The effect of Lewis number variation on combustion waves in a model with chain-branching reaction

Journal of Mathematical Chemistry

Volumn 44, Issue 3, 2008, Pages 816-830

  Gubernov, V V ^a   Sidhu, H S ^b   Mercer, G N ^b   Kolobov, A V ^a   Polezhaev, A A ^a  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Chain branching; Combustion waves; Linear stability

Indexed keywords

EID: 51849123005     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-008-9363-x     Document Type: Article

References (16)

1. Y.B. Zeldovich, Teorii rasprostranenia plameni. Zh. Phys. Khim. 22, 27-49 (1948)
2. A. Liñán, A theoretical analysis of premixed flame propagation with an isothermal chain-branching reaction. Insituto Nacional de Technica Aerospacial "Esteban Terradas" (Madrid), USAFOSR Contract No. E00AR68-0031, Technical Report No. 1 (1971)
3. G. Joulin A. Liñán G.S.S. Ludford N. Peters C. Schmidt-Lainé 1985 Flames with chain-branching/chain-breaking kinetics SIAM J. Appl. Math. 45 420 434
4. B.H. Chao C.K. Law 1994 Laminar flame propagation with volumetric heat loss and chain branching-termination reactions Int. J. Heat Mass Transfer 37 673 680
5. G. Joulin P. Clavin 1979 Linear stability analysis of nonadiabatic flames: a thermal-diffusional model Combust. Flame 1979 139 153
6. K. Seshardi N. Peters 1983 The influence of stretch on a premixed flame with two-step kinetics Combust. Sci. Technol. 33 35 63
7. D.W. Mikolaitis 1986 Adiabatic flame speeds and the Zeldovich- Liñán model Combust. Sci. Technol 49 277 288
8. R.Y. Tam 1988 Stretch response and large heat release in the Zeldovich-Liñán model Combust. Sci. Technol. 60 125 142
9. R.Y. Tam 1988 Damköler-number ratio asymptotics of the Zeldovich-Liñán model Combust. Sci. Technol. 62 297 309
10. J.W. Dold, Premixed flames modelled with thermally sensitive intermediate branching kinetics. Combust. Theor. Model published online (2007)
11. V.V. Gubernov H.S. Sidhu G.N. Mercer 2006 Combustion waves in a model with chain branching reaction J. Math. Chem. 39 1 14
12. V.V. Gubernov G.N. Mercer H.S. Sidhu R.O. Weber 2004 Evans function stability of nonadiabatic combustion waves Proc. R. Soc. Lond. A 460 1259 1275
13. V.V. Gubernov, H.S. Sidhu, G.N. Mercer, Combustion waves in a model with chain branching reaction and their stability. Submitted to Combust. Theor. Model (2007)
14. J.W. Evans 1972 Nerve axon equations: III stability of the nerve impulses Indiana Univ. Math. J. 22 577 593
15. V.V. Gubernov G.N. Mercer H.S. Sidhu 2006 Generalized compound matrix method Appl. Math. Lett. 19 458 463
16. R.O. Weber G.N. Mercer H.S. Sidhu B.F. Gray 1997 Combustion waves for gases (Le = 1) and solids (Le → ∞) Proc. R. Soc. Lond. A 453 1105 1118