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<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/6264a87f4c65f41259ebd0e4/bg1.jpg"><div class="c x0 y1 w2 h2"><div class="t m0 x1 h3 y2 ff1 fs0 fc0 sc0 ls0 ws0">第</div><div class="t m0 x2 h4 y3 ff2 fs0 fc0 sc0 ls0 ws0">1<span class="_ _0"></span>2</div><div class="t m0 x3 h3 y2 ff1 fs0 fc0 sc0 ls0 ws0">卷<span class="_ _1"></span>第</div><div class="t m0 x4 h4 y3 ff2 fs0 fc0 sc0 ls0 ws0">4</div><div class="t m0 x5 h3 y2 ff1 fs0 fc0 sc0 ls0 ws0">期</div><div class="t m0 x6 h4 y4 ff2 fs0 fc0 sc0 ls0 ws0">2<span class="_ _0"></span>0<span class="_ _0"></span>1<span class="_ _0"></span>3</div><div class="t m0 x7 h3 y5 ff1 fs0 fc0 sc0 ls0 ws0">年</div><div class="t m0 x8 h4 y4 ff2 fs0 fc0 sc0 ls0 ws0">1<span class="_ _0"></span>2</div><div class="t m0 x9 h3 y5 ff1 fs0 fc0 sc0 ls0 ws0">月</div><div class="t m0 xa h5 y6 ff3 fs1 fc0 sc0 ls0 ws0">热<span class="_ _2"> </span>科<span class="_ _2"> </span>学<span class="_ _2"> </span>与<span class="_ _3"> </span>技<span class="_ _3"> </span>术</div><div class="t m0 xb h6 y7 ff4 fs1 fc0 sc0 ls0 ws0">J<span class="_ _4"></span>o<span class="_ _5"></span>u<span class="_ _4"></span>r<span class="_ _4"></span>n<span class="_ _5"></span>a<span class="_ _6"></span>l</div><div class="t m0 xc h7 y8 ff5 fs1 fc0 sc0 ls0 ws0"> </div><div class="t m0 xa h6 y7 ff4 fs1 fc0 sc0 ls0 ws0">o<span class="_ _7"></span>f</div><div class="t m0 xd h7 y8 ff5 fs1 fc0 sc0 ls0 ws0"> </div><div class="t m0 xe h6 y7 ff4 fs1 fc0 sc0 ls0 ws0">T<span class="_ _8"></span>h<span class="_ _4"></span>e<span class="_ _7"></span>r<span class="_ _8"></span>m<span class="_ _9"></span>a<span class="_ _6"></span>l</div><div class="t m0 xf h7 y8 ff5 fs1 fc0 sc0 ls0 ws0"> </div><div class="t m0 x10 h6 y7 ff4 fs1 fc0 sc0 ls0 ws0">S<span class="_ _4"></span>c<span class="_ _a"></span>i<span class="_ _a"></span>e<span class="_ _4"></span>n<span class="_ _4"></span>c<span class="_ _7"></span>e</div><div class="t m0 x11 h7 y8 ff5 fs1 fc0 sc0 ls0 ws0"> </div><div class="t m0 x12 h6 y7 ff4 fs1 fc0 sc0 ls0 ws0">a<span class="_ _5"></span>n<span class="_ _b"></span>d</div><div class="t m0 x13 h7 y8 ff5 fs1 fc0 sc0 ls0 ws0"> </div><div class="t m0 x14 h6 y7 ff4 fs1 fc0 sc0 ls0 ws0">T<span class="_ _5"></span>e<span class="_ _7"></span>c<span class="_ _5"></span>h<span class="_ _b"></span>n<span class="_ _5"></span>o<span class="_ _6"></span>l<span class="_ _6"></span>o</div><div class="t m0 x15 h6 y9 ff4 fs1 fc0 sc0 ls0 ws0">g<span class="_ _4"></span>y</div><div class="t m0 x16 h4 y3 ff2 fs0 fc0 sc0 ls0 ws0">V<span class="_ _c"></span>o<span class="_ _8"></span>l<span class="_ _c"></span>.<span class="_ _5"></span>1<span class="_ _0"></span>2<span class="_ _1"></span>N<span class="_ _c"></span>o<span class="_ _d"></span>.<span class="_ _5"></span>4</div><div class="t m0 x17 h4 y4 ff2 fs0 fc0 sc0 ls0 ws0">D<span class="_ _e"></span>e<span class="_ _f"></span>c<span class="_ _10"></span>.<span class="_ _e"></span>2<span class="_ _0"></span>0<span class="_ _0"></span>1<span class="_ _0"></span>3</div><div class="t m0 x18 h8 ya ff6 fs2 fc0 sc0 ls0 ws0">文<span class="_ _1"></span>章<span class="_ _1"></span>编<span class="_ _11"></span>号</div><div class="t m0 x19 h9 yb ff7 fs2 fc0 sc0 ls0 ws0">:</div><div class="t m0 x1a ha yc ff2 fs2 fc0 sc0 ls0 ws0">1<span class="_ _f"></span>6<span class="_ _f"></span>7<span class="_ _9"></span>1</div><div class="t m1 x1b ha yd ff2 fs2 fc0 sc0 ls0 ws0">-</div><div class="t m0 x1c ha yc ff2 fs2 fc0 sc0 ls0 ws0">8<span class="_ _f"></span>0<span class="_ _f"></span>9<span class="_ _9"></span>7</div><div class="t m0 x1d hb yb ff8 fs2 fc0 sc0 ls0 ws0">(</div><div class="t m0 x1e ha yc ff2 fs2 fc0 sc0 ls0 ws0">2<span class="_ _f"></span>0<span class="_ _f"></span>1<span class="_ _9"></span>3</div><div class="t m0 x1f hb yb ff8 fs2 fc0 sc0 ls0 ws0">)</div><div class="t m0 x20 ha yc ff2 fs2 fc0 sc0 ls0 ws0">0<span class="_ _f"></span>4</div><div class="t m1 x21 ha yd ff2 fs2 fc0 sc0 ls0 ws0">-</div><div class="t m0 xb ha yc ff2 fs2 fc0 sc0 ls0 ws0">0<span class="_ _f"></span>3<span class="_ _f"></span>3<span class="_ _9"></span>5</div><div class="t m1 x22 ha yd ff2 fs2 fc0 sc0 ls0 ws0">-</div><div class="t m0 x23 ha yc ff2 fs2 fc0 sc0 ls0 ws0">0<span class="_ _f"></span>7</div><div class="t m0 x24 hc yd ff5 fs2 fc0 sc0 ls0 ws0"> </div><div class="t m0 x25 hd yc ff4 fs2 fc0 sc0 ls0 ws0">D<span class="_ _c"></span>O<span class="_ _9"></span>I</div><div class="t m0 x26 hb yb ff8 fs2 fc0 sc0 ls0 ws0">:</div><div class="t m0 x27 ha yc ff2 fs2 fc0 sc0 ls0 ws0">1<span class="_ _f"></span>0<span class="_ _d"></span>.<span class="_ _4"></span>3<span class="_ _f"></span>9<span class="_ _f"></span>6<span class="_ _f"></span>9</div><div class="t m0 x28 hb yb ff8 fs2 fc0 sc0 ls0 ws0">/</div><div class="t m0 x29 ha ye ff2 fs2 fc0 sc0 ls0 ws0">j</div><div class="t m0 x2a ha yc ff2 fs2 fc0 sc0 ls0 ws0">.<span class="_ _a"></span>i<span class="_ _b"></span>s<span class="_ _b"></span>s<span class="_ _f"></span>n<span class="_ _d"></span>.<span class="_ _7"></span>1<span class="_ _f"></span>6<span class="_ _9"></span>7<span class="_ _f"></span>1</div><div class="t m1 x2b ha yd ff2 fs2 fc0 sc0 ls0 ws0">-</div><div class="t m0 x2c ha yc ff2 fs2 fc0 sc0 ls0 ws0">8<span class="_ _f"></span>0<span class="_ _f"></span>9<span class="_ _9"></span>7<span class="_ _d"></span>.<span class="_ _7"></span>2<span class="_ _9"></span>0<span class="_ _f"></span>1<span class="_ _f"></span>3<span class="_ _12"></span>.<span class="_ _7"></span>0<span class="_ _f"></span>4<span class="_ _12"></span>.<span class="_ _7"></span>0<span class="_ _f"></span>1<span class="_ _9"></span>0</div><div class="t m0 x2 he yf ff6 fs3 fc0 sc0 ls1 ws0">非牛顿流体液滴铺展过程的格子</div><div class="t m0 x2d hf y10 ff4 fs3 fc0 sc0 ls0 ws0">B<span class="_ _13"></span>o<span class="_ _14"></span>l<span class="_ _15"></span>t<span class="_ _14"></span>z<span class="_ _a"></span>m<span class="_ _6"></span>a<span class="_ _16"></span>n<span class="_ _17"></span>n</div><div class="t m0 x2e he yf ff6 fs3 fc0 sc0 ls0 ws0">模<span class="_ _18"></span>拟</div><div class="t m0 x2f h10 y11 ff9 fs4 fc0 sc0 ls0 ws0">闵</div><div class="t m0 x1f h11 y12 ff5 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x30 h10 y11 ff9 fs4 fc0 sc0 ls0 ws0">琪</div><div class="t m0 x31 h4 y13 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x32 h12 y14 ffa fs4 fc0 sc0 ls0 ws0">,</div><div class="t m0 x33 h11 y12 ff5 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x34 h10 y11 ff9 fs4 fc0 sc0 ls0 ws0">段<span class="_ _19"> </span>远<span class="_ _19"> </span>源</div><div class="t m0 x35 h4 y13 ff2 fs0 fc0 sc0 ls0 ws0">2</div><div class="t m0 x10 h12 y14 ffa fs4 fc0 sc0 ls0 ws0">,</div><div class="t m0 x36 h11 y12 ff5 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x37 h13 y11 ff3 fs4 fc0 sc0 ls0 ws0">王<span class="_ _19"> </span>晓<span class="_ _19"> </span><span class="ff9">东</span></div><div class="t m0 x38 h4 y13 ff2 fs0 fc0 sc0 ls0 ws0">3</div><div class="t m0 x39 h12 y14 ffa fs4 fc0 sc0 ls0 ws0">,</div><div class="t m0 x27 h11 y12 ff5 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3a h13 y11 ff3 fs4 fc0 sc0 ls0 ws0">吴<span class="_ _19"> </span><span class="ff9">莘<span class="_ _19"> </span>馨</span></div><div class="t m0 x3b h4 y13 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x3c h14 y15 ffb fs2 fc0 sc0 ls0 ws0">(</div><div class="t m0 x1f ha y16 ff2 fs2 fc0 sc0 ls0 ws0">1<span class="_ _d"></span>.</div><div class="t m0 x3d h8 y17 ffc fs2 fc0 sc0 ls2 ws0">清华大学<span class="_ _1a"> </span>核能与新能源技术研究院</div><div class="t m0 x3e h14 y15 ffb fs2 fc0 sc0 ls0 ws0">,</div><div class="t m0 x3f h8 y17 ffc fs2 fc0 sc0 ls0 ws0">北<span class="_ _1"></span>京</div><div class="t m0 x40 ha y16 ff2 fs2 fc0 sc0 ls0 ws0">1<span class="_ _f"></span>0<span class="_ _f"></span>0<span class="_ _9"></span>0<span class="_ _f"></span>8<span class="_ _f"></span>4</div><div class="t m0 x41 h14 y15 ffb fs2 fc0 sc0 ls0 ws0">;</div><div class="t m0 x1f ha y18 ff2 fs2 fc0 sc0 ls0 ws0">2<span class="_ _d"></span>.</div><div class="t m0 x3d h8 y19 ffc fs2 fc0 sc0 ls2 ws0">清华大学<span class="_ _1a"> </span>热科学与动力工程教育部重点实验室</div><div class="t m0 x42 h14 y1a ffb fs2 fc0 sc0 ls0 ws0">,</div><div class="t m0 x2d h8 y19 ffc fs2 fc0 sc0 ls0 ws0">北<span class="_ _1"></span>京</div><div class="t m0 x15 ha y18 ff2 fs2 fc0 sc0 ls0 ws0">1<span class="_ _f"></span>0<span class="_ _f"></span>0<span class="_ _9"></span>0<span class="_ _f"></span>8<span class="_ _f"></span>4</div><div class="t m0 x43 h14 y1a ffb fs2 fc0 sc0 ls0 ws0">;</div><div class="t m0 x1f ha y1b ff2 fs2 fc0 sc0 ls0 ws0">3<span class="_ _d"></span>.</div><div class="t m0 x3d h8 y1c ffc fs2 fc0 sc0 ls2 ws0">华北电力大学<span class="_ _1a"> </span>新能源电力系统国家重点实验室</div><div class="t m0 x42 h14 y1d ffb fs2 fc0 sc0 ls0 ws0">,</div><div class="t m0 x2d h8 y1c ffc fs2 fc0 sc0 ls0 ws0">北<span class="_ _1"></span>京</div><div class="t m0 x15 ha y1b ff2 fs2 fc0 sc0 ls0 ws0">1<span class="_ _f"></span>0<span class="_ _f"></span>2<span class="_ _9"></span>2<span class="_ _f"></span>0<span class="_ _f"></span>6</div><div class="t m0 x44 h14 y1d ffb fs2 fc0 sc0 ls0 ws0">)</div><div class="t m0 x45 h15 y1e ff6 fs5 fc0 sc0 ls0 ws0">摘<span class="_ _1"></span>要</div><div class="t m0 x1a h16 y1f ff7 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m0 x46 h8 y20 ffc fs2 fc0 sc0 ls0 ws0">格<span class="_ _1"></span>子</div><div class="t m0 x47 ha y21 ff2 fs2 fc0 sc0 ls0 ws0">B<span class="_ _9"></span>o<span class="_ _8"></span>l<span class="_ _4"></span>t<span class="_ _b"></span>z<span class="_ _e"></span>m<span class="_ _e"></span>a<span class="_ _f"></span>n<span class="_ _f"></span>n</div><div class="t m0 x48 h8 y20 ffc fs2 fc0 sc0 ls2 ws0">可有效模拟气液两相流<span class="_ _1b"></span>动</div><div class="t m0 x49 h14 y22 ffb fs2 fc0 sc0 ls0 ws0">,</div><div class="t m0 x4a h8 y20 ffc fs2 fc0 sc0 ls3 ws0">成功应用于牛顿流体动态湿润领域和非牛顿流体单相流</div><div class="t m0 x45 h8 y23 ffc fs2 fc0 sc0 ls0 ws0">动<span class="_ _1"></span>领<span class="_ _1"></span>域<span class="_ _11"></span>的<span class="_ _1"></span>研<span class="_ _1"></span>究</div><div class="t m0 x4b h14 y24 ffb fs2 fc0 sc0 ls0 ws0">。</div><div class="t m0 x1e h8 y23 ffc fs2 fc0 sc0 ls2 ws0">将牛顿流体的两相流<span class="_ _1b"></span>动<span class="_ _1b"></span>格<span class="_ _1b"></span>子</div><div class="t m0 x4c ha y25 ff2 fs2 fc0 sc0 ls0 ws0">B<span class="_ _9"></span>o<span class="_ _8"></span>l<span class="_ _4"></span>t<span class="_ _b"></span>z<span class="_ _e"></span>m<span class="_ _e"></span>a<span class="_ _f"></span>n<span class="_ _f"></span>n</div><div class="t m0 x4d h8 y23 ffc fs2 fc0 sc0 ls3 ws0">模型与非牛顿流体单相流动格子</div><div class="t m0 x4e ha y25 ff2 fs2 fc0 sc0 ls0 ws0">B<span class="_ _9"></span>o<span class="_ _8"></span>l<span class="_ _4"></span>t<span class="_ _b"></span>z<span class="_ _e"></span>m<span class="_ _e"></span>a<span class="_ _f"></span>n<span class="_ _f"></span>n</div><div class="t m0 x16 h8 y23 ffc fs2 fc0 sc0 ls0 ws0">模<span class="_ _11"></span>型<span class="_ _11"></span>相</div><div class="t m0 x45 h8 y26 ffc fs2 fc0 sc0 ls0 ws0">结<span class="_ _1"></span>合</div><div class="t m0 x4f h14 y27 ffb fs2 fc0 sc0 ls0 ws0">,</div><div class="t m0 x9 h8 y26 ffc fs2 fc0 sc0 ls2 ws0">建立了幂指流体两相流动格子</div><div class="t m0 x50 ha y28 ff2 fs2 fc0 sc0 ls0 ws0">B<span class="_ _9"></span>o<span class="_ _8"></span>l<span class="_ _4"></span>t<span class="_ _b"></span>z<span class="_ _e"></span>m<span class="_ _e"></span>a<span class="_ _f"></span>n<span class="_ _f"></span>n</div><div class="t m0 x51 h8 y26 ffc fs2 fc0 sc0 ls0 ws0">模<span class="_ _1"></span>型</div><div class="t m0 x52 h14 y27 ffb fs2 fc0 sc0 ls0 ws0">,</div><div class="t m0 x36 h8 y26 ffc fs2 fc0 sc0 ls2 ws0">模拟了牛顿流体和幂指流体液滴铺展过程</div><div class="t m0 x53 h14 y27 ffb fs2 fc0 sc0 ls0 ws0">,</div><div class="t m0 x54 h8 y26 ffc fs2 fc0 sc0 ls0 ws0">并<span class="_ _11"></span>将<span class="_ _11"></span>液<span class="_ _11"></span>滴<span class="_ _11"></span>半</div><div class="t m0 x45 h8 y29 ffc fs2 fc0 sc0 ls2 ws0">径随时间的变化规律模拟结果与<span class="ls3">液滴铺展理论模型进行了比较</span></div><div class="t m0 x55 h14 y2a ffb fs2 fc0 sc0 ls0 ws0">,</div><div class="t m0 x56 h8 y2b ffc fs2 fc0 sc0 ls3 ws0">对两类流体的铺展指数与流变指数变化关</div><div class="t m0 x45 h8 y2c ffc fs2 fc0 sc0 ls2 ws0">系进行了分析讨论</div><div class="t m0 x57 h14 y2d ffb fs2 fc0 sc0 ls0 ws0">。