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Analysis and lattice Boltzmann simulation of thermoacoustic instability in a Rijke tube

Published online by Cambridge University Press:  05 December 2024

Xuan Chen Open the ORCID record for Xuan Chen [Opens in a new window] ,
Kun Yang Open the ORCID record for Kun Yang [Opens in a new window] ,
Dong Yang Open the ORCID record for Dong Yang [Opens in a new window]  and
Xiaowen Shan Open the ORCID record for Xiaowen Shan [Opens in a new window]
Xuan Chen
Affiliation:
School of Astronautics, Harbin Institute of Technology, Harbin, 150006 Heilongjiang, PR China Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055 Guangdong, PR China
Kun Yang*
Affiliation:
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055 Guangdong, PR China
Dong Yang
Affiliation:
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055 Guangdong, PR China
Xiaowen Shan*
Affiliation:
BNU-HKBU United International College, Zhuhai, 519087 Guangdong, PR China
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

The combined effects of heater position, mean flow parameters and flame models on thermoacoustic instability in a one-dimensional Rijke tube are studied systematically by classic linear stability analysis (LSA) and lattice Boltzmann method (LBM) simulation. In the former, the stability range of the linear flame model under low Mach number assumption is solved analytically, while in the more general case, it is obtained by numerically solving the dispersion relation. Both the linear and nonlinear flame model cases are studied using the LBM with a spectral multiple-relaxation-time collision model and a newly developed heat source term. With the linear flame model, the LBM is in good agreement with LSA in predicting the transition point and growth rates, while with the nonlinear flame model, LBM simulations are consistent with solutions of limit cycle theory in the fully developed state. These results demonstrate the applicability of the LBM in solving complex thermoacoustic problems.

JFM classification

Reacting Flows: Combustion
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1000 , 10 December 2024 , A92
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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