A Simplified Model for Linear and Nonlinear Processes in Thermoacoustic Prime Movers. Part II. Numerical Method and Comparison with Experiment

H. Yuan, S. Karpov and A. Prosperetti

Department of Mechanical Engineering
The Johns Hopkins University
Baltimore MD 21218



ABSTRACT: The simplified quasi-one-dimensional model of thermoacoustic devices formulated in Part I ( Watanabe, Prosperetti, and Yuan, J. Acoust. Soc. Am., submitted) is studied in the nonlinear regime. A suitable numerical method is developed which is shown to be able to deal with the quasi-shock waves that develop in the system without inducing spurious oscillations, damping, or numerical diffusion. The results are compared with some experimental ones available in the literature. Several of the observed phenomena are accurately reproduced by the model. Quantitative agreement is also good when a reasonable allowance is made for likely temperature non-uniformities across the heat exchangers. *** The sensitivity of the model to the input parameters and the effect of variations in the cross section are also briefly considered.



J. Acoust. Soc. Am. 102, 3497-3506, 1997


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