</div><div class="t m0 x45 h15 y2e ff6 fs5 fc0 sc0 ls0 ws0">关<span class="_ _1"></span>键<span class="_ _1"></span>词</div><div class="t m0 x58 h16 y2f ff7 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m0 x59 h15 y2e ffc fs5 fc0 sc0 ls0 ws0">格<span class="_ _1"></span>子</div><div class="t m0 x5a h17 y30 ff2 fs5 fc0 sc0 ls0 ws0">B<span class="_ _f"></span>o<span class="_ _4"></span>l<span class="_ _7"></span>t<span class="_ _4"></span>z<span class="_ _9"></span>m<span class="_ _e"></span>a<span class="_ _b"></span>n<span class="_ _f"></span>n</div><div class="t m0 x5b h18 y2f ffb fs5 fc0 sc0 ls0 ws0">;</div><div class="t m0 x22 h15 y2e ffc fs5 fc0 sc0 ls0 ws0">非<span class="_ _1"></span>牛<span class="_ _1"></span>顿<span class="_ _11"></span>流<span class="_ _1"></span>体</div><div class="t m0 x5c h18 y2f ffb fs5 fc0 sc0 ls0 ws0">;</div><div class="t m0 x4c h15 y2e ffc fs5 fc0 sc0 ls0 ws0">液<span class="_ _1"></span>滴<span class="_ _1"></span>铺<span class="_ _11"></span>展</div><div class="t m0 x5d h18 y2f ffb fs5 fc0 sc0 ls0 ws0">;</div><div class="t m0 x5e h15 y2e ffc fs5 fc0 sc0 ls0 ws0">动<span class="_ _1"></span>态<span class="_ _1"></span>湿<span class="_ _11"></span>润</div><div class="t m0 x5f h18 y2f ffb fs5 fc0 sc0 ls0 ws0">;</div><div class="t m0 x60 h15 y2e ffc fs5 fc0 sc0 ls0 ws0">幂<span class="_ _1"></span>指<span class="_ _1"></span>流<span class="_ _11"></span>体</div><div class="t m0 x45 h15 y31 ff6 fs5 fc0 sc0 ls0 ws0">中<span class="_ _1"></span>图<span class="_ _1"></span>分<span class="_ _11"></span>类<span class="_ _1"></span>号</div><div class="t m0 x61 h16 y32 ff7 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m0 x62 h17 y33 ff2 fs5 fc0 sc0 ls0 ws0">T<span class="_ _10"></span>K<span class="_ _9"></span>1<span class="_ _8"></span>2<span class="_ _8"></span>4</div><div class="t m0 x63 h15 y31 ff1 fs5 fc0 sc0 ls0 ws0">文<span class="_ _1"></span>献<span class="_ _1"></span>标<span class="_ _11"></span>识<span class="_ _1"></span>码</div><div class="t m0 x5c h19 y32 ff8 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m0 x64 h17 y33 ff2 fs5 fc0 sc0 ls0 ws0">A</div><div class="t m0 x65 h3 y34 ff6 fs0 fc0 sc0 ls0 ws0">收<span class="_ _1"></span>稿<span class="_ _1"></span>日<span class="_ _1"></span>期</div><div class="t m0 x66 h1a y35 ff7 fs0 fc0 sc0 ls0 ws0">:</div><div class="t m0 x58 h4 y36 ff2 fs0 fc0 sc0 ls0 ws0">2<span class="_ _0"></span>0<span class="_ _0"></span>1<span class="_ _0"></span>3</div><div class="t m2 x47 h4 y37 ff2 fs0 fc0 sc0 ls0 ws0">-</div><div class="t m0 x67 h4 y36 ff2 fs0 fc0 sc0 ls0 ws0">0<span class="_ _0"></span>4</div><div class="t m2 x68 h4 y37 ff2 fs0 fc0 sc0 ls0 ws0">-</div><div class="t m0 x1d h4 y36 ff2 fs0 fc0 sc0 ls0 ws0">2<span class="_ _0"></span>0</div><div class="t m0 x69 h1a y35 ff7 fs0 fc0 sc0 ls0 ws0">;</div><div class="t m0 x6a h1b y37 ff5 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x6b h3 y34 ff6 fs0 fc0 sc0 ls0 ws0">修<span class="_ _1"></span>回<span class="_ _1"></span>日<span class="_ _1"></span>期</div><div class="t m0 x31 h1a y35 ff7 fs0 fc0 sc0 ls0 ws0">:</div><div class="t m0 x23 h4 y36 ff2 fs0 fc0 sc0 ls0 ws0">2<span class="_ _0"></span>0<span class="_ _0"></span>1<span class="_ _0"></span>3</div><div class="t m2 xc h4 y37 ff2 fs0 fc0 sc0 ls0 ws0">-</div><div class="t m0 x6c h4 y36 ff2 fs0 fc0 sc0 ls0 ws0">1<span class="_ _0"></span>1</div><div class="t m2 x6d h4 y37 ff2 fs0 fc0 sc0 ls0 ws0">-</div><div class="t m0 x6e h4 y36 ff2 fs0 fc0 sc0 ls0 ws0">1<span class="_ _0"></span>2<span class="_ _12"></span>.</div><div class="t m0 x65 h3 y38 ff6 fs0 fc0 sc0 ls0 ws0">基<span class="_ _1"></span>金<span class="_ _1"></span>项<span class="_ _1"></span>目</div><div class="t m0 x66 h1a y39 ff7 fs0 fc0 sc0 ls0 ws0">:</div><div class="t m0 x6f h3 y38 ff1 fs0 fc0 sc0 ls4 ws0">国家自然科学基金资助项目</div><div class="t m0 x33 h1c y39 ff8 fs0 fc0 sc0 ls0 ws0">(</div><div class="t m0 x70 h4 y3a ff2 fs0 fc0 sc0 ls5 ws0">51206093</div><div class="t m0 x71 h1c y39 ff8 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x72 h4 y3a ff2 fs0 fc0 sc0 ls5 ws0">21176133</div><div class="t m0 x73 h1c y39 ff8 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 x74 h4 y3a ff2 fs0 fc0 sc0 ls0 ws0">.</div><div class="t m0 x65 h3 y3b ff6 fs0 fc0 sc0 ls0 ws0">作<span class="_ _1"></span>者<span class="_ _1"></span>简<span class="_ _1"></span>介</div><div class="t m0 x66 h1a y3c ff7 fs0 fc0 sc0 ls0 ws0">:</div><div class="t m0 x6f h3 y3b ff1 fs0 fc0 sc0 ls0 ws0">闵<span class="_ _1c"> </span>琪</div><div class="t m0 x75 h1c y3c ff8 fs0 fc0 sc0 ls0 ws0">(</div><div class="t m0 x68 h4 y3d ff2 fs0 fc0 sc0 ls0 ws0">1<span class="_ _0"></span>9<span class="_ _0"></span>8<span class="_ _0"></span>5</div><div class="t m2 x76 h4 y3e ff2 fs0 fc0 sc0 ls0 ws0">-</div><div class="t m0 x77 h1c y3c ff8 fs0 fc0 sc0 ls0 ws0">)<span class="_ _0"></span>,</div><div class="t m0 x78 h3 y3b ff1 fs0 fc0 sc0 ls0 ws0">女</div><div class="t m0 x3d h1c y3c ff8 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x79 h3 y3b ff1 fs0 fc0 sc0 ls0 ws0">江<span class="_ _1b"></span>西<span class="_ _1"></span>南<span class="_ _1b"></span>昌<span class="_ _1"></span>人</div><div class="t m0 x6c h1c y3c ff8 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x7a h3 y3b ff1 fs0 fc0 sc0 ls0 ws0">博<span class="_ _1b"></span>士</div><div class="t m0 x7b h1c y3c ff8 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x7c h3 y3b ff1 fs0 fc0 sc0 ls0 ws0">助<span class="_ _1b"></span>理<span class="_ _1"></span>研<span class="_ _1b"></span>究<span class="_ _1"></span>员</div><div class="t m0 x73 h1c y3c ff8 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x7d h3 y3b ff1 fs0 fc0 sc0 ls6 ws0">主要从事热力学与流体热物性研究</div><div class="t m0 x7e h4 y3d ff2 fs0 fc0 sc0 ls0 ws0">.<span class="_ _10"></span>E</div><div class="t m2 x7f h4 y3e ff2 fs0 fc0 sc0 ls0 ws0">-</div><div class="t m0 x43 h4 y3d ff2 fs0 fc0 sc0 ls0 ws0">m<span class="_ _c"></span>a<span class="_ _8"></span>i<span class="_ _5"></span>l</div><div class="t m0 x4e h1c y3c ff8 fs0 fc0 sc0 ls0 ws0">:</div><div class="t m0 x80 h4 y3d ff2 fs0 fc0 sc0 ls0 ws0">m<span class="_ _0"></span>i<span class="_ _f"></span>n</div><div class="t m0 x81 h4 y3f ff2 fs0 fc0 sc0 ls0 ws0">q</div><div class="t m0 x2c h4 y3d ff2 fs0 fc0 sc0 ls0 ws0">8<span class="_ _0"></span>6</div><div class="t m0 x82 h1d y3e ffd fs0 fc0 sc0 ls0 ws0">@</div><div class="t m0 x83 h4 y3d ff2 fs0 fc0 sc0 ls0 ws0">t<span class="_ _8"></span>s<span class="_ _8"></span>i<span class="_ _8"></span>n</div><div class="t m0 x84 h4 y3f ff2 fs0 fc0 sc0 ls0 ws0">g</div><div class="t m0 x85 h4 y3d ff2 fs0 fc0 sc0 ls0 ws0">h<span class="_ _0"></span>u<span class="_ _0"></span>a<span class="_ _d"></span>.<span class="_ _5"></span>e<span class="_ _9"></span>d<span class="_ _0"></span>u<span class="_ _12"></span>.<span class="_ _5"></span>c<span class="_ _9"></span>n</div><div class="t m0 x86 h1e y40 ff4 fs4 fc0 sc0 ls0 ws0">0</div><div class="t m0 x87 h11 y41 ff5 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x45 h1f y42 ff6 fs4 fc0 sc0 ls0 ws0">引</div><div class="t m0 x88 h11 y41 ff5 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x89 h1f y42 ff6 fs4 fc0 sc0 ls0 ws0">言</div><div class="t m0 x45 h15 y43 ff1 fs5 fc0 sc0 ls0 ws0">液<span class="_ _1"></span>体<span class="_ _1"></span>滴<span class="_ _11"></span>在<span class="_ _1"></span>固<span class="_ _11"></span>体<span class="_ _11"></span>表<span class="_ _18"></span>面<span class="_ _18"></span>上<span class="_ _11"></span>时</div><div class="t m0 x8a h19 y44 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x8b h15 y43 ff1 fs5 fc0 sc0 ls0 ws0">有<span class="_ _11"></span>的<span class="_ _18"></span>铺<span class="_ _18"></span>展<span class="_ _11"></span>成<span class="_ _18"></span>液<span class="_ _18"></span>膜<span class="_ _18"></span>覆</div><div class="t m0 x18 h15 y45 ff1 fs5 fc0 sc0 ls0 ws0">盖<span class="_ _1"></span>固<span class="_ _1"></span>体<span class="_ _11"></span>表<span class="_ _1"></span>面</div><div class="t m0 x58 h19 y46 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x8c h15 y45 ff1 fs5 fc0 sc0 ls7 ws0">有的仍保持液滴形状附着在固体上</div><div class="t m0 x8d h19 y46 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x18 h15 y47 ff1 fs5 fc0 sc0 ls8 ws0">这<span class="_ _1d"></span>类<span class="_ _1d"></span>流<span class="_ _1d"></span>体湿<span class="_ _1e"></span>润固体表面的过程称为动态湿润过</div><div class="t m0 x18 h15 y48 ff1 fs5 fc0 sc0 ls0 ws0">程</div><div class="t m0 x2 h19 y49 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x65 h15 y48 ff1 fs5 fc0 sc0 ls9 ws0">对<span class="_ _1e"></span>流<span class="_ _1d"></span>体在<span class="_ _1d"></span>固体表面上流动特<span class="lsa">性的研究构成湿</span></div><div class="t m0 x18 h15 y4a ff1 fs5 fc0 sc0 ls0 ws0">润<span class="_ _1"></span>动<span class="_ _1"></span>力<span class="_ _11"></span>学</div><div class="t m0 x1a h20 y4b ff8 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x9 h21 y4c ff2 fs6 fc0 sc0 ls0 ws0">1</div><div class="t m3 x66 h21 y4d ff2 fs6 fc0 sc0 ls0 ws0">-</div><div class="t m0 x89 h21 y4c ff2 fs6 fc0 sc0 ls0 ws0">6</div><div class="t m0 x58 h20 y4b ff8 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x8c h19 y4e ff8 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x8e h15 y4a ff1 fs5 fc0 sc0 lsb ws0">数值<span class="_ _1e"></span>模拟是流体动态湿润的重要</div><div class="t m0 x18 h15 y4f ff1 fs5 fc0 sc0 ls0 ws0">研<span class="_ _1"></span>究<span class="_ _1"></span>手<span class="_ _11"></span>段<span class="_ _1"></span>之<span class="_ _1"></span>一</div><div class="t m0 x1c h19 y50 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x8f h15 y4f ff1 fs5 fc0 sc0 ls9 ws0">它不仅可以模拟<span class="lsa">流体的宏观流动</span></div><div class="t m0 x18 h15 y51 ff1 fs5 fc0 sc0 ls0 ws0">状<span class="_ _1"></span>态</div><div class="t m0 x45 h19 y52 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x90 h15 y51 ff1 fs5 fc0 sc0 ls7 ws0">同时可以获取流动过程的微观信息</div><div class="t m0 x91 h19 y52 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x92 h15 y51 ff1 fs5 fc0 sc0 ls0 ws0">其<span class="_ _1"></span>中<span class="_ _1"></span>以</div><div class="t m0 x18 h15 y53 ff1 fs5 fc0 sc0 ls0 ws0">格<span class="_ _1"></span>子</div><div class="t m0 x93 h17 y54 ff2 fs5 fc0 sc0 ls0 ws0">B<span class="_ _f"></span>o<span class="_ _4"></span>l<span class="_ _7"></span>t<span class="_ _4"></span>z<span class="_ _9"></span>m<span class="_ _e"></span>a<span class="_ _b"></span>n<span class="_ _f"></span>n</div><div class="t m0 x67 h15 y55 ff1 fs5 fc0 sc0 ls0 ws0">方<span class="_ _18"></span>法</div><div class="t m0 x57 h19 y56 ff8 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 x6a h17 y54 ff2 fs5 fc0 sc0 ls0 ws0">l<span class="_ _4"></span>a<span class="_ _4"></span>t<span class="_ _7"></span>t<span class="_ _7"></span>i<span class="_ _7"></span>c<span class="_ _5"></span>e</div><div class="t m0 x30 h22 y57 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x94 h17 y54 ff2 fs5 fc0 sc0 ls0 ws0">B<span class="_ _f"></span>o<span class="_ _4"></span>l<span class="_ _7"></span>t<span class="_ _4"></span>z<span class="_ _9"></span>m<span class="_ _e"></span>a<span class="_ _b"></span>n<span class="_ _f"></span>n</div><div class="t m0 x95 h22 y57 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x96 h17 y54 ff2 fs5 fc0 sc0 ls0 ws0">m<span class="_ _0"></span>e<span class="_ _4"></span>t<span class="_ _b"></span>h<span class="_ _f"></span>o<span class="_ _8"></span>d</div><div class="t m0 x8d h19 y56 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x97 h17 y58 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 x3 h19 y59 ff8 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x98 h15 y5a ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>代<span class="_ _1"></span>表<span class="_ _11"></span>的<span class="_ _1"></span>介<span class="_ _1"></span>观<span class="_ _11"></span>模<span class="_ _11"></span>拟<span class="_ _11"></span>方<span class="_ _18"></span>法<span class="_ _11"></span>以<span class="_ _11"></span>由<span class="_ _18"></span>大<span class="_ _11"></span>量<span class="_ _11"></span>分<span class="_ _18"></span>子<span class="_ _11"></span>组<span class="_ _11"></span>成</div><div class="t m0 x18 h15 y5b ff1 fs5 fc0 sc0 ls0 ws0">的<span class="_ _1"></span>颗<span class="_ _1"></span>粒<span class="_ _11"></span>微<span class="_ _1"></span>团<span class="_ _1"></span>为<span class="_ _11"></span>模<span class="_ _11"></span>拟<span class="_ _18"></span>单<span class="_ _18"></span>元</div><div class="t m0 x99 h19 y5c ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x9a h15 y5b ff1 fs5 fc0 sc0 lsa ws0">利用非平衡态统计物理</div><div class="t m0 x18 h15 y5d ff1 fs5 fc0 sc0 ls0 ws0">的<span class="_ _1"></span>方<span class="_ _1"></span>法<span class="_ _11"></span>来<span class="_ _1"></span>研<span class="_ _1"></span>究<span class="_ _11"></span>流<span class="_ _11"></span>体<span class="_ _18"></span>性<span class="_ _18"></span>质</div><div class="t m0 x99 h19 y5e ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x9a h15 y5d ff1 fs5 fc0 sc0 lsa ws0">用概率函数描述粒子运</div><div class="t m0 x18 h15 y5f ff1 fs5 fc0 sc0 ls0 ws0">动</div><div class="t m0 x2 h19 y60 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x65 h15 y61 ff1 fs5 fc0 sc0 ls9 ws0">这<span class="_ _1e"></span>种<span class="_ _1d"></span>方法<span class="_ _1d"></span>较分子动力学模拟<span class="lsa">等微观方法大大</span></div><div class="t m0 x18 h15 y62 ff1 fs5 fc0 sc0 ls0 ws0">减<span class="_ _1"></span>小<span class="_ _1"></span>了<span class="_ _11"></span>计<span class="_ _1"></span>算<span class="_ _1"></span>量</div><div class="t m0 x1c h19 y63 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x8e h15 y62 ff1 fs5 fc0 sc0 ls0 ws0">提<span class="_ _1"></span>高<span class="_ _1"></span>了<span class="_ _11"></span>效<span class="_ _1"></span>率</div><div class="t m0 x79 h19 y63 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x9b h15 y62 ff1 fs5 fc0 sc0 ls7 ws0">同时以介观颗粒微团</div><div class="t m0 x18 h15 y64 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _11"></span>研<span class="_ _1f"> </span>究<span class="_ _18"></span>对<span class="_ _18"></span>象</div><div class="t m0 x6f h19 y65 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x1b h15 y64 ff1 fs5 fc0 sc0 lsc ws0">更易于模拟接近宏观实际的尺度</div><div class="t m0 x8d h19 y65 ff8 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x18 h15 y66 ff1 fs5 fc0 sc0 ls0 ws0">由<span class="_ _1"></span>于</div><div class="t m0 x3 h17 y67 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 x46 h15 y66 ff1 fs5 fc0 sc0 ls0 ws0">可<span class="_ _18"></span>较<span class="_ _18"></span>好<span class="_ _18"></span>地<span class="_ _18"></span>处<span class="_ _18"></span>理<span class="_ _18"></span>流<span class="_ _18"></span>体<span class="_ _18"></span>与<span class="_ _18"></span>边<span class="_ _18"></span>界<span class="_ _18"></span>之<span class="_ _18"></span>间</div><div class="t m0 x9c h19 y68 ff8 fs5 fc0 sc0 ls0 ws0">、</div><div class="t m0 x9d h15 y66 ff1 fs5 fc0 sc0 ls0 ws0">不<span class="_ _18"></span>同</div><div class="t m0 x18 h15 y69 ff1 fs5 fc0 sc0 ls0 ws0">流<span class="_ _1"></span>体<span class="_ _1"></span>组<span class="_ _11"></span>分<span class="_ _1"></span>之<span class="_ _1"></span>间<span class="_ _11"></span>复<span class="_ _11"></span>杂<span class="_ _18"></span>的<span class="_ _18"></span>相<span class="_ _11"></span>互<span class="_ _18"></span>作<span class="_ _18"></span>用</div><div class="t m0 x9e h19 y6a ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x9f h15 y69 ff1 fs5 fc0 sc0 lsa ws0">一方面在牛顿流</div><div class="t m0 x18 h15 y6b ff1 fs5 fc0 sc0 ls0 ws0">体<span class="_ _1"></span>动<span class="_ _1"></span>态<span class="_ _11"></span>湿<span class="_ _1"></span>润<span class="_ _1"></span>研<span class="_ _11"></span>究<span class="_ _11"></span>方<span class="_ _18"></span>面<span class="_ _18"></span>有<span class="_ _11"></span>大<span class="_ _18"></span>量<span class="_ _18"></span>应<span class="_ _11"></span>用</div><div class="t m0 x33 h19 y6c ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xa0 h15 y6b ff1 fs5 fc0 sc0 ls0 ws0">成<span class="_ _11"></span>功<span class="_ _18"></span>模<span class="_ _18"></span>拟<span class="_ _11"></span>了<span class="_ _18"></span>液</div><div class="t m0 x18 h15 y6d ff1 fs5 fc0 sc0 ls0 ws0">滴<span class="_ _1"></span>铺<span class="_ _1"></span>展</div><div class="t m0 x8 h19 y6e ff8 fs5 fc0 sc0 ls0 ws0">、</div><div class="t m0 x19 h15 y6d ff1 fs5 fc0 sc0 lsd ws0">毛<span class="_ _1d"></span>细管上升<span class="_ _1e"></span>等典型的动态湿润现象</div><div class="t m0 xa1 h20 y6f ff8 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 xa2 h21 y70 ff2 fs6 fc0 sc0 ls0 ws0">7</div><div class="t m3 x51 h21 y71 ff2 fs6 fc0 sc0 ls0 ws0">-</div><div class="t m0 xa3 h21 y70 ff2 fs6 fc0 sc0 ls0 ws0">8</div><div class="t m0 xa4 h20 y6f ff8 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x8d h19 y6e ff8 fs5 fc0 sc0 ls0 ws0">;</div><div class="t m0 x18 h15 y72 ff1 fs5 fc0 sc0 ls0 ws0">另<span class="_ _1"></span>一<span class="_ _1"></span>方<span class="_ _1f"> </span>面</div><div class="t m0 xa5 h17 y73 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 x61 h15 y72 ff1 fs5 fc0 sc0 lse ws0">用于非牛顿流体流动<span class="_ _1b"></span>性质的<span class="_ _1b"></span>研</div><div class="t m0 x37 h15 y74 ff1 fs5 fc0 sc0 ls0 ws0">究</div><div class="t m0 xa6 h19 y75 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xa7 h15 y76 ff1 fs5 fc0 sc0 ls7 ws0">成果涉及幂指流体和黏弹性流体在多孔介质</div><div class="t m0 xa8 h19 y75 ff8 fs5 fc0 sc0 ls0 ws0">、</div><div class="t m0 x37 h15 y77 ff1 fs5 fc0 sc0 lsa ws0">微<span class="_ _1e"></span>细<span class="_ _1d"></span>管道<span class="_ _1d"></span>等<span class="_ _1e"></span>复<span class="_ _1e"></span>杂结构中的单相流动</div><div class="t m0 xa9 h19 y78 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xaa h15 y77 ff1 fs5 fc0 sc0 ls0 ws0">以<span class="_ _11"></span>及<span class="_ _18"></span>气<span class="_ _18"></span>泡<span class="_ _11"></span>在</div><div class="t m0 x37 h15 y79 ff1 fs5 fc0 sc0 lsc ws0">非<span class="_ _1d"></span>牛<span class="_ _1d"></span>顿<span class="_ _1e"></span>流<span class="_ _1e"></span>体中的上升等两相流动问题</div><div class="t m0 xab h20 y7a ff8 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x17 h21 y7b ff2 fs6 fc0 sc0 ls0 ws0">9</div><div class="t m3 x85 h21 y7c ff2 fs6 fc0 sc0 ls0 ws0">-</div><div class="t m0 xac h21 y7b ff2 fs6 fc0 sc0 ls0 ws0">1<span class="_ _c"></span>2</div><div class="t m0 xad h20 y7a ff8 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 xae h19 y7d ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xaf h15 y79 ff1 fs5 fc0 sc0 ls0 ws0">因<span class="_ _18"></span>此</div><div class="t m0 x37 h15 y7e ff1 fs5 fc0 sc0 ls0 ws0">非<span class="_ _1"></span>牛<span class="_ _1"></span>顿<span class="_ _11"></span>流<span class="_ _18"></span>体<span class="_ _18"></span>单<span class="_ _18"></span>相<span class="_ _1f"> </span>流<span class="_ _18"></span>动<span class="_ _1f"> </span>的<span class="_ _1f"> </span>研<span class="_ _1f"></span>究<span class="_ _18"></span>具<span class="_ _1f"> </span>备<span class="_ _1f"></span>一<span class="_ _18"></span>定<span class="_ _1f"> </span>的<span class="_ _1f"></span>研<span class="_ _18"></span>究<span class="_ _1f"> </span>经</div><div class="t m0 x37 h15 y7f ff1 fs5 fc0 sc0 ls0 ws0">验</div><div class="t m0 xa6 h19 y80 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xa7 h15 y7f ff1 fs5 fc0 sc0 ls0 ws0">为</div><div class="t m0 xb0 h17 y81 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 x39 h15 y7f ff1 fs5 fc0 sc0 ls0 ws0">应<span class="_ _18"></span>用<span class="_ _18"></span>于<span class="_ _18"></span>非<span class="_ _18"></span>牛<span class="_ _18"></span>顿<span class="_ _18"></span>流<span class="_ _18"></span>体<span class="_ _18"></span>动<span class="_ _18"></span>态<span class="_ _11"></span>湿<span class="_ _18"></span>润<span class="_ _1f"> </span>特<span class="_ _18"></span>性<span class="_ _18"></span>的</div><div class="t m0 x37 h15 y82 ff1 fs5 fc0 sc0 ls7 ws0">模拟奠定了一定的基础</div><div class="t m0 x2a h19 y83 ff8 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x3f h15 y84 ff1 fs5 fc0 sc0 ls0 ws0">本<span class="_ _1"></span>文<span class="_ _11"></span>以<span class="_ _1f"> </span>牛<span class="_ _20"> </span>顿<span class="_ _1f"> </span>流<span class="_ _20"> </span>体<span class="_ _1f"> </span>动<span class="_ _20"> </span>态<span class="_ _20"> </span>湿<span class="_ _1f"> </span>润</div><div class="t m0 x2c h17 y85 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 x84 h15 y84 ff1 fs5 fc0 sc0 ls0 ws0">方<span class="_ _20"> </span>法<span class="_ _1f"> </span>为<span class="_ _20"> </span>基</div><div class="t m0 x37 h15 y86 ff1 fs5 fc0 sc0 ls0 ws0">础</div><div class="t m0 xa6 h19 y87 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xa7 h15 y86 ff1 fs5 fc0 sc0 ls7 ws0">在模型中引入流体的非牛顿性</div><div class="t m0 xb1 h19 y87 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xb2 h15 y86 ff1 fs5 fc0 sc0 ls0 ws0">建<span class="_ _1"></span>立<span class="_ _1"></span>非<span class="_ _11"></span>牛<span class="_ _1"></span>顿<span class="_ _1"></span>流</div><div class="t m0 x37 h15 y88 ff1 fs5 fc0 sc0 ls0 ws0">体<span class="_ _1"></span>两<span class="_ _1"></span>相<span class="_ _11"></span>流<span class="_ _1"></span>动<span class="_ _1"></span>模<span class="_ _11"></span>型</div><div class="t m0 xb3 h19 y89 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xb4 h15 y88 ff1 fs5 fc0 sc0 lsa ws0">并将该模型用于模拟牛顿流体</div><div class="t m0 x37 h15 y8a ff1 fs5 fc0 sc0 lsa ws0">和<span class="_ _1e"></span>幂<span class="_ _1d"></span>指流<span class="_ _1d"></span>体<span class="_ _1e"></span>在<span class="_ _1e"></span>固体表面上的液滴铺展过程</div><div class="t m0 xae h19 y8b ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xaf h15 y8a ff1 fs5 fc0 sc0 ls0 ws0">得<span class="_ _11"></span>到</div><div class="t m0 x37 h15 y8c ff1 fs5 fc0 sc0 ls0 ws0">了<span class="_ _1"></span>液<span class="_ _1"></span>滴<span class="_ _11"></span>铺<span class="_ _1"></span>展<span class="_ _1"></span>半<span class="_ _11"></span>径</div><div class="t m4 xb3 h23 y8d ffe fs7 fc0 sc0 ls0 ws0">R</div><div class="t m0 xb5 h15 y8c ff1 fs5 fc0 sc0 ls0 ws0">随<span class="_ _1"></span>时<span class="_ _1"></span>间</div><div class="t m4 xb6 h23 y8d ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x3b h15 y8c ff1 fs5 fc0 sc0 ls0 ws0">变<span class="_ _1"></span>化<span class="_ _1"></span>的<span class="_ _11"></span>动<span class="_ _1"></span>态<span class="_ _1"></span>湿<span class="_ _11"></span>润<span class="_ _1"></span>特<span class="_ _1"></span>性</div><div class="t m0 x37 h15 y8e ff1 fs5 fc0 sc0 ls0 ws0">和<span class="_ _1"></span>铺<span class="_ _1"></span>展<span class="_ _11"></span>指<span class="_ _1"></span>数</div><div class="t m4 xb7 h23 y8f ffe fs7 fc0 sc0 ls0 ws0">m</div><div class="t m0 xb8 h19 y90 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x41 h15 y8e ff1 fs5 fc0 sc0 lsa ws0">并将模拟结果与理论模型进行了</div><div class="t m0 x37 h15 y91 ff1 fs5 fc0 sc0 ls0 ws0">对<span class="_ _1"></span>比<span class="_ _1"></span>分<span class="_ _11"></span>析</div><div class="t m0 xb9 h19 y92 ff8 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x4d h1e y93 ff4 fs4 fc0 sc0 ls0 ws0">1</div><div class="t m0 xba h11 y94 ff5 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3f h1f y95 ff6 fs4 fc0 sc0 ls0 ws0">理</div><div class="t m0 xbb h11 y94 ff5 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x38 h1f y95 ff6 fs4 fc0 sc0 ls0 ws0">论</div><div class="t m0 x4d h24 y96 ff4 fs5 fc0 sc0 ls0 ws0">1<span class="_ _10"></span>.<span class="_ _a"></span>1</div><div class="t m0 xa7 h22 y97 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 xbc h15 y98 ff6 fs5 fc0 sc0 ls7 ws0">动态湿润理论基础</div><div class="t m0 x3f h15 y99 ff1 fs5 fc0 sc0 lsa ws0">动<span class="_ _1e"></span>态<span class="_ _1d"></span>湿润<span class="_ _1d"></span>过程可分为自发铺展和受迫湿<span class="_ _1b"></span>润</div><div class="t m0 xa8 h19 y9a ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x37 h15 y9b ff1 fs5 fc0 sc0 lsa ws0">液<span class="_ _1e"></span>滴<span class="_ _1d"></span>铺展<span class="_ _1d"></span>是<span class="_ _1e"></span>最<span class="_ _1e"></span>典型的自发铺展过程</div><div class="t m0 xa9 h19 y9c ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xaa h15 y9b ff1 fs5 fc0 sc0 ls0 ws0">铺<span class="_ _11"></span>展<span class="_ _18"></span>过<span class="_ _18"></span>程<span class="_ _11"></span>中</div><div class="t m0 x37 h15 y9d ff1 fs5 fc0 sc0 ls7 ws0">液滴与固体接触面的半径</div><div class="t m4 x44 h23 y9e ffe fs7 fc0 sc0 ls0 ws0">R</div><div class="t m0 x4e h15 y9f ff1 fs5 fc0 sc0 ls0 ws0">随<span class="_ _1"></span>时<span class="_ _1"></span>间</div><div class="t m4 x82 h23 y9e ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x2e h15 y9f ff1 fs5 fc0 sc0 ls0 ws0">的<span class="_ _1"></span>变<span class="_ _1"></span>化<span class="_ _11"></span>规<span class="_ _1"></span>律</div><div class="t m0 x37 h15 ya0 ff1 fs5 fc0 sc0 lsa ws0">是<span class="_ _1e"></span>动<span class="_ _1d"></span>态湿<span class="_ _1d"></span>润<span class="_ _1e"></span>的<span class="_ _1e"></span>重要物理关系之一</div><div class="t m0 xbd h19 ya1 ff8 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xbe h15 ya2 ff1 fs5 fc0 sc0 ls0 ws0">另<span class="_ _11"></span>一<span class="_ _18"></span>个<span class="_ _18"></span>重<span class="_ _11"></span>要<span class="_ _18"></span>规</div><div class="t m0 x37 h15 ya3 ff1 fs5 fc0 sc0 ls0 ws0">律<span class="_ _1"></span>是<span class="_ _1"></span>动<span class="_ _11"></span>态<span class="_ _1"></span>接<span class="_ _11"></span>触<span class="_ _11"></span>角</div><div class="t m4 xb3 h25 ya4 fff fs7 fc0 sc0 ls0 ws0">θ</div><div class="t m0 xbf h21 ya5 ff2 fs6 fc0 sc0 ls0 ws0">D</div><div class="t m0 xc0 h15 ya3 ff1 fs5 fc0 sc0 lsa ws0">与三相接触线移动速度</div><div class="t m4 xaf h23 ya6 ffe fs7 fc0 sc0 ls0 ws0">u</div><div class="t m0 xc1 h15 ya3 ff1 fs5 fc0 sc0 ls0 ws0">的</div></div></div><div class="pi" data-data='{"ctm":[1.611850,0.000000,0.000000,1.611850,0.000000,0.000000]}'></div></div>
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<div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/6264a87f4c65f41259ebd0e4/bg2.jpg"><div class="c x0 y1 w2 h2"><div class="t m0 x18 h15 ya7 ff1 fs5 fc0 sc0 ls0 ws0">变<span class="_ _1"></span>化<span class="_ _1"></span>关<span class="_ _11"></span>系</div><div class="t m0 x1a h19 ya8 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x66 h15 ya7 ff1 fs5 fc0 sc0 ls0 ws0">本<span class="_ _1"></span>文<span class="_ _1"></span>主<span class="_ _11"></span>要<span class="_ _1"></span>关<span class="_ _1"></span>注</div><div class="t m4 xc2 h23 ya9 ffe fs7 fc0 sc0 ls0 ws0">R</div><div class="t m5 xb h17 yaa ff2 fs5 fc0 sc0 ls0 ws0">-</div><div class="t m4 xb h23 ya9 ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 xc3 h15 ya7 ff1 fs5 fc0 sc0 ls0 ws0">特<span class="_ _1"></span>性</div><div class="t m0 xc4 h19 ya8 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x45 h15 yab ff1 fs5 fc0 sc0 ls0 ws0">对<span class="_ _1"></span>于</div><div class="t m4 xc5 h23 yac ffe fs7 fc0 sc0 ls0 ws0">R</div><div class="t m5 x46 h17 yad ff2 fs5 fc0 sc0 ls0 ws0">-</div><div class="t m4 x46 h23 yac ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x59 h15 yab ff1 fs5 fc0 sc0 ls0 ws0">湿<span class="_ _1"></span>润<span class="_ _11"></span>特<span class="_ _11"></span>性</div><div class="t m0 x6b h19 yae ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x78 h17 yac ff2 fs5 fc0 sc0 ls0 ws0">T<span class="_ _9"></span>a<span class="_ _8"></span>n<span class="_ _8"></span>n<span class="_ _8"></span>e<span class="_ _5"></span>r</div><div class="t m0 x9f h15 yab ff1 fs5 fc0 sc0 ls0 ws0">提<span class="_ _11"></span>出<span class="_ _11"></span>了<span class="_ _18"></span>牛<span class="_ _18"></span>顿<span class="_ _11"></span>流<span class="_ _18"></span>体</div><div class="t m0 x18 h15 yaf ff1 fs5 fc0 sc0 ls0 ws0">完<span class="_ _1"></span>全<span class="_ _1"></span>浸<span class="_ _11"></span>润<span class="_ _1"></span>固<span class="_ _1"></span>体<span class="_ _11"></span>表<span class="_ _1"></span>面<span class="_ _1"></span>过<span class="_ _1"></span>程</div><div class="t m0 x1f h19 yb0 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 xc2 h15 yaf ff1 fs5 fc0 sc0 ls7 ws0">即静态接触角为零</div><div class="t m0 xc6 h19 yb0 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x9d h15 yaf ff1 fs5 fc0 sc0 ls0 ws0">的<span class="_ _1"></span>理</div><div class="t m0 x18 h15 yb1 ff1 fs5 fc0 sc0 ls0 ws0">论<span class="_ _1"></span>模<span class="_ _1"></span>型</div><div class="t m0 x8 h19 yb2 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x19 h15 yb1 ff1 fs5 fc0 sc0 ls0 ws0">称<span class="_ _1"></span>为</div><div class="t m0 xc7 h17 yb3 ff2 fs5 fc0 sc0 ls0 ws0">T<span class="_ _9"></span>a<span class="_ _8"></span>n<span class="_ _8"></span>n<span class="_ _8"></span>e<span class="_ _5"></span>r</div><div class="t m0 x6a h15 yb1 ff1 fs5 fc0 sc0 ls0 ws0">铺<span class="_ _1"></span>展<span class="_ _1"></span>定<span class="_ _11"></span>律</div><div class="t m0 x63 h20 yb4 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x9e h21 yb5 ff2 fs6 fc0 sc0 ls0 ws0">1<span class="_ _c"></span>3</div><div class="t m0 xc8 h20 yb4 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 xc4 h19 yb2 ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 xc9 h23 yb6 ffe fs7 fc0 sc0 ls0 ws0">R</div><div class="t m0 xca h26 yb7 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 x9a h23 yb6 ffe fs7 fc0 sc0 ls0 ws0">a<span class="_ _7"></span>t</div><div class="t m0 x79 h22 yb8 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m6 xcb h27 yb9 ffe fs8 fc0 sc0 ls0 ws0">m</div><div class="t m0 x51 h19 yba ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 xcc h17 yb6 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x8d h19 yba ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x18 h15 ybb ff1 fs5 fc0 sc0 ls0 ws0">式<span class="_ _1"></span>中</div><div class="t m0 x45 h19 ybc ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x7 h23 ybd ffe fs7 fc0 sc0 ls0 ws0">a</div><div class="t m0 x88 h15 ybb ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _11"></span>拟<span class="_ _18"></span>合<span class="_ _18"></span>参<span class="_ _11"></span>数</div><div class="t m0 xc9 h19 ybc ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x57 h23 ybd ffe fs7 fc0 sc0 ls0 ws0">m</div><div class="t m0 x99 h15 ybb ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _11"></span>铺<span class="_ _18"></span>展<span class="_ _18"></span>指<span class="_ _11"></span>数</div><div class="t m0 xa h19 ybc ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 xcd h15 ybb ff1 fs5 fc0 sc0 ls0 ws0">当<span class="_ _18"></span>液<span class="_ _18"></span>滴<span class="_ _18"></span>较<span class="_ _18"></span>小</div><div class="t m0 x18 h15 ybe ff1 fs5 fc0 sc0 ls0 ws0">属<span class="_ _1"></span>于<span class="_ _1"></span>毛<span class="_ _11"></span>细<span class="_ _1"></span>区<span class="_ _18"></span>铺<span class="_ _11"></span>展<span class="_ _11"></span>时</div><div class="t m0 x1e h19 ybf ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x69 h15 yc0 ff1 fs5 fc0 sc0 ls0 ws0">三<span class="_ _11"></span>维<span class="_ _11"></span>液<span class="_ _18"></span>滴<span class="_ _11"></span>的</div><div class="t m4 xc8 h23 yc1 ffe fs7 fc0 sc0 ls0 ws0">m</div><div class="t m0 x6c h26 yc2 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x6e h17 yc1 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 xe h19 ybf ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m0 xce h17 yc1 ff2 fs5 fc0 sc0 ls0 ws0">1<span class="_ _8"></span>0</div><div class="t m0 x9c h19 ybf ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x9d h15 yc0 ff1 fs5 fc0 sc0 ls0 ws0">二<span class="_ _11"></span>维</div><div class="t m0 x18 h15 yc3 ff1 fs5 fc0 sc0 ls0 ws0">液<span class="_ _1"></span>滴<span class="_ _1"></span>的</div><div class="t m4 xcf h23 yc4 ffe fs7 fc0 sc0 ls0 ws0">m</div><div class="t m0 xa5 h26 yc5 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 xd0 h17 yc4 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x1b h19 yc6 ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m0 xd1 h17 yc4 ff2 fs5 fc0 sc0 ls0 ws0">7</div><div class="t m0 x61 h19 yc6 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xd2 h15 yc3 ff1 fs5 fc0 sc0 ls9 ws0">有诸多实验研<span class="lsa">究结果证明了该</span></div><div class="t m0 x18 h15 yc7 ff1 fs5 fc0 sc0 ls0 ws0">理<span class="_ _1"></span>论<span class="_ _1"></span>数<span class="_ _18"></span>值<span class="_ _11"></span>的<span class="_ _18"></span>可<span class="_ _11"></span>靠<span class="_ _18"></span>性</div><div class="t m0 xd3 h20 yc8 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 xd4 h21 yc9 ff2 fs6 fc0 sc0 ls0 ws0">1</div><div class="t m0 x69 h20 yc8 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x6a h19 yca ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 xd5 h15 yc7 ff1 fs5 fc0 sc0 ls0 ws0">对<span class="_ _11"></span>于<span class="_ _18"></span>非<span class="_ _18"></span>牛<span class="_ _11"></span>顿<span class="_ _18"></span>流<span class="_ _18"></span>体</div><div class="t m4 xd6 h23 ycb ffe fs7 fc0 sc0 ls0 ws0">R</div><div class="t m5 xd7 h17 ycc ff2 fs5 fc0 sc0 ls0 ws0">-</div><div class="t m4 xd7 h23 ycb ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x9d h15 yc7 ff1 fs5 fc0 sc0 ls0 ws0">的<span class="_ _18"></span>研</div><div class="t m0 x18 h15 ycd ff1 fs5 fc0 sc0 ls0 ws0">究<span class="_ _1"></span>较<span class="_ _1"></span>少</div><div class="t m0 x8 h19 yce ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x19 h15 ycf ff1 fs5 fc0 sc0 ls0 ws0">仅</div><div class="t m0 x66 h17 yd0 ff2 fs5 fc0 sc0 ls0 ws0">S<span class="_ _b"></span>t<span class="_ _4"></span>a<span class="_ _5"></span>r<span class="_ _b"></span>o<span class="_ _8"></span>v</div><div class="t m0 x75 h20 yd1 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x68 h21 yd2 ff2 fs6 fc0 sc0 ls0 ws0">1<span class="_ _c"></span>4</div><div class="t m0 xd4 h20 yd1 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 xd8 h15 ycf ff1 fs5 fc0 sc0 ls7 ws0">提出了幂指流体液滴铺展的</div><div class="t m4 x97 h23 yd3 ffe fs7 fc0 sc0 ls0 ws0">R</div><div class="t m5 xd9 h17 yd4 ff2 fs5 fc0 sc0 ls0 ws0">-</div><div class="t m4 xd9 h23 yd3 ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 xda h15 yd5 ff1 fs5 fc0 sc0 ls0 ws0">理<span class="_ _1"></span>论<span class="_ _1"></span>模<span class="_ _11"></span>型</div><div class="t m0 xc7 h19 yd6 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xdb h15 yd5 ff1 fs5 fc0 sc0 ls0 ws0">其<span class="_ _1"></span>中<span class="_ _1"></span>幂<span class="_ _11"></span>指<span class="_ _1"></span>流<span class="_ _1"></span>体<span class="_ _11"></span>的<span class="_ _1"></span>黏<span class="_ _1"></span>度</div><div class="t m4 x6c h25 yd7 fff fs7 fc0 sc0 ls0 ws0">μ</div><div class="t m0 x6e h15 yd5 ff1 fs5 fc0 sc0 ls0 ws0">满<span class="_ _1"></span>足</div><div class="t m4 xdc h25 yd8 fff fs7 fc0 sc0 ls0 ws0">μ</div><div class="t m0 xdd h26 yd9 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 x77 h23 yda ffe fs7 fc0 sc0 ls0 ws0">K</div><div class="t m0 xc2 h19 ydb ff10 fs5 fc0 sc0 ls0 ws0">·</div><div class="t m4 x21 h25 ydc fff fs7 fc0 sc0 ls0 ws0">γ</div><div class="t m0 xde h28 ydd ff5 fs6 fc0 sc0 ls0 ws0"> </div><div class="t m0 xde h20 yde ff10 fs6 fc0 sc0 ls0 ws0">·</div><div class="t m6 xdf h27 ydf ffe fs8 fc0 sc0 ls0 ws0">n</div><div class="t m0 xe0 h29 ye0 ffe fs6 fc0 sc0 ls0 ws0">-</div><div class="t m0 xe1 h21 ydf ff2 fs6 fc0 sc0 ls0 ws0">1</div><div class="t m0 x51 h19 ye1 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 xcc h17 yda ff2 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m0 x8d h19 ye1 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x18 h15 ye2 ff1 fs5 fc0 sc0 ls0 ws0">式<span class="_ _1"></span>中</div><div class="t m0 x45 h19 ye3 ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 xe2 h23 ye4 ffe fs7 fc0 sc0 ls0 ws0">K</div><div class="t m0 xe3 h15 ye2 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>稠<span class="_ _1"></span>度<span class="_ _11"></span>系<span class="_ _1"></span>数</div><div class="t m0 xc9 h19 ye3 ff10 fs5 fc0 sc0 ls0 ws0">;</div><div class="t m4 x69 h23 ye4 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 xd5 h15 ye2 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>流<span class="_ _1"></span>变<span class="_ _11"></span>指<span class="_ _1"></span>数</div><div class="t m0 xa0 h19 ye3 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 xe4 h23 ye4 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 x6d h15 ye2 ff1 fs5 fc0 sc0 ls0 ws0">反<span class="_ _1"></span>应<span class="_ _1"></span>幂<span class="_ _11"></span>指<span class="_ _1"></span>流</div><div class="t m0 x18 h15 ye5 ff1 fs5 fc0 sc0 ls7 ws0">体<span class="_ _1b"></span>非牛顿性的强弱</div><div class="t m0 x1e h19 ye6 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xc9 h15 ye5 ff1 fs5 fc0 sc0 ls0 ws0">当</div><div class="t m4 x3c h23 ye7 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 xe5 h26 y30 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 xb h17 ye7 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x94 h15 ye5 ff1 fs5 fc0 sc0 ls0 ws0">时</div><div class="t m0 x23 h19 ye6 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x9f h15 ye5 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>牛<span class="_ _1"></span>顿<span class="_ _11"></span>流<span class="_ _1"></span>体</div><div class="t m0 x64 h19 ye6 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xe6 h15 ye5 ff1 fs5 fc0 sc0 ls0 ws0">当</div><div class="t m4 x49 h23 ye7 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 x18 h22 ye8 ff5 fs5 fc0 sc0 ls0 ws0">></div><div class="t m0 x2 h17 ye9 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x45 h15 yea ff1 fs5 fc0 sc0 ls0 ws0">时</div><div class="t m0 x8 h19 yeb ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x19 h15 yea ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>剪<span class="_ _1"></span>切<span class="_ _11"></span>增<span class="_ _1"></span>稠<span class="_ _1"></span>幂<span class="_ _11"></span>指<span class="_ _1"></span>流<span class="_ _1"></span>体</div><div class="t m0 xe0 h19 yeb ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xe7 h15 yea ff1 fs5 fc0 sc0 ls0 ws0">当</div><div class="t m4 xc8 h23 ye9 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 xe4 h22 ye8 ff5 fs5 fc0 sc0 ls0 ws0"><</div><div class="t m0 x6d h17 ye9 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x7b h15 yea ff1 fs5 fc0 sc0 ls0 ws0">时<span class="_ _1"></span>为<span class="_ _1"></span>剪<span class="_ _11"></span>切</div><div class="t m0 x18 h15 yec ff1 fs5 fc0 sc0 ls0 ws0">稀<span class="_ _1"></span>化<span class="_ _11"></span>幂<span class="_ _1"></span>指<span class="_ _1"></span>流<span class="_ _11"></span>体</div><div class="t m0 xe8 h19 yed ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m4 xd1 h23 yee ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4b h15 yef ff1 fs5 fc0 sc0 ls0 ws0">越<span class="_ _1"></span>远<span class="_ _1"></span>离</div><div class="t m0 x99 h17 yee ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x3d h15 yef ff1 fs5 fc0 sc0 ls7 ws0">说明流体的非牛顿性越</div><div class="t m0 x18 h15 yf0 ff1 fs5 fc0 sc0 ls0 ws0">强</div><div class="t m0 x2 h19 yf1 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 xe9 h17 yf2 ff2 fs5 fc0 sc0 ls0 ws0">S<span class="_ _b"></span>t<span class="_ _4"></span>a<span class="_ _5"></span>r<span class="_ _b"></span>o<span class="_ _8"></span>v</div><div class="t m0 x66 h15 yf3 ff1 fs5 fc0 sc0 ls0 ws0">认<span class="_ _1"></span>为<span class="_ _1"></span>幂<span class="_ _11"></span>指<span class="_ _11"></span>流<span class="_ _18"></span>体<span class="_ _18"></span>完<span class="_ _11"></span>全<span class="_ _18"></span>浸<span class="_ _18"></span>润<span class="_ _11"></span>过<span class="_ _18"></span>程<span class="_ _18"></span>的<span class="_ _18"></span>铺<span class="_ _18"></span>展<span class="_ _18"></span>规</div><div class="t m0 x18 h15 yf4 ff1 fs5 fc0 sc0 ls0 ws0">律<span class="_ _1"></span>与<span class="_ _1"></span>牛<span class="_ _11"></span>顿<span class="_ _1"></span>流<span class="_ _1"></span>体<span class="_ _11"></span>类<span class="_ _11"></span>似</div><div class="t m0 x1e h19 yf5 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xea h15 yf4 ff1 fs5 fc0 sc0 ls0 ws0">仍<span class="_ _11"></span>满<span class="_ _18"></span>足</div><div class="t m0 x30 h17 yf6 ff2 fs5 fc0 sc0 ls0 ws0">T<span class="_ _9"></span>a<span class="_ _8"></span>n<span class="_ _8"></span>n<span class="_ _8"></span>e<span class="_ _5"></span>r</div><div class="t m0 xeb h15 yf4 ff1 fs5 fc0 sc0 ls0 ws0">定<span class="_ _11"></span>律</div><div class="t m0 x7c h19 yf5 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x72 h15 yf4 ff1 fs5 fc0 sc0 ls0 ws0">但<span class="_ _11"></span>幂<span class="_ _18"></span>指</div><div class="t m0 x18 h15 yf7 ff1 fs5 fc0 sc0 ls0 ws0">流<span class="_ _1"></span>体<span class="_ _1"></span>的<span class="_ _11"></span>铺<span class="_ _18"></span>展<span class="_ _11"></span>指<span class="_ _18"></span>数</div><div class="t m4 xec h23 yf8 ffe fs7 fc0 sc0 ls0 ws0">m</div><div class="t m0 xd3 h19 yf9 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xdd h23 yf8 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 xed h19 yf9 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x1f h15 yfa ff1 fs5 fc0 sc0 ls0 ws0">不<span class="_ _18"></span>是<span class="_ _18"></span>常<span class="_ _18"></span>数</div><div class="t m0 x24 h19 yf9 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xa0 h15 yfa ff1 fs5 fc0 sc0 ls0 ws0">而<span class="_ _18"></span>是<span class="_ _18"></span>与<span class="_ _18"></span>流<span class="_ _18"></span>变<span class="_ _18"></span>指</div><div class="t m0 x18 h15 yfb ff1 fs5 fc0 sc0 ls0 ws0">数</div><div class="t m4 xee h23 yfc ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 x93 h15 yfb ff1 fs5 fc0 sc0 ls0 ws0">之<span class="_ _1"></span>间<span class="_ _1"></span>满<span class="_ _11"></span>足<span class="_ _1"></span>式</div><div class="t m0 x67 h19 yfd ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 xef h17 yfc ff2 fs5 fc0 sc0 ls0 ws0">3</div><div class="t m0 x1d h19 yfd ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 xdd h15 yfb ff1 fs5 fc0 sc0 ls0 ws0">关<span class="_ _1"></span>系</div><div class="t m0 xe5 h19 yfd ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xf0 h17 yfc ff2 fs5 fc0 sc0 ls0 ws0">W<span class="_ _c"></span>a<span class="_ _8"></span>n</div><div class="t m0 x8b h17 yfe ff2 fs5 fc0 sc0 ls0 ws0">g</div><div class="t m0 x32 h15 yfb ff1 fs5 fc0 sc0 ls0 ws0">等</div><div class="t m0 xf1 h20 yff ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 xf2 h21 y100 ff2 fs6 fc0 sc0 ls0 ws0">1<span class="_ _c"></span>5</div><div class="t m0 x50 h20 yff ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x6d h15 yfb ff1 fs5 fc0 sc0 ls0 ws0">的<span class="_ _1"></span>实<span class="_ _1"></span>验<span class="_ _11"></span>结<span class="_ _1"></span>果</div><div class="t m0 x18 h15 y101 ff1 fs5 fc0 sc0 ls0 ws0">证<span class="_ _1"></span>明<span class="_ _1"></span>了<span class="_ _11"></span>该<span class="_ _1"></span>理<span class="_ _1"></span>论<span class="_ _11"></span>的<span class="_ _1"></span>可<span class="_ _1"></span>靠<span class="_ _1"></span>性</div><div class="t m0 x1f h19 y102 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x45 h15 y103 ff1 fs5 fc0 sc0 ls0 ws0">三<span class="_ _1"></span>维<span class="_ _1"></span>液<span class="_ _11"></span>滴</div><div class="t m0 x1c h19 y104 ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m0 x8e h22 y105 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m4 xdc h23 y106 ffe fs7 fc0 sc0 ls0 ws0">m</div><div class="t m0 x2f h19 y104 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xdd h23 y106 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 x76 h19 y104 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 xf3 h26 y107 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 x8a h23 y108 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 x3d h17 y109 ff2 fs5 fc0 sc0 ls0 ws0">3</div><div class="t m4 xde h23 y109 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 xe0 h26 y10a ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m0 x23 h17 y109 ff2 fs5 fc0 sc0 ls0 ws0">7</div><div class="t m0 x45 h15 y10b ff1 fs5 fc0 sc0 ls0 ws0">二<span class="_ _1"></span>维<span class="_ _1"></span>液<span class="_ _11"></span>滴</div><div class="t m0 x1c h19 y10c ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m0 x8e h22 y10d ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m4 xdc h23 y10e ffe fs7 fc0 sc0 ls0 ws0">m</div><div class="t m0 x2f h19 y10c ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xdd h23 y10e ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 x76 h19 y10c ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 xf3 h26 y10f ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 x8a h23 y110 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 x3d h17 y111 ff2 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m4 xde h23 y111 ffe fs7 fc0 sc0 ls0 ws0">n</div><div class="t m0 xe0 h26 y112 ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m0 x23 h17 y111 ff2 fs5 fc0 sc0 ls0 ws0">5</div><div class="t m0 x51 h19 y10c ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 xcc h17 y10e ff2 fs5 fc0 sc0 ls0 ws0">3</div><div class="t m0 x8d h19 y10c ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 xf4 h24 y113 ff4 fs5 fc0 sc0 ls0 ws0">1<span class="_ _10"></span>.