The progressive wave analysis describing wave motions in radiative magneto-gasdynamics

Abstract

Using the theory of progressive waves, an asymptotic analysis is carried out to study the propagation of weak nonlinear waves in a radiative magneto-fluids. Evolution equation, governing the propagation of the waves, have been derived and in high frequency domain, The solution of the evolution equation in high frequency domain indicates the possibility of a wave breaking after a finite time Tc known as the critical time of shock formation. Effects of the termal radiation, magnetic field and the coupling of the thermal radiation with the magnetic field on the decay behavior of a saw-tooth profile headed by a weak shock front and ending with a weak discontinuity have been investigated. © 1989 American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.