Similarity solution for one dimensional motion of a magnetized self-gravitating gas with variable density under the absorption of monochromatic radiation

Abstract

Abstract The impendence of azimuthal or axial magnetism in one-dimensional shock wave prevalence via a gas with monochromatic radiation for cylindrical and spherical geometry is examined. The travelling piston supplies the varying input of energy continuously and conditions of equilibrium flow through the whole field are retained. A regime of ODEs is derived by means of the regime of governing motion’s equations using the similarity process. The distributions of gas-dynamical quantities, obtained by their numerical integration, are discussed through figures. It is observed that the adiabatic index and the impendence of magnetism, as well as gravitation, lessen the shock intensity, however, the initial density variation index has the opposite behaviour on it.