Magnetohydrodynamic combustion waves in aligned fields

Abstract

Steady magnetohydrodynamic combustion waves for a perfectly conducting, electrically neutral perfect gas in an aligned field are examined in phase space, taking into account the effects of viscosity and the thermal conduction as transport processes. Steady defiagration does not exist. Conditions to be satisfied by the initial and final states of detonation waves are derived, which may include an extension of the evolutionarity condition and the Taniuti—Resler relation to shock waves with finite width and energy release. A constraint on the shock wave is given in a conservation form. The exact solution of the final state is also given in such a way that it depends linearly on the energy supply, and may be classified completely by means of the parameters of the solution itself.