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Effect of thermal radiation on the propagation of plane acoustic waves

Published online by Cambridge University Press:  28 March 2006

Walter G. Vincenti  and
Barrett S. Baldwin
Walter G. Vincenti
Affiliation:
Department of Aeronautical Engineering, Stanford University, Stanford, California
Barrett S. Baldwin
Affiliation:
Department of Aeronautical Engineering, Stanford University and Ames Research Center, NASA, Moffett Field, California
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Abstract

A study is made of the propagation of acoustic waves in a semi-infinite expanse of radiating gas on one side of an infinite, plane, radiating wall. A solution is found, in particular, for the case of sinusoidal oscillations in both position and temperature of the wall. The solution is based on a single linear integro-differential equation that plays the same role here as does the classical wave equation in equilibrium acoustic theory. The solution is applicable throughout the range from a completely transparent to a completely opaque gas and from very low to very high temperatures. The solution appears, in general, as the sum of two types of travelling waves: (1) an essentially classical sound-wave, but with a slightly altered speed and a small amount of damping and (2) a radiation-induced wave whose speed and damping may be either large or small, depending on the temperature and absorptivity of the gas. Since the waves are coupled, both types will usually be present together, even in the special cases of pure motion or pure temperature variation of the wall.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 12 , Issue 3 , March 1962 , pp. 449 - 477
Copyright
© 1962 Cambridge University Press

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