Research Article
Dec 1973
Flow in Open Channels with Smooth Curved Boundaries
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 99, Issue 12
Abstract
The proposed method of solution is manifested by application to an example, the potential flow over a smooth step in an open channel. A detailed description of the flow is given by a pair of integro-differential equations in the free-surface and solid-boundary elevations, derived from the solution of a boundary-value problem of the Dirichlet type in an infinite strip in the complex potential plane. The use of numerical approximations to both the derivatives and integrals in the integro-differential equations leads to a system of simultaneous nonlinear algebraic equations, and this is then solved by a special method of successive approximation. Solutions are obtained for the approach Froude number, F = 0.4 and 1.7. The computed output consists of the geometry of the free surface, the flow net within, and velocity components and pressure at any point in the flow.
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Published In
Journal of the Hydraulics Division
Volume 99 • Issue 12 • December 1973
Pages: 2217 - 2232
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Dec 1973
Published online: Feb 3, 2021
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Authors
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Mohammad S. Moayeri, AM.ASCE
Assoc. Prof. of Engrg., Pahlavi Univ., Shiraz, Iran
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.