In this paper, we develop a linear technique that predicts how the stability of a thermo-acoustic system changes due to the action of a generic passive feedback device or a generic change in the base state. From this, one can calculate the passive device or base state change that most stabilizes the system. This theoretical framework, based on adjoint equations, is applied to two types of Rijke tube. The first contains an electrically-heated hot wire and the second contains a diffusion flame. Both heat sources are assumed to be compact so that the acoustic and heat release models can be decoupled. We find that the most effective passive control device is an adiabatic mesh placed at the downstream end of the Rijke tube. We also investigate the effects of a second hot wire and a local variation of the cross-sectional area but find that both affect the frequency more than the growth rate. This application of adjoint sensitivity analysis opens up new possibilities for the passive control of thermo-acoustic oscillations. For example, the influence of base state changes can be combined with other constraints, such as that the total heat release rate remains constant, in order to show how an unstable thermo-acoustic system should be changed in order to make it stable.
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ASME Turbo Expo 2013: Turbine Technical Conference and Exposition
June 3–7, 2013
San Antonio, Texas, USA
Conference Sponsors:
- International Gas Turbine Institute
ISBN:
978-0-7918-5510-2
PROCEEDINGS PAPER
A Novel Theoretical Approach to Passive Control of Thermo-Acoustic Oscillations: Application to Ducted Heat Sources Available to Purchase
Luca Magri,
Luca Magri
University of Cambridge, Cambridge, UK
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Matthew P. Juniper
Matthew P. Juniper
University of Cambridge, Cambridge, UK
Search for other works by this author on:
Luca Magri
University of Cambridge, Cambridge, UK
Matthew P. Juniper
University of Cambridge, Cambridge, UK
Paper No:
GT2013-94344, V01AT04A021; 11 pages
Published Online:
November 14, 2013
Citation
Magri, L, & Juniper, MP. "A Novel Theoretical Approach to Passive Control of Thermo-Acoustic Oscillations: Application to Ducted Heat Sources." Proceedings of the ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. Volume 1A: Combustion, Fuels and Emissions. San Antonio, Texas, USA. June 3–7, 2013. V01AT04A021. ASME. https://doi.org/10.1115/GT2013-94344
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