Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Planar premixed-flame/end-wall interaction: the jump conditions across the thin flame


Authors: W. B. Bush and S. F. Fink
Journal: Quart. Appl. Math. 38 (1981), 427-437
MSC: Primary 80A25
DOI: https://doi.org/10.1090/qam/614551
MathSciNet review: 614551
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Abstract: Within the context of time-dependent interaction of a planar premixed laminar flame with a cold parallel end wall, the jump conditions for the first (spatial) derivatives of the dependent variables across the thin flame are obtained through the solution of the nonlinear diffusive-reactive boundary-value problem that describes the structure of the flame zone. Recently developed numerical techniques are employed to yield solutions of this boundary-value problem.

References [Enhancements On Off] (What's this?)

  • [1] G. F. Carrier, F. E. Fendell, W. B. Bush, and P. S. Feldman, Nonisenthalpic interaction of a planar premixed laminar flame with a parallel end wall, SAE Paper No. 790245, presented at SAE Congress and Exposition, Feb. 1979
  • [2] Y. B. Zeldovich and D. A. Frank-Kamenetskii, On the theory of uniform flame propagation, Dokl. Akad. Nauk SSSR 19, 693-697 (1938)
  • [3] W. B. Bush and F. E. Fendell, Asymptotic analysis of laminar flame propagation for general Lewis numbers, Comb. Sci. Tech. 1, 421-428 (1970)
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  • [5] William B. Bush, Asymptotic analysis of laminar flame propagation: review and extension, Internat. J. Engrg. Sci. 17 (1979), no. 5, 597–613. MR 659357, https://doi.org/10.1016/0020-7225(79)90129-0
  • [6] B. J. Matkowsky and G. I. Sivashinsky, An asymptotic derivation of two models in flame theory associated with the constant density approximation, SIAM J. Appl. Math. 37 (1979), no. 3, 686–699. MR 549149, https://doi.org/10.1137/0137051
  • [7] J. Buckmaster, The quenching of two-dimensional premixed flames, Acta Astro. 6, 741-769 (1979)
  • [8] A. Liñán, The asymptotic structure of counterflow diffusion flames for large activation energies, Acta Astro. 1, 1007-1039 (1974)

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DOI: https://doi.org/10.1090/qam/614551
Article copyright: © Copyright 1981 American Mathematical Society

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