Thermoacoustics of traveling waves: Theoretical analysis for an inviscid ideal gas

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Abstract
Standard thermoacoustic sources and refrigerators have the stack placed near one end in a standing wave tube. This selection of the stack position optimizes the thermoacoustic effect. For certain applications, however, the effect of a thermoacoustic stack on a traveling wave is of primary interest. Equations governing wave propagation through a stack analogous to the short stack approximation of standing wave thermoacoustics have been derived for an ideal gas. When the wave propagates in the direction of increasing temperature, the wave is amplified by an amount dependent upon the temperature gradient. Waves propagating in the opposite direction are attenuated. Counterpropagating waves in a standing wave tube encounter both. In this case, the results reduce to those developed earlier by Swift [J. Acoust. Soc. Am. 84, 1145–1180 (1988)] and others.

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