Flame Stabilization in a Layered Medium

References

• Buckmaster , J. D. (1983). Stability of the porous plug burner flame , to appear .
   Google Scholar
• Carrier , G. F. , Fendell , F. E. , and Bush , W. B. ( 1978 ). Stoichiometry and flameholder elfects on a one-dimensional flame , Combust, Sci. Technol , 18 , 33 .
   Web of Science ®Google Scholar
• Clarke , J. F. , and McIntosh , A. C. ( 1980 ). The influence of a flameholder on a plane flame, including its static stability , Proc, Roy. Soc. Lond . A372 , 367 .
   Google Scholar
• Feng , C. C. , Lam , S. H. , and Glassman , I. ( 1975 ). Flame propagation through layered fuel-air mixtures , Combust. Sci. Technol . 10 , 59 .
   Web of Science ®Google Scholar
• Ferguson , C. R. , and Keck , J. C. ( 1979 ). Stand-off distances on a flat flame burner , Combust, Flame 34 , 85 .
   Web of Science ®Google Scholar
• Hirano , T. , and Suzuki , T. ( 1980 ). Theoretical simulation of gas movements in front of propagating flames through layered flammable mixtures , Combust, Sci. Technol . 23 , 215 .
   Web of Science ®Google Scholar
• Hirano , T. , Suzuki , T. , Mashiko , I. , and lwai , K. ( 1977 ). Flame propagation through mixtures with concentration gradient , Sixteenth Symposium (International) all Combustion , pp. 1307 – 1315 .
   Google Scholar
• Ishikawa , N. ( l983a ). A diffusion combustor and methane-air flame propagation in concentration gradient fields , Combust, Sci. Technol . 30 , 185 .
   Web of Science ®Google Scholar
• Ishikawa , N. ( l983b ). Combustion of stratified methane/air layers . Combustion Sci. Technol , 30 , 311 .
   Web of Science ®Google Scholar
• Kaptein , M. , and Hermance , C. E. ( 1977 ). Horizontal propagation of laminar flames through vertically diffusing mixtures above a ground plane , Sixteenth Symposium (International ) all Combustion , pp. 1295 – 1306 .
   Google Scholar
• Karim , G. A. , and Tsang , P. ( 1975 ). Flame propagation through atmospheres involving concentration gradients formed by mass transfer phenomena , J. Fluids Engineering , 97 , 615 .
   Web of Science ®Google Scholar
• Liebman , I. , Corry , J. , and Perlee , H. E. ( 1970 ). Flame propagation in layered methane-air systems , Combust, Sci. Technol . 1 , 257 .
   Google Scholar
• Margolis , S. B. ( 1980 ). Bifurcation phenomena in burner-stabilized premixed flames , Combust, Sci. Technol . 22 , 143 .
   Web of Science ®Google Scholar
• Margolis , S. B. ( 1982 ). Lean flame propagation with competing chemical reactions , Combust, Sci. Technol . 28 , 107 .
   Web of Science ®Google Scholar
• Margolis , S. B. , and Matkowsky , B. J. ( 1983 ). Nonlinear stability and bifurcation in the transition from laminar to turbulent flame propagation , Combust. Sci. Technol ., to appear .
   Web of Science ®Google Scholar
• Margolis , S. B. , and Sivashinsky , G. I. ( 1983 ). Flame propagation in vertical channels: bifurcation to bimodal cellular flames , SIAM J. Appl. Math ., to appear .
   Web of Science ®Google Scholar
• Matkowsky , B. J. , and Olagunju , D. O. ( 1981 ). Pulsations in a burner-stabilized premixed plane flame , SIAM J. Appl. Math . 4O , 551 .
   Web of Science ®Google Scholar
• Matkowsky , B. J. , Putnick , L. J. , and Sivashinsky , G. I. ( 1980 ). A nonlinear theory of cellular flames , SIAM J. Appl. Math . 38 , 489 .
   Web of Science ®Google Scholar
• Matkowsky , B. J. , and Reiss , E. L. ( 1977 ). Singular perturbations of bifurcations , SIAM J. Appl, Math . 33 , 230 .
   Web of Science ®Google Scholar
• Matkowsky , B. J. , and Sivashinsky , G. I. ( 1979 ). An asymptotic derivation of two models in flame theory associated with the constant density approximation , SIAM J. Appl. Math . 37 , 686 .
   Web of Science ®Google Scholar
• Phillips , H. ( 1965 ). Flame in a buoyant methane layer , Tenth Symposium (International) on Combustion , 1277 .
   Google Scholar
• Sivashinsky , G. I. ( 1977 ). Diffusional-thermal theory of cellular flames , Combust. Sci. Technol . 15 , 137 .
   Web of Science ®Google Scholar
• Sivashinsky , G. I. ( 1979 ). On self-turbulization of a laminar flame , Acta Astronautica 6 , 569 .
   Web of Science ®Google Scholar
• Sivashinsky , G. I. ( 1983 ). Instabilities, pattern formation and turbulence in flames , Annual Review of Fluid Mechanics , Vol. 15 , pp. 179 – 199 .
   Web of Science ®Google Scholar