Daniel Campos et al 2004 J. Phys. A: Math. Gen. 37 6609 doi:10.1088/0305-4470/37/26/001
Daniel Campos1, Josep Enric Llebot1 and Joaquim Fort2
Show affiliationsWe focus on a reaction–diffusion approach proposed recently for experiments on combustion processes, where the heat released by combustion follows first-order reaction kinetics. This case allows us to perform an exhaustive analytical study. Specifically, we obtain the exact expressions for the speed of the thermal pulses, their maximum temperature and the condition of self-sustenance. Finally, we propose two generalizations of the model, namely, the case of several reactants burning together, and that of time-delayed heat conduction. We find an excellent agreement between our analytical results and simulations.
Issue 26 (2 July 2004)
Received 28 January 2004, in final form 14 April 2004
Published 16 June 2004
Daniel Campos et al 2004 J. Phys. A: Math. Gen. 37 6609
G Q Yu et al 2003 J. Phys. D: Appl. Phys. 36 1355
Jürgen Blum et al 1999 Meas. Sci. Technol. 10 836
M V Berry 1996 J. Phys. A: Math. Gen. 29 6617
E Kanoulas et al 2007 Phys. Med. Biol. 52 5443
Jonathan P. Williams and Philip C. Myers 1999 ApJ 518 L37
G. Durand et al 2004 Europhys. Lett. 67 1038
Mallory S. E. Roberts et al. 2003 ApJ 588 992
J. E. Dickens et al. 2000 ApJ 542 870
Simon Davis 2001 Class. Quantum Grav. 18 3395