Journal of the Korean Society for Aeronautical & Space Sciences (한국항공우주학회지)

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Development of Helmholtz Solver for Thermo-Acoustic Instability within Combustion Devices

연소시스템의 열음향 불안정 예측을 위한 Helmholtz Solver 개발

  • 김성구 (한국항공우주연구원 연소기팀) ;
  • 최환석 (한국항공우주연구원 연소기팀) ;
  • 차동진 (국립한밭대학교 건축설비공학과)
  • Received : 2009.12.01
  • Accepted : 2010.02.12
  • Published : 2010.05.01
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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.

본 연구에서는 실제 로켓엔진 및 가스터빈용 연소기 내부의 열음향 불안정을 효과적으로 예측하기 위하여, 헬름홀츠 방정식과 시간지연모델을 이용한 3차원 유한요소법 해석코드를 개발하였다. 연소응답항에 의해 수치적으로 야기되는 비선형성은 반복법으로 선형화 하였으며, Arnoldi 방법을 사용하여 대용량 고유치 문제를 해석하였다. 해석결과인 복소각주파수와 음향 압력장을 통해 각 음향모드의 공진주파수, 진폭의 증폭/감쇠 여부 그리고 모드 형태를 예측할 수 있다. 이론해가 존재하는 두 가지 문제를 통해 출구 임피던스와 예혼합 화염이 종 방향 음향장에 미치는 영향에 대한 예측 정확도를 평가하였으며, 배플 유무에 따른 횡 방향 음향 모드의 주파수 변이를 상온 음향시험 결과와 비교/검증하였다.

Keywords

References

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  1. Effects of Acoustic Boundary Conditions on Combustion Instabilities in a Gas Turbine Combustor vol.19, pp.4, 2015, https://doi.org/10.6108/KSPE.2015.19.4.015
  2. Flame Response Modeling for Lean Premixed Combustors Using CFD vol.38, pp.9, 2014, https://doi.org/10.3795/KSME-B.2014.38.9.773