Cylindrical shock wave propagation in a self-gravitating rotational axisymmetric perfect gas under the influence of azimuthal or axial magnetic field and monochromatic radiation with variable density

The propagation of cylindrical shock wave generated by a moving piston in a self-gravitating perfect gas in the presence of axial or azimuthal magnetic field with monochromatic radiation in rotating medium is investigated. The gravitational effect of the gas is taken into consideration. It is considered that the radiation flux moves through electrically conducting self-gravitating perfect gas with variable density and the energy is absorbed only behind the shock which moves in the direction appositive to the radiation flux. The results are discussed by comparing self-gravitating and non-gravitating gas, rotating and non-rotating medium, with or without magnetic field. The effects of variations of Alfven–Mach number, rotational parameter, gravitational parameter, adiabatic exponent and variation of piston velocity index are discussed in detail. The increase in magnetic field strength, adiabatic exponent and gravitational parameter have decaying effect on shock wave. It is shown that the shock wave is stronger with axial magnetic field and weaker with azimuthal magnetic field.