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Non-adiabatic combustion waves for general Lewis numbers: wave speed and extinction conditions

Published online by Cambridge University Press:  17 February 2009

A. C. McIntosh ,
R. O. Weber  and
G. N. Mercer
A. C. McIntosh
Affiliation:
Fuel and Energy Department, University of Leeds, Leeds, LS2 9JT, U.K.
R. O. Weber
Affiliation:
School of Mathematics and Statistics, University College of New South Wales, ADFA, Canberra, ACT 2600, Australia; e-mail: row@adfa.edu.au.
G. N. Mercer
Affiliation:
School of Mathematics and Statistics, University College of New South Wales, ADFA, Canberra, ACT 2600, Australia; e-mail: row@adfa.edu.au.
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Abstract

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This paper addresses the effect of general Lewis number and heat losses on the calculation of combustion wave speeds using an asymptotic technique based on the ratio of activation energy to heat release being considered large. As heat loss is increased twin flame speeds emerge (as in the classical large activation energy analysis) with an extinction heat loss. Formulae for the non-adiabatic wave speed and extinction heat loss are found which apply over a wider range of activation energies (because of the nature of the asymptotics) and these are explored for moderate and large Lewis number cases—the latter representing the combustion wave progress in a solid. Some of the oscillatory instabilities are investigated numerically for the case of a reactive solid.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 1 , July 2004 , pp. 1 - 16
Copyright
Copyright © Australian Mathematical Society 2004

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