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Flow in alluvial-river curves

Published online by Cambridge University Press:  20 April 2006

Marco Falcón Ascanio  and
John F. Kennedy
Marco Falcón Ascanio
Affiliation:
Instituto de Mecanica de Fluidos, Facultad de Ingenieria, Universidad Central de Venezuela, Caracas, Venezuela
John F. Kennedy
Affiliation:
Institute of Hydraulic Research, The University of Iowa, Iowa City, U.S.A.
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Abstract

Uniform flow in curved, wide, erodible-bed channels is formulated on the basis of the conservation of flux of moment-of-momentum, to obtain relations for the vertical distributions of radial-plane velocity and radial shear stress. The expression for the radial stress exerted on the bed is utilized in a force-equilibrium analysis of the moving bed layer to obtain relations for the average transverse slope of the bed and for the radial bed profile. The reduction of primary bed shear stress due to the net radial transport of streamwise momentum toward the outer (concave) bank is then calculated, by introducing the derived expressions for the velocity components into the momentum equation for the primary-flow direction. It is found that the stress reductions in deep, narrow channels can exceed 50%. Bed profiles and velocity distributions measured in natural and laboratory streams are found to be in good conformity with those calculated from this moment-based theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 133 , August 1983 , pp. 1 - 16
Copyright
© 1983 Cambridge University Press

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