Generalized Inner Region Velocity Distribution Equation
Publication: Journal of Hydraulic Engineering
Volume 119, Issue 5
Abstract
The inner layer of a turbulent boundary layer consists of a linear layer in which the velocity distribution is linear, the log‐law region having a logarithmic velocity distribution and a buffer layer lying in between them. Separate equations are available for the linear layer and the log‐law region. The available inner region equations pertain to flow over smooth boundary and they are explicit (containing involved expressions) or implicit. No equation is available that includes the effect of roughness. Presented herein is a generalized equation for velocity distribution in the inner law region of a turbulent boundary layer. The equation includes linear and logarithmic velocity distributions and it is valid for hydraulically smooth and rough boundaries and the transition range in between.
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References
1.
Cibeci, T., and Smith, A. M. O. (1974). Analysis of turbulent boundary layers. Academic Press, New York, N.Y.
2.
Reichardt, H. (1951). “Complete representation of turbulent velocity distribution in smooth pipes.” Z. Angew. Math. Mech., 31(7), 208–219.
3.
Rouse, H. (1946). Elementary mechanics of fluids. John Wiley and Sons, Inc., New York, N.Y.
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Schlichting, H. (1979). Boundary layer theory. 7th Ed., McGraw‐Hill Book Co. Inc., New York, N.Y.
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White, F. M. (1974). Viscous fluid flow. McGraw‐Hill Book Co. Inc., New York, N.Y.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 119 • Issue 5 • May 1993
Pages: 651 - 656
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Apr 29, 1991
Published online: May 1, 1993
Published in print: May 1993
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