SIMILARITY SOLUTION FOR THE FLOW BEHIND A MAGNETOGASDYNAMIC EXPONENTIAL SHOCK WAVE IN A PERFECT GAS WITH VARYING DENSITY, HEAT CONDUCTION, AND RADIATION HEAT FLUX

Similarity solutions are obtained for the propagation of a shock wave driven by a piston moving with time dependence according to an exponential law in a perfect gas with azimuthal magnetic field as well as with conduction and radiation heat fluxes. Heat conduction is described by the Fourier law, and radiation is considered to be of diffusion type for the optically thick grey gas model. The thermal conductivity and absorption coefficient are assumed to vary with temperature and density. The density and magnetic field strength ahead of the shock front are assumed to vary exponentially. The effects of the variations in the strength of the ambient magnetic field, heat transfer parameters, adiabatic exponent, and in the ambient density variation index on the flow field characteristics are studied. The shock strength is shown to be independent of the heat transfer parameters. The medium compressibility increases in the absence of a magnetic field.