Magnetogasdynamic shock waves generated by a piston moving in a non-uniform self-gravitating rotational axisymmetric gas in the presence of conductive and radiative heat fluxes

Nath Gorakh, gn_chaurasia_univgkp@yahoo.in, National institute of Technology, Raipur, India

Abstract
Self-similar solutions are obtained for one-dimensional adiabatic flow behind a magnetogasdynamic cylindrical shock wave propagating in a rotational axisymmetric perfect gas with self-gravitational effects, conductive and radiative heat fluxes, in presence of an azimuthal magnetic field. The fluid velocities, the initial density and the azimuthal magnetic field in the ambient medium are assumed to varying and obeying power laws. In order to obtain the similarity solutions, the angular velocity of the ambient medium is taken to be decreasing as the distance from the axis increases. The heat conduction is expressed in terms of Fourier’s law and the radiation is considered to be of the diffusion type for an optically thick grey gas model. The thermal conductivity and the absorption coefficient are assumed to vary with temperature and density. The variation of initial density exponent (or piston velocity exponent), the effects of the presence of radiation and conduction, the presence of self-gravitational field or the rotating medium, the magnetic field on the shock propagation and the flow behind the shock are investigated.