Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics

Combustion Theory and Modelling

Volumn 12, Issue 4, 2008, Pages 643-670

  Balasuriya, Sanjeeva ^a   Volpert, Vladimir A ^b  

^a The Holleran Center for Community Action and Public Policy   (United States)

^b Northwestern University   (United States)

Author keywords

Arrhenius; Combustion waves; Melnikov theory; Step function approximation; Wavespeed

Indexed keywords

COMBUSTION; COMPUTER SIMULATION; DYNAMICAL SYSTEMS; ELECTRIC NETWORK ANALYSIS; PIPE FLOW; SCHRODINGER EQUATION; SMOKE;

ANALYTICAL RESULTS; ARRHENIUS; ARRHENIUS KINETICS; COMBUSTION WAVE PROPAGATION; GASLESS COMBUSTION; MELNIKOV THEORY; NUMERICAL SIMULATIONS; SECOND ORDER REACTIONS; STEP FUNCTIONS; WAVE SPEEDS;

THERMOCHEMISTRY;

EID: 48249086564     PISSN: 13647830     EISSN: 17413559     Source Type: Journal    
DOI: 10.1080/13647830801968860     Document Type: Article

References (15)

1. Zeldovich, Ya. B., Barenblatt, G. I., Librovich, V. B. and Makhviladze, G. M. (1985) Consultants Bureau, New York
2. Merzhanov, A. G. and Khaikin, B. I. (1988) Theory of combustion waves in homogeneous media. 14, pp. 1-98.
3. Khaikin, B. I. and Merzhanov, A. G. (1966) Theory of thermal propagation of a chemical reaction front. 2, pp. 22-26.
4. Aldushin, A. P. and Kasparian, S. G. (1979) Thermodiffusional instability of a combustion front. 24, pp. 29-31.
5. Goldfeder, P. M., Volpert, V. A., Ilyashenko, V. M., Khan, A. M., Pojman, J. A. and Solovyov, S. E. (1997) Mathematical modeling of free-radical polymerization fronts. 101, pp. 3474-3482.
6. Perry, M. F., Volpert, V. A., Lewis, L. L., Nichols, H. A. and Pojman, J. A. (2003) Free-radical frontal copolymerization: The dependence of the front velocity on the monomer feed composition and reactivity ratios. 12, pp. 276-286.
7. Spade, C. A. and Volpert, V. A. (2000) On the steady-state approximation in thermal free radical frontal polymerization. 55, pp. 641-654.
8. Golovaty, D. (2007) On step-function reaction kinetics model in the absence of material diffusion. 67, pp. 792-809.
9. Melnikov, V. K. (1963) On the stability of the centre for time-periodic perturbations. 12, pp. 1-56.
10. Balasuriya, S., Gottwald, G., Hornibrook, J. and Lafortune, S. (2007) High Lewis number combustion wavefronts: A perturbative Melnikov analysis. 67, pp. 464-486.
11. Abramowitz, M. and Stegun, I. A. (1964) Dover, New York
12. Guckenheimer, J. and Holmes, P. (1983) Springer, New York
13. Wiggins, S. (1990) Springer-Verlag, New York
14. Fenichel, N. (1971) Persistence and smoothness of invariant manifolds for flows. 21, pp. 193-226.
15. Volpert, V. A. (1997) Combustion waves with wide reaction zones. 10, pp. 59-64.