Abstract
Laminar premixed flames exhibit cellular instabilities for sufficiently small Lewis-numbers. In the present article we study a modified Kuramoto-Sivashinsky-equation describing curved, cellular flames near the instability threshold. Pattern formation is strongly influenced by the sign of flame curvature. For a flame that is convex with respect to the burnt gases localized patterns are observed. Concave flames display a family of patterns that we call the cell reproduction cascade (CRC). CRC-patterns on large domains are unstable to a spontanous symmetry breaking instability.
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Buckmaster J. D., Ludford G. S. S. (1982): Theory of laminar flames. Cambridge Uni. Press
Class A. G. (1995): Zellulare Strukturen laminarer Staupunktflammen. Forschungszentrum Karlsruhe, FZKA 5655
Gorman M., el-Hamdi M., Robbins K. A.: Experimental observation of ordered states of cellular flames. Combust. Sci. and Tech., 98, 37–45
Ishizuka S., Law C. K. (1982): An experimental study on extinction and stability of stretched premixed flames. 19th Symp. (Int.) Combust./Combust. Inst., 327–335
Matalon M., (1983): On flame stretch. Combust. Sci. and Tech., 31:169–181
Matalon M., Erneux T. (1984): Expanding flames may delay the transition to cellular structures. SIAM J. Appl. Math., 44(4),734–744
Margolis S. B., Sivashinsky G. I. (1984): Flame propagation in vertical channels: Bifurcation to bimodal cellular flames. SIAM J. Appl. Math., 44(2), 344–368
Sivashinsky G. I. (1977): Diffusional-thermal theory of cellular flames. Combust. Sci. and Tech., 15, 137
Sivashinsky G. I., Law C. K., Joulin G. (1982): On stability of premixed flames in stagnation point flow. Combust. Sci. and Tech., 28, 155–159
Williams F. A. (1975): A review of some theoretical models of turbulent flame structure. Agar Conference Proceedings, 164
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© 1998 Springer-Verlag
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Class, A.G. (1998). On curved cellular flames. In: Parisi, J., Müller, S.C., Zimmermann, W. (eds) A Perspective Look at Nonlinear Media. Lecture Notes in Physics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104955
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DOI: https://doi.org/10.1007/BFb0104955
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