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Combustion Science and Technology Volume 1, 1970 - Issue 6
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Original Articles

Asymptotic Analysis of Laminar Flame Propagation for General Lewis Numbers

WILLIAM B. BUSH University of Southern California, Los Angeles, California
&
FRANCIS E. FENDELL TRW Systems, Redondo Beach, California
Pages 421-428 | Received 23 Jan 1970, Published online: 10 May 2007

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Marcos Vera & Amable Liñán. (2023) Large Activation Energy Analysis of Nonadiabatic Strained Premixed Laminar Flames with Nonunity Lewis Numbers. Combustion Science and Technology 195:15, pages 3707-3752.
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J. H. M. ten Thije Boonkkamp, L. P. H. de Goey, J. A. van Oijen, A. G. Class & Y. Bronner. (2008) Two Quasi-One-Dimensional Descriptions of Premixed Flames Based on Flame Coordinates. Combustion Science and Technology 180:8, pages 1449-1477.
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G J Sharpe. (2003) Linear stability of planar premixed flames: Reactive Navier–Stokes equations with finite activation energy and arbitrary Lewis number. Combustion Theory and Modelling 7:1, pages 45-65.
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J Billingham & G N Mercer. (2001) The effect of heat loss on the propagation of strongly exothermic combustion waves. Combustion Theory and Modelling 5:3, pages 319-342.
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D G Lasseigne, T L Jackson & L Jameson. (1999) Stability of freely propagating flames revisited. Combustion Theory and Modelling 3:4, pages 591-611.
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T. POINSOT, T. ECHEKKI & M. G. MUNGAL. (1992) A Study of the Laminar Flame Tip and Implications for Premixed Turbulent Combustion. Combustion Science and Technology 81:1-3, pages 45-73.
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G. CARRIER, F. FENDELL, K. CHEN & M. VAZIRANI. (1991) Evaluating a Simple Model for Laminar-Flame-Propagation Rates. I. Planar Geometry. Combustion Science and Technology 79:4-6, pages 207-227.
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C. MCINTOSH & S. A. WILCE. (1991) High Frequency Pressure Wave Interaction with Premixed Flames. Combustion Science and Technology 79:1-3, pages 141-155.
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B. ROGG. (1986) Short Communication. Combustion Science and Technology 45:5-6, pages 317-329.
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B. ROGG & F. A. WILLIAMS. (1985) Asymptotic Analysis of Laminar Flame Propagation with Variable Transport Coefficients. Combustion Science and Technology 42:5-6, pages 301-316.
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PEDRO GARCÍA-YBARRA, COLETTE NICOLI & PAUL CLAVIN. (1984) Soret and Dilution Effects on Premixed Flames. Combustion Science and Technology 42:1-2, pages 87-109.
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Stephen B. Margolis & Bernard J. Matkowsky. (1983) Nonlinear Stability and Bifurcation in the Transition from Laminar to Turbulent Flame Propagation. Combustion Science and Technology 34:1-6, pages 44-77.
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G. JOULIN & G. I. SIVASHINSKY. (1983) On the Dynamics of Nearly-Extinguished Non-Adiabatic Cellular Flames. Combustion Science and Technology 31:1-2, pages 75-90.
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WARRENC. STRAHLE. (1982) Estimation of Some Correlations in a Premixed Reactive Turbulent Flow. Combustion Science and Technology 29:3-6, pages 243-260.
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STEPHENB. MARGOLIS. (1982) Lean Flame Propagation with Competing Chemical Reactions† . Combustion Science and Technology 28:3-4, pages 107-119.
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G. JOULIN. (1981) Conductive Interactions of a Wrinkled Flame with a Cold Flat Burner. Combustion Science and Technology 27:1-2, pages 83-86.
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D. MIKOLAITIS & J. BUCKMASTER. (1981) Flame Stabilization in a Rear Stagnation Point Flow. Combustion Science and Technology 27:1-2, pages 55-68.
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R. A. ALLISON & J. F. CLARKE. (1981) Theory of a Hydrogen–Oxygen Diffusion Flame Part II: Large Activation Energy Asymptotics. Combustion Science and Technology 25:3-4, pages 97-108.
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WILLIAMB. BUSH, FRANCISE. FENDELL & STANTONF. FINK. (1980) Effect of Boundary Thermal Constraint on Planar Premixed-Flame/Wall Interaction. Combustion Science and Technology 24:1-2, pages 53-70.
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WILLIAMB. BUSH. (1980) Stoichiometry Effects on a One-Dimensional Flame. Combustion Science and Technology 23:5-6, pages 263-266.
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B. DESHAIES & G. JOULIN. (1980) Asymptotic Study of an Excess-Enthalpy Flame. Combustion Science and Technology 22:5-6, pages 281-285.
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STEPHENB. MARGOLIS. (1980) Bifurcation Phenomena in Burner-Stabilized Premixed Flames. Combustion Science and Technology 22:3-4, pages 143-169.
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A. K. SEN & G. S. S. LUDFORD. (1979) The Near-Stoichiometric Behavior of Combustible Mixtures Part I: Diffusion of the Reactants†. Combustion Science and Technology 21:1-2, pages 15-23.
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GEORGEF. CARRIER, FRANCISE. FENDELL & WILLIAMB. BUSH. (1979) Interaction of a Planar Premixed Flame with a Parallel Adiabatic End Wall. Combustion Science and Technology 20:5-6, pages 195-207.
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TADAO TAKENO & KENJI SATO. (1979) An Excess Enthalpy Flame Theory. Combustion Science and Technology 20:1-2, pages 73-84.
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J. BUCKMASTER. (1979) A Mathematical Description of Open and Closed Flame Tips. Combustion Science and Technology 20:1-2, pages 33-40.
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GEORGEF. CARRIER, FRANCISE. FENDELL & WILLIAMB. BUSH. (1978) Stoichiometry and Flameholder Effects on a One-Dimensional Flame. Combustion Science and Technology 18:1-2, pages 33-46.
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G. S. S. LUDFORD, D. W. YANNITELL & J. D. BUCKMASTER. (1976) The Decomposition of a Cold Monopropellant in an Inert Atmosphere. Combustion Science and Technology 14:4-6, pages 133-146.
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AMABLE LIN¯ÁN & ANTONIO CRESPO. (1976) An Asymptotic Analysis of Unsteady Diffusion Flames for Large Activation Energies. Combustion Science and Technology 14:1-3, pages 95-117.
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JOHNF. CLARKE. (1975) The Pre-Mixed Flame with Large Activation Energy and Variable Mixture Strength: Elementary Asymptotic Analysis. Combustion Science and Technology 10:5-6, pages 189-194.
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WILLIAMB. BUSH & FRANCISE. FENDELL. (1971) Asymptotic Analysis of the Structure of a Steady Planar Detonation. Combustion Science and Technology 2:5-6, pages 271-285.
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Su Ryong Lee & Jong Soo Kim. The Asymptotic Structure of Strained Chain-Branching Premixed Flames Under Nonadiabatic Conditions. Combustion Science and Technology 0:0, pages 1-27.
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