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Numerical simulation of a thermoacoustic refrigerator. II: Stratified flow around the stack. (English) Zbl 0920.76061
Summary: The unsteady, two-dimensional, thermally stratified flow in the neighbourhood of an idealized thermoacoustic stack is analyzed using a low-Mach-number model that extends the adiabatic flow scheme developed in part I [the first two authors, ibid. 127, No. 2, 424-451, Art. No. 0185 (1996; Zbl 0862.76057)]. The extension consists in incorporation of numerical solvers for the energy equations in the fluid and the stack plates, and construction and implementation of fast Poisson solver for the velocity potential based on a domain decomposition/boundary Green’s function technique. The unsteady computations are used to predict the steady-state, acoustically generated temperature gradient across a two-dimensional couple and to analyze its dependence on the amplitude of the prevailing resonant wave. Computed results are compared to theoretical predictions and experimental data. \(\copyright\) Academic Press.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76Q05 Hydro- and aero-acoustics
80A20 Heat and mass transfer, heat flow (MSC2010)
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