By the method of averaging over the ensemble of turbulent flow realizations, the averaged motion and mass balance equations for a solid phase and a flow as a whole are derived. Closed expressions for the second single-point moments of fluctuations of the solid and carrier characteristics are obtained in terms of correlations of the carrier phase velocity fluctuations in a non-homogeneous turbulent flow. Based on these expressions, a set of equations is written for the second single-point moments of the carrier phase velocity fluctuations in the presence of particles. Hydrodynamic analysis is presented for turbulent gas suspension flows in tubes. Comparison with experimental data shows a satisfactory description of the processes of momentum transfer by a particle-laden flow.