<span class="_ _a"></span>2</div><div class="t m0 x65 h22 y114 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 xe2 h24 y113 ff4 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _10"></span>M</div><div class="t m0 x46 h15 y115 ff6 fs5 fc0 sc0 ls0 ws0">理<span class="_ _1"></span>论<span class="_ _1"></span>基<span class="_ _11"></span>础</div><div class="t m0 x45 h15 y116 ff1 fs5 fc0 sc0 ls0 ws0">满<span class="_ _1"></span>足</div><div class="t m0 xc5 h17 y117 ff2 fs5 fc0 sc0 ls0 ws0">B<span class="_ _e"></span>G<span class="_ _d"></span>K</div><div class="t m0 xf5 h20 y118 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x8e h21 y119 ff2 fs6 fc0 sc0 ls0 ws0">1<span class="_ _c"></span>6</div><div class="t m0 x4b h20 y118 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x68 h15 y116 ff1 fs5 fc0 sc0 ls0 ws0">近<span class="_ _1"></span>似<span class="_ _1"></span>的</div><div class="t m0 x9a h17 y117 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 x23 h15 y116 ff1 fs5 fc0 sc0 ls0 ws0">方<span class="_ _1"></span>程<span class="_ _1"></span>为</div><div class="t m4 xf6 h23 y11a ffe fs7 fc0 sc0 ls0 ws0">f</div><div class="t m6 xe2 h27 y11b ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 xf7 h19 y11c ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xcf h2a y11d ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xc5 h26 y58 ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m4 x46 h2a y11d ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 xf8 h27 y11b ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x1b h2b y11e ffd fs5 fc0 sc0 ls0 ws0">Δ</div><div class="t m4 xf9 h23 y11d ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 xfa h19 y11c ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x61 h23 y11d ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x1d h26 y58 ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m0 x57 h2b y11e ffd fs5 fc0 sc0 ls0 ws0">Δ</div><div class="t m4 x76 h23 y11d ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x1f h19 y11c ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x48 h26 y58 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 xf6 h23 y11f ffe fs7 fc0 sc0 ls0 ws0">f</div><div class="t m6 xe2 h27 y120 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 xf7 h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xcf h2a y122 ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 xc5 h23 y122 ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 xfb h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 xf8 h26 y123 ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m0 x8e h2b y124 ffd fs5 fc0 sc0 ls0 ws0">Δ</div><div class="t m4 xfa h23 y125 ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m4 xf9 h25 y126 fff fs7 fc0 sc0 ls0 ws0">τ</div><div class="t m0 xfa h21 y127 ff2 fs6 fc0 sc0 ls0 ws0">v</div><div class="t m0 xd2 h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">[</div><div class="t m4 x1d h23 y11f ffe fs7 fc0 sc0 ls0 ws0">f</div><div class="t m6 xdd h27 y120 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 xfc h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xed h2a y122 ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1f h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x99 h23 y122 ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 xfd h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x79 h26 y123 ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m4 xc3 h23 y11f ffe fs7 fc0 sc0 ls0 ws0">f</div><div class="t m0 xe7 h21 y128 ff2 fs6 fc0 sc0 ls0 ws0">e</div><div class="t m0 x23 h21 y129 ff2 fs6 fc0 sc0 ls0 ws0">q</div><div class="t m6 x31 h27 y120 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x9f h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xfe h2a y122 ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xa0 h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 xe4 h23 y122 ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x34 h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">)<span class="_ _8"></span>]<span class="_ _21"> </span>(</div><div class="t m0 xcc h17 y122 ff2 fs5 fc0 sc0 ls0 ws0">4</div><div class="t m0 x8d h19 y121 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x18 h15 y12a ff1 fs5 fc0 sc0 ls0 ws0">式<span class="_ _1"></span>中</div><div class="t m0 x45 h19 y12b ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x7 h23 y12c ffe fs7 fc0 sc0 ls0 ws0">f</div><div class="t m6 xf7 h27 y12d ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x88 h19 y12b ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x4 h23 y12e ffe fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xff h19 y12b ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x66 h23 y12e ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 xd0 h19 y12b ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 xe8 h15 y12a ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>空<span class="_ _1"></span>间<span class="_ _11"></span>中</div><div class="t m4 xf3 h23 y12e ffe fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x21 h15 y12a ff1 fs5 fc0 sc0 ls0 ws0">点<span class="_ _1"></span>在</div><div class="t m4 x31 h23 y12e ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 xc8 h15 y12a ff1 fs5 fc0 sc0 ls0 ws0">时<span class="_ _1"></span>刻<span class="_ _1"></span>的<span class="_ _11"></span>密<span class="_ _1"></span>度<span class="_ _1"></span>分<span class="_ _11"></span>布</div><div class="t m0 x18 h15 y12f ff1 fs5 fc0 sc0 ls0 ws0">函<span class="_ _1"></span>数</div><div class="t m0 x45 h19 y130 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x90 h15 y12f ff1 fs5 fc0 sc0 ls0 ws0">格<span class="_ _1"></span>子<span class="_ _1"></span>的<span class="_ _11"></span>长<span class="_ _1"></span>度</div><div class="t m0 xd2 h2b y131 ffd fs5 fc0 sc0 ls0 ws0">Δ</div><div class="t m4 xd3 h23 y132 ffe fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xed h15 y12f ff1 fs5 fc0 sc0 ls0 ws0">定<span class="_ _1"></span>义<span class="_ _1"></span>为</div><div class="t m0 x8a h17 y132 ff2 fs5 fc0 sc0 ls0 ws0">1<span class="_ _10"></span>l<span class="_ _5"></span>u</div><div class="t m0 xfe h19 y130 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xf1 h15 y12f ff1 fs5 fc0 sc0 ls0 ws0">离<span class="_ _1"></span>散<span class="_ _1"></span>时<span class="_ _11"></span>间</div><div class="t m0 x100 h2b y131 ffd fs5 fc0 sc0 ls0 ws0">Δ</div><div class="t m4 xa1 h23 y132 ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x101 h15 y12f ff1 fs5 fc0 sc0 ls0 ws0">定</div><div class="t m0 x18 h15 y133 ff1 fs5 fc0 sc0 ls0 ws0">义<span class="_ _1"></span>为</div><div class="t m0 x45 h17 y134 ff2 fs5 fc0 sc0 ls0 ws0">1<span class="_ _d"></span>t<span class="_ _5"></span>s</div><div class="t m0 x102 h19 y135 ff10 fs5 fc0 sc0 ls0 ws0">;</div><div class="t m4 xc5 h2a y134 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 x66 h27 y136 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 xf8 h15 y133 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>粒<span class="_ _1"></span>子<span class="_ _11"></span>离<span class="_ _11"></span>散<span class="_ _11"></span>速<span class="_ _11"></span>度<span class="_ _18"></span>在</div><div class="t m4 x9e h23 y134 ffe fs7 fc0 sc0 ls0 ws0">i</div><div class="t m0 xc4 h15 y133 ff1 fs5 fc0 sc0 ls0 ws0">方<span class="_ _11"></span>向<span class="_ _11"></span>上<span class="_ _18"></span>的<span class="_ _11"></span>分<span class="_ _11"></span>量</div><div class="t m0 x8d h19 y135 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x18 h15 y137 ff1 fs5 fc0 sc0 ls0 ws0">是</div><div class="t m0 x103 h17 y138 ff2 fs5 fc0 sc0 ls0 ws0">B<span class="_ _e"></span>G<span class="_ _d"></span>K</div><div class="t m0 x4 h15 y137 ff1 fs5 fc0 sc0 ls0 ws0">碰<span class="_ _1"></span>撞<span class="_ _1"></span>项</div><div class="t m0 x47 h19 y139 ff10 fs5 fc0 sc0 ls0 ws0">;</div><div class="t m4 x67 h25 y13a fff fs7 fc0 sc0 ls0 ws0">τ</div><div class="t m0 xdc h21 y13b ff2 fs6 fc0 sc0 ls0 ws0">v</div><div class="t m0 xd3 h15 y137 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>松<span class="_ _1"></span>弛<span class="_ _11"></span>时<span class="_ _1"></span>间</div><div class="t m0 x22 h19 y139 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x45 h15 y13c ff1 fs5 fc0 sc0 ls0 ws0">演<span class="_ _1"></span>化<span class="_ _1"></span>方<span class="_ _18"></span>程<span class="_ _1f"> </span>中</div><div class="t m4 xef h2a y13d ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 x68 h27 y13e ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 xdd h15 y13c ff1 fs5 fc0 sc0 ls0 ws0">由<span class="_ _18"></span>速<span class="_ _1f"> </span>度<span class="_ _1f"> </span>离<span class="_ _1f"> </span>散<span class="_ _1f"> </span>模<span class="_ _1f"> </span>型<span class="_ _1f"> </span>确<span class="_ _1f"> </span>定</div><div class="t m0 x92 h19 y13f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x9c h17 y13d ff2 fs5 fc0 sc0 ls0 ws0">D<span class="_ _f"></span>2<span class="_ _e"></span>Q<span class="_ _0"></span>9</div><div class="t m0 x18 h15 y140 ff1 fs5 fc0 sc0 ls0 ws0">离<span class="_ _1"></span>散<span class="_ _1"></span>速<span class="_ _11"></span>度<span class="_ _1"></span>为</div><div class="t m0 x18 h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">[</div><div class="t m4 x104 h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 x105 h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">0</div><div class="t m0 xe9 h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x65 h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 x3 h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">1</div><div class="t m0 x98 h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 xf7 h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 x19 h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1a h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x9 h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 xfb h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">3</div><div class="t m0 xd0 h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x8c h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 xdb h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">4</div><div class="t m0 x47 h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x67 h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 xdc h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">5</div><div class="t m0 x5a h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x1e h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 x69 h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">6</div><div class="t m0 x76 h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x3c h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 xf3 h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">7</div><div class="t m0 xc2 h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x48 h2a y142 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m0 xb h21 y143 ff2 fs6 fc0 sc0 ls0 ws0">8</div><div class="t m0 x106 h19 y141 ff10 fs5 fc0 sc0 ls0 ws0">]</div><div class="t m0 x8b h26 y144 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 x86 h2a y145 ff11 fs7 fc0 sc0 ls0 ws0">c</div><div class="t m0 x105 h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">0</div><div class="t m0 xe9 h22 y147 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x7 h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x107 h22 y147 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x4f h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">0</div><div class="t m0 xf8 h26 y148 ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m0 xd1 h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x67 h22 y147 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x2f h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">0</div><div class="t m0 x69 h22 y147 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x108 h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x106 h26 y148 ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m0 x8b h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 xc4 h26 y148 ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m0 xa h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 xcd h22 y147 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x96 h17 y146 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x105 h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">0</div><div class="t m0 xe9 h22 y14a ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x7 h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">0</div><div class="t m0 x107 h22 y14a ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x4f h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 