Eddy Viscosity Transport Equations and Their Relation to the k-ε Model

[+] Author and Article Information
F. R. Menter

Development Department, AEA Technology GmbH, Staudenfeldweg, 83624 Otterfing, Germany

J. Fluids Eng 119(4), 876-884 (Dec 01, 1997) (9 pages) doi:10.1115/1.2819511 History: Received December 18, 1996; Revised July 08, 1997; Online January 22, 2008


A formalism will be presented which allows transforming two-equation eddy viscosity turbulence models into one-equation models. The transformation is based on Bradshaw’s assumption that the turbulent shear stress is proportional to the turbulent kinetic energy. This assumption is supported by experimental evidence for a large number of boundary layer flows and has led to improved predictions when incorporated into two-equation models of turbulence. Based on it, a new one-equation turbulence model will be derived from the k-ε model. The model will be tested against the one-equation model of Baldwin and Barth, which is also derived from the k-ε model (plus additional assumptions) and against its parent two-equation model. It will be shown that the assumptions involved in the derivation of the Baldwin-Barth model cause significant problems at the edge of a turbulent layer.

Copyright © 1997 by The American Society of Mechanical Engineers
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