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Original Articles

Numerical Simulation of Unsteady Laminar Flame Propagation via the Method of lines: Further Mathematical Refinements and Results Obtained on Halogen Inhibition

Pages 111-148 | Received 27 May 1983, Published online: 02 May 2007

References

  • Adams , G. K. , and Cook , G. B. ( 1959 ). The effect of pressure on the mechanism and speed of the hydrazinc decomposition flame . Combustion and Flame 4 , 9 .
  • BiordiJ , C. , Lazzara , C. P. , and Papp , J. F. ( 1973 ). Flame structure studies of CF2Br inhibited methane flames . Fourteenth Symposium (International) on Combustion , The Combustion Institude , Pittsburgh , p. 367 .
  • Biordi . J. C. , Lazzara , C. P. , and Papp , J. F. ( 1975 ). On the inhibition of low pressure quenched flames by CFaBr . Combustion and Flame 24 . 401 .
  • Biltncr , J. D. , and Howard , J. B. ( 1982 ). Mechanism of hydrocarbon decay in fuel-rich secondary reaction zone . Nineteenth Symposium (International) on Combustion , in press .
  • Bledjian , L. ( 1973 ). Computation of time-dependent laminar flame structure . Combustion and Flame 20 . 5 .
  • Brown , N. J. ( 1975 ). Halogen kinetics pertinent to flame inhibition: a review . In Halogenated Fire Suppressants, ACS Symposium Series No. 16 , R. G. , Gann (Ed.) , American Chemical Socicty .
  • Butlin , R. M. , and Simmons , R. I. ( 1968 ). Combustion and Flame 12 , 447 .
  • Clavin , P. ( 1981 ). Propriétpés dynamiques des fronts de flammes préméelangees . First Specialist Meeting (International) of the Cotmbusion (1980) Institute, Bordeaux , p. 130 .
  • Coffee , T. P. , and Heimed , J. M. ( 1981 ). Cumbastion and Flame 43 , 273 .
  • Cukier , R. I. , Schaibly , J. H. , and Shuler , K. E. ( 1975 ). J. Chem. Phys . 63 , 1140 .
  • Collar , A. B. ( 1962 ). Quart. J. Mech. Appl. Math . 15 , 265 .
  • Day , M. J. , Stamp , D. V. , Thompson , K. , and Dixon-Lewis , G. ( 1971 ). Inhibition of hydrogen- air and hydrogen-nitrous oxide flames by halogen compounds . Thirteenth Symposium (International) on Combustion , The Combustion Institute , Pittsburgh , p. 705 .
  • Dixon-Lewis , G. ( 1967 ). Flame structure and flame reaction kinetics. 1. Solution of conservation equations and application to rich hydrogen-oxygen flames . Proc. Roy. Soc. London 298A , 495 .
  • Dixon-Lewis , G. ( 1970 ). Flame structure and flame reaction kinetics. V. Investigation of reaction mechanism in a rich hydrogen+nitrogen+oxygen flame by solution of conservation equations . Proc. Ruy. Soc., London 317A , 235 .
  • Dixon-Lewis , G. ( 1979 ). Mechanism of inhibition of hydrogen-air flames by hydrogen bromide and its relevance to the general problem of flame inhibition . Combustion and Flame 36 , 1 .
  • Dixon-Lewis , G. , and Simpson , R. J. ( 1977 ). Aspects of flame inhibitions by halogen compounds . Sixteenth Sympostium (International) on Combustion , The Combustion Institute , Pittsburgh , p. 1111 .
  • Dixon-Lewis , G. , and Sheperd , I. G. ( 1975 ). Fifteenth Symposium (Inrernatioaul) on Combustion , The Combustion Institute , Pittsburgh , p. 1483 .
  • Ferguson , C. R. , and Keck , J. C. ( 1979 ). Stand-off distances on a flat flame burner . Combustion and Flame 34 , 85 .
