Evaluating k-epsilon with One-Equation Turbulence Model

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Date
2013
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Mcode
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Language
en
Pages
11
206-216
Series
Proceedings of the 5th BSME International Conference on Thermal Engineering 21-23 December, 2012, Dhaka, Bangladesh, Procedia Engineering, Volume 56
Abstract
An extended version of the isotropic one-equation model is proposed to account for the distinct effects of low-Reynolds number (LRN) and wall proximity. The turbulent kinetic energy k and the dissipation rate epsilon are evaluated using the R (= k(2) / (epsilon) over tilde) transport equation together with some empirical relations. The eddy viscosity formulation maintains the positivity of normal Reynolds stresses and the Schwarz' inequality for turbulent shear stresses. The model coefficients/functions preserve the anisotropic characteristics of turbulence in the sense that they are sensitized to rotational and nonequilibrium flows. The model is validated against a well-documented flow case, yielding predictions in good agreement with the direct numerical simulation (DNS) data. Comparisons indicate that the present model offers some improvement over the Spalart-Allmaras one-equation model.
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Keywords
One-equation model, turbulence anisotropy, realizability, nonequilibrium flow, ARTIFICIAL COMPRESSIBILITY METHOD, WALL-BOUNDED FLOWS, NUMBER FLOWS, STRESS
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Citation
Rahman , M M , Meriläinen , A , Islam , A K M S & Lampinen , M J 2013 , Evaluating k-epsilon with One-Equation Turbulence Model . in AKMS Islam , R Amin & M Ali (eds) , Proceedings of the 5th BSME International Conference on Thermal Engineering 21-23 December, 2012, Dhaka, Bangladesh . Procedia Engineering , vol. 56 , Elsevier , pp. 206-216 , BSME International Conference on Thermal Engineering , Dhaka , Bangladesh , 21/12/2012 . https://doi.org/10.1016/j.proeng.2013.03.109