The model for the two-component limit (TCL) for the differential second-moment (DSM) Reynolds-stress turbulence closure of Sajjadi et al. [7] is extended to include transport equations for the dissipation rates  The new model is derived through a two-point correlation DSM model. The results of the old closure model, i.e., TCL, and the new closure scheme are compared with direct numerical simulation data (DNS) at two Reynolds number  and  Also, the results from both models are compared for a flow over a hill that was previously studied by Sajjadi et al. [7] using the TCL scheme. It is demonstrated that a much closer agreement with DNS data is achieved using the newly developed model. Additionally, the turbulent budgets for Reynolds stresses and triple velocity correlations for the new model are presented. Moreover, a closure model for velocity and concentration correlation in two phase flows such as sediment transport, or analogously heat transport, is derived.

turbulence model, two-point correlations, Reynolds-averaged, channel flow.