Comparison of two-equation model and reynolds stress models with experimental data for the three-dimensional turbulent boundary layer in a 30 degree bend

Abstract

The objective of the present study is to investigate the pressure-strain correlation terms of the Reynolds stress models for the three dimensional turbulent boundary layer in a 30° bend tunnel. The numerical results obtained by models of Launder, Reece and Rodi (LRR), Fu and Speziale, Sarkar and Gatski (SSG) for the pressure-strain correlation terms are compared against experimental data and the calculated results from the standard k-e model. The governing equations are discretized by the finite volume method and SIMPLE algorithm is used to calculate the presure field. The results show that the models of LRR and SSG predict the anisotropy of turbulent structure better than the standard k-e model. Also, the results obtained from the LRR and SSG models are in better agreement with the experimental data than those of the Fu and standard k-e models with regard to turbulent normal stresses. Nevertheless, LRR and SSG models do not effectively predict pressure-strain redistribution terms in the inner layer because the pressure-strain terms are based on the locally homogeneous approximation. Therefore, to give better predictions of the pressure-strain terms, non-local effects should be considered.