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.
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Mots clés : Mécanique des fluides numérique, Thermoacoustique, Faible Mach, Simulation numérique, Amplification
Omar Hireche 1 ; Catherine Weisman 1, 2 ; Diana Baltean-Carlès 1, 2 ; Patrick Le Quéré 1 ; Maurice-Xavier François 1, 2 ; Luc Bauwens 3
@article{CRMECA_2010__338_1_18_0,
author = {Omar Hireche and Catherine Weisman and Diana Baltean-Carl\`es and Patrick Le Qu\'er\'e and Maurice-Xavier Fran\c{c}ois and Luc Bauwens},
title = {Numerical model of a thermoacoustic engine},
journal = {Comptes Rendus. M\'ecanique},
pages = {18--23},
publisher = {Elsevier},
volume = {338},
number = {1},
year = {2010},
doi = {10.1016/j.crme.2009.12.006},
language = {en},
}
TY - JOUR AU - Omar Hireche AU - Catherine Weisman AU - Diana Baltean-Carlès AU - Patrick Le Quéré AU - Maurice-Xavier François AU - Luc Bauwens TI - Numerical model of a thermoacoustic engine JO - Comptes Rendus. Mécanique PY - 2010 SP - 18 EP - 23 VL - 338 IS - 1 PB - Elsevier DO - 10.1016/j.crme.2009.12.006 LA - en ID - CRMECA_2010__338_1_18_0 ER -
%0 Journal Article %A Omar Hireche %A Catherine Weisman %A Diana Baltean-Carlès %A Patrick Le Quéré %A Maurice-Xavier François %A Luc Bauwens %T Numerical model of a thermoacoustic engine %J Comptes Rendus. Mécanique %D 2010 %P 18-23 %V 338 %N 1 %I Elsevier %R 10.1016/j.crme.2009.12.006 %G en %F CRMECA_2010__338_1_18_0
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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