  • Galant , S. , and Appleton . J. P. ( 1975a ). Theoretical investigation of inhibition phenomena in halogenated flames . In Halogenated Fire Suppressants , ACS Symposium Series, No. 16 , R. G. Gann (Ed.) , American Chemical Society .
  • Galant , S. ( 1975b ). Theoretical investigation of inhibition phenomena in halogenated flames.. Ph.D. Thesis , Mechanical Eng. Dpt , MIT .
  • Galant , S. ( 1981a ). An improved method of lines to compute time-dependent laminar flame structure . Eighteenth Symposium (International) on Combustion , The Combustion Institute . Pittsburgh . P. 1451 .
  • Galant , S. ( 1981b ). Multiplicity and stability of burner stabilized premixed laminar flames: a general proof . Eighteenth Symposium (International) on Combustion , The Combustion Institute . Pittsburgh . P. 1343 .
  • Galant , S. , Karian , J. , and Reybillet M. ( 1982 ). Un modéle de soufflage de flamme en prfsence de gouttelettes d'eau . Bertin Report , to appear .
  • Galant , S. ( 1982 ). Une corrflation de soufflage de flamme soumise à un écoulement traversier . Berlin Report , to appear .
  • Galant , S. , and Chaix , J. M. ( 1981 ). Modéle de propagation instationnaire de déflagrations sphéeriques dans les mélanges air-poudres combustibles: applications aux mélanges charbon-air . First Specialist Meeting (Internstunal) of the Cumbustion Institute Rordeaux , p. 43 .
  • Gear , C. W. ( 1971 a). Numerical initial Value Problems in Ordinary Diferential Eqnations . Prentice-Hall .
  • Gear , C.W. ( 1971b ). The effect of variable mesh size on the stability of multistep methods. Department of Computer Science . University of Illinois at Urbana-Chamnaign . Report UIV-CDCS-R–73–370 .
  • Gear , C.W. ( 1971b ). Stability and convergence of variable order multistep methods . Department of Computer Science, University of illinois at Urbana-Champaign , Report UIV-CDCS-R-73–571
  • Hindmarsh , A. C. ( 1977 ). Solution of block-tridiagonal systems of linear equations . Lawrence Livermore Laboratory Report , UCID-30150 .
  • Hirschfelder , J. O. , Curtiss , C. F. , and Campbell , D. F. ( 1953 ). The theory of flame propagation IV . J. PhYs. Chem . 57 , 403 .
  • Hirschfelder , J. O. , Curtiss , C. F. , and Bird , R. B. ( 1964 ). Molecular Theory of Gases and Liquids. , 2nd ed .. John Wiley and Sons , New York .
  • Hicks , J. S. , and Wei , J. ( 1967 ). JACM 14 , 549 .
  • Homann , K. H. , and Poss , R. ( 1971 ). Combustion and Flame 18 , 300 .
  • Houll , D. , and Wong , V. W. ( 1980 ). In Combustion Modeling in Reciprocuting Engines , J. N. Mattavi and C. A. A. Aniann (Eds.) , p. 131 .
  • Jonaf Thermachemical Tables ( 1971 ). U.S. National Bureau of Standards Publication NSRDS-NBS 37 and supplement . D. R. Scull and H. Prophe (Eds.) .
  • Joulin . G. , and Clavin . P. ( 1979 ). Linear stability analysis o f non-adiabatic flames: diffusional-thermal model . Combustion and Flame 35 . 139 .
  • Krogh . F. T. ( 1966 ). JACM 13 , 374 .
  • Krogh . F. T. ( 1973 ). JACM 20 . 545 .
  • Lambert . J. D. ( 1973 ). Computational in Ordinary Differential Equvation . John wiley and sons .
  • Lerner . N. R. , and Ceglioslro . D. F. ( 1973 ). Combustion and Flame 21 , 315 .
  • Lovachev , L. A. , Gonlkovskaya . V. T. , and Ozerkovskaya , N.I. ( 1977 ). Kinetics of hydrogen oxidations. Part 2: hydrogen bromide both as inhibitor and catalyst of self-ignition . Comb.Sri. and Tech . 17 , 143 .
