This paper presents a nonlinear, time-domain model of thermoacoustic devices based on cross-sectional averaged equations. Heat transfer perpendicular to the device axis—which lies at the core of thermoacoustic effects—is modeled in a novel and more realistic way. Heat conduction in the solid surfaces surrounding the fluid medium is included. Contrary to the previous versions of this model [Watanabe et al., J. Acoust. Soc. Am. 102, 3484–3496 (1997)], the present version does not require artificial damping and is numerically robust. The model performance is illustrated on several examples: a prime mover, an externally driven thermoacoustic refrigerator, and a combined prime mover/refrigerator system.
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September 27 2002
A nonlinear model of thermoacoustic devices
Sergey Karpov, Andrea Prosperetti; A nonlinear model of thermoacoustic devices. J. Acoust. Soc. Am. 1 October 2002; 112 (4): 1431–1444. https://doi.org/10.1121/1.1501277
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