Zero gravity sloshing

Abstract

We study the effect of a time-periodic, lateral acceleration on the twodimensional flow of a Newtonian fluid with a free surface subject to surface tension., The fluid is confined between two plane, parallel walls under conditions of zero gravity. We assume that the velocity of each contact line is a linear function of the slope of the free surface. This problem is relevant to the study of fluids processing in a microgravity environment, but is also of more general interest as a flow in which the dynamics of the moving contact lines completely determine the behaviour of the fluid. © 2001 Kluwer Academic Publishers.