225
Views
44
CrossRef citations to date
0
Altmetric
Original Articles

Premixed flames modelled with thermally sensitive intermediate branching kinetics

Pages 909-948 | Received 28 Oct 2006, Accepted 15 Feb 2007, Published online: 23 Nov 2007

REFERENCES

  • Williams , F. A. 1971 . Theory of combustion in laminar flows . Annual Reviews of Fluid Mechanics , 3 : 171 – 188 .
  • Williams , F. A. 1965 . Combustion Theory , New York : Addison-Wesley . Second edition: 1985 (California: Benjamin-Cummings)
  • Zel′dovich , Ya. B. , Barrenblatt , G. I. , Librovich , V. B. and Makhviladze , G. M. 1985 . The Mathematical Theory of Combustion and Explosions , New York : Consultants Bureau .
  • Buckmaster , J. D. and Ludford , G. S.S. 1982 . Theory of Laminar Flames , Cambridge : Cambridge University Press .
  • Sivashinsky , G. I. 1983 . Instabilities, pattern formation and turbulence in flames . Annual Reviews of Fluid Mechanics , 15 : 179 – 199 .
  • Kapila , A. K. 1983 . Asymptotic Treatment of Chemically Reacting Systems , London : Pitman .
  • Pelcé , P. 1988 . Dynamics of Curved Fronts , London : Academic Press .
  • Buckmaster , J. 1993 . The structure and stability of laminar flames . Annual Reviews of Fluid Mechanics , 25 : 21 – 53 .
  • Liñán , A. and Williams , F. A. 1993 . Fundamental Aspects of Combustion , New York : Oxford University Press .
  • Peters , N. 2000 . Turbulent Combustion , Cambridge : Cambridge University Press .
  • Buckmaster , J. , Clavin , P. , Liñán , A. , Matalon , M. , Peters , N. , Sivashinsky , G. and Williams , F. A. 2005 . Combustion theory and modeling . Proceedings of the Combustion Institute , 30 : 1 – 19 .
  • Smooke , M. D. , ed. 1991 . Reduced Kinetic Mechanisms and Asymptotic Approximations for Methane–Air Flames. Lecture Notes in Physics, vol. 384 , Berlin : Springer-Verlag .
  • Peters , N. and Rogg , B. , eds. 1993 . Reduced Reaction Mechanisms for Applications in Combustion Systems. Lecture Notes in Physics, New Series, vol. m15 , Berlin : Springer-Verlag .
  • Seshadri , K. , Peters , N. and Williams , F. A. 1994 . Asymptotic analyses of stoichiometric and lean hydrogen–air flames . Combustion and Flame , 96 : 407 – 427 .
  • Peters , N. 1997 . Kinetic foundation of thermal flame theory . Progress in Astronautics and Aeronautics , 173 : 73 – 91 .
  • Zel′dovich , Ya. B. 1948 . K Teorii Raspostraneniya Plameni . Zhurnal Fizicheskoi Khimii , 22 : 27 – 48 .
  • Westbrook , C. K. 2000 . Chemical kinetics of hydrocarbon ignition in practical combustion systems . Proceedings of the Combustion Institute , 28 : 1563 – 1577 .
  • NIST Chemical Kinetics Database http://kinetics.nist.gov/kinetics
  • http://webbook.nist.gov/chemistry NIST Standard Reference Database No. 69, June 2005
  • Westbrook , C. K. and Dryer , F. L. 1984 . Chemical kinetic modeling of hydrocarbon combustion . Progress in Energy and Combustion Science , 10 : 1 – 57 .
  • Kapila , A. K. 1978 . Homogeneous branched-chain explosion – Initiation to completion . Journal of Engineering Mathematics , 12 : 221 – 235 .
  • Joulin , G. , Liñán , A. , Ludford , G. S.S. , Peters , N. and Schmidt-Lainé , C. 1985 . Flames with chain-branching chain-breaking kinetics . SIAM Journal on Applied Mathematics , 45 : 420 – 434 .
  • Chao , B. H. and Law , C. K. 1994 . Laminar flame propagation with volumetric heat-loss and chain branching-termination reactions . International Journal of Heat and Mass Transfer , 37 : 673 – 680 .
  • Mikolaitis , D. W. 1986 . Adiabatic flame speeds and the Zel′dovich–Liñán model . Combustion Science and Technology , 49 : 277 – 288 .
  • Tam , R. Y. 1988 . Stretch response and large heat release in the Zel′dovich–Liñán model . Combustion Science and Technology , 60 : 125 – 142 .
  • Tam , R. Y. 1988 . Damköhler number ratio asymptotics of the Zel′dovich–Liñán model . Combustion Science and Technology , 62 : 297 – 309 .
  • Seshadri , K. and Peters , N. 1983 . The influence of stretch on a premixed flame with 2-step kinetics . Combustion Science and Technology , 33 : 35 – 63 .
  • Dold , J. W. , Thatcher , R. W. , Omon-Arancibia , A. and Redman , J. 2002 . From one-step to chain-branching premixed-flame asymptotics . Proceedings of the Combustion Institute , 29 : 1519 – 1526 .
  • Dold , J. W. , Daou , J. and Weber , R. 2004 . “ Reactive–diffusive stability of premixed flames with modified Zel′dovich–Liñán kinetics ” . In Simplicity, Rigor and Relevance in Fluid Mechanics , Edited by: Higuera , F. J. , Jimenez , J. and Vega , J. M. Barcelona : CIMNE publishers .
  • Dold , J. W. , Weber , R. O. , Thatcher , R. W. and Shah , A. A. 2003 . Flame balls with thermally sensitive intermediate kinetics . Combustion Theory and Modelling , 7 : 175 – 203 .
  • Abramowitz , M. and Stegun , I. A. 1972 . Handbook of Mathematical Functions , New York : Dover Publications .
  • Dold , J. W. , Thatcher , R. W. and Shah , A. A. 2003 . High order effects in one-step reaction-sheet jump conditions for premixed flames . Combustion Theory and Modelling , 7 : 109 – 127 .
  • http://www.softpredict.com COSILAB

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.