Numerical model of a thermoacoustic engine

Omar Hireche; Catherine Weisman; Diana Baltean-Carlès; Patrick Le Quéré; Maurice-Xavier François; Luc Bauwens

doi:10.1016/j.crme.2009.12.006

Numerical model of a thermoacoustic engine

Présenté par : Sébastien Candel

Omar Hireche ¹ ; Catherine Weisman ^1,² ; Diana Baltean-Carlès ^1,² ; Patrick Le Quéré ¹ ; Maurice-Xavier François ^1,² ; Luc Bauwens ³

¹ Laboratoire d'informatique pour la mécanique et les sciences de l'ingénieur, UPR CNRS 3251, BP 133, 91403 Orsay cedex, France
² Université Pierre et Marie Curie-Paris 6, 4, place Jussieu, 75252 Paris cedex 05, France
³ University of Calgary, Department of Mechanical and Manufacturing Engineering, 2500 University Drive NW, Calgary, AB T2N 1N4, Canada

Comptes Rendus. Mécanique, Volume 338 (2010) no. 1, pp. 18-23.

Résumé
Abstract

Cette étude présente un modèle numérique pour la simulation du démarrage d'un moteur thermoacoustique à onde stationnaire. Ce modèle couple une solution analytique des équations de l'acoustique linéaire dans le résonateur, avec une approximation faible Mach des équations de Navier–Stokes dans le domaine comprenant le stack et les échangeurs de chaleur. La résolution numérique de ces dernières est effectuée par un code volume-finis bidimensionnel. Les résultats obtenus montrent que le modèle reproduit bien la dynamique du processus d'amplification de l'onde, pour un coût bien inférieur à celui d'une simulation d'un écoulement compressible dans tout le moteur.

An asymptotically consistent small Mach number model of a standing wave thermoacoustic engine has been developed. A simple thermoacoustic engine consists of a resonating tube within which is inserted an acoustically compact assembly, composed of a stack of conducting plates, placed between two heat exchangers. The model couples one-dimensional linear acoustics in the resonator with a low Mach number viscous and conducting flow in the stack/heat exchangers section. The latter is solved through a two-dimensional numerical simulation. Results show that the model successfully captures the dynamics of the starting process, at a much lower cost than a fully compressible simulation of the entire engine.

Reçu le : 2009-03-20
Accepté le : 2009-12-04
Publié le : 2010-01-01

DOI : 10.1016/j.crme.2009.12.006

Keywords: Computational fluid dynamics, Thermoacoustics, Low Mach, Numerical simulation, Wave amplification
Mots clés : Mécanique des fluides numérique, Thermoacoustique, Faible Mach, Simulation numérique, Amplification

Affiliations des auteurs :

Omar Hireche ¹ ; Catherine Weisman ^{1, 2} ; Diana Baltean-Carlès ^{1, 2} ; Patrick Le Quéré ¹ ; Maurice-Xavier François ^{1, 2} ; Luc Bauwens ³

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     title = {Numerical model of a thermoacoustic engine},
     journal = {Comptes Rendus. M\'ecanique},
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     doi = {10.1016/j.crme.2009.12.006},
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Omar Hireche; Catherine Weisman; Diana Baltean-Carlès; Patrick Le Quéré; Maurice-Xavier François; Luc Bauwens. Numerical model of a thermoacoustic engine. Comptes Rendus. Mécanique, Volume 338 (2010) no. 1, pp. 18-23. doi : 10.1016/j.crme.2009.12.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.12.006/

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