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Closed-form solution of the potential flow in a contracted flume

Published online by Cambridge University Press:  06 March 2008

G. BELAUD  and
X. LITRICO
G. BELAUD
Affiliation:
UMR G-EAU, IRD, Maison des Sciences de l'Eau, 300 av. Emile Jeanbrau34095 Montpellier Cedex 5, Francebelaud@msem.univ-montp2.fr
X. LITRICO
Affiliation:
UMR G-EAU, Cemagref, B.P. 5095, 34196 Montpellier Cedex 5, Francexavier.litrico@cemagref.fr
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Abstract

The potential flow upstream from a contraction in a rectangular flume is analysed. In order to calculate the potential function, the flow is considered as the superposition of sinks uniformly distributed in the contraction. The effect of boundaries is taken into account by introducing virtual sinks. The calculation is performed in the complex plane and provides a closed-form solution of the complex potential function. As an illustration, the effect of contraction size and position is analysed, and the solution is compared to experimental measurements and other numerical solutions for vertical sluice gates.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 599 , 25 March 2008 , pp. 299 - 307
Copyright
Copyright © Cambridge University Press 2008

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