Determination of the stability limit of a thermoacoustic engine by means of finite elements

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Abstract

A finite element model is presented to obtain the stability limit of, as an example, 2D standing wave thermoacoustic engine. The stability limit is the required heating to obtain self-sustained (thermo)acoustic oscillations. The method used to obtain the stability limit is not restricted to the example standing wave engine. With slight modification, more commercially interesting engines like traveling wave thermoacoustic stirling heat engines can be modeled. Under the assumption that beyond the stability limit, the acoustic field does not change except for its magnitude, important properties of the system can readily be obtained, such as the impedance in the engine core, called the stack, the over-all dissipation to production ratio and others. The results are verified with a so-called 1D low reduced frequency model result where numerical integration is applied to find the transfer matrix of the stack.
Original languageEnglish
Title of host publicationProceedings of the AIA-DAGA 2013, including the 40th Italian (AIA) Annual Conference on Acoustics
Place of PublicationMerano
Pages1553-1556
Number of pages4
Publication statusPublished - 18 Mar 2013
Event39. Jahrestagung für Akustik, AIA-DAGA 2013: gemeinsam mit der Associazione Italiana di Acustica (AIA) - Merano, Italy
Duration: 18 Mar 201321 Mar 2013
Conference number: 39

Conference

Conference39. Jahrestagung für Akustik, AIA-DAGA 2013
Abbreviated titleAIA-DAGA
CountryItaly
CityMerano
Period18/03/1321/03/13

Fingerprint

engines
standing waves
heat engines
acoustics
numerical integration
traveling waves
dissipation
impedance
oscillations
heating

Keywords

  • METIS-297371
  • IR-87059

Cite this

de Jong, A., Wijnant, Y. H., & de Boer, A. (2013). Determination of the stability limit of a thermoacoustic engine by means of finite elements. In Proceedings of the AIA-DAGA 2013, including the 40th Italian (AIA) Annual Conference on Acoustics (pp. 1553-1556). [790] Merano.
de Jong, Anne ; Wijnant, Ysbrand H. ; de Boer, Andries. / Determination of the stability limit of a thermoacoustic engine by means of finite elements. Proceedings of the AIA-DAGA 2013, including the 40th Italian (AIA) Annual Conference on Acoustics. Merano, 2013. pp. 1553-1556
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title = "Determination of the stability limit of a thermoacoustic engine by means of finite elements",
abstract = "A finite element model is presented to obtain the stability limit of, as an example, 2D standing wave thermoacoustic engine. The stability limit is the required heating to obtain self-sustained (thermo)acoustic oscillations. The method used to obtain the stability limit is not restricted to the example standing wave engine. With slight modification, more commercially interesting engines like traveling wave thermoacoustic stirling heat engines can be modeled. Under the assumption that beyond the stability limit, the acoustic field does not change except for its magnitude, important properties of the system can readily be obtained, such as the impedance in the engine core, called the stack, the over-all dissipation to production ratio and others. The results are verified with a so-called 1D low reduced frequency model result where numerical integration is applied to find the transfer matrix of the stack.",
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de Jong, A, Wijnant, YH & de Boer, A 2013, Determination of the stability limit of a thermoacoustic engine by means of finite elements. in Proceedings of the AIA-DAGA 2013, including the 40th Italian (AIA) Annual Conference on Acoustics., 790, Merano, pp. 1553-1556, 39. Jahrestagung für Akustik, AIA-DAGA 2013, Merano, Italy, 18/03/13.

Determination of the stability limit of a thermoacoustic engine by means of finite elements. / de Jong, Anne; Wijnant, Ysbrand H.; de Boer, Andries.

Proceedings of the AIA-DAGA 2013, including the 40th Italian (AIA) Annual Conference on Acoustics. Merano, 2013. p. 1553-1556 790.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - A finite element model is presented to obtain the stability limit of, as an example, 2D standing wave thermoacoustic engine. The stability limit is the required heating to obtain self-sustained (thermo)acoustic oscillations. The method used to obtain the stability limit is not restricted to the example standing wave engine. With slight modification, more commercially interesting engines like traveling wave thermoacoustic stirling heat engines can be modeled. Under the assumption that beyond the stability limit, the acoustic field does not change except for its magnitude, important properties of the system can readily be obtained, such as the impedance in the engine core, called the stack, the over-all dissipation to production ratio and others. The results are verified with a so-called 1D low reduced frequency model result where numerical integration is applied to find the transfer matrix of the stack.

AB - A finite element model is presented to obtain the stability limit of, as an example, 2D standing wave thermoacoustic engine. The stability limit is the required heating to obtain self-sustained (thermo)acoustic oscillations. The method used to obtain the stability limit is not restricted to the example standing wave engine. With slight modification, more commercially interesting engines like traveling wave thermoacoustic stirling heat engines can be modeled. Under the assumption that beyond the stability limit, the acoustic field does not change except for its magnitude, important properties of the system can readily be obtained, such as the impedance in the engine core, called the stack, the over-all dissipation to production ratio and others. The results are verified with a so-called 1D low reduced frequency model result where numerical integration is applied to find the transfer matrix of the stack.

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de Jong A, Wijnant YH, de Boer A. Determination of the stability limit of a thermoacoustic engine by means of finite elements. In Proceedings of the AIA-DAGA 2013, including the 40th Italian (AIA) Annual Conference on Acoustics. Merano. 2013. p. 1553-1556. 790