Modeling transfer matrices of premixed flames and comparison with experimental results

Bruno B.H. Schuermans, Wolfgang Polifke, Christian Oliver Paschereit

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

67 Scopus citations


A combined analytical/experimental investigation of the thermoacoustic properties of a gas turbine burner with a premixed, turbulent, swirl-stabilized flame is presented. In an enclosed flame, an interaction occurs between acoustic fluctuations and non-steady heat release, which may lead to thermoacoustic instabilities. This interaction may be characterized by the transfer 'matrix of the burner with flame. The transfer matrix describes the coupling between fluctuations of acoustic pressure and velocity on both sides of burner and flame, incorporating also the effects of heat release fluctuations on the acoustic quantities. The transfer matrix has been modeled and validated with experimental results. For the burner, an analytical model is proposed, which is based on the Bernoulli equation for instationary flow through compact elements. The model is based on the Rankine-Hugoniot relations across a thin heat source. The fundamental assumption underlying the model is that acoustic fluctuations cause modulations of fuel concentrations at the fuel injector, which result, after a certain time lag, in a fluctuating heat release rate at the flame. The oscillating heat release couples with pressure and velocity fluctuations in the combustion chamber, thereby to creating a feedback loop between combustor acoustics and flame dynamics which may result in self-excited combustion instability. The transfer matrix of the burner with flame has been determined experimentally in an atmospheric combustion test facility. The test rig was equipped with loudspeakers and microphones in order to measure Notations: the response to an acoustical excitation. Our new flame model shows to be in agreement with the measured results.

Original languageEnglish
Title of host publicationCoal, Biomass and Alternative Fuels; Combustion and Fuels; Oil and Gas Applications; Cycle Innovations
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791878590
StatePublished - 1999
Externally publishedYes
EventASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition, GT 1999 - Indianapolis, United States
Duration: 7 Jun 199910 Jun 1999

Publication series

NameProceedings of the ASME Turbo Expo


ConferenceASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition, GT 1999
Country/TerritoryUnited States


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