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


Type

Article

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Authors

Juniper, MP 

Abstract

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.

Description

Keywords

physics.flu-dyn, physics.flu-dyn

Journal Title

International Journal of Spray and Combustion Dynamics

Conference Name

Journal ISSN

1756-8277
1756-8285

Volume Title

6

Publisher

SAGE Publications
Sponsorship
L.M.’s PhD is supported by the European Research Council through Project ALORS 2590620. The Cambridge Philosophical Society (UK) is gratefully acknowledged for having partially covered travel costs for n3l conference, 2013.