平板邊界存在下之液滴熱毛細泳;Thermocapillary Motion of a Liquid Drop in the Vincinity of a Planar Wall

[[abstract]]An analytical study is presented for the thermocapillary migration of a fluid sphere in a constant applied temperature gradient perpendicular to a planar surface. The Peclet and Reynolds numbers are assumed to be small, so that the appropriate energy and momentum equations of the fluids inside and outside the droplet are governed by Laplace and Stokes equations, respectively. The asymptotic formulas for the temperature and velocity fields in the quasisteady situation are obtained by using a method of reflections. The plane surface may be a solid wall or a free surface. When the droplet is migrating normal to a solid plane, the boundary effect of the planar surface retards the droplet motion, reducing the thermocapillary velocity of the droplet. In the situation of droplet migration toward a free surface due to thermocapillarity, the droplet velocity can be either greater or smaller than that which would exist in the absence of the plane surface. Generally speaking, a free surface exerts less influence on droplet movement than does a solid surface.[[note]]計畫編號:NSC88-2214-E146-001;研究期間:8708~ 8807;研究經費:348 千