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Applications of singular perturbation techniques to combustion theory

Part II: Applications

Part of the Lecture Notes in Mathematics book series (LNM,volume 942)

Keywords

  • Flame Front
  • Laminar Flame
  • Combustion Theory
  • Pulsate Flame
  • Unburned Mixture

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References

  1. Hirschfelder, J.O., Curtiss, C.F., Bird, R.B., 1954. “Molecular theory of gases and liquids”, Wiley, New York.

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  2. Williams, F.A., 1965. “Combustion theory”, Addison-Wesley, Reading, PA.

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  3. Eckhaus, W., 1961. “Theory of flame front stability”, J. Fl. Mech.

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  4. Bush, W.B., Fendell, F. 1970. “Asymptotic analysis of laminar flame propagation for general Lewis numbers”, Combustion Sci. and Tech.

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  5. Williams, F.A., 1971. “Theory of combustion in laminar flames, Ann. Reviews of Fl. Mech.

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  6. Ludford, G.S.S., 1977. “Combustion: basic equations and peculiar asymptotics”, J. Méchanique.

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  7. Matkowsky, B.J., Shivasinsky, G.I., 1979. “An asymptotic derivation of two models in flame theory associated with the constant density approximation”, SIAM J. on Appl. Math.

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  8. van Harten, A., Matkowsky, B.J., “A new model in flame theory”, SIAM J. on Appl. Math., to appear.

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  9. van Harten, A., Matkowsky, B.J. “Coupling between fluid dynamics and transport processes in a simplified model of flames”, preprint No. 222, Math. Inst., R.U. Utrecht.

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  10. Matkowsky, B.J., Olagunja, D.O., 1980. “Propagation of a pulsating flame front in a gaseous combustible mixture”, SIAM J. on Appl. Math.

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© 1982 Springer-Verlag

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van Harten, A. (1982). Applications of singular perturbation techniques to combustion theory. In: Eckhaus, W., de Jager, E.M. (eds) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics, vol 942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094754

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  • DOI: https://doi.org/10.1007/BFb0094754

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11584-7

  • Online ISBN: 978-3-540-39332-0

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