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Local gravity-capillary flows near the intersection of a free surface with a vertical wall

Published online by Cambridge University Press:  01 April 1997

JEAN-MARC VANDEN-BROECK
JEAN-MARC VANDEN-BROECK
Affiliation:
Department of Mathematics and Center for the Mathematical Sciences, University of Wisconsin-Madison, Madison, WI 53706, USA
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Abstract

Local solutions near the intersection of a free surface with a vertical wall are constructed numerically. Both gravity and surface tension are included in the dynamic boundary condition. It was shown that the solutions are characterized by the angle γ between the free surface and the wall at the separation point. There is a solution for each value of π/2<γ<π. As γ→π/2 and γ→π, the solutions reduce to the pure gravity solutions of Vanden-Broeck & Tuck [1].

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 8 , Issue 2 , April 1997 , pp. 177 - 184
Copyright
1997 Cambridge University Press

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