Numerical Simulation of a Thermoacoustic Refrigerator: II. Stratified Flow around the Stack

Aniruddha S. Worlikar*, Omar M. Knio, Rupert Klein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

78 Scopus citations


The unsteady, two-dimensional, thermally stratified flow in the neighborhood of an idealized thermoacoustic stack is analyzed using a low-Mach-number model that extends the adiabatic flow scheme developed in part I (J. Comput. Phys.127, 424 (1996)). The extension consists of 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.

Original languageEnglish (US)
Pages (from-to)299-324
Number of pages26
JournalJournal of Computational Physics
Issue number2
StatePublished - Aug 10 1998
Externally publishedYes


  • Domain decomposition
  • Finite differences
  • Thermoacoustics
  • Vorticity-based methods

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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