Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Analysis of Nonlinear Combustion Instability Using Pressure-Sensitive Time Lag Hypothesis

시간지연 모델을 이용한 비선형 연소불안정 해석기법 연구

  • 박태선 (경북대학교 기계공학부) ;
  • 김성구 (한국항공우주연구원 연소기그룹)
  • Published : 2006.07.01
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Abstract

This study focuses on the development of numerical procedure to analyze the nonlinear combustion instabilities in liquid rocket engine. Nonlinear behaviors of acoustic instabilities are characterized by the existence of limit cycle in linearly unstable engines and nonlinear or triggering instability in linearly stable engines. To discretize convective fluxes with high accuracy and robustness, approximated Riemann solver based on characteristics and Euler-characteristic boundary conditions are employed. The present procedure predicts well the transition processes from initial harmonic pressure disturbance to N-like steep-fronted shock wave in a resonant pipe. Longitudinal pressure oscillations within the SSME(Space Shuttle Main Engine) engine have been analyzed using the pressure-sensitive time lag model to account for unsteady combustion response. It is observed that the pressure oscillations reach a limit cycle which is independent of the characteristics of the initial disturbances and depends only on combustion parameters and operating conditions.

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References

  1. Harrje, D. T. and Reardon, F. H. (eds.), 1972, 'Liquid Propellant Rocket Combustion Instability,' NASA SP-194
  2. Kim, H. J. and Kim, S. K., 2006, 'A Study on the Acoustic Damping Characteristics of Acoustic Cavities in a Liquid Rocket Combustor,' Transactions of the KSME(B), Vol. 30, No. 1, pp. 32-40 https://doi.org/10.3795/KSME-B.2006.30.1.032
  3. Sohn, C. H., Kim, S. K. and Kim, Y. M., 2004, 'Effects of Various Baffle Designs on Acoustic Characteristics in Combustion Chamber of Liquid Rocket Engine,' Journal of Mechanical Science and Technology, Vol. 18, No. 1, pp. 145-152
  4. Przekwas, A. J. and Yang, H. Q., 1989, 'Advanced CFD Methodology for Fast Transients Encountered in Nonlinear Combustion Instability Problem,' CFDRC Report 4065/1 Under Contract No. NASA-38034, Marshall Space Flight Center, Alabama
  5. Lores, M. E. and Zinn, B. T., 1972, 'The Prediction of Nonlinear Longitudinal Combustion Instability in Liquid Propellant Rockets,' NASA CR-120904
  6. Kim, Y. M., Chen, C. P., Ziebarth, J. P. and Chen, Y. S., 1994, 'Prediction of Fast Transient Spray Combustion Flows,' Numerical Heat Transfer, Part A, Vol. 25, pp. 21-42 https://doi.org/10.1080/10407789408955934
  7. Habiballah, M. and Dubois, I., 1995, 'Numerical Analysis of Engine Instability,' in Liquid Rocket Engine Combustion Instability (Yang, V. and Anderson, W. E., eds), Progress in Astronautics and Aeronautics, Vol. 169, AIAA, Washington DC, pp. 475-502
  8. Crocco, L., Grey, J. and Harrje, D. T., 1960, 'Theory of Liquid-Propellant Rocket Combustion Instability and Its Experimental Verification,' ARJ Journal, Vol.30, pp. 159-168
  9. Yoon, W. S. and Huh, H. I., 2003, 'Prediction of High Frequency Combustion Instabilities of a Liquid Rocket Engine,' Journal of the Korean Society of Propulsion Engineers, Vol. 7, No. 3, pp. 61-68
  10. Koptchenov, V. I. and Krajko, A. N., 1983, 'Monotone Second Order Accurate Difference Scheme for Systems of Hyperbolic Equations with Two Independent Variables,' USSR J. Comp. Math. and Math. Phys., Vol. 23, pp. 848-859 or http://www.geocities.com/andrei_chernousov
  11. Roe, P. L., 1981, 'Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes,' J. Computational Phys., Vol. 43, pp. 357-372 https://doi.org/10.1016/0021-9991(81)90128-5
  12. Roe, P. L., 1986, 'Characteristic-based Schemes for the Euler Equations,' Ann. Rev. Fluid Mech., Vol. 18, pp. 337-365 https://doi.org/10.1146/annurev.fl.18.010186.002005
  13. Liou, M. S. and Steffen, C. J., 1993, 'A New Flux Splitting Scheme,' J. Computational Phys., Vol. 107, pp. 23-39 https://doi.org/10.1006/jcph.1993.1122
  14. Liou, M. S., 1996,' A Sequel to AUSM: AUSM+,' J. Computational Phys., Vol. 129, pp. 364-382 https://doi.org/10.1006/jcph.1996.0256
  15. Wendroff, B., 1999,'A Two-Dimensional HLLE Riemann Solver and Associated Godunov-Type Difference Scheme for Gas Dynamics,' Computers and Mathematics with Applications, Vol. 38, pp. 175-185 https://doi.org/10.1016/S0898-1221(99)00296-5
  16. Kim, S. S., Kim, C., Rho, O. H. and Hong, S. K., 2003, 'Cures for the Shock Instability: Development of a Shock-Stable Roe Scheme,' J. Computational Phys., Vol. 185, pp. 342-374 https://doi.org/10.1016/S0021-9991(02)00037-2
  17. Poinsot, T. and Veynante, D., 2001, Theoretical and Numerical Combustion, 1st ed., Edwards, Inc., PA