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A note on the free surface induced by a submerged source at infinite Froude number

Published online by Cambridge University Press:  17 February 2009

A. C. King  and
M. I. G. Bloor
A. C. King
Affiliation:
Department of Theoretical Mechanics, University of Nottingham, Nottingham, England
M. I. G. Bloor
Affiliation:
School of Applied Mathematical Studies, University of Leeds, Leeds, England
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Abstract

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The free surface due to a submerged source in a fluid of finite depth at infinite Froude number is reconsidered. A conformal transformation technique is used to formulate this problem as an integral equation for the free-surface angle. An elementary solution is found for the equation, which results in a closed form expression for the free-surface elevation. Comparison is made with previous numerical solutions.

Type
Research Article
Information
The ANZIAM Journal , Volume 30 , Issue 2 , October 1988 , pp. 147 - 156
Copyright
Copyright © Australian Mathematical Society 1988

References

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