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RESEARCH PAPERS

A Modified Low-Reynolds-Number k-ω Model for Recirculating Flows

[+] Author and Article Information
Shia-Hui Peng

Department of Thermo and Fluid Dynamics, Chalmers University of Technology, S-412 96 Gothenburg, Sweden; Department of Work Organization and Technology, National Institute for Working Life, S-171 84 Solna, Sweden

Lars Davidson

Department of Thermo and Fluid Dynamics, Chalmers University of Technology, S-412 96 Gothenburg, Sweden

Sture Holmberg

Department of Work Organization and Technology, National Institute for Working Life, S-171 84 Solna, Sweden

J. Fluids Eng 119(4), 867-875 (Dec 01, 1997) (9 pages) doi:10.1115/1.2819510 History: Received July 08, 1996; Revised May 05, 1997; Online January 22, 2008

Abstract

A modified form of Wilcox’s low-Reynolds-number k-ω model (Wilcox, 1994) is proposed for predicting recirculating flows. The turbulent diffusion for the specific dissipation rate, ω, is modeled with two parts: a second-order diffusion term and a first-order cross-diffusion term. The model constants are re-established. The damping functions are redevised, which reproduce correct near-wall asymptotic behaviors, and retain the mechanism describing transition as in the original model. The new model is applied to channel flow, backward-facing step flow with a large expansion ratio (H/h = 6), and recirculating flow in a ventilation enclosure. The predictions are considerably improved.

Copyright © 1997 by The American Society of Mechanical Engineers
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