Skip to main content

Numerical bifurcation in chambered diffusion flames

  • Part II: Contributed Lectures
  • Conference paper
  • First Online:
Numerical Simulation of Combustion Phenomena

Part of the book series: Lecture Notes in Physics ((LNP,volume 241))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Y.S. Choi, C1. Lainé-Schmidt, G.S.S. Ludford Numerical investigation of the stability of diffusion flames near extinction and ignition, Transactions of the 2nd Army conference on applied mathematics and computing, ARp Report 85-1 (1985).

    Google Scholar 

  2. D. Dellwo, H.B. Keller, B.J. Matkowsky and E.L. Reiss On the birth of isolas, SIAM J. Appl. Math. 42, 5, (1982), pp. 956–963.

    Google Scholar 

  3. H.B. Keller Numerical solution of bifurcation theory and nonlinear eigenvalue problems. Application of bifurcation theory, Ed. Rabinowitz, Academic Press, (1977).

    Google Scholar 

  4. H.B. Keller Two new bifurcation phenomena. INRIA research report 369 (1979).

    Google Scholar 

  5. H.B. Keller Geometrically isolated nonisolated solutions and their approximation, SIAM J. Numer. Anal. 18, 5, (1981). pp. 882–838.

    Google Scholar 

  6. L.L. Kirkby and R.A. Schmitz An analytical study of the stability of a laminar diffusion flame, Canbust. and Flame, 10, (1966), pp. 205–220.

    Google Scholar 

  7. Cl. Lainé and L. Reinhart Further numerical methods for the Falkner-Skan equations: shooting and contimation techniques. Int. J. for Num. Meth. in Fluids, Vol. 4, 833–852 (1984).

    Google Scholar 

  8. M. Matalon Diffusion flares in a chamber for large activation energy, Ph. D. Thesis, Cornell University, (1977).

    Google Scholar 

  9. M. Matalon, G.S.S. Ludford, J. Buckmaster Diffusion flames in a chamber, Acta Astronautica, 6 (1979), pp. 943–959.

    Google Scholar 

  10. M. Matalon, G.S.S. Ludford Chambered diffusion flames for different supply temperatures, Acta astronautica, 6 (1979), pp. 1377–1386.

    Google Scholar 

  11. M. Matalon, G.S.S. Ludford The asymptotic derivation of isola and S responses for chambered diffusion flames, SIAM J. Appl. Math. 37, 1, (1979), pp. 107–123.

    Google Scholar 

  12. J.F. Rameau Etude mathématique et numérique d'un modèle de flamme de diffusion, Thèse 3ème Cycle, Lyon (1985).

    Google Scholar 

  13. S.M. Roberts and J.S. Shipman Two point boundary value problems: shooting methods. American Elsevier, (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Roland Glowinski Bernard Larrouturou Roger Temam

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Rameau, J.F., Schmidt-Lainé, C. (1985). Numerical bifurcation in chambered diffusion flames. In: Glowinski, R., Larrouturou, B., Temam, R. (eds) Numerical Simulation of Combustion Phenomena. Lecture Notes in Physics, vol 241. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008671

Download citation

  • DOI: https://doi.org/10.1007/BFb0008671

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16073-1

  • Online ISBN: 978-3-540-39751-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics