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http://dx.doi.org/10.5139/JKSAS.2010.38.5.445

Development of Helmholtz Solver for Thermo-Acoustic Instability within Combustion Devices  

Kim, Seong-Ku (한국항공우주연구원 연소기팀)
Choi, Hwan-Seok (한국항공우주연구원 연소기팀)
Cha, Dong-Jin (국립한밭대학교 건축설비공학과)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.38, no.5, 2010 , pp. 445-455 More about this Journal
Abstract
In order to effectively predict thermo-acoustic instability within real combustors of rocket engines and gas turbines, in the present study, the Helmholtz equation in conjunction with the time lag hypothesis is discretized by the finite element method on three-dimensional hybrid unstructured mesh. Numerical nonlinearity caused by the combustion response term is linearized by an iterative method, and the large-scale eigenvalue problem is solved by the Arnoldi method available in the ARPACK. As a consequence, the final solution of complex valued eigenfrequency and acoustic pressure field can be interpreted as resonant frequency, growth rate, and modal shape for acoustic modes of interest. The predictive capabilities of the present method have been validated against two academic problems with complex impedance boundary and premixed flame, as well as an ambient acoustic test for liquid rocket combustion chamber with/without baffle.
Keywords
Combustion Instability; Helmholtz Equation; Time-Lag Model; Eigenvalue Problem;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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