On Propagation of One Dimensional Small Amplitude Waves in Radiating Viscous and Heat Conducting Gas

Abstract

"In this paper, effect of radiation, heat-conduction and viscosity on propagation of one-dimensional small amplitude waves is investigated. It is shown that there are three distinct modes of propagation viz. (i) Radiation-induced mode, (ii) Modified gasdynamic mode and (iii) Coupled heat-conduction and viscous mode. The dispersion relation is solved both asymptotically and numerically. For very small values of omega, the asymptotic solution predicts the speed of propagation of distriubance as zero, as (isentropic sound velocity) and 0.336 times the isothermal sound velocity. For very large values of omega, the high frequency waves propagate with characteristic speeds of the seventh order operation. "