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Nonlinear Behaviors of Pulsating Instabilities in Counterflow Diffusion Flames with Radiation Heat Loss  

Lee, Su Ryong (서울과학기술대학교 기계자동차공학과)
Park, Sung Cheon (여주대학교 자동차과)
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Journal of the Korean Society of Combustion / v.17, no.3, 2012 , pp. 9-16 More about this Journal
Nonlinear dynamics of pulsating instability in radiating counterflow diffusion flames is numerically investigated by imposing Damk$\ddot{o}$hler number perturbation. Stable limit-cycle solutions occur in small ranges of Damk$\ddot{o}$hler 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.
Diffusion Flame; Period Doubling; Pulsating Instability; Radiation Heat Loss;
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1 Sohn, C. H., Kim J. S., Chung, S. H. and Maruta, K., "Nonlinear Evolution of Diffusion Flame Oscillations Triggered by Radiative Heat Loss", Combust. Flame, Vol. 123, 2000, pp. 95-106.   DOI
2 Miklavcic, M., Moore, A. B., and Wichman I. S., "Oscillations and Island Evolution in Radiating Diffusion Flames", Combust. Theory Model., Vol. 9, 2005, pp.403-416.   DOI
3 Miklavcic, M, "Period doubling cascade in diffusion flames", Combust. Theory Model., Vol. 11, 2007, pp. 103-12.   DOI
4 Lee, S. R., "Instability Analysis of Counterflow Diffusion Flames with Radiation Heat Loss", Trans. of the KSME(B), Vol. 36, No. 8, to appear.
5 Park, J. S., Hwang D. J., Park J., Kim J. S., Kim S, Keel S. I., Kim T. K., Noh D. S., "Edge Flame Instability in Low-Strain-Rate Counterflow Diffusion Flames", Combust. Flame, Vol. 146, 2006, pp. 612-619.   DOI
6 Ju, Y, Guo, H., Liu, F., Maruta, K., "Effects of the Lewis number and Radiative Heat Loss on the Bifurcation and Extinction of CH4/O2-N2-He Flames", J. Fluid Mech., Vol. 379, 1999, pp. 165-190.   DOI
7 Law, C. K., Combustion Physics, Cambridge University Press, New York, 2006.
8 Nanduria, J. R., Sung, C. J., and T'ien, J. S., "Structure and Dynamic Response of Radiative Diffusion Flames", Combust. Theory Model., Vol. 9, 2005, pp.515-548.   DOI
9 Wang, H. Y., Chen, W. H. and Law, C. K., "Extinction of Counterflow Diffusion Flames with Radiative Heat Loss and Nonunity Lewis Numbers", Combust. Flame, Vol. 148, 2007, pp. 100-116.   DOI
10 Ng, H. D., Higgins, A. J., Kiyanda, C. B., Radulescu, M. I., Lee, J. H. S., Bates, K. R., Nikiforakis, N., "Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations", Combust. Theory Model., Vol. 9, 2005, pp. 159-70   DOI
11 J. S. Kim, "Linear analysis of diffusional-thermal instability in diffusion flames with Lewis numbers close to unity", Combust. Theory Model., Vol. 1, 1997, pp. 13-40.   DOI
12 Kim, J. S., and Lee, S. R., "Diffusional-Thermal Instability in Strained Diffusion Flames with Unequal Lewis Numbers", Combust. Theory Model., Vol. 3, 1999, pp. 123-146.   DOI
13 Kukuck, S. and Matalon, M., "The Onset of Oscillations in Diffusion Flames", Combustion Theory and Modelling, Vol. 5, 2001, pp. 217-240.   DOI