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A laminar roughness boundary condition

1995; Cambridge University Press; Volume: 300; Linguagem: Inglês

10.1017/s0022112095003600

1469-7645

E. O. Tuck, Alexei Kouzoubov,

Fluid Dynamics and Vibration Analysis

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.