In the paper, two-phase turbulent current in the duct is under consideration with implementation of 2D Reynolds Average Navier-Stokes equations (RANS approach) to validate and study manifold processes that may include particle-particle, particle-fluid, particle-wall interactions occurring in the flowfield. Predictions of the model are particle-particle collision accounted by original model of closure of driving equations of dispersed solid phase, particle-fluid interaction determined by Crowe's two-way coupling approach together with the viscous drag force, the lift Magnus and Saffman forces arisen from the motion of inertial rotated particles in non-uniform velocity field of the gas phase and the particle gravitation. The particles slip along the walls while non-slip boundary conditions are set for the gas phase. As numerical calculations show the RANS method reasonably describes velocity of the carrier fluid (gas phase) and velocity of the particles as well as the influence of the solid particles on a distribution of the turbulent energy. The profiles of the particle mass concentration are also presented.