복사 열손실을 받는 대향류 확산화염의 맥동 불안정성의 비선형 거동
Nonlinear Behaviors of Pulsating Instabilities in Counterflow Diffusion Flames with Radiation Heat Loss
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Nonlinear dynamics of pulsating instability in radiating counterflow diffusion flames is numerically investigated by imposing Damköhler number perturbation. Stable limit-cycle solutions occur in small ranges of Damköhler numbers past bifurcation point of instability. Period doubling cascade and chaotic behaviors appear just before dynamic extinction occurs. Nonlinear dynamics is also studied when large disturbances are imposed to flames. For weak steady flames, the dynamic extinction range shrinks as the magnitudes of disturbances are increased. However, strong steady flames can overcome relatively large disturbances, thereby the dynamic extinction range extending. Stable limit-cycle behaviors reappears prior to dynamic extinction when the steady flames are strong enough.
Abstract
Nonlinear dynamics of pulsating instability in radiating counterflow diffusion flames is numerically investigated by imposing Damköhler number perturbation. Stable limit-cycle solutions occur in small ranges of Damköhler numbers past bifurcation point of instability. Period doubling cascade and chaotic behaviors appear just before dynamic extinction occurs. Nonlinear dynamics is also studied when large disturbances are imposed to flames. For weak steady flames, the dynamic extinction range shrinks as the magnitudes of disturbances are increased. However, strong steady flames can overcome relatively large disturbances, thereby the dynamic extinction range extending. Stable limit-cycle behaviors reappears prior to dynamic extinction when the steady flames are strong enough.
참고문헌 (13)
- J. S. Kim, "Linear analysis of diffusional-thermal instability in diffusion flames with Lewis numbers close to unity", Combust. Theory Model, 1, pp.13~40 (1997)
- 김종수, "Diffusional-thermal instability in strained diffusion flames with unequal lewis numbers", Combustion theory and modelling, 3(1), pp.123~146, Institute of Physics Pub
- Kukuck, S., "The Onset of Oscillations in Diffusion Flames", Combustion Theory and Modelling, 5, pp.217~240 (2001)
- Miklavcic, M., "Oscillations and Island Evolution in Radiating Diffusion Flames", Combust. Theory Model, 9, pp.403~416 (2005)
- Miklavcic, M, "Period doubling cascade in diffusion flames", Combust. Theory Model, 11, pp.103~12 (2007)
- Lee, S. R., "Instability Analysis of Counterflow Diffusion Flames with Radiation Heat Loss", Trans. of the KSME(B), 36(8)
- 김성초, "Edge flame instability in low-strain-rate counterflow diffusion flames", COMBUSTION AND FLAME, 146, pp.612~619, ELSEVIER SCIENCE INC
- Ju, Y, "Effects of the Lewis number and Radiative Heat Loss on the Bifurcation and Extinction of CH4", O2-N2-He Flames, 1999, pp.379, 165~190
- Law, C. K., "Combustion Physics" (2006), Cambridge University Press
- Nanduria, J. R., "Structure and Dynamic Response of Radiative Diffusion Flames", Combust. Theory Model, 9, pp.515~548 (2005)
- Wang, H. Y., "Extinction of Counterflow Diffusion Flames with Radiative Heat Loss and Nonunity Lewis Numbers", Combust. Flame, 148, pp.100~116 (2007)
- Ng, H. D., "Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations", Combust. Theory Model, 9, pp.159~70 (2005)
