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A laminar roughness boundary condition

Published online by Cambridge University Press:  26 April 2006

E. O. Tuck  and
A. Kouzoubov
E. O. Tuck
Affiliation:
Applied Mathematics Department, The University of Adelaide, Australia 5005
A. Kouzoubov
Affiliation:
Applied Mathematics Department, The University of Adelaide, Australia 5005 Present address: Centre for Advanced Numerical Computation in Engineering and Science, The University of NSW, Australia 2052.
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Abstract

A modified slip boundary condition is obtained to represent the effects of small roughness-like perturbations to an otherwise-plane fixed wall which is acting as a boundary to steady laminar flow of a viscous fluid. In its simplest form, for low local Reynolds number and small roughness slope, this boundary condition involves a constant apparent backflow at the mean surface or, equivalently, represents a shift of the apparent plane boundary toward the flow domain. Extensions of the theory are also made to include finite local Reynolds number and finite roughness slope.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 300 , 10 October 1995 , pp. 59 - 70
Copyright
© 1995 Cambridge University Press

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