An Analytical Study of the Standard k–ε Model

[+] Author and Article Information
N. Takemitsu

Institute of Industrial Science, University of Tokyo, Tokyo 106, Japan

J. Fluids Eng 112(2), 192-198 (Jun 01, 1990) (7 pages) doi:10.1115/1.2909387 History: Received February 26, 1987; Online May 23, 2008


An asymptotic solution of the standard k–ε model for two-dimensional turbulent channel flow is found. Using this solution, five model constants in the model are all determined reasonably with the aid of experimental data. If an asymptotic solution with the logarithmic law as the leading term is sought for, the standard k–ε model is shown to be ill-posed since the second-order solution has divergent terms.

Copyright © 1990 by The American Society of Mechanical Engineers
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