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The present work is a continuation of previous studies of premixed gas flames
spreading through a space-periodic array of large-scale vorticities, and is motivated by the
experimentally known phenomenon of flame extinction by turbulence. The prior work dealt
with the strongly non-stoichiometric limit where the reaction rate is controlled by a single
(deficient) reactant. In the present study the discussion is extended over a physically more
realistic formulation based on a bimolecular reaction...
The paper is concerned with an extension of the classical relation between the
flame speed and the curvature-flow stretch, valid only for high Lewis numbers (diffusively
stable flames). At low Lewis numbers the corresponding flame-flow system suffers
short-wavelength instability, making the associated initial value problem ill-posed. In this study
the difficulty is resolved by incorporation of higher-order effects. As a result one ends up with
a reduced model based on a coupled system of second-order...
The experimentally known phenomenon of oscillatory instability in convective burning of
porous explosives is discussed. A simple phenomenological model accounting for the
ejection of unburned particles from the consolidated charge is formulated and analyzed. It
is shown that the post-front hydraulic resistance induced by the ejected particles
provides a mechanism for the oscillatory burning.
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