A laminar roughness boundary condition
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Date
1995
Authors
Tuck, E. O.
Kouzoubov, A.
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Journal of Fluid Mechanics, 1995; 300:59-70
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E. O. Tuck and A. Kouzoubov
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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.
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Copyright © 1995 Cambridge University Press