This paper presents a self-consistent mathematical model of the dynamics of an electrically charged dusty medium. The carrier medium was described as a viscous, compressible and heat-conducting gas. The simulated flow is self-consistent, the parameters of each of the mixture components are determined by changing the parameters of other components. The mathematical model took into account intercomponent momentum exchange and heat transfer between the dispersed component of the mixture and the gas. The equations of the mathematical model are supplemented with boundary conditions. The mixture dynamics equations and the Poisson equation describing the electric field were solved by a numerical finite-difference method. The channel is divided into two parts, in one part of the channel there is a homogeneous gas, in the other part of the channel there is a gas containing electrically charged particles. Under the action of an electric field, the particles of the disperse component begin to move, and a gas flow is formed. This paper presents the results of calculations of the physical fields of an electrically charged dispersed suspension.