Consistently formulated eddy-viscosity coefficient for k-equation model

Research output: Contribution to journalArticle


Research units

  • Hangzhou Dianzi University


An approach to devising a consistency formulation for Pk/ϵ(production-to-dissipation ratio) is proposed to obtain a non-singular Cμ(coefficient of eddy-viscosity) embedded in the one-equation model based on the turbulent kinetic energy k. The dissipation rate ε is evaluated with an algebraically prescribed length scale having only one adjustable coefficient, accompanied by an anisotropic function qϵ enhancing the dissipation in non-equilibrium flow regions. The model accounts for the distinct effects of low Reynolds number (LRN) and wall proximity. The stress-intensity ratio Rb = u1u2/k is formulated as a function of local variables without resorting to a constant √C* μ= 0.3. The parameters Rb and Pk/ϵ entering the turbulence production Pk prevents presumably the overestimation of Pk in flow regions where non-equilibrium effects could result in a misalignment between turbulent stress and mean strain rate with a linear eddy-viscosity model. A comparative assessment of the present model with the Spalart–Allmaras (SA) one-equation model and the shear stress transport (SST) k–ω model is provided for well-documented simple and non-equilibrium turbulent flows. Finally, the current model provides a proposal to compute free shear flows.


Original languageEnglish
Pages (from-to)959-994
Number of pages36
Issue number11-12
Publication statusPublished - 1 Jan 2019
MoE publication typeA1 Journal article-refereed

    Research areas

  • coefficient of eddy-viscosity, cubic equation, k-equation model, production-to-dissipation ratio, turbulence anisotropy, REYNOLDS-STRESS, ARTIFICIAL COMPRESSIBILITY METHOD, TURBULENCE, FLOWS, EXPLICIT, HOT-WIRE, EPSILON

ID: 32090812