Analytical Solution of Two Gradient-Diffusion Models Applied to Turbulent Couette Flow

[+] Author and Article Information
F. S. Henry, A. J. Reynolds

Department of Mechanical Engineering, Brunel University, Uxbridge, Middlesex, England

J. Fluids Eng 106(2), 211-216 (Jun 01, 1984) (6 pages) doi:10.1115/1.3243104 History: Received June 30, 1983; Online October 26, 2009


Two widely used gradient-diffusion models of turbulence, when applied to fully-developed Couette flow, are shown to reduce to a set of equations that can be solved analytically. The solutions reveal that both models predict the turbulence kinetic energy to be constant across the entire central region in which the modeling is applied. The implications for the prediction of velocity and eddy viscosity are explored. It is found that the point at which the model equations are matched to the near-wall boundary conditions is an important parameter of the solution.

Copyright © 1984 by ASME
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