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

Aniruddha S. Worlikar; Omar M. Knio; Rupert Klein

doi:10.1006/jcph.1997.5816

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 journal › Article › peer-review

81 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	299-324
Number of pages	26
Journal	Journal of Computational Physics
Volume	144
Issue number	2
DOIs	https://doi.org/10.1006/jcph.1997.5816
State	Published - Aug 10 1998
Externally published	Yes

Keywords

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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10.1006/jcph.1997.5816

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title = "Numerical Simulation of a Thermoacoustic Refrigerator: II. Stratified Flow around the Stack",

abstract = "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.",

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author = "Worlikar, {Aniruddha S.} and Knio, {Omar M.} and Rupert Klein",

year = "1998",

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doi = "10.1006/jcph.1997.5816",

language = "English (US)",

volume = "144",

pages = "299--324",

journal = "Journal of Computational Physics",

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T1 - Numerical Simulation of a Thermoacoustic Refrigerator

T2 - II. Stratified Flow around the Stack

AU - Worlikar, Aniruddha S.

AU - Knio, Omar M.

AU - Klein, Rupert

PY - 1998/8/10

Y1 - 1998/8/10

N2 - 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.

AB - 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.

KW - Domain decomposition

KW - Finite differences

KW - Thermoacoustics

KW - Vorticity-based methods

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DO - 10.1006/jcph.1997.5816

M3 - Article

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JF - Journal of Computational Physics

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

Abstract

Keywords

ASJC Scopus subject areas

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