### 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 language | English |
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Title of host publication | Proceedings of the AIA-DAGA 2013, including the 40th Italian (AIA) Annual Conference on Acoustics |

Place of Publication | Merano |

Pages | 1553-1556 |

Number of pages | 4 |

Publication status | Published - 18 Mar 2013 |

Event | 39. Jahrestagung für Akustik, AIA-DAGA 2013: gemeinsam mit der Associazione Italiana di Acustica (AIA) - Merano, Italy Duration: 18 Mar 2013 → 21 Mar 2013 Conference number: 39 |

### Conference

Conference | 39. Jahrestagung für Akustik, AIA-DAGA 2013 |
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Abbreviated title | AIA-DAGA |

Country | Italy |

City | Merano |

Period | 18/03/13 → 21/03/13 |

### Keywords

- METIS-297371
- IR-87059

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## 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.