Impact of linear coupling on thermoacoustic instabilities

Kedia, K. S. ; Nagaraja, S. B. ; Sujith, R. I. (2008) Impact of linear coupling on thermoacoustic instabilities Combustion Science and Technology, 180 (9). pp. 1588-1612. ISSN 0010-2202

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0010220...

Related URL: http://dx.doi.org/10.1080/00102200802197312

Abstract

There have been conflicting opinions in literature, about the consequences of ignoring the linear coupling terms in finite-dimensional thermoacoustic models. We try to clarify this issue in this paper. We study consequences of ignoring the linear coupling terms on the non-normal thermoacoustic interactions in a horizontal Rijke tube. In the Galerkin formulation, we use pseudospectra and Henrici index of non-normality to study the impact of linear coupling between the Galerkin modes on the non-normality and the ensuing transient growth. This linear coupling is important for the energy transfer between the eigenmodes of the system (which are not the same as the natural acoustic modes of the duct). Although ignoring this linear coupling results in negligible shift in the eigenfrequencies, it may have serious consequences on the non-normality of the thermoacoustic system and its dynamics. Nonlinear phenomena such as triggering, boot-strapping and limit cycle oscillations may be completely missed out when this linear coupling is ignored. Ignoring the linear coupling between the Galerkin modes is justified only when the non-normality and the nonlinear dynamics of the system are not altered significantly.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Combustion; Eigenmodes; Galerkin Modes; Linear Coupling; Non-normality; Pseudospectra; Rijke Tube; Thermoacoustic Instability
ID Code:110014
Deposited On:21 Dec 2017 11:00
Last Modified:21 Dec 2017 11:00

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