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The Quarterly Journal of Mechanics and Applied Mathematics 1990 43(2):251-273; doi:10.1093/qjmam/43.2.251
© 1990 by Oxford University Press
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SURFACE-TENSION-DRIVEN FLOW IN A WEDGE

J. B. LAWRIE

( School of Mathematics, University of Bristol, University Walk Bristol BS8 1TW )

A wedge of liquid is bounded by a solid along one edge and a free surface at the other. The initial angle between the free surface and the solid is not equal to the contact angle and, in order to adjust this, there is immediate motion within the fluid. This is a surface-tension-driven flow and it is self-similar at all times. In this paper an exact solution to the linear problem is obtained by means of the Mellin transform. Some explicit results are presented for wedge angles of ½{pi}, 1/6{pi} and 2/3{pi}.


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