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Efflux from a slit in a vertical wall

Published online by Cambridge University Press:  21 April 2006

E. O. Tuck
E. O. Tuck
Affiliation:
Department of Applied Mathematics, University of Adelaide, GPO Box 498, Adelaide, SA 5001, Australia
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Abstract

A numerical solution is provided for flow of a stream of water falling under gravity after emerging from a simple slit orifice in a vertical wall. The classical free-streamline flow with contraction coefficient 0.611 applies in the absence of gravity, or as F → ∞, where F is the Froude number based on the net volume flux and the slit width. We assume here that F is finite, but find that the flow exists only for F [ges ] 0.496, with initial backflow at the upper stream surface for 0.496 [les ] F [les ] 0.578. The limiting flow at F = 0.496 has a stagnation point at the upper edge.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 253 - 264
Copyright
© 1987 Cambridge University Press

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