xa5 h22 y14a ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x1b h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">0</div><div class="t m0 x1d h26 y14b ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m0 x69 h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x76 h22 y14a ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x108 h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x48 h22 y14a ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 x94 h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 xc4 h26 y14b ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m0 xa h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x95 h26 y14b ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m7 x109 h2c y14c ff10 fs9 fc0 sc0 ls0 ws0">[<span class="_ _22"> </span>]</div><div class="t m0 x71 h17 y149 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x51 h19 y14d ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 xcc h17 y145 ff2 fs5 fc0 sc0 ls0 ws0">5</div><div class="t m0 x8d h19 y14d ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x45 h15 y14e ff1 fs5 fc0 sc0 ls0 ws0">在</div><div class="t m0 xcf h17 y14f ff2 fs5 fc0 sc0 ls0 ws0">D<span class="_ _f"></span>2<span class="_ _e"></span>Q<span class="_ _0"></span>9</div><div class="t m0 x1c h15 y14e ff1 fs5 fc0 sc0 ls7 ws0">模型中平衡态密度分布函数应用<span class="_ _1b"></span>了</div><div class="t m0 x18 h17 y150 ff2 fs5 fc0 sc0 ls0 ws0">M<span class="_ _c"></span>a<span class="_ _b"></span>x<span class="_ _e"></span>w<span class="_ _9"></span>e<span class="_ _4"></span>l<span class="_ _6"></span>l</div><div class="t m0 x1a h15 y151 ff1 fs5 fc0 sc0 ls0 ws0">分<span class="_ _1"></span>布<span class="_ _1"></span>的<span class="_ _11"></span>展<span class="_ _1"></span>开<span class="_ _1"></span>形<span class="_ _11"></span>式</div><div class="t m0 xf0 h19 y152 ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x10a h23 y153 ffe fs7 fc0 sc0 ls0 ws0">f</div><div class="t m0 xa6 h21 y154 ff2 fs6 fc0 sc0 ls0 ws0">e</div><div class="t m0 x3e h21 y155 ff2 fs6 fc0 sc0 ls0 ws0">q</div><div class="t m6 x10b h27 y156 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x12 h19 y157 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x3f h2a y158 ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x10c h19 y157 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x10d h23 y158 ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x10e h19 y157 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x25 h26 y159 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 x39 h23 y158 ffe fs7 fc0 sc0 ls0 ws0">w</div><div class="t m6 x27 h27 y156 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m4 x2d h25 y15a fff fs7 fc0 sc0 ls0 ws0">ρ</div><div class="t m0 x3a h17 y15b ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x10f h26 y15c ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m4 x28 h2a ya9 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 x110 h27 y15d ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x111 h19 y15e ff10 fs5 fc0 sc0 ls0 ws0">·</div><div class="t m4 x112 h2a ya9 ff11 fs7 fc0 sc0 ls0 ws0">u</div><div class="t m4 x113 h23 y15f ffe fs7 fc0 sc0 ls0 ws0">c</div><div class="t m0 x114 h21 y160 ff2 fs6 fc0 sc0 ls0 ws0">2</div><div class="t m0 x114 h21 y161 ff2 fs6 fc0 sc0 ls0 ws0">s</div><div class="t m0 x115 h26 y15c ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m0 x116 h19 ya8 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x117 h2a ya9 ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 x118 h27 y15d ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x53 h19 y15e ff10 fs5 fc0 sc0 ls0 ws0">·</div><div class="t m4 x82 h2a ya9 ff11 fs7 fc0 sc0 ls0 ws0">u</div><div class="t m0 x119 h19 ya8 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x11a h21 y162 ff2 fs6 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11b h17 y15f ff2 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m4 xbd h23 y15f ffe fs7 fc0 sc0 ls0 ws0">c</div><div class="t m0 x82 h21 y160 ff2 fs6 fc0 sc0 ls0 ws0">4</div><div class="t m0 x82 h21 y161 ff2 fs6 fc0 sc0 ls0 ws0">s</div><div class="t m0 x17 h26 y15c ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m0 xad h19 y15e ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x11c h2a y163 ff11 fs7 fc0 sc0 ls0 ws0">u</div><div class="t m0 xaf h19 y15e ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x11d h21 y164 ff2 fs6 fc0 sc0 ls0 ws0">2</div><div class="t m0 xad h17 y15f ff2 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m4 xae h23 y15f ffe fs7 fc0 sc0 ls0 ws0">c</div><div class="t m8 x11e h2d y165 ff10 fs3 fc0 sc0 ls0 ws0">[<span class="_ _23"> </span>]</div><div class="t m0 x11f h21 y160 ff2 fs6 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11f h21 y161 ff2 fs6 fc0 sc0 ls0 ws0">s</div><div class="t m0 x120 h19 y166 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 x121 h17 y167 ff2 fs5 fc0 sc0 ls0 ws0">6</div><div class="t m0 xa8 h19 y166 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x37 h15 y168 ff1 fs5 fc0 sc0 ls0 ws0">式<span class="_ _11"></span>中</div><div class="t m0 x3f h19 y169 ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x122 h23 y16a ffe fs7 fc0 sc0 ls0 ws0">u</div><div class="t m0 x123 h15 y168 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>速<span class="_ _1"></span>度</div><div class="t m0 x124 h19 y169 ff10 fs5 fc0 sc0 ls0 ws0">;</div><div class="t m4 x125 h23 y16a ffe fs7 fc0 sc0 ls0 ws0">c</div><div class="t m0 xb3 h21 y16b ff2 fs6 fc0 sc0 ls0 ws0">s</div><div class="t m0 x126 h15 y168 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>格<span class="_ _1"></span>子<span class="_ _11"></span>声<span class="_ _1"></span>速</div><div class="t m0 x127 h19 y169 ff10 fs5 fc0 sc0 ls0 ws0">;</div><div class="t m4 x128 h23 y16a ffe fs7 fc0 sc0 ls0 ws0">w</div><div class="t m6 x2b h27 y16b ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 xb1 h15 y168 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1"></span>权<span class="_ _1"></span>重<span class="_ _11"></span>系<span class="_ _1"></span>数</div><div class="t m0 x120 h19 y169 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xc1 h15 y168 ff1 fs5 fc0 sc0 ls0 ws0">当</div><div class="t m4 x5d h23 y16c ffe fs7 fc0 sc0 ls0 ws0">i</div><div class="t m0 x129 h26 y16d ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 xa7 h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">0</div><div class="t m0 xbc h15 y16e ff1 fs5 fc0 sc0 ls0 ws0">时</div><div class="t m0 x13 h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x40 h23 y16c ffe fs7 fc0 sc0 ls0 ws0">w</div><div class="t m6 x60 h27 y170 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x12a h26 y16d ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x2d h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">4</div><div class="t m0 x12b h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m0 x11e h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">9</div><div class="t m0 x12c h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x12d h15 y16e ff1 fs5 fc0 sc0 ls0 ws0">当</div><div class="t m4 x12e h23 y16c ffe fs7 fc0 sc0 ls0 ws0">i</div><div class="t m0 x111 h26 y16d ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x44 h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x115 h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x3b h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m0 x12f h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x128 h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">3</div><div class="t m0 x11b h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x130 h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">4</div><div class="t m0 xb2 h15 y16e ff1 fs5 fc0 sc0 ls0 ws0">时</div><div class="t m0 x2e h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x16 h23 y16c ffe fs7 fc0 sc0 ls0 ws0">w</div><div class="t m6 x85 h27 y170 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x131 h26 y16d ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x132 h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x133 h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m0 x121 h17 y16c ff2 fs5 fc0 sc0 ls0 ws0">9</div><div class="t m0 xa8 h19 y16f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x37 h15 y171 ff1 fs5 fc0 sc0 ls0 ws0">当</div><div class="t m4 x10b h23 y172 ffe fs7 fc0 sc0 ls0 ws0">i</div><div class="t m0 x134 h26 y173 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x10d h17 y172 ff2 fs5 fc0 sc0 ls0 ws0">5</div><div class="t m0 x10e h19 y174 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x14 h17 y172 ff2 fs5 fc0 sc0 ls0 ws0">6</div><div class="t m0 x60 h19 y174 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x135 h17 y172 ff2 fs5 fc0 sc0 ls0 ws0">7</div><div class="t m0 x136 h19 y174 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x26 h17 y172 ff2 fs5 fc0 sc0 ls0 ws0">8</div><div class="t m0 x137 h15 y171 ff1 fs5 fc0 sc0 ls0 ws0">时</div><div class="t m0 x138 h19 y174 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 xb5 h23 y172 ffe fs7 fc0 sc0 ls0 ws0">w</div><div class="t m6 x139 h27 y175 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x110 h26 y173 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x7f h17 y172 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x13a h19 y174 ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m0 x13b h17 y172 ff2 fs5 fc0 sc0 ls0 ws0">3<span class="_ _8"></span>6</div><div class="t m0 x12f h19 y174 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x134 h17 y176 ff2 fs5 fc0 sc0 ls0 ws0">S<span class="_ _f"></span>h<span class="_ _8"></span>a<span class="_ _b"></span>n</div><div class="t m0 x25 h15 y177 ff1 fs5 fc0 sc0 ls0 ws0">和</div><div class="t m0 x13c h17 y176 ff2 fs5 fc0 sc0 ls0 ws0">C<span class="_ _9"></span>h<span class="_ _8"></span>e<span class="_ _8"></span>n</div><div class="t m0 x126 h20 y178 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x12c h21 y179 ff2 fs6 fc0 sc0 ls0 ws0">1<span class="_ _c"></span>7</div><div class="t m0 x13d h20 y178 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x12e h15 y177 ff1 fs5 fc0 sc0 ls0 ws0">提<span class="_ _1"></span>出<span class="_ _1"></span>的<span class="_ _11"></span>伪<span class="_ _11"></span>势<span class="_ _11"></span>能<span class="_ _18"></span>模<span class="_ _11"></span>型<span class="_ _11"></span>中</div><div class="t m0 xae h19 y17a ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xaf h15 y177 ff1 fs5 fc0 sc0 ls0 ws0">微<span class="_ _11"></span>团</div><div class="t m0 x37 h15 y17b ff1 fs5 fc0 sc0 ls0 ws0">间<span class="_ _1"></span>相<span class="_ _1"></span>互<span class="_ _11"></span>作<span class="_ _1"></span>用<span class="_ _1"></span>力</div><div class="t m4 xb8 h23 y17c ffe fs7 fc0 sc0 ls0 ws0">F</div><div class="t m0 x13e h19 y17d ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x11e h2a y17c ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x12c h19 y17d ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x15 h23 y17c ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x13f h19 y17d ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x7e h15 y17b ff1 fs5 fc0 sc0 ls0 ws0">为</div><div class="t m4 x140 h23 y17e ffe fs7 fc0 sc0 ls0 ws0">F</div><div class="t m0 x122 h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xbc h2a y17e ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xbb h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x13 h23 y17e ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x5f h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x38 h26 y180 ffe fs5 fc0 sc0 ls0 ws0">=<span class="_ _1d"></span>-</div><div class="t m4 x125 h23 y17e ffe fs7 fc0 sc0 ls0 ws0">G</div><div class="t m4 x13e h25 y181 fff fs7 fc0 sc0 ls0 ws0">ψ</div><div class="t m0 x138 h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x15 h2a y17e ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x139 h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x28 h23 y17e ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x110 h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x141 h2e y182 ff5 fsa fc0 sc0 ls0 ws0">∑</div><div class="t m0 x142 h21 y183 ff2 fs6 fc0 sc0 ls0 ws0">8</div><div class="t m6 x141 h27 y184 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x7f h29 y185 ffe fs6 fc0 sc0 ls0 ws0">=</div><div class="t m0 x44 h21 y184 ff2 fs6 fc0 sc0 ls0 ws0">1</div><div class="t m4 x143 h23 y17e ffe fs7 fc0 sc0 ls0 ws0">w</div><div class="t m6 x144 h27 y186 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m4 x145 h25 y181 fff fs7 fc0 sc0 ls0 ws0">ψ</div><div class="t m0 x146 h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x147 h2a y17e ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xb1 h26 y180 ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m4 xa9 h2a y17e ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 xaa h27 y186 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x148 h2b y187 ffd fs5 fc0 sc0 ls0 ws0">Δ</div><div class="t m4 xab h23 y17e ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x149 h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x14a h23 y17e ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x11c h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m4 xae h2a y17e ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 x14b h27 y186 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x120 h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 x121 h17 y17e ff2 fs5 fc0 sc0 ls0 ws0">7</div><div class="t m0 xa8 h19 y17f ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x37 h15 y188 ff1 fs5 fc0 sc0 ls0 ws0">式<span class="_ _11"></span>中</div><div class="t m0 x3f h19 y189 ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x122 h25 y18a fff fs7 fc0 sc0 ls0 ws0">ψ</div><div class="t m0 x56 h19 y189 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x123 h2a y18b ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x5f h19 y189 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x14c h15 y188 ff1 fs5 fc0 sc0 ls0 ws0">为</div><div class="t m4 x14d h2a y18b ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x12b h15 y188 ff1 fs5 fc0 sc0 