In this paper, the exact solution of stationary dispersed flow in a horizontal pipe under longitudinal temperature gradient and transversal gravity force is obtained. The study of non homogeneous system dynamics is concerned with wide application of dispersed flows in technical, engineering and scientific areas. The Oberbek-Boussinesq approximation is used to describe dispersed convective flow. The model of non homogeneous medium (dusty gas), consisting of viscous gas and continuum of solid spherical particles, is used to describe the dispersed flow. The quantity of motion on the phase interface is determined in accordance with the Stokes’ law. The bulk concentration of dust in a mixture is sufficiently low and the effective viscousity of the mixture is defined by the Einstein formula. The research of heat-mass interchange in dispersed flows is concerned with many practical and technical problems. For example, the numerical study of flow of heat-transfer material in recuperative heat exchange systems, non homogeneous flows in chemical industry etc.