Development of a nonlinear near-wall turbulence model for turbulent flow and heat transfer

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A new nonlinear near-wall turbulence model is developed on the basis of realizability constraints to predict turbulent flow and heat transfer in strongly nonequilibrium flows. The linear k-epsilon-f(mu) model of Park and Sung (Fluid Dyn. Res., 20 (1997) 97) is extended to a nonlinear formulation. The stress-strain relationship is derived from the Cayley-Hamilton theorem in a homogeneous flow. The ratio of production to dissipation (P-k/epsilon) is employed to solve an algebraic equation of the strain dependent coefficients. A near-wall treatment is dealt with by reproducing the model coefficients from a modified strain variable. An improved explicit heat flux model is proposed with the aid of Cayley-Hamilton theorem, which includes the quadratic effects of flow deformations. The near-wall asymptotic behavior is incorporated by modifying the f(lambda) function. Emphasis is placed on the model performance on the, truncated strain terms. The model performance is shown to be generally satisfactory. (C) 2002 Elsevier Science Inc. All rights reserved.
Publisher
ELSEVIER SCIENCE INC
Issue Date
2003-02
Language
English
Article Type
Article
Keywords

DIRECT NUMERICAL-SIMULATION; REYNOLDS STRESS MODEL; K-EPSILON MODEL; REATTACHING FLOWS; PASSIVE SCALAR; CHANNEL FLOW; EXPLICIT; FIELD; FLUX

Citation

INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, v.24, no.1, pp.29 - 40

ISSN
0142-727X
URI
http://hdl.handle.net/10203/10381
Appears in Collection
ME-Journal Papers(저널논문)
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