Analytical determination of oscillating frequencies and onset temperatures of standing wave thermoacoustic heat engines

•Onset of simple standing wave thermoacoustic engines is focused.•A method to determine the frequencies and onset temperatures is developed.•Influences of geometric and operational parameters on eigenvalues are studied.•Effect of using binary mixtures of H2, He, N2 and Ar on eigenvalues is studied....

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Bibliographic Details
Published in:International journal of heat and mass transfer 2016-07, Vol.98, p.401-414
Main Authors: Boroujerdi, A.A., Ziabasharhagh, M.
Format: Article
Language:English
Subjects:
Binary gas mixture
Eigenvalues
Mass transfer
Mathematical analysis
Onset temperature
Oscillating
Oscillating frequency
Parallel plate stack
Stacks
Standing wave
Standing waves
Thermoacoustic engine
Thermoacoustic heat engines
Thermoacoustics
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Summary:•Onset of simple standing wave thermoacoustic engines is focused.•A method to determine the frequencies and onset temperatures is developed.•Influences of geometric and operational parameters on eigenvalues are studied.•Effect of using binary mixtures of H2, He, N2 and Ar on eigenvalues is studied. This paper determines analytically the oscillating frequency and onset temperature of a simple standing wave thermoacoustic heat engine as eigenvalues of wave problem. The method to treat is based on the linear theory of thermoacoustics and the analytical solution of wave equation. The influence of geometrical parameters such as stack position, stack length, engine total length, and the influence of operational parameters such as charge pressure, on the oscillating frequency and onset temperature for four different working gases of Hydrogen, Helium, Nitrogen and Argon are investigated. Moreover, the eigenvalues are calculated for binary gas mixtures of four mentioned gases.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2016.03.028