ls0 ws0">处<span class="_ _1"></span>的<span class="_ _1"></span>势<span class="_ _11"></span>能<span class="_ _1"></span>函<span class="_ _1"></span>数</div><div class="t m0 x127 h19 y189 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x117 h15 y188 ff1 fs5 fc0 sc0 ls0 ws0">采<span class="_ _1"></span>用</div><div class="t m0 x14e h17 y18b ff2 fs5 fc0 sc0 ls0 ws0">S<span class="_ _f"></span>h<span class="_ _8"></span>a<span class="_ _b"></span>n</div><div class="t m0 x14f h15 y188 ff1 fs5 fc0 sc0 ls0 ws0">和</div><div class="t m0 x150 h17 y18b ff2 fs5 fc0 sc0 ls0 ws0">C<span class="_ _9"></span>h<span class="_ _8"></span>e<span class="_ _8"></span>n</div><div class="t m0 x37 h15 y18c ff1 fs5 fc0 sc0 ls0 ws0">以<span class="_ _1"></span>及</div><div class="t m0 x122 h17 y18d ff2 fs5 fc0 sc0 ls0 ws0">H<span class="_ _e"></span>e</div><div class="t m0 x40 h15 y18c ff1 fs5 fc0 sc0 ls0 ws0">和</div><div class="t m0 x151 h17 y18d ff2 fs5 fc0 sc0 ls0 ws0">D<span class="_ _9"></span>o<span class="_ _8"></span>o<span class="_ _4"></span>l<span class="_ _4"></span>e<span class="_ _8"></span>n</div><div class="t m0 x10f h15 y18c ff1 fs5 fc0 sc0 ls0 ws0">等<span class="_ _1"></span>所<span class="_ _1"></span>采<span class="_ _11"></span>用<span class="_ _1"></span>的<span class="_ _11"></span>函<span class="_ _11"></span>数<span class="_ _11"></span>形<span class="_ _11"></span>式</div><div class="t m4 xac h25 y18e fff fs7 fc0 sc0 ls0 ws0">ψ</div><div class="t m0 x11c h19 y18f ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xae h23 y18d ffe fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x133 h19 y18f ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 xc1 h26 y190 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 x4d h25 y191 fff fs7 fc0 sc0 ls0 ws0">ψ</div><div class="t m0 x152 h21 y192 ff2 fs6 fc0 sc0 ls0 ws0">0</div><div class="t m0 xba h17 y193 ff2 fs5 fc0 sc0 ls0 ws0">e<span class="_ _8"></span>x</div><div class="t m0 x12 h17 y194 ff2 fs5 fc0 sc0 ls0 ws0">p</div><div class="t m0 xb0 h19 y195 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 x153 h26 y196 ffe fs5 fc0 sc0 ls0 ws0">-</div><div class="t m4 x40 h25 y191 fff fs7 fc0 sc0 ls0 ws0">ρ</div><div class="t m0 x154 h21 y197 ff2 fs6 fc0 sc0 ls0 ws0">0</div><div class="t m0 x38 h19 y195 ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m4 xb7 h25 y191 fff fs7 fc0 sc0 ls0 ws0">ρ</div><div class="t m0 x26 h19 y195 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x155 h20 y198 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x41 h21 y199 ff2 fs6 fc0 sc0 ls0 ws0">1<span class="_ _c"></span>8</div><div class="t m3 x156 h21 y19a ff2 fs6 fc0 sc0 ls0 ws0">-</div><div class="t m0 x3a h21 y199 ff2 fs6 fc0 sc0 ls0 ws0">1<span class="_ _c"></span>9</div><div class="t m0 x15 h20 y198 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 xc0 h19 y195 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x157 h15 y19b ff1 fs5 fc0 sc0 ls0 ws0">该<span class="_ _1"></span>势<span class="_ _1"></span>能<span class="_ _11"></span>函<span class="_ _1"></span>数<span class="_ _1"></span>模<span class="_ _11"></span>型<span class="_ _1"></span>具<span class="_ _1"></span>有<span class="_ _11"></span>较<span class="_ _1"></span>强<span class="_ _1"></span>的</div><div class="t m0 x37 h15 y19c ff1 fs5 fc0 sc0 ls0 ws0">稳<span class="_ _1"></span>定<span class="_ _1"></span>性</div><div class="t m0 x56 h19 y19d ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x123 h23 y19e ffe fs7 fc0 sc0 ls0 ws0">G</div><div class="t m0 x158 h15 y19c ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _1f"> </span>模<span class="_ _1f"> </span>型<span class="_ _1f"> </span>参<span class="_ _1f"> </span>数</div><div class="t m0 x113 h19 y19d ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x114 h15 y19c ff1 fs5 fc0 sc0 ls0 ws0">本<span class="_ _1f"> </span>文<span class="_ _1f"> </span>选<span class="_ _1f"> </span>用<span class="_ _1f"> </span>参<span class="_ _1f"> </span>数</div><div class="t m0 x17 h19 y19d ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x85 h25 y19f fff fs7 fc0 sc0 ls0 ws0">ψ</div><div class="t m0 x131 h21 y1a0 ff2 fs6 fc0 sc0 ls0 ws0">0</div><div class="t m0 x150 h26 y1a1 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x121 h17 y19e ff2 fs5 fc0 sc0 ls0 ws0">4</div><div class="t m0 xa8 h19 y19d ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x4d h25 y1a2 fff fs7 fc0 sc0 ls0 ws0">ρ</div><div class="t m0 x10a h21 y1a3 ff2 fs6 fc0 sc0 ls0 ws0">0</div><div class="t m0 x159 h26 y1a4 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x134 h17 y1a5 ff2 fs5 fc0 sc0 ls0 ws0">2<span class="_ _8"></span>0<span class="_ _8"></span>0<span class="_ _1d"></span>k</div><div class="t m0 x25 h17 y1a6 ff2 fs5 fc0 sc0 ls0 ws0">g</div><div class="t m0 x38 h19 y1a7 ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m0 x15a h17 y1a5 ff2 fs5 fc0 sc0 ls0 ws0">l<span class="_ _5"></span>u</div><div class="t m0 x27 h21 y1a8 ff2 fs6 fc0 sc0 ls0 ws0">3</div><div class="t m0 x12b h19 y1a7 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 xb3 h23 y1a5 ffe fs7 fc0 sc0 ls0 ws0">G</div><div class="t m0 xb5 h26 y1a4 ffe fs5 fc0 sc0 ls0 ws0">=<span class="_ _1d"></span>-</div><div class="t m0 x2a h17 y1a5 ff2 fs5 fc0 sc0 ls0 ws0">1<span class="_ _8"></span>2<span class="_ _8"></span>0</div><div class="t m0 x13b h20 y1a9 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x115 h21 y1a8 ff2 fs6 fc0 sc0 ls0 ws0">2<span class="_ _c"></span>0</div><div class="t m0 x80 h20 y1a9 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x116 h19 y1a7 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x81 h15 y1aa ff1 fs5 fc0 sc0 ls0 ws0">该<span class="_ _18"></span>参<span class="_ _1f"> </span>数<span class="_ _1f"> </span>下<span class="_ _18"></span>的<span class="_ _1f"> </span>气<span class="_ _1f"> </span>液</div><div class="t m0 x37 h15 y1ab ff1 fs5 fc0 sc0 ls0 ws0">相<span class="_ _1"></span>密<span class="_ _1"></span>度</div><div class="t m4 x10d h25 y1ac fff fs7 fc0 sc0 ls0 ws0">ρ</div><div class="t m0 x13 h21 y1ad ff2 fs6 fc0 sc0 ls0 ws0">l</div><div class="t m0 x15b h26 y1ae ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x15a h17 y1af ff2 fs5 fc0 sc0 ls0 ws0">5<span class="_ _8"></span>1<span class="_ _8"></span>4<span class="_ _10"></span><span class="ffe">.<span class="_ _a"></span><span class="ff2">6<span class="_ _b"></span>4<span class="_ _1e"></span>k</span></span></div><div class="t m0 x28 h17 y1b0 ff2 fs5 fc0 sc0 ls0 ws0">g</div><div class="t m0 x7e h19 y1b1 ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m0 x15c h17 y1af ff2 fs5 fc0 sc0 ls0 ws0">l<span class="_ _5"></span>u</div><div class="t m0 xb6 h21 y1b2 ff2 fs6 fc0 sc0 ls0 ws0">3</div><div class="t m0 x143 h19 y1b1 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x15d h25 y1ac fff fs7 fc0 sc0 ls0 ws0">ρ</div><div class="t m0 x145 h21 y1ad ff2 fs6 fc0 sc0 ls0 ws0">v</div><div class="t m0 x117 h26 y1ae ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x130 h17 y1af ff2 fs5 fc0 sc0 ls0 ws0">8<span class="_ _8"></span>5<span class="_ _10"></span><span class="ffe">.<span class="_ _a"></span><span class="ff2">7<span class="_ _8"></span>0<span class="_ _b"></span>4<span class="_ _1e"></span>k</span></span></div><div class="t m0 x15e h17 y1b0 ff2 fs5 fc0 sc0 ls0 ws0">g</div><div class="t m0 x15f h19 y1b1 ff10 fs5 fc0 sc0 ls0 ws0">/</div><div class="t m0 xaf h17 y1af ff2 fs5 fc0 sc0 ls0 ws0">l<span class="_ _5"></span>u</div><div class="t m0 xc1 h21 y1b2 ff2 fs6 fc0 sc0 ls0 ws0">3</div><div class="t m0 xa8 h19 y1b1 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x3f h15 y1b3 ff1 fs5 fc0 sc0 ls0 ws0">动<span class="_ _18"></span>态<span class="_ _20"> </span>湿<span class="_ _1f"> </span>润<span class="_ _20"> </span>中<span class="_ _1f"> </span>流<span class="_ _20"> </span>体<span class="_ _1f"> </span>在<span class="_ _20"> </span>固<span class="_ _20"> </span>体<span class="_ _1f"> </span>表<span class="_ _20"> </span>面<span class="_ _1f"> </span>实<span class="_ _20"> </span>现<span class="_ _1f"> </span>替<span class="_ _20"> </span>换</div><div class="t m0 x11d h19 y1b4 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xc1 h15 y1b3 ff1 fs5 fc0 sc0 ls0 ws0">在</div><div class="t m0 x160 h17 y1b5 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 x161 h15 y1b6 ff1 fs5 fc0 sc0 ls0 ws0">模<span class="_ _1"></span>拟<span class="_ _1"></span>中</div><div class="t m0 x39 h19 y1b7 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x26 h17 y1b5 ff2 fs5 fc0 sc0 ls0 ws0">M<span class="_ _c"></span>a<span class="_ _4"></span>r<span class="_ _4"></span>t</div><div class="t m0 x138 h17 y1b8 ff2 fs5 fc0 sc0 ls0 ws0">y</div><div class="t m0 x10f h17 y1b5 ff2 fs5 fc0 sc0 ls0 ws0">s</div><div class="t m0 x12e h15 y1b6 ff1 fs5 fc0 sc0 ls0 ws0">和</div><div class="t m0 x162 h17 y1b5 ff2 fs5 fc0 sc0 ls0 ws0">C<span class="_ _9"></span>h<span class="_ _8"></span>e<span class="_ _8"></span>n</div><div class="t m0 x163 h20 y1b9 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x12f h21 y1ba ff2 fs6 fc0 sc0 ls0 ws0">2<span class="_ _c"></span>1</div><div class="t m0 x147 h20 y1b9 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x11b h15 y1b6 ff1 fs5 fc0 sc0 ls0 ws0">提<span class="_ _1"></span>出<span class="_ _1"></span>在<span class="_ _11"></span>固<span class="_ _11"></span>体<span class="_ _11"></span>和<span class="_ _11"></span>流</div><div class="t m0 x37 h15 y1bb ff1 fs5 fc0 sc0 lsa ws0">体<span class="_ _1e"></span>间<span class="_ _1d"></span>引入<span class="_ _1d"></span>类<span class="_ _1e"></span>似<span class="_ _1e"></span>于流体微团间的伪势能函数</div><div class="t m0 xae h19 y1bc ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xaf h15 y1bb ff1 fs5 fc0 sc0 ls0 ws0">来<span class="_ _11"></span>描</div><div class="t m0 x37 h15 y1bd ff1 fs5 fc0 sc0 ls7 ws0">述微团与固体间的相互作用力</div><div class="t m0 x116 h19 y1be ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x160 h23 y1bf ffe fs7 fc0 sc0 ls0 ws0">F</div><div class="t m0 x164 h21 y1c0 ff2 fs6 fc0 sc0 ls0 ws0">a<span class="_ _e"></span>d<span class="_ _c"></span>s</div><div class="t m0 xa7 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x12 h2a y1bf ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x55 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 xb0 h23 y1bf ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x165 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x14 h26 y1c1 ffe fs5 fc0 sc0 ls0 ws0">=<span class="_ _1d"></span>-</div><div class="t m4 x14d h23 y1bf ffe fs7 fc0 sc0 ls0 ws0">G</div><div class="t m0 x125 h21 y1c0 ff2 fs6 fc0 sc0 ls0 ws0">a<span class="_ _e"></span>d<span class="_ _c"></span>s</div><div class="t m4 x11e h25 y1c2 fff fs7 fc0 sc0 ls0 ws0">ψ</div><div class="t m0 x12c h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 xb5 h2a y1bf ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x157 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x28 h23 y1bf ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x166 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x162 h2e y1c3 ff5 fsa fc0 sc0 ls0 ws0">∑</div><div class="t m0 x43 h21 y1c4 ff2 fs6 fc0 sc0 ls0 ws0">8</div><div class="t m6 x162 h27 y1c5 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x142 h29 y1c6 ffe fs6 fc0 sc0 ls0 ws0">=</div><div class="t m0 x13a h21 y1c5 ff2 fs6 fc0 sc0 ls0 ws0">1</div><div class="t m4 x13b h23 y1bf ffe fs7 fc0 sc0 ls0 ws0">w</div><div class="t m6 x145 h27 y1c0 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m4 x145 h23 y1bf ffe fs7 fc0 sc0 ls0 ws0">s</div><div class="t m0 x146 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x147 h2a y1bf ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xb1 h26 y1c1 ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m4 x82 h2a y1bf ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 x83 h27 y1c0 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 xaa h2b y1c7 ffd fs5 fc0 sc0 ls0 ws0">Δ</div><div class="t m4 x167 h23 y1bf ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x168 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 x85 h23 y1bf ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x131 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m4 x15e h2a y1bf ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 x15f h27 y1c0 ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x120 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 x121 h17 y1bf ff2 fs5 fc0 sc0 ls0 ws0">8</div><div class="t m0 xa8 h19 y46 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x37 h15 y1c8 ff1 fs5 fc0 sc0 ls0 ws0">式<span class="_ _1"></span>中</div><div class="t m0 x3f h19 y1c9 ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x169 h23 y1ca ffe fs7 fc0 sc0 ls0 ws0">s</div><div class="t m0 x10d h19 y1c9 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m4 x153 h2a y1ca ff11 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xb9 h26 y1cb ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m4 x14c h2a y1ca ff11 fs7 fc0 sc0 ls0 ws0">e</div><div class="t m6 x39 h27 y1cc ffe fs8 fc0 sc0 ls0 ws0">i</div><div class="t m0 x14d h2b y1cd ffd fs5 fc0 sc0 ls0 ws0">Δ</div><div class="t m4 x2d h23 y1ca ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 x137 h19 y1c9 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m4 xb3 h23 y1ca ffe fs7 fc0 sc0 ls0 ws0">t</div><div class="t m0 xbf h19 y1c9 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x12d h15 y1c8 ff1 fs5 fc0 sc0 ls0 ws0">是<span class="_ _1"></span>指<span class="_ _1"></span>示<span class="_ _11"></span>函<span class="_ _1"></span>数</div><div class="t m0 x16a h19 y1c9 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x11b h15 y1c8 ff1 fs5 fc0 sc0 ls0 ws0">当<span class="_ _1"></span>结<span class="_ _1"></span>点<span class="_ _11"></span>位<span class="_ _1"></span>于<span class="_ _11"></span>固<span class="_ _11"></span>体</div><div class="t m0 x37 h15 y1ce ff1 fs5 fc0 sc0 ls0 ws0">区<span class="_ _1"></span>域<span class="_ _1"></span>时<span class="_ _11"></span>等<span class="_ _1"></span>于</div><div class="t m0 x16b h17 y1cf ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x16c h19 y1d0 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x124 h15 