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Original Articles

One-Dimensional Propagation of a Premixed Turbulent Flame With a Balance Equation for the Flame Surface Density

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Pages 35-60 | Received 14 Mar 1991, Accepted 06 Jun 1992, Published online: 27 Apr 2007

References

  • Abdel–Gayed , R. G. , Bradley , D. , Hamid , M. N. and Lawes , M. ( 1984 ). Lewis number effects on turbulent burning velocity, Twentieth Symposium (Int.) on Combustion . The Combustion Institute , Pittsburgh , 505 – 512 .
  • Abdel–Gayed , R. G. , Bradley , D. , Lawes , M. ( 1987 ). Turbulent burning velocities a general correlation in terms of straining rates . Proc. Roy. Soc. London A 414 , 389 – 413 .
  • Anand , M. S. , and Pope , S. B. ( 1986 ). Calculation of premixed turbulent flames by pdf methods , Spring Meeting of the Central Section of the Combustion Institute .
  • Ashurst , W. , Sivashinsky , G. , Yakhot , V. ( 1988 ). Flame front propagation in nonsteady hydrodynamic fields. Comb. Sci. and Tech. 62 , 273 – 284 .
  • Bray , K. N. C. , Libby , P. A. and Moss , J. B. ( 1984 ). Flamelet crossing frequencies and mean reaction rates in premixed turbulent combustion models. Comb. Science and Tech. , 41 , 143 .
  • Bray , K. N. C. ( 1987 ). Methods of including realistic chemical reactants in turbulent reading flows. In Complex Chemical Reactions , J. Warnatz and W. Jäger eds. Springer Verlag , Heidelberg , 356 .
  • Bray , K. N. C. ( 1990 ). Studies of the turbulent burning velocity . Proc. Royal Soc. London A 431 , 315 – 335 .
  • Bray , K. N. C. , and Cant , R. S. ( 1991 ). Some applications of Kolmogorov's turbulence research in the field of combustion . Proc. Royal Soc. London A 434 , 217 – 240 .
  • Candel , S. M. , Veynante , D. , Lacas, E, Maistret , E. , Darabiha , N. , Poinsot , T. ( 1991 ). Coherent flamelet model applications and recent extensions . In Recent advances in Combustion Modelling , B. Larrouturou, ed. , World Scientific , Singapore , 19 – 64 .
  • Candel , S. M. , Poinsot , T. ( 1990 ). Flame stretch and the balance equation for the flame area . Comb. Science and Tech. 70 , 1 – 15 .
  • Clavin , P. and Williams , F. A. ( 1982 ). Effects of molecular diffusion and of thermal expansion on the structure and dynamics of premixed flames in turbulent flows of large scale and low intensity . J. Fluid Mechanics 116 , 251 – 282 .
  • Clavin , P. ( 1992 y). Turbulent flame propagation. To appear in Fluid dynamic aspects of combustion theory . M. Onorfi and A. Tesei, eds . Longman , New York .
  • Clavin , P. and Linan , A. ( 1984 ). Theory of gaseous combustion . In NATO ASI Series B, J. Velarde ed. , Plenum Press , New York , vol. 116 , 291 .
  • Damköhler , G. ( 1940 ). Der Einfluss der Turbulenz auf die Flammengeschwindigkeit in Gasgemischen . Z. f. Elektochem 46 , 601 – 652 . Also in English translation (1947). NACA Tech. Memo., n 1112 .
  • Darabiha , N. , Giovangigli, V, Trouvé , A. , Candel , S. M. and Esposito , E. ( 1987 ). Coherent flame description of turbulent premixed ducted flames . In Proceedings of the USA–France Workshop on Turbulent Reactive Flows, Rouen , July 1987 . Also in Turbulent Reactive Flows, R. Borghi and S.N.B. Murthy eds. Springer Verlag , New York . (1989) 591 – 637 .
  • Darabiha , N. , Giovangigli , V. , Candel , S. , and Smooke , M. ( 1988 ). Extinction of strained premixed propane air flames with complex chemistry . Comb. Sci. and Tech. 60 , 267 – 285 .
  • Dupoirieux , F. and Scherrer , D. ( 1985 ). Méthodes numériquesà convergence rapide utilisées pour le calcul des écoulements reactifs . In Numerical Simulation of Combustion Phenomena . R. Glowinski, B. Larrouturou and R. Temam. eds. , Springer Verlag , Berlin , Lect. Notes in Phys. , vol. 241 , 32 – 45 .
  • Giovangigli , V. , and Smooke , M. ( 1987 ). Extinction of strained premixed laminar flames with complex chemistry . Comb. Sci. and Tech. 53 , 23 .
  • Hakberg , B. and Gosman , A. D. ( 1984 ). Analytical determination of turbulent flame speed from combustion model . Twentieth Symposium (International) on Combustion , The Combustion Institute , Pittsburgh , 225 – 232 .
