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On inviscid flow in a waterfall

Published online by Cambridge University Press:  20 April 2006

P. M. Naghdi
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley
M. B. Rubin
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley

Abstract

A nonlinear steady state solution is obtained for an incompressible, inviscid fluid in a waterfall under the action of gravity, using a special case of the system of differential equations of a recent theory of fluid sheets derived by a direct approach. This analytical solution has a simple form and offers some advantages over previous solutions of the problem either by asymptotic techniques or by numerical procedures. A comparison with experimental results is also indicated.

Type
Research Article
Copyright
© 1981 Cambridge University Press

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