Propagation of Forced Plane Compression Waves of Small Amplitude in a Viscous Gas When Radiation Is Taken Into Account

Prokof'ev, V. A.

doi:10.2514/8.5698

Cited by 8 publications

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“…In fact, when effects due to viscosity, thermal conductivity, etc., are discarded and the grey-gas approximation introduced, Prokofyev's characteristic equation (Prokofyev 1960) agrees identically with the characteristic equation that arises in the asymptotic solution found on the basis of the exact expression for E,. The analytical results that Prokofyev gives for large and small values of the various parameters, when also specialized to the present gas model, agree essentially with those obtained here for the modified classical wave.…”

Section: __--mentioning

confidence: 54%

“…So far as the authors are aware, the existing original literature on radiative effects in acoustic propagation is limited to work by Stokes (1851) and by Prokofyev (1957Prokofyev ( , 1960). Stokes's paper, written over 100 years ago, was part of a vigorous controversy then going on in the pages of the Philosophical Magazine with regard to the validityof Laplace's adiabatic theory of sound as against Newton's isothermal theory.…”

Section: Introductionmentioning

confidence: 99%

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Effect of thermal radiation on the propagation of plane acoustic waves

Vincenti

Baldwin

1962

J. Fluid Mech.

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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.

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Section: __--mentioning

confidence: 54%

Section: Introductionmentioning

confidence: 99%