Nonlinear algebraic model of the Reynolds stresses for a disperse turbulent flow with low-inertia particles

The purpose of the study is to present an explicit self-consistent algebraic model of the Reynolds stresses (nonlinear turbulent viscosity) for calculating two-phase flows laden with small heavy particles. The model is tested by means of comparing with the results of the solution of a system of differential equations for all components of the Reynolds stresses and the data of direct numerical calculations in a homogeneous shear flow with particles.