Shock wave propagation in perfectly conducting rotational axisymmetric two-phase medium with increasing energy under the action of heat conduction and radiation heat flux

The distribution of divergent cylindrical shock waves, under the effect of the variable azimuthal or axial magnetic field in space, in a perfectly conducting rotational axisymmetric dusty gas is studied. The profiles of the fluid variables were determined using numerical estimation. The effects of changing the piston velocity index, rotational parameter, and Shock Cowling number are studied. The result is that pressure and density disappear in the piston, and then the vacuum is produced at the axis of symmetry, which is perfectly in conformity with the conditions for producing a shock wave in the laboratory when the azimuthal magnetic field is present.