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ANZIAM J.
46 (2004), 1-16 | ||||||||
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Non-adiabatic combustion waves for general Lewis numbers: wave speed and extinction conditions
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| Abstract | ||||||||
| 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.
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