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The premixed flame in uniform straining flow

Published online by Cambridge University Press:  20 April 2006

P. A. Durbin
P. A. Durbin
Affiliation:
NASA Lewis Research Center, 21000 Brookpark Road, Cleveland, Ohio 44135, U.S.A.
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Abstract

Characteristics of the premixed flame in uniform straining flow are investigated by the technique of activation-energy asymptotics. An inverse method is used, which avoids some of the restrictions of previous analyses. It is shown that this method recovers known results for adiabatic flames. New results for flames with heat loss are obtained, and it is shown that, in the presence of finite heat loss, straining can extinguish flames. A stability analysis shows that straining can suppress the cellular instability of flames with Lewis number less than unity. Strain can produce instability of flames with Lewis number greater than unity. A comparison shows quite good agreement between theoretical deductions and experimental observations of Ishizuka, Miyasaka & Law (1981).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 121 , August 1982 , pp. 141 - 161
Copyright
© 1982 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions. Dover.
Buckmaster, J. 1977 Slowly varying flames. Combust. & Flames 28, 225–239.Google Scholar
Buckmaster, J. 1979 The quenching of a deflagration wave held in front of a bluff body. In Proc. 17th Symp. on Combustion, Pittsburgh.
Clavin, P. & Williams, F. A. 1979 Theory of premixed-flame propagation in large-scale turbulence. J. Fluid Mech. 90, 589–604.Google Scholar
Ishizuka, S., Miyasaka, K. & Law, C. K. 1981 Effects of heat loss, preferential diffusion and flame-stretch on flame-front instability and extinction of propane/air mixtures. Presented at Tech. Meeting Central States Section Combustion Inst., Warren, Michigan, March 1981.
Joulin, G. & Clavin, P. 1979 Linear stability analysis of nonadiabatic flames: diffusional–thermal model. Combust. & Flame 35, 139–153.Google Scholar
Keller, J. O., Vanveld, L., Korschelt, D., Ghonium, A. F., Daily, J. W. & Oppenheim, A. K. 1981 Mechanism of instabilities in turbulent combustion leading to flashback. Aerospace Sciences Meeting, St Louis, MO. A.I.A.A. Paper AIAA-81-0107.Google Scholar
Klimov, A. M. 1963 Laminar flame in turbulent flow. Zh. Prikl. Mekh. i Tekn. Fiz. 3, 49–58.Google Scholar
Lewis, B. & von Elbe, G. 1951 Combustion, Flames and Explosions of Gases. Academic.
Liñan, A. 1974 The asyptotic structure of counterflow diffusion flames for large activation energies. Acta Astron. 1, 1007–1039.Google Scholar
Ludford, G. S. S. 1977a Combustion: basic equations and peculiar asymptotics. J. Méc. 16, 531–551.Google Scholar
Ludford, G. S. S. 1977b The premixed flame. J. Méc. 16, 553–573.Google Scholar
Matkowsky, B. J. & Sivashinsky, G. I. 1979 An asymptotic derivation of two models in flame theory associated with the constant density approximation. SIAM J. Appl. Math. 37, 686–699.Google Scholar
Sivashinsky, G. I. 1976 On a distorted flame front as a hydrodynamic discontinuity. Acta Astron. 3, 889–918.Google Scholar
Sivashinsky, G. I. 1977 Diffusional–thermal theory of cellular flames. Combust. Sci. Tech. 15, 137–146.Google Scholar
Sivashinsky, G. I. & Matkowsky, B. J. 1981 On the stability of non-adiabatic flames. SIAM J. Appl. Math. 40, 255–260.Google Scholar
Spalding, D. B. 1957 A theory of inflammability limit and flame quenching. Proc. R. Soc. Lond. A 240, 83–100.Google Scholar
Weinberg, F. J. 1974 The first half-million years of combustion research and today's burning problems. In Proc. 15th Symp. on Combustion, Tokyo.
Williams, F. A. 1975 A review of some theoretical considerations of turbulent flame structure. AGARD Conf. Proc. no. 164, II1-1, II1-24.Google Scholar