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Accounting for convective effects in zero-Mach-number thermoacoustic models

Motheau, Emmanuel and Selle, Laurent and Nicoud, Franck Accounting for convective effects in zero-Mach-number thermoacoustic models. (2014) Journal of Sound and Vibration, 333 (1). 246-262. ISSN 0022-460X

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Official URL: http://dx.doi.org/10.1016/j.jsv.2013.08.046

Abstract

This paper presents a methodology to account for some mean-flow effects on thermo-acoustic instabilities when using the zero-Mach-number assumption. It is shown that when a computational domain is represented under the M=0 assumption, a nonzero-Mach-number element can simply be taken into account by imposing a proper acoustic impedance at the boundaries so as to mimic the mean flow effects in the outer, not computed flow domain. A model that accounts for the coupling between acoustic and entropy waves is presented. It relies on a “delayed entropy coupled boundary condition” (DECBC) for the Helmholtz equation satisfied by the acoustic pressure. The model proves able to capture low-frequency entropic modes even without mean-flow terms in the fluctuating pressure equation.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at http://dx.doi.org/10.1016/j.jsv.2013.08.046
HAL Id:hal-00905802
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Université de Montpellier 2 (FRANCE)
Laboratory name:
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Deposited By: Laurent SELLE
Deposited On:18 Nov 2013 15:47

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