91
Views
101
CrossRef citations to date
0
Altmetric
Original Articles

Bifurcation Phenomena in Burner-Stabilized Premixed Flames

Pages 143-169 | Received 07 Sep 1979, Accepted 26 Nov 1979, Published online: 27 Apr 2007

REFERENCES

  • Bush , W. B. , and Fendell , F. E. , ( 1970 ). Asymptotic analysis of laminar flame propagation for general Lewis numbers . Combust. Sci. Technol . 1 , 421 .
  • Carrier G. F. , Grishin , A. M. , Agranat , V. M. , and Bertsun , V. N. , ( 1978 ). Stoichiometry and flameholder effects on a one-dimensional flame . Combust. Kci. Technol . 18 , 33 .
  • Golovichev , V. I. , Fendell , F. E. , and Bush , W. B. , ( 1978 ). Thermokinetic oscillations in distributed chemical systems . Dokl. Akad. Nauk SSSR 241 , 305 . Sov. Phys. Dokl. 23, 477 .
  • Herschkowitz-Kaufman , M. , and Erneux , T. , ( 1979 ), The bifurcation diagram of model chemical reactions . In Bifurcation Theory and Applications in Scientific Disciplines , Gurel, O. and Rossler, O. E. (Eds.) , New York Academy of Sciences , New York , pp. 296 – 313 .
  • Joulin , G. , and Clavin , P. , ( 1979 ). Linear stability analysis of nonadiabatic flames diffusional-thermal model. Combust. Flame 35 , 139 .
  • Lentini , M. , ( 1978 ). Boundary-value problems over semi-infinite intervals . Ph.D. Thesis , California Institute of Technology .
  • Margolis , S. B. , ( 1978 ). Time-dependent solution of a premixed laminar flame . J. Computational Phys. 27 , 410 .
  • Margolis , S. B. , ( 1979 ). Theoretical analysis of steady, nonadiabatic premixed laminar flames . Quart. Appl. Math., to appear .
  • Margolis , S. B. , ( 1980 ). Effects of selective diffusion on the stability of burner-stabilized premixed flames , submitted for publication .
  • Margolis , S. B. , and Green , R. M. , ( 1979 ). Theoretical prediction of self-propagating, diffusion- and decomposition-limited intermetallic reactions. Combust. Flame 34 , 245 .
  • Markstein , G. H. , ( 1964 ). Flame front instability . In Markstein, G. H. (Ed.) , Non-Steady Flame Propagation , Pergamon , New York , pp. 75 – 105 .
  • Marquardt , D. W. , ( 1963 ). An algorithm for least squares estimation of nonlinear parameters . J. Soc. Indust. Appl. Math. 11 , 431 .
  • Matkowsky , B. J. , and Sivashinsky , G. I. , ( 1978 ). Propagation of a pulsating reaction front in solid fuel combustion . SIAM J. Appl. Math. 35 , 465 .
  • Matkowsky , B. J. , and Sivashinsky , G. I. , ( 1979 ). Acceleration effects on the stability of flame propagation . SIAM J. Appl. Math. 37 , 669 .
  • Matkowsky , B. J. , and Olagunju , D. O. , ( 1979 ). Propagation of a pulsating flame front in a gaseous combustible mixture , SIAM J. Appl. Math., to appear .
  • Merzhanov , A. G. , Filonenko , A. K. , and Bororinskaya , I. P. , ( 1973 ). New phenomena in combustion of condensed systems . Soviet Phys. Dokl. 208 , 122 .
  • Shkadinsky , K. G. , Khaikin , B. I. , and Merzhanov , A. G. , ( 1971 ). Propagation of a pulsating exothermic reaction front in the condensed phase . Combustion, Explosion and Shock Waves 1 , 15 .
  • Sirignano , W. A. , ( 1979 ). Private communication .
  • Sivashinsky , G. I. , ( 1975 ). Structure of bunsen flames . J. Chem. Phys. 62 , 638 .
  • Sivashinsky , G. I. , ( 1977 a). Diffusional-thermal theory of cellular flames . Combust. Sci. Technol . 15 , 137 .
  • Sivashinsky , G. I. , ( 1977 b). Nonlinear analysis of hydro-dynamic instability in laminar flames-1 and II , Acta Astronaut . 4 , 1177 .
  • Spalding , D. B. , ( 1956 ). The theory of flame phenomena with a chain reaction. Phil. Trans . Roy. Soc. London nA249 n, 1 .
  • Williams , F. A. , ( 1975 ). A review of some theoretical considerations of turbulent flame structure . AGARD Conference Proceedings , No . 164 , pp. III-l to 111-25 .
  • Zeldovich , Y. B. , and Barenblaft , G. I. , ( 1959 ). Theory of flame propagation.Combust . Flame 3 , 61 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.