The propagation of small disturbances in radiative magnetogasdynamics

Summary The non-linearised equations of flow for a perfectly electrically conducting and thermally radiating inviscid gas are analysed using the differential approximation for a grey gas of arbitrary opacity including effects of radiative flux, pressure and energy density. The speeds of propagation of weak discontinuities are established with oblique magnetic field, together with the jump relations for the derivatives of the field variables. For the special case of one-dimensional flows with planar, cylindrical or spherical symmetry the compatibility conditions on the characteristic surfaces associated with the wavefronts are explicitly determined.