This study assesses and compares two alternative approaches to determine the acoustic scattering matrix of a premixed turbulent swirl combustor: (1) The acoustic scattering matrix coefficients are obtained directly from a compressible large eddy simulation (LES). Specifically, the incoming and outgoing characteristic waves f and g extracted from the LES are used to determine the respective transmission and reflection coefficients via System Identification (SI) techniques. (2) The flame transfer function (FTF) is identified from LES time series data of upstream velocity and heat release rate. The transfer matrix of the reactive combustor is then derived by combining the FTF with the Rankine–Hugoniot (RH) relations across a compact heat source and a transfer matrix of the cold combustor, which is deduced from a linear network model. Linear algebraic transformation of the transfer matrix consequently yields the combustor scattering matrix. In a cross-comparison study that includes comprehensive experimental data, it is shown that both approaches successfully predict the scattering matrix of the reactive turbulent swirl combustor.
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February 2019
Research-Article
Direct Assessment of the Acoustic Scattering Matrix of a Turbulent Swirl Combustor by Combining System Identification, Large Eddy Simulation and Analytical Approaches
Malte Merk,
Malte Merk
Fakultät für Maschinenwesen,
Technische Universität München,
Garching 85747, Germany
e-mail: merk@tfd.mw.tum.de
Technische Universität München,
Garching 85747, Germany
e-mail: merk@tfd.mw.tum.de
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Camilo Silva,
Camilo Silva
Fakultät für Maschinenwesen,
Technische Universität München,
Garching 85747, Germany
Technische Universität München,
Garching 85747, Germany
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Wolfgang Polifke,
Wolfgang Polifke
Fakultät für Maschinenwesen,
Technische Universität München,
Garching 85747, Germany
Technische Universität München,
Garching 85747, Germany
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Renaud Gaudron,
Renaud Gaudron
Laboratoire EM2C, CNRS,
CentraleSupélec,
Université Paris Saclay,
3,
Gif-sur-Yvette cedex
CentraleSupélec,
Université Paris Saclay,
3,
rue Joliot Curie
,Gif-sur-Yvette cedex
91192
, France
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Marco Gatti,
Marco Gatti
Laboratoire EM2C, CNRS,
CentraleSupélec,
Université Paris Saclay,
3,
Gif-sur-Yvette cedex
CentraleSupélec,
Université Paris Saclay,
3,
rue Joliot Curie
,Gif-sur-Yvette cedex
91192
, France
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Clément Mirat,
Clément Mirat
Laboratoire EM2C, CNRS,
CentraleSupélec,
Université Paris Saclay,
3,
Gif-sur-Yvette cedex
CentraleSupélec,
Université Paris Saclay,
3,
rue Joliot Curie
,Gif-sur-Yvette cedex
91192
, France
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Thierry Schuller
Thierry Schuller
Institut de Mécanique des
Fluides Toulouse (IMFT),
Université de Toulouse,
CNRS, INPT, UPS,
Toulouse 31062, France
Fluides Toulouse (IMFT),
Université de Toulouse,
CNRS, INPT, UPS,
Toulouse 31062, France
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Malte Merk
Fakultät für Maschinenwesen,
Technische Universität München,
Garching 85747, Germany
e-mail: merk@tfd.mw.tum.de
Technische Universität München,
Garching 85747, Germany
e-mail: merk@tfd.mw.tum.de
Camilo Silva
Fakultät für Maschinenwesen,
Technische Universität München,
Garching 85747, Germany
Technische Universität München,
Garching 85747, Germany
Wolfgang Polifke
Fakultät für Maschinenwesen,
Technische Universität München,
Garching 85747, Germany
Technische Universität München,
Garching 85747, Germany
Renaud Gaudron
Laboratoire EM2C, CNRS,
CentraleSupélec,
Université Paris Saclay,
3,
Gif-sur-Yvette cedex
CentraleSupélec,
Université Paris Saclay,
3,
rue Joliot Curie
,Gif-sur-Yvette cedex
91192
, France
Marco Gatti
Laboratoire EM2C, CNRS,
CentraleSupélec,
Université Paris Saclay,
3,
Gif-sur-Yvette cedex
CentraleSupélec,
Université Paris Saclay,
3,
rue Joliot Curie
,Gif-sur-Yvette cedex
91192
, France
Clément Mirat
Laboratoire EM2C, CNRS,
CentraleSupélec,
Université Paris Saclay,
3,
Gif-sur-Yvette cedex
CentraleSupélec,
Université Paris Saclay,
3,
rue Joliot Curie
,Gif-sur-Yvette cedex
91192
, France
Thierry Schuller
Institut de Mécanique des
Fluides Toulouse (IMFT),
Université de Toulouse,
CNRS, INPT, UPS,
Toulouse 31062, France
Fluides Toulouse (IMFT),
Université de Toulouse,
CNRS, INPT, UPS,
Toulouse 31062, France
1Corresponding author.
Manuscript received June 22, 2018; final manuscript received June 29, 2018; published online November 14, 2018. Editor: Jerzy T. Sawicki.
J. Eng. Gas Turbines Power. Feb 2019, 141(2): 021035 (9 pages)
Published Online: November 14, 2018
Article history
Received:
June 22, 2018
Revised:
June 29, 2018
Citation
Merk, M., Silva, C., Polifke, W., Gaudron, R., Gatti, M., Mirat, C., and Schuller, T. (November 14, 2018). "Direct Assessment of the Acoustic Scattering Matrix of a Turbulent Swirl Combustor by Combining System Identification, Large Eddy Simulation and Analytical Approaches." ASME. J. Eng. Gas Turbines Power. February 2019; 141(2): 021035. https://doi.org/10.1115/1.4040731
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