The linear k-#epsilon# model, in its different formulations, still remains the most widely used turbulence model for the solutions of ICE flows thanks to the use of only two scale-determining transport variables and the simple constitutive relation. This paper discusses the application of non-linear k-#epsilon# turbulence models for internal combustion engine flows. Motivations to non-linear eddy viscosity models use arise from the consideration that such models combine the simplicity of linear eddy-viscosity models with the predictive properties of second moment closure. In this research the non-linear k-#epsilon# models developed by Speziale (1987), in quadratic expansion, and Leschziner (1998), in cubic expansion, have been applied to a practical tumble flow. Comparisons between calculated and measured mean velocity components and turbulence intensity were performed for simple flow structure case. The effects of quadratic and cubic formulations on nmerical predictions were investigated too, with particular emphasis on anisotropy and streamline curvature.
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