Combustion waves for gases (Le = 1) and solids (Le → ∞)

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 453, Issue 1960, 1997, Pages 1105-1118

  Weber, R O ^a   Mercer, G N ^a   Sidhu, H S ^a   Gray, B F ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746757093     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1997.0062     Document Type: Article

References (11)

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2. Bayliss, A. & Matkowsky, B. J. 1994 From travelling waves to chaos in combustion. SIAM Jl Appl. Math. 54, 147-174.
3. Boddington, T., Cottrell, A. & Laye, P. G. 1989 A numerical model of combustion in gasless pyrotechnic systems. Combust. Flame 76, 63-69.
4. Bush, W. B. & Fendell, F. E. 1970 Asymptotic analysis of laminar flame propagation for general lewis numbers. Combust. Sci. Tech. 1, 421-428.
5. Frankel, M., Roytburd, V. & Shivashinsky, G. I. 1994 A sequence of period doublings and chaotic pulsations in a free boundary problem modeling thermal instabilities. SIAM Jl Appl. Math. 54, 1101-1112.
6. Keener, J. P. 1988 Principles of applied mathematics. Reading, MA: Addison-Wesley.
7. Matkowsky, B. J. & Shivashinsky, G. I. 1978 Propogation of a pulsating reaction front in solid fuel combustion. SIAM Jl Appl. Math. 35, 465-478.
8. Mercer, G. N., Weber, R. O., Watt, S. D. & Gray, B. F. 1996 Combustion psuedo-waves. Math. Comp. Model 24, 29-38.
9. Shkadinskii, K. G., Khaikin, B. I. & Merzhanov, A. G. 1971 Propogation of a pulsating exothermic reaction front in the condensed phase. Combust. Explosion Shock Waves 7, 15-22.
10. Volpert, A. I., Volpert, V. A. & Volpert, V. A. 1994 Travelling wave solutions of parabolic systems. Providence, RI: American Mathematical Society.
11. Williams, F. A. 1985 Combustion theory. New York: Benjamin.