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On curved cellular flames

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Book cover A Perspective Look at Nonlinear Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 503))

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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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Authors and Affiliations

  1. Institut für Angewandte Thermo- und Fluiddynamik Forschungszentrum Karlsruhe, 76021, Karlsruhe, Germany

    Andreas G. Class

Authors
  1. Andreas G. Class
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Jürgen Parisi Stefan C. Müller Walter Zimmermann

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63995-4

  • Online ISBN: 978-3-540-69681-0

  • eBook Packages: Springer Book Archive

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