Physical, mathematical and numerical models of interaction of the fluxes of the colliding and non-colliding plasma with the bodies included in them are considered.. Extensive computational experiments have been conducted, as a result of which the functions of the distribution of charged particles in the frontal, lateral and shadow regions of streamlined bodies are obtained; the distribution of the concentrations of charged particles; profiles of self-consistent electric fields. The influence of the directional velocity, external magnetic field, characteristic size and potential of the body on the electrodynamic parameters of the flow perturbed by the body. Among the technical applications are studies of the parameters of the near track of the satellite and hypersonic aircraft, as well as methods of probe diagnostics of plasma fluxes .. It is intended for researchers, teachers, graduate students and students in the field of physics and electrodynamics of plasma fluxes, computational physics, aerospace engineering, probe diagnostics.