Accession Number : AD0613462

Title :   EFFECT OF RADIATIVE TRANSFER ON A SOUND WAVE TRAVELING IN GAS HAVING A RATIO OF SPECIFIC HEAT NEAR ONE,

Corporate Author : CORNELL AERONAUTICAL LAB INC BUFFALO N Y

Personal Author(s) : Moore,F. K.

Report Date : FEB 1965

Pagination or Media Count : 45

Abstract : It is shown that the assumption of specific heat ratio near one simplifies the analysis of plane sound waves subject to energy addition dependent on temperature, and in the case of radiative energy exchange in a fairly transparent gas, a third-order differential equation is obtained. Analytical solutions for a hot and acool gas are presented which give the complete history of velocity and temperature profiles when a wave is produced by an impulsively started piston, with either a black or reflecting face. In a very hot gas, an optically thin wave which is thermally dominated by the piston face (or the undisturbed gas, if the face is perfectly reflecting) disperses as though by relaxation and is followed by an optically thick wave which is thermally independent of the piston and disperses as though by conduction. Transition between thin and thick waves is accomplished in a temperature boundary layer. In a cool gas, dispersion occurs as though by simple radiative heat conduction. Dispersion in a transparent gas would be observed on the scale of a meter only if the gas is very hot. (Author)

Descriptors :   (*THERMAL RADIATION, HEAT TRANSFER), (*GASES, DISSOCIATION), (*ACOUSTICS, PROPAGATION), DIFFERENTIAL EQUATIONS, PISTONS, MOTION, TEMPERATURE, ENTHALPY, ONE DIMENSIONAL FLOW, SPECIFIC HEAT, CONDUCTIVITY, BOUNDARY LAYER, VELOCITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE