• 作者： Keh, Huan J.; Ho, Na Y.
• 中文摘要： 本文探討一群相同之球形液滴均勻分散於懸浮液中，在雷諾數和皮克列數很小的條件下，進行熱毛細運動時的液滴濃度效應，其中液滴與周圍連續相流體的黏度和熱導度可為任意值。所使用的分析方法為利用單元小室模型，此法在處理相同球形粒子的沈降運動時，可提供良好的預測結果。每個小室為球形，其中心位置含有一個球形液滴，液滴周圍則由連續相流體充滿小室。吾人求解小室內能量與動量守恆方程式，並且得到在各種不同小室邊界條件型式下的液滴熱毛細運動速度。懸浮液中液滴熱毛運動的平均速度和液滴的體積分率可以解析形式的函數關係表示出來。吾人並在使用各種小室模型和統計力學模型之情況下，將所獲得的液滴平均熱毛細運動速度的結果，做一有系統的比較。
• 英文摘要： The thermocapillary motion of a homogeneous suspension of identical spherical droplets of arbitrary viscosity and thermal conductivity is considered under conditions of vanishingly small Reynolds and Peclet numbers. The effects of interaction of the individual droplets are taken into explicit account by employing a unit cell model which is known to provide good predictions for the sedimentation of a monodisperse suspension of spherical particles . The appropriate equations of conservation of energy and momentum are solved for each cell, in which a spherical droplet is envisaged to be surrounded by a concentric shell of suspending fluid, and the thermocapillary migration velocity of the droplet is calculated for various cases. Analytical expressions of this mean droplet velocity are obtained in closed form as functions of the volume fraction of the droplets. Comparisons between the ensemble-averaged thermocapillary migration velocity of a test droplet in a dilute suspension and our cell-model results are made.
• 中文關鍵字： 液滴; 緩流; 熱毛細運動; 小室模型
• 英文關鍵字： Fluid Droplet; Creeping Flow; Thermocapillary Motion; Unit Cell Model