CUED Publications database

Adjoint-based linear analysis in reduced-order thermo-acoustic models

Magri, L and Juniper, MP (2014) Adjoint-based linear analysis in reduced-order thermo-acoustic models. International Journal of Spray and Combustion Dynamics, 6. pp. 225-246. ISSN 1756-8277

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This paper presents the linear theory of adjoint equations as applied to thermo-acoustics. The purpose is to describe the mathematical foundations of adjoint equations for linear sensitivity analysis of thermo-acoustic systems, recently developed by Magri and Juniper (J. Fluid Mech. (2013), vol. 719, pp. 183-202). This method is applied pedagogically to a damped oscillator, for which analytical solutions are available, and then for an electrically heated Rijke tube with a mean-flow temperature discontinuity induced by the compact heat source. Passive devices that most affect the growth rate/frequency of the electrical Rijke-tube system are presented, including a discussion about the effect of modelling the mean-flow temperature discontinuity.

Item Type: Article
Divisions: Div A > Fluid Mechanics
Div A > Energy
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:05
Last Modified: 30 Jul 2020 13:39
DOI: 10.1260/1756-8277.6.3.225