  • Kolmogorov , A. N. , Petrovski , I. G. and Piskunov , N. S. ( 1937 ). Bjul Moskovskovo Gos Univ. 1 ( 7 ), 1 – 72 .
  • Lacas , F. , Zikikout , S. and Candel , S. M. ( 1987 ). A comparison between calculated and experimental mean source terms in non–premixed turbulent combustion , 23rd Joint Propulsion Conf. , AIAA Paper 87 – 1782 .
  • Lacas , F. , Veynante , D. and Candel , S. M. ( 1989 ). A numerical study of propagating premised turbulent flames , In Numerical Combustion , A. Dervieux and B. Larrouturou eds. , Springer Verlag , Lect. Notes in Phys. , vol. 351 , 395 – 406 .
  • Libby , P. and Williams , F. A. eds. ( 1980 ). “ Turbulent Reactive Flows ”, Springer Verlag , New York .
  • Liu , Y. and Lenze , B. ( 1988 ). The influence of turbulence on the burning velocity of premixed CH4, H2 flames with different burning velocities . Twenty Second Symposium (Int.) on Combustion , The Combustion Institute , Pittsburgh , 747 – 754 .
  • Maistret , E. , Darabiha , N. , Poinsot, T, Veynante , D. , Lacas , F. , Candel , S. M. and Esposito , E. ( 1989 ). Recent developments in the coherent flamelet description of turbulent combustion , In Numerical Combustion , A. Dervieux and B. Larrouturou, eds. , Springer Verlag , Lect. Notes in Phys. , vol. 351 , 98 – 117 .
  • Marble , F E. and Broadwell , J. E. ( 1977 ). “ The coherent flame model for turbulent chemical reactions ”, Project Squid Report. TRW – 9 – PU, TRW, El Secundo .
  • Mantel ,. T. and Borghi , R. ( 1991 ). A new model of premixed wrinkled flame propagation based on a scalardissipation equation . ICDERS , Nagoya , Japan .
  • Mencveau , C. and Poinsot , T. ( 1991 ). Stretching and quenching of flamelets in premixed turbulent combustion . Combustion and Flame 86 , 311 – 332 .
  • Peters , N. ( 1987 ). Laminar flamelet concepts in turbulent combustion . Twenty first symposium (Int.) on Combustion , The Combustion Institute , Pittsburgh , 1231 – 1250 .
  • Poinsot , T. , Veynante , D. and Candel , S. M. ( 1990 ). Diagrams of premixed turbulent combustion based on direct simulation . Twenty Third Symposium (International) on Combustion . The Combustion Institute , Pittsburgh .
  • Poinsot , T. , Veynante , D. and Candel , S. M.L. ( 1991 ). Quenching processes and premised turbulent combustion diagrams . J. Fluid Mech. 228 , 561 – 606 .
  • Pope , S. B. ( 1987 ). Turbulent premixed flames . Annual Reviews of Fluid Mechanics , 19 , 237 – 270 .
  • Pope , S. B. ( 1988 ). International Journal of Engineering Science , 26 , 445 – 470 .
  • Pope , S. B. and Cheng , W. K. ( 1988 ). The stochastic flamelet model of turbulent premixed combustion . Twenty Second Symposium (International) on Combustion . The Combustion Institute , Pittsburgh , 781 – 789 .
  • Rogg , B. ( 1991 ). Modelling and numerical simulation of premixed turbulent combustion in a boundary layer . Turbulent Shear Flows 7 . Springer Verlag , Berlin . 345 – 355 .
  • Schelkin , K. I. ( 1947 ). NACA Tech. Memo. , n 1110 .
  • Veynante , D. , Lacas , F. and Candel , S. M. ( 1989 ). A new flamelet combustion model combining premixed and non–premixed turbulent flames , 27th Aerosp. Science Meeting , AIAA–89–0487 .
  • Veynante , D. , Candel , S. M. and Martin , J. P. ( 1987 ). Coherent flame modelling of chemical reaction in a turbulent mixing layer , In complex chemical reaction systems . J. Wamatz and W Jager, eds. , SpringerVerlag , Heidelberg , 386 – 398 .
  • Veynante , D. , Lacas , F. and Candel , S. M. ( 1991a ). Coherent flame model for nonuniformly premixed turbulent flames . Turbulent Shear Flows 7 . Springer Verlag , Berlin . 367 – 378 .
  • Veynante , D. , Lacas , F. and Candel , S. M. ( 1991b ). Numerical simulation of the transient ignition regime of a turbulent diffusion flame . AIAA Journal , 29 , 848 – 851 .
  • Williams , F A. ( 1985 ). “ Combustion Theory ”, Benjamin/Cummings .
  • Yakhot , V. ( 1988 ). Propagation velocity of premixed turbulent flames . Comb. Science and Tech. 60 , 191 – 214 .

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