# Oscillatiory combustion waves in a chain branching model

Authors
Publisher
ANZIAM Journal
Publication Date
Source
legacy-msw
Disciplines
• Chemistry

## Abstract

We consider an adiabatic model with a two step chain branching reaction mechanism, and use a numerical scheme to show that as the parameter characterizing the fuel properties is increased, the combustion waves begin to exhibit oscillatory behaviour. We show that this behaviour becomes more complex as the fuel parameter is further increased until extinction of the combustion reaction occurs. References A. Bayliss and B. J. Matkowsky, Two routes to chaos in condensed phase combustion, SIAM J. Appl. Math., 50, 1990, 437--459. http://epubs.siam.org/SIAP/siap_toc.html J. W. Dold and R. O. Weber, Reactive-Diffusive stability of planar flames with modified Zeldovich-Linan kinetics. In: F.J. Higuera, J. Jime'nez and J.M. Vega (Eds), Simplicity, Rigor and Relevance in Fluid Mechanics: A volume in honor of Amable Linan, CIMNE (Barcelona), 2004. C. -G. Feng, Q. -X. Zeng, L. -Q. Wang and X. Fang, Study of the mechanism of oscillatory solid-phase combustion by a non-linear chemical kinetic model, J. Chem. Soc. Faraday Trans., 1996, 92, 2971--2975. doi:10.1039/FT9969202971 V. V. Gubernov, G. N. Mercer, H. S. Sidhu and R. O. Weber, Evans function stability of nonadiabatic combustion waves, Proc. R. Soc. Lond. A, 460, 2004, 2415--2435.doi:10.1098/rspa.2004.1285 V. V. Gubernov, H. S. Sidhu, and G. N. Mercer, Combustion waves in a model with chain branching reaction and their stability, Combust. Theory Mod., 12, 2008, 407--431. doi:10.1080/13647830701716948 V. V. Gubernov, H. S. Sidhu, and G. N. Mercer, Combustion waves in a model with chain branching reaction, J. Math. Chem., 39, 2006, 1--14. doi:10.1007/s10910-005-9000-x D. W. Mikolaitis, Adiabatic flame speeds and the {Z}eldovich-{L}inan model, Combust. Sci. and Tech., 49, 1986, 277--288.doi:10.1080/00102208608923918 A. G. Merzhanov and E. N. Rumanov, Physics of reaction waves, Rev. Mod. Phys., 71, 1999, 1173--1211. H. S. Sidhu, V. V Gubernov and G. N. Mercer, Analysing combustion waves in a model with chain branching, In Geoffry N. Mercer ¬†and A. J. Roberts, editors, Proceedings of the 8th Biennial Engineering Mathematics and Applications Conference, EMAC-2007, vol 49 of ANZIAM J., October 2007, pages C100-C115, http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/310 R. O. Weber, G. N. Mercer, H. S. Sidhu and B. F. Gray, Combustion waves for gases ($Le = 1$) and solids ($Le \rightarrow 1$), Proc. R. Soc. Lond. A, 453, 1997, 1105--1118. doi:10.1098/rspa.1997.0062

Seen <100 times

# More articles like this

Jul 18, 2007

May 18, 2007

May 18, 2007

## Modeling of propylene polymerization with long cha...

2014
More articles like this..