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Original Articles

Application of Continuation Methods to Plane Premixed Laminar Flames

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Pages 241-256 | Received 10 Sep 1991, Published online: 27 Apr 2007

References

  • Bregeon , B. , Gordon , A. S. , and Williams , F. A. ( 1978 ). Near‐limit downward propagation of hydrogen and methane flames in oxygen‐nitrogen mixtures , Comb. and Flame , 33 , 33 .
  • Buckmaster , J. ( 1982 ). The quenching of a deflagration wave held in front of a bluff body, Seventeenth Symposium (International) onCombustion , Reinhold , New York . p. 835 .
  • Carter , N. R. , Cherian , M. A. , and Dixon‐Lewis , G. ( 1982 ). Flames near rich flammability limits, with particular reference to the hydrogen‐air and similar systems, in Numerical Methods in Laminar Flame Propagation , (eds. N. Peters and J. Warnatz ), Vieweg .
  • Gerstein , M. and Stine , W. B. ( 1973 ). Analytical criteria for flammability limits, Fourteenth Symposium (International) on Combustion , Reinhold , New York , p. 1109 .
  • Giovangigli , V. and Smooke , M. D. ( 1987 ). Extinction of strainedpremixed laminar flames with complex chemistry , Comb. Sci. and Tech. , 53 , 23 .
  • Giovangigli , V. and Darabiha , N. ( 1988 ). Vector computers and complex chemistry combustion, in Proceedings of the Conference on Mathematical Modeling in Combustion , April 1987 , Lyon , France , NATO ASI Scries.
  • Giovangigli , V. and Smooke , M. D. ( 1989 ). Adaptive continuation algorithms with application to combustion problems , Appl. Num. Math. , 5 , 305 .
  • Giovangigli , V. ( 1990 ). Mass conservation and singular multicomponent diffusion algorithms , IMPACT Comp. Sci. Eng. , 2 , 73 .
  • Ishizuka , S. and Law , C. K. ( 1982 ). An experimental study on extinction and stability of stretched premixed flames, Nineteenth Symposium (International) on Combustion , Reinhold , New York , p. 327 .
  • Joulin , G. and Clavin , P. ( 1976 ). Analyse asymplotique des conditions d'extinction des flammes laminaires , Acta Astronautica , 3 , 223 .
  • Lakshmisha , K.N. , Paul , P. J. , Rajan , N. K. , Goyal , G. , and Mukunda , H. S. ( 1988 ). Behavior of methane‐oxygen‐nitrogen mixtures near flammability limits, Twenty‐Second Symposium (International) on Combustion , Reinhold , New York , p. 1573 .
  • Lewis , B. and von Elbe , G. ( 1961 ). Combustion. Flames and Explosions of Gases , Academic Press.
  • Libby , P. A. and Williams , F. A. ( 1984 ). Strained premixed laminar flames with two reaction zones. Comb. Sci. and Tech. , 37 , 221 .
  • Lovachev , L. A. , Babkin , V. S. , Bunev , V. A. , V'yun , A. V. , Krivulin , V. N. , and Baratov , A. N. ( 1973 ) Flammability limits: an invited review , Comb. and Flame , 20 , 259 .
  • Lovachev , L. A. ( 1979 ) Flammability limits—a review , Comb. Sci and Tech. , 20 , 209 .
  • Ma˘ek , A. ( 1979 ) Flammability limits: a re‐examination , Comb. Sci and Tech. , 21 , 43 .
  • Mayer , E. ( 1957 ). A theory of flame propagation limits due to heat loss. Comb. and Flame , 1 , 438 .
  • Miller , J. A. , Mitchell , R. E. , Smooke , M. D. , and Kee , R. J. ( 1982 ) . Toward a comprehensive chemical kinetic mechanism for the oxidation of acetylene: comparison of model predictions with results from flame and shock tube experiments , Nineteenth Symposium (International) on Combustion , Reinhold , New York , p. 181 .
  • Miller , J. A. , Smooke , M. D. , Green , R. M. , and Kee , R. J. ( 1983 ) Kinetic modeling of the oxidation of ammonia in flames. Comb. Sci. and Tech. , 34 , 149 .
  • Peters , N. and Smooke , M. D. ( 1985 ). Fluid dynamic‐chemical interactions at the lean flammability limit , Comb. and Flame , 60 , 171 .
  • Puri , I. , Seshadri , K. , Smooke , M. D. , and Keyes , D. E. ( 1987 ). A comparison between numerical calculations and experimental measurements of the structure of a counterflow methane‐air diffusion flame , Comb. Sci. Tech. , 56 , 1 .
  • Sato , J. ( 1982 ). Effects of Lewis number on extinction behavior of premixed flames in a stagnation flow, Nineteenth Symposium (International) on Combustion , Reinhold , New York . p. 1541 .
  • Sibulkin , M. and Frendi , A. ( 1990 ). Prediction of flammability limit of an unconfined premixed gas in the absence of gravity , Comb. and Flame , 82 , p. 334 .
  • Sivashinsky , G. J. ( 1976 ). On a distorted flame front as a hydrodynamic discontinuity. ACTA Asironautica , 3 , 889 .
  • Smooke , M. D. ( 1982 ). Solution of burner stabilized premixed laminar flames by boundary value methods. J. Comp. Phys. , 48 , 72 .
  • Smooke , M. D. , Miller , J. A. and Kee , R. J. ( 1983 ). Determination of adiabatic flame speeds by boundary value methods , Comb. Sci.and Tech. , 34 , 79 .
  • Spalding , D. B. ( 1957 ). A theory of inflammability limits and flame‐quenching, Proc. Roy. Soc. , London A240 , 83 .
  • Strehlow , R. A. ( 1985 ). Combustion Fundamentals , McGraw‐Hill .
  • Westbrook , C. K. and Dryer , F. L. ( 1984 ). Chemical kinetic modelling of hydrocarbon combustion. Prog. Energy Comb. Sci. , 10 , 1 .
  • Williams , F. A. ( 1985 ) . Combustion Theory , Benjamin/Cummings Pub. Co.
  • Zeldovich , Y. B. ( 1941 ). On the quiet flame propagation , Z. Eksp. Tear. Fiz. , 11 , 159 .

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