Blast waves in a non-ideal self-gravitating gas with magnetic field

Abstract

The propagation of the blast wave in self-gravitating non-ideal gas under the influence of axial magnetic field is investigated. The magnetic pressure and density are considered to be varying according to the power law. The approximate analytical solutions are obtained by expanding the flow variables in the form of power series using Sakurai’s technique. The zeroth- and first-order approximate solutions of self-gravitating non-ideal gas with magnetic field are discussed in detail. Solutions for zeroth-order approximation are constructed in analytical form. The effect of the flow parameters, namely parameter of non-idealness, adiabatic exponent, ambient density variation exponent and gravitational parameter on the flow variables, is discussed in detail. The results obtained in this work are compared with the results obtained by Sakurai and Nath, which are in good agreement