Self-similar flow of a non-ideal gas with increasing energy behind a magnetogasdynamic shock wave under a gravitational field

A self-similar solution for the propagation of a spherical shock wave in a non-ideal gas in the presence of an azimuthal magnetic field is investigated. The medium is assumed to be under a gravitational field due to a heavy nucleus at the origin(Roche Model). The unsteady model of Roche consists of a gas distributed with spherical symmetry around the nucleus having a large mass. It is assumed that the gravitational effect of the medium itself can be neglected compared with the attraction of the heavy nucleus. The total energy of the flow-field behind the shock is supposed to be increasing with time. Similarity solutions are obtained, and the effects of variation of the parameter of non-idealness of the gas, the shock-Mach number and the Alfven-Mach number on the flow-field behind the shock are investigated.