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Large amplitude surface waves

Published online by Cambridge University Press:  12 April 2006

M. I. G. Bloor
M. I. G. Bloor
Affiliation:
Department of Applied Mathematical Studies, University of Leeds, England
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Abstract

A transformation technique is used to solve the problem of steady nonlinear surface waves where the restoring force is either gravity or surface tension. An exact nonlinear integro-differential equation is found which yields known approximate solutions. Extensions to the method to account for more complicated geometries are also illustrated. The equation is solved numerically and results in agreement with previous solutions are obtained. In the case of capillary waves, the existence of two types of wave of greatest height is clearly indicated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 84 , Issue 1 , 16 January 1978 , pp. 167 - 179
Copyright
© 1978 Cambridge University Press

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