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The effect of eddy viscosity on the velocity profile of steady flow in a uniform rough channel

Published online by Cambridge University Press:  28 March 2006

S. M. A. Haque
S. M. A. Haque
Affiliation:
Department of Mathematics, University of Manchester[dagger]
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Abstract

The equation of motion is derived for the steady flow under gravity of a liquid in a uniform channel, including the effects of the friction of the bed and of the eddy viscosity for lateral mixing. The equation is solved to find the distribution of mean velocity across the channel when the cross-section is rectangular, triangular or trapezoidal. Numerical values are also given to indicate the extent to which eddy viscosity may affect the lateral distribution of mean velocity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 5 , Issue 2 , February 1959 , pp. 310 - 316
Copyright
© 1959 Cambridge University Press

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References

Milne-Thomson, L. M. 1950 Jacobian Elliptic Function Tables. New York: Dover.
Rouse, H. 1938 Fluid Mechanics for Hydraulic Engineers. New York: McGraw Hill.
Schlichting, H. 1955 Boundary Layer Theory. London: Pergamon.
Stoker, J. J. 1957 Water Waves. New York: Interscience.