101. Analysis and lattice Boltzmann simulation of thermoacoustic instability in a Rijke tube.
- Author
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Chen, Xuan, Yang, Kun, Yang, Dong, and Shan, Xiaowen
- Subjects
LATTICE Boltzmann methods ,MACH number ,LIMIT cycles ,FLAME ,LINEAR statistical models - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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