Progressive wave analysis describing wave motions in radiative magnetogasdynamics

Abstract

An asymptotic analysis has been carried out to study the propagation of weak nonlinear waves in radiative magnetofluids. The progressive wave theory has been used to derive an evolution equation governing the propagation of nonlinear waves. It has been solved for high-frequency domain. The solution indicates the possibility of a wave breaking after a finite time tc known as the critical time of shock formation. Effects of the thermal radiation, magnetic field, and the coupling of the thermal radiation with the magnetic field have been studied. The decay behavior of a wave with a sawtooth profile headed by a weak shock front and ending with a weak discontinuity has been investigated. © American Institute of Aeronautics and Astronautics, Inc., 1991, All rights reserved.