The influence of magnetic and gravitational fields in a non-ideal dusty gas with heat conduction and radiation heat flux

While the similarity methods through shock waves are spaciously explored in a dust-filled gas, the implications of magnetism and gravity in a dust-filled non-ideal gas, considering thermal conduction as well as radiation flux, were not addressed before. This document is about the self-similar flow solutions originated via a travelling piston in a dust-filled non-ideal gas considering increasing energy, gravity field, variable magnetic (axial or azimuthal) field, thermal conduction, and radiation flux. It has been established that the magnetic field existence has an emaciating impact on the strength of the shock. The compression of the media is lessened by a growth of the gravitational factor at every location in the flow zone behind the shock. The non-ideal nature of gas allows shock intensity to decrease and enlarges the extent between the piston and the shock. It is worthwhile noting that the pressure and density, in the piston, dissipate in the existence of an azimuthal magnetic field; and thus the vacuum forms at the centre of symmetry that is in perfect accordance under the environment of laboratories to generate the shock wave.