A shear stress transport incorporated elliptic blending turbulence model applied to near-wall, separated and impinging jet flows and heat transfer

Abstract

An elliptic blending turbulence model, integrating the Shear Stress Transport (SST) characteristics in boundary layer together, is developed and validated. This model consists of four governing equations which have the same forms as those used in our previous k-ω-φ-α model (belonging to the elliptic blending turbulence models). The major improvement is that, a new turbulent viscosity definition is constructed which inherits the advantages of the elliptic blending turbulence models and the SST turbulence models. The new model is applied to near-wall, separated and impinging jet flows and associated heat transfer problems. The results are compared with experimental and DNS data. Comparisons with the results of using the previously developed k-ω-φ-α model and the Menter's SST k-ω model are also carried out. It is shown that the current new model has similar behaviors with the previously developed k-ω-φ-α model for the near wall flow and heat transfer problems. For separated and impinging jet flows and the associated heat transfer problems, the current new model yields better results than the SST k-ω model and our previous k-ω-φ-α model.