• 作者： Chen, Li S.; Keh, Huan J.
• 中文摘要： 本文使用一分析與數值相結合的方法,探討一串有限個球形液滴沿其連心線之軸對稱緩流運動。這些液滴的半徑,黏度或移動速度皆可不同,且它們亦可呈不等距分布。在擬穩定狀態下,此系統之運動方程式可藉由邊界取點法解得,並可計算出各種不同情況時的液滴間交互作用效應。所獲之數值解可隨著在每個液滴界面之取點數目的增加而達到所希望的精確度。對於雙液滴系統之運動,吾人所得到之液滴間交互作用參數結果與利用雙球座標系統以及切球座標系統所求出的正解互相符合。至於所計算出的三顆成串液滴沿連心線運動時之液滴間交互作用效應,顯示出第三顆液滴的存在可顯著地影響其他二顆液滴所受之阻力。吾人亦呈現了一串101顆相同且等距之液滴作軸對稱運動時所受之阻力結果,此時可發現一串液滴所展示的防護效應。
• 英文摘要： A combined analytical-numerical study on the axisymmetric slow motion of a finite chain of spherical droplets along their line of centers is presented. The spheres may differ in radius, in viscosity and in migration velocity, and they are allowed to be unequally spaced. Using a boundary-collocation technique, the creeping flow equations are solved in the quasi-steady situation and the interaction effects among the droplets are calculated for various cases. The numerical solutions can be obtained to any desired degree of accuracy by the increase of the collocation points on each droplet interface. For the motion of two-droplet systems, our results for the droplet interaction parameters agree very well with the exact solutions obtained by using spherical bipolar coordinates and tangent sphere coordinates. A calculation of the droplet interaction effects for the drag forces on chains of three droplets reveals that the existence of the third sphere can significantly affect the drags on the other two spheres. Drag results are also presented for the motion of chains containing up to 101 identical and equally spaced spheres, and the shielding effect exhibited by a chain of spheres can be found.
• 中文關鍵字： 軸對稱緩流; 多流體液滴; 邊界取點法; 緩流
• 英文關鍵字： Axisymmetric Creeping Flow; Multiple Fluid Droplet; Boundary Collocation Method; Slow Motion