y1ce ff1 fs5 fc0 sc0 ls0 ws0">位<span class="_ _1"></span>于<span class="_ _18"></span>流<span class="_ _18"></span>体<span class="_ _11"></span>区<span class="_ _18"></span>域<span class="_ _18"></span>时<span class="_ _11"></span>等<span class="_ _18"></span>于</div><div class="t m0 x16d h17 y1cf ff2 fs5 fc0 sc0 ls0 ws0">0</div><div class="t m0 x167 h19 y1d0 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x16e h15 y1ce ff1 fs5 fc0 sc0 ls0 ws0">表<span class="_ _11"></span>示<span class="_ _18"></span>该<span class="_ _18"></span>作</div><div class="t m0 x37 h15 y1d1 ff1 fs5 fc0 sc0 ls0 ws0">用<span class="_ _1"></span>力<span class="_ _1"></span>仅<span class="_ _11"></span>对<span class="_ _11"></span>固<span class="_ _18"></span>体<span class="_ _18"></span>表<span class="_ _18"></span>面<span class="_ _18"></span>存<span class="_ _18"></span>在</div><div class="t m0 x141 h19 y1d2 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m4 x16f h23 y1d3 ffe fs7 fc0 sc0 ls0 ws0">G</div><div class="t m0 x170 h21 y1d4 ff2 fs6 fc0 sc0 ls0 ws0">a<span class="_ _e"></span>d<span class="_ _c"></span>s</div><div class="t m0 x80 h15 y1d5 ff1 fs5 fc0 sc0 lsf ws0">表征流体与固体表</div><div class="t m0 x37 h15 y1d6 ff1 fs5 fc0 sc0 ls7 ws0">面之间的相互作用<span class="_ _1b"></span>强<span class="_ _1b"></span>度</div><div class="t m0 x15c h19 y1d7 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x7f h15 y1d8 ff1 fs5 fc0 sc0 ls0 ws0">通<span class="_ _11"></span>过<span class="_ _18"></span>控<span class="_ _18"></span>制<span class="_ _11"></span>参<span class="_ _18"></span>数</div><div class="t m4 x16e h23 y1d9 ffe fs7 fc0 sc0 ls0 ws0">G</div><div class="t m0 x14f h21 y1da ff2 fs6 fc0 sc0 ls0 ws0">a<span class="_ _e"></span>d<span class="_ _c"></span>s</div><div class="t m0 xaf h15 y1d8 ff1 fs5 fc0 sc0 ls0 ws0">可<span class="_ _11"></span>以</div><div class="t m0 x37 h15 y1db ff1 fs5 fc0 sc0 ls7 ws0">控制流体在固体表面的静态接触角</div><div class="t m0 x82 h20 y1dc ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x14e h21 y1dd ff2 fs6 fc0 sc0 ls0 ws0">2<span class="_ _c"></span>0</div><div class="t m0 xaa h20 y1dc ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 x171 h19 y1de ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x4d h24 y1df ff4 fs5 fc0 sc0 ls0 ws0">1<span class="_ _10"></span>.<span class="_ _a"></span>3</div><div class="t m0 xa7 h22 y1e0 ff5 fs5 fc0 sc0 ls0 ws0"> </div><div class="t m0 xbc h15 y1e1 ff6 fs5 fc0 sc0 ls7 ws0">非牛顿流体动态湿润</div><div class="t m0 x143 h24 y1df ff4 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _10"></span>M</div><div class="t m0 x130 h15 y1e1 ff6 fs5 fc0 sc0 ls0 ws0">模<span class="_ _1"></span>型<span class="_ _1"></span>建<span class="_ _11"></span>立</div><div class="t m0 x172 h17 y1e2 ff2 fs5 fc0 sc0 ls0 ws0">A<span class="_ _e"></span>h<span class="_ _8"></span>a<span class="_ _5"></span>r<span class="_ _b"></span>o<span class="_ _8"></span>n<span class="_ _8"></span>o<span class="_ _8"></span>v</div><div class="t m0 x2d h20 y1e3 ff10 fs6 fc0 sc0 ls0 ws0">[</div><div class="t m0 x155 h21 y1e4 ff2 fs6 fc0 sc0 ls0 ws0">2<span class="_ _c"></span>2</div><div class="t m0 xb3 h20 y1e3 ff10 fs6 fc0 sc0 ls0 ws0">]</div><div class="t m0 xbf h15 y1e5 ff1 fs5 fc0 sc0 ls0 ws0">提<span class="_ _24"> </span>出<span class="_ _24"> </span>的<span class="_ _24"> </span>矩<span class="_ _24"> </span>阵<span class="_ _24"> </span>碰<span class="_ _24"> </span>撞<span class="_ _24"> </span>算<span class="_ _24"> </span>子<span class="_ _24"> </span>法</div><div class="t m0 x133 h19 y1e6 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xc1 h15 y1e5 ff1 fs5 fc0 sc0 ls0 ws0">将</div><div class="t m0 x160 h17 y1e7 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 x161 h15 y1e8 ff1 fs5 fc0 sc0 ls0 ws0">应<span class="_ _1"></span>用<span class="_ _1"></span>于<span class="_ _11"></span>非<span class="_ _1"></span>牛<span class="_ _1"></span>顿<span class="_ _11"></span>流<span class="_ _1"></span>体<span class="_ _1"></span>的<span class="_ _11"></span>单<span class="_ _1"></span>相<span class="_ _1"></span>流<span class="_ _1"></span>动<span class="_ _11"></span>模<span class="_ _11"></span>拟</div><div class="t m0 x14a h19 y1e9 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 xad h15 y1e8 ff1 fs5 fc0 sc0 ls0 ws0">该<span class="_ _11"></span>方<span class="_ _11"></span>法</div><div class="t m0 x37 h15 y1ea ff1 fs5 fc0 sc0 lsa ws0">通<span class="_ _1e"></span>过<span class="_ _1d"></span>在流<span class="_ _1d"></span>体<span class="_ _1e"></span>微<span class="_ _1e"></span>团的每一步碰撞迁移后</div><div class="t m0 x167 h19 y1eb ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x16e h15 y1ea ff1 fs5 fc0 sc0 ls0 ws0">根<span class="_ _11"></span>据<span class="_ _18"></span>局<span class="_ _18"></span>部</div><div class="t m0 x37 h15 y1ec ff1 fs5 fc0 sc0 ls0 ws0">流<span class="_ _1"></span>场<span class="_ _1"></span>调<span class="_ _11"></span>整<span class="_ _1"></span>每<span class="_ _11"></span>个<span class="_ _18"></span>格<span class="_ _18"></span>点<span class="_ _18"></span>上<span class="_ _18"></span>的<span class="_ _18"></span>松<span class="_ _18"></span>弛<span class="_ _18"></span>时<span class="_ _18"></span>间</div><div class="t m4 x173 h25 y1ed fff fs7 fc0 sc0 ls0 ws0">τ</div><div class="t m0 xb2 h21 y1ee ff2 fs6 fc0 sc0 ls0 ws0">v</div><div class="t m0 xaa h15 y1ec ff1 fs5 fc0 sc0 ls0 ws0">来<span class="_ _18"></span>改<span class="_ _18"></span>变<span class="_ _18"></span>流<span class="_ _18"></span>场</div><div class="t m0 x37 h15 y1ef ff1 fs5 fc0 sc0 ls0 ws0">各<span class="_ _1"></span>处<span class="_ _1"></span>的<span class="_ _11"></span>流<span class="_ _1"></span>体<span class="_ _11"></span>黏<span class="_ _11"></span>度</div><div class="t m4 xb3 h25 y1f0 fff fs7 fc0 sc0 ls0 ws0">μ</div><div class="t m0 x138 h19 y1f1 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x139 h15 y1ef ff1 fs5 fc0 sc0 ls0 ws0">由<span class="_ _11"></span>此<span class="_ _18"></span>可<span class="_ _18"></span>知</div><div class="t m0 x117 h17 y1f2 ff2 fs5 fc0 sc0 ls0 ws0">L<span class="_ _0"></span>B<span class="_ _d"></span>M</div><div class="t m0 xaa h15 y1ef ff1 fs5 fc0 sc0 ls0 ws0">模<span class="_ _18"></span>拟<span class="_ _18"></span>非<span class="_ _18"></span>牛<span class="_ _18"></span>顿</div><div class="t m0 x37 h15 y1f3 ff1 fs5 fc0 sc0 ls0 ws0">流<span class="_ _1"></span>体<span class="_ _1"></span>的<span class="_ _11"></span>关<span class="_ _18"></span>键<span class="_ _18"></span>在<span class="_ _18"></span>于<span class="_ _1f"> </span>如<span class="_ _18"></span>何<span class="_ _1f"> </span>确<span class="_ _1f"> </span>定<span class="_ _1f"></span>每<span class="_ _18"></span>一<span class="_ _1f"> </span>格<span class="_ _1f"></span>点<span class="_ _18"></span>的<span class="_ _1f"> </span>松<span class="_ _1f"></span>弛<span class="_ _18"></span>时<span class="_ _1f"> </span>间</div><div class="t m4 x4d h25 y1f4 fff fs7 fc0 sc0 ls0 ws0">τ</div><div class="t m0 x10a h21 y1f5 ff2 fs6 fc0 sc0 ls0 ws0">v</div><div class="t m0 x174 h19 y1f6 ff10 fs5 fc0 sc0 ls0 ws0">。</div><div class="t m0 x134 h15 y1f7 ff1 fs5 fc0 sc0 ls0 ws0">本<span class="_ _1"></span>文<span class="_ _1"></span>以<span class="_ _11"></span>幂<span class="_ _18"></span>指<span class="_ _18"></span>流<span class="_ _18"></span>体<span class="_ _18"></span>为<span class="_ _18"></span>研<span class="_ _18"></span>究<span class="_ _18"></span>对<span class="_ _18"></span>象</div><div class="t m0 x53 h19 y1f6 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x175 h15 y1f7 ff1 fs5 fc0 sc0 ls0 ws0">由<span class="_ _18"></span>黏<span class="_ _18"></span>度<span class="_ _18"></span>与<span class="_ _18"></span>松<span class="_ _1f"></span>弛</div><div class="t m0 x37 h15 y1f8 ff1 fs5 fc0 sc0 ls0 ws0">时<span class="_ _1"></span>间<span class="_ _1"></span>的</div><div class="t m4 x56 h25 y1f9 fff fs7 fc0 sc0 ls0 ws0">μ</div><div class="t m5 x40 h17 y1fa ff2 fs5 fc0 sc0 ls0 ws0">-</div><div class="t m4 x40 h25 y1fa fff fs7 fc0 sc0 ls0 ws0">τ</div><div class="t m0 x158 h21 y1fb ff2 fs6 fc0 sc0 ls0 ws0">v</div><div class="t m0 x12a h15 y1f8 ff1 fs5 fc0 sc0 ls0 ws0">线<span class="_ _1"></span>性<span class="_ _1"></span>关<span class="_ _11"></span>系<span class="_ _1"></span>和<span class="_ _11"></span>式</div><div class="t m0 x170 h19 y1fc ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 x143 h17 y1fd ff2 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m0 x144 h19 y1fc ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x12f h15 y1f8 ff1 fs5 fc0 sc0 ls0 ws0">可<span class="_ _11"></span>知<span class="_ _11"></span>松<span class="_ _11"></span>弛<span class="_ _11"></span>时<span class="_ _11"></span>间<span class="_ _11"></span>与<span class="_ _11"></span>剪</div><div class="t m0 x37 h15 y1fe ff1 fs5 fc0 sc0 ls0 ws0">切<span class="_ _1"></span>速<span class="_ _1"></span>率<span class="_ _11"></span>满<span class="_ _1"></span>足</div><div class="t m4 x3a h25 y1ff fff fs7 fc0 sc0 ls0 ws0">τ</div><div class="t m0 x15 h21 y200 ff2 fs6 fc0 sc0 ls0 ws0">v</div><div class="t m0 x13f h26 y201 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m4 x110 h25 y1ff fff fs7 fc0 sc0 ls0 ws0">τ</div><div class="t m0 x141 h21 y200 ff2 fs6 fc0 sc0 ls0 ws0">0</div><div class="t m4 x43 h25 y1ff fff fs7 fc0 sc0 ls0 ws0">γ</div><div class="t m0 x44 h28 y202 ff5 fs6 fc0 sc0 ls0 ws0"> </div><div class="t m0 x13a h20 y203 ff10 fs6 fc0 sc0 ls0 ws0">·<span class="_ _1d"></span>(</div><div class="t m6 x15d h27 y204 ffe fs8 fc0 sc0 ls0 ws0">n</div><div class="t m0 x3b h29 y205 ffe fs6 fc0 sc0 ls0 ws0">-</div><div class="t m0 x145 h21 y204 ff2 fs6 fc0 sc0 ls0 ws0">1</div><div class="t m0 x12f h20 y203 ff10 fs6 fc0 sc0 ls0 ws0">)</div><div class="t m0 x120 h19 y6d ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 x121 h17 y206 ff2 fs5 fc0 sc0 ls0 ws0">9</div><div class="t m0 xa8 h19 y6d ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x37 h15 y207 ff1 fs5 fc0 sc0 ls0 ws0">式<span class="_ _1"></span>中</div><div class="t m0 x3f h19 y208 ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x169 h25 y209 fff fs7 fc0 sc0 ls0 ws0">τ</div><div class="t m0 x10c h21 y20a ff2 fs6 fc0 sc0 ls0 ws0">0</div><div class="t m0 x10e h15 y207 ff1 fs5 fc0 sc0 ls0 ws0">为<span class="_ _18"></span>常<span class="_ _1f"> </span>数</div><div class="t m0 x12b h19 y208 ff10 fs5 fc0 sc0 ls0 ws0">,</div><div class="t m0 x3a h15 y207 ff1 fs5 fc0 sc0 ls0 ws0">剪<span class="_ _18"></span>切<span class="_ _1f"> </span>速<span class="_ _1f"> </span>率</div><div class="t m4 x170 h25 y209 fff fs7 fc0 sc0 ls0 ws0">γ</div><div class="t m0 x13b h28 y20b ff5 fs6 fc0 sc0 ls0 ws0"> </div><div class="t m0 x13b h20 y20c ff10 fs6 fc0 sc0 ls0 ws0">·</div><div class="t m0 x176 h15 y207 ff1 fs5 fc0 sc0 ls10 ws0">可由当地速度场计</div><div class="t m0 x37 h15 y20d ff1 fs5 fc0 sc0 ls0 ws0">算</div><div class="t m0 xa6 h19 y20e ff10 fs5 fc0 sc0 ls0 ws0">:</div><div class="t m4 x172 h25 y20f fff fs7 fc0 sc0 ls0 ws0">γ</div><div class="t m0 x122 h28 y210 ff5 fs6 fc0 sc0 ls0 ws0"> </div><div class="t m0 x122 h20 y211 ff10 fs6 fc0 sc0 ls0 ws0">·</div><div class="t m6 x55 h27 y212 ffe fs8 fc0 sc0 ls0 ws0">x</div><div class="t m0 x56 h20 y213 ff10 fs6 fc0 sc0 ls0 ws0">,</div><div class="t m6 x123 h27 y214 ffe fs8 fc0 sc0 ls0 ws0">y</div><div class="t m0 x40 h26 y215 ffe fs5 fc0 sc0 ls0 ws0">=</div><div class="t m0 x14d h17 y216 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x14d h17 y217 ff2 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11e h22 y218 ff5 fs5 fc0 sc0 ls0 ws0"></div><div class="t m4 xb4 h2a y219 ff11 fs7 fc0 sc0 ls0 ws0">u</div><div class="t m6 xb5 h27 y21a ffe fs8 fc0 sc0 ls0 ws0">y</div><div class="t m0 x156 h22 y21b ff5 fs5 fc0 sc0 ls0 ws0"></div><div class="t m4 x126 h23 y150 ffe fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x139 h26 y21c ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m0 x166 h22 y218 ff5 fs5 fc0 sc0 ls0 ws0"></div><div class="t m4 x141 h2a y219 ff11 fs7 fc0 sc0 ls0 ws0">u</div><div class="t m6 xb6 h27 y21d ffe fs8 fc0 sc0 ls0 ws0">x</div><div class="t m0 x15c h22 y21b ff5 fs5 fc0 sc0 ls0 ws0"></div><div class="t m7 x177 h2c y21e ff10 fs9 fc0 sc0 ls0 ws0">(<span class="_ _25"> </span>)</div><div class="t m4 x16f h23 y21f ffe fs7 fc0 sc0 ls0 ws0">y</div><div class="t m0 x178 h17 y216 ff2 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x178 h17 y217 ff2 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m0 x147 h22 y218 ff5 fs5 fc0 sc0 ls0 ws0"></div><div class="t m4 x2c h2a y219 ff11 fs7 fc0 sc0 ls0 ws0">u</div><div class="t m6 x54 h27 y21d ffe fs8 fc0 sc0 ls0 ws0">x</div><div class="t m0 x118 h22 y21b ff5 fs5 fc0 sc0 ls0 ws0"></div><div class="t m4 x53 h23 y21f ffe fs7 fc0 sc0 ls0 ws0">y</div><div class="t m0 x179 h26 y21c ffe fs5 fc0 sc0 ls0 ws0">+</div><div class="t m0 x171 h22 y218 ff5 fs5 fc0 sc0 ls0 ws0"></div><div class="t m4 x84 h2a y219 ff11 fs7 fc0 sc0 ls0 ws0">u</div><div class="t m6 x14a h27 y21a ffe fs8 fc0 sc0 ls0 ws0">y</div><div class="t m0 x17a h22 y21b ff5 fs5 fc0 sc0 ls0 ws0"></div><div class="t m7 x117 h2c y21e ff10 fs9 fc0 sc0 ls0 ws0">(<span class="_ _25"> </span>)</div><div class="t m0 x38 h2f y220 ff5 fs3 fc0 sc0 ls0 ws0">槡</div><div class="t m4 x17b h23 y150 ffe fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 xaf h19 y221 ff10 fs5 fc0 sc0 ls0 ws0">(</div><div class="t m0 x133 h17 y222 ff2 fs5 fc0 sc0 ls0 ws0">1<span class="_ _8"></span>0</div><div class="t m0 xa8 h19 y221 ff10 fs5 fc0 sc0 ls0 ws0">)</div><div class="t m0 x103 h4 y223 ff2 fs0 fc0 sc0 ls0 ws0">6<span class="_ _26"></span>3<span class="_ _26"></span>3</div><div class="t m0 x17c h15 y224 ffc fs5 fc0 sc0 ls0 ws0">热<span class="_ _27"> </span>科<span class="_ _27"> </span>学<span class="_ _28"> </span>与<span class="_ _28"> </span>技<span class="_ _27"> </span>术</div><div class="t m0 x14f h3 y225 ff1 fs0 fc0 sc0 ls0 ws0">第</div><div class="t m0 xae h4 y226 ff2 fs0 fc0 sc0 ls0 ws0">1<span class="_ _0"></span>2</div><div class="t m0 x120 h3 y225 ff1 fs0 fc0 sc0 ls0 ws0">卷</div><div class="t m0 x17d h1b y227 ff5 fs0 fc0 sc0 ls0 ws0"> </div></div></div><div class="pi" data-data='{"ctm":[1.611850,0.000000,0.000000,1.611850,0.000000,0.000000]}'></div></div>