| Abstract: | A two-phase medium with a carrier phase in the form of an incompressible electrically neutral fluid and a dispersed phase in the form of inertial charged particles flows past an electrically charged sphere. It is assumed that the electrohydrodynamic interaction parameter is insignificant and that the flow conditions correspond to potential unseparated flow of the carrier medium over the sphere. The motion of the dispersed phase is described by continuum dynamic equations incorporating the electric field, which is the sum of the external field created by the sphere and the field induced by the dispersed particles. The electric field is determined by means of the equations of electrodynamics, which must be considered together with the dynamic equations. In the case considered a large electrostatic potential is applied to the sphere. This prevents the particles striking the surface of the sphere and leads to the intersection of the particle trajectories. In order to solve this problem within the framework of the two-velocity continuum we introduce a surface of discontinuity of the parameters to replace the zone of multiphase flow. The location of the surface of discontinuity, the distribution of the velocity and density of the dispersed phase and the distribution of electrostatic potential are found as a result of solving a system of elliptic and hyperbolic equations in two regions separated by the surface of discontinuity. The results of numerically integrating the system of equations formulated are presented.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 90–95, March–April, 1987. |
