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.
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Billingham, J., Tuck, E.O. (2001). Zero Gravity Sloshing. In: King, A.C., Shikhmurzaev, Y.D. (eds) IUTAM Symposium on Free Surface Flows. Fluid Mechanics and Its Applications, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0796-2_6
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DOI: https://doi.org/10.1007/978-94-010-0796-2_6
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