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題 名 | Boundary Effect on the Thermocapillary Motion of a Spherical Droplet Perpendicular to Two Parallel Plates=球形液滴垂直兩平行平板熱毛細泳運動之邊界效應 |
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作 者 | 陳立憲; | 書刊名 | Journal of the Chinese Institute of Chemical Engineers |
卷 期 | 35:2 2004.03[民93.03] |
頁 次 | 頁231-244 |
分類號 | 460.02 |
關鍵詞 | 球形液滴; 熱毛細泳運動; 邊界效應; Thermocapillary motion; Liquid droplet; Boundary effects; Collocation technique; |
語 文 | 英文(English) |
中文摘要 | 本文以理論探討一球形液滴垂直兩平行平板熱毛細泳運動之邊界效應。吾人假設外加的固定溫度梯度場其方向垂直平板而且液滴進行熱毛細泳運動時仍維持球形。平板的存在對於液滴熱毛細泳運動會產生兩種效應,一方面平板使得流體作用於液滴之黏滯力增加,另一方面溫度場受到平板的影響會加速液滴之泳動速度。使用圓球與圓柱兩座標系統並且利用邊界取點法可求解出主導液滴內外溫度分佈與流體速度分佈之能量與動量方程式,而液滴進行熱毛細泳運動的速度亦可以求得,並與反射法之計算結果互相比較,其結果相當一致。平板之邊界效應,可降低液滴的運動速度。在固定液滴性質下,其熱毛細泳速度會隨液滴中心到平板間之距離的減少,而呈單調地遞減。 |
英文摘要 | The steady thermocapillary motion of a spherical fluid droplet located between two infinite parallel plane walls is studied theoretically. The imposed temperature gradient is constant and perpendicular to two parallel plates, and the droplet is assumed to maintain its spherical shape. The presence of the plane walls has two basic effects on the droplet velocity: first, the local temperature gradient on the droplet surface is enhanced by the walls, thereby speeding up the droplet; secondly, the walls increase viscous retardation of the moving droplet. To solve the thermal and hydrodynamic governing equations, general solutions are constructed from the fundamental solutions in both the circular cylindrical and spherical coordinate systems. The boundary conditions are enforced first at the plane wall by the Hankel transforms and then on the droplet surface by means of a collocation technique. For special cases of the thermocapillary motions of a spherical droplet perpendicular to a single plane wall, the collocation result agrees well with the approximate analytical solutions obtained by using a method of reflections. In general, the presence of the walls can reduce the droplet velocity. The thermocapillary velocity is a monotonically decreasing function of the ratio of the sphere to the relative droplet-wall separation distance for fixed the relative transport properties of the droplet. |
本系統中英文摘要資訊取自各篇刊載內容。