  • Lovachev . L. A. , and Lovachev . L. N. ( 1978 ). Kinetics of hydrogen oxidation. Part 3: catalysis with hydrogen bromide . Comb. Sri. and Tech . 18 . 191 .
  • Lovachev , L. A. , and Lovacliev , L. N. ( 1979 ). Kinetics of hydrogen oxidation. Part 4: inhibition and catalysis at high degrees of conversion . Comb. Sci. and Tech 19 , 195 .
  • Lintin , 0. R. , and Wooding , F. R. ( 1959 ). Brirish Appl. Phys . 10 . 159 .
  • Miller . J. A. , Mitchell , R. E. , Smooke , R. D. , and Kee . R. J. ( 1982 ). Toward a comprehensive chemical kinetic mechanism for the oxidation o f acetylure: comparison of model predictions with results from flame and shock tube experiment . Presented at the Nineteenth Symposium (International) on Combustion . Haifa ( 1982) .
  • Margolis , S. B. ( 1978 ). Time-dependent solution of premixed laminar flame . J. Comp. Phys . 27 , 410 .
  • Margolis . S. B. ( 1980 ). Theoretical analysis of steady. nonadiabatic premixed liminar flames . J. Appl. Math . 38 , 61 .
  • Margolis . S. B. , and Matkowsky . B. J. ( 1981 ). Flame propagation with multiple fuels . Sandia Laborotories Report 80–8820 .
  • Mason , E. A. , and Jaxena . S. C. ( 1958 ). Phys. of Fluids . 1 . 361 .
  • Padley , P. J. , and Sugden , T. M. ( 1958 ). Seventh Symposium (International) on Combustion , Butter-worth , London .P. 235 .
  • Prokopukis . G. J. , and Selder , W. D. ( 1981 ). Adaptive semi-implicit Range-Kutta method for solution of stiff ordinary differential equations . Ind. Eng. Chem. Fluid . 20 , 255 .
  • Reitz . R. ( 1981 ). Computations o f laminar flame propagation using an explicit numerical method . Eigheenth (International) Symposium on Combustion , The Combustion Institute , Pittsburg ,p. 433 .
  • Spalding , D. B. ( 1956 ). The theory of flame phenomena with a chain reaction . Phil. Trans. Ruy. Soc ., London 249A , 1 .
  • Spalding , D. B. , and Stephenson , P. L . ( 1971 ). Laminar flame propagation in hydrogen + bromine mixtures . Proc. Roy. Soc ., London A324 , 315 .
  • Stephenson , P. L. , and Taylor , R. G. ( 1973 ). Combustion and Flame 20 , 231 .
  • Svehla , R. A. ( 1962 ). Estimated viscosities and inermal conductivities of gases at high temperatures . NASA Technical Report R-132 .
  • Seigneur , C. , Stephanopoulos . G. , and Carr , R. W. ( 1982 ). Dynamic sensitivity analysis of chemical reaction systems: a variational method . Chem. Eng. Science 37 , p. 345 .
  • Warnatz . J. ( 1978 ). Calculation of the structure of laminar flat flame. 111: Structure of burner. Stabilized hydrogen-oxygen and hydrogen-fluorine flames . Ber. Bunsenges. Phy. Chem . 82 , 834 .
  • Westbrook , C. K. ( 1980 ). Inhibition of laminar methane-air and methanol-air flames by hydrogen bromide . Comb. Sci. and Tech . 23 , 191 .
  • Westbrook , C. K. , and Dryer , F. L. ( 1979 ). A comprehensive mechanism for methanol oxidation . Comb. Sci. and Tech . 23 , 125 .
  • Westbrook , C. K. , and Dryer , F. L. ( 1980 ). Prediction of laminar flame properties of methanol-air mixtures . Combustion and Flame 37 , 171 .
  • Westbrook . C. K. , and Dryer , F. L. ( 1981 ). Chemical kinetics and modeling of combustion processes . Eighteenth Symposium (International) on Combustion . The Combustion Institute . Pittsburgh , p. 749 .

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