A Dissipation Rate Equation for Low-Reynolds-Number and Near-Wall Turbulence |
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Authors: | RMC So A Sarkar G Gerodimos J Zhang |
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Institution: | (1) Mechanical Engineering Department, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, HK;(2) Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106, U.S.A., US |
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Abstract: | Two-equation turbulence models are usually formulated for specific flow types and are seldom validated against a variety of
flows to account for near-wall and low-Reynolds-number effects simultaneously. In addition to low-Reynolds-number effects,
near-wall flows also experience wall blocking, which is absent in free flows. Consequently, near-wall modifications to two-equation
models could be quite different from low-Reynolds-number corrections. Besides, it is known that existing two-equation models
perform poorly when used to calculate plane wall jets and two-dimensional backstep flows. These problems could be traced to
the modeling of the dissipation rate equation. In this paper an attempt is made to improve the modeling of the dissipation
rate equation so that it could successfully predict both free and wall-bounded shear flows including plane wall jets and backstep
flows. The predictions are compared with experimental and direct numerical simulation data whenever available. Most of the
data used are obtained at low Reynolds numbers. Good correlation with data is obtained. Therefore, for the first time, a model
capable of correctly predicting free and wall-bounded shear flows, backstep flows, and plane wall jets is available.
Received: 12 December 1995 and accepted 12 November 1996 |
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Keywords: | PACS: |
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