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On the Transition from Deflagration to Detonation in Narrow Channels

L. Kagan — 2010

Mathematical Modelling of Natural Phenomena

A numerical study of a two-dimensional model for premixed gas combustion in a narrow, semi-infinite channel with no-slip boundary condition is performed. The work is motivated by recent theoretical advances revealing the major role of hydraulic resistance in deflagration-to-detonation transition, one of the central yet still inadequately understood phenomena of gaseous combustion. The work is a continuation and extension of recently reported results over non-isothermal boundary conditions, wider...

Flame Propagation through Large-Scale Vortical Flows: Effect of Equivalence Ratio

L. KaganG. Sivashinsky — 2010

Mathematical Modelling of Natural Phenomena

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...

On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives

I. BrailovskyM. FrankelL. KaganG. Sivashinsky — 2010

Mathematical Modelling of Natural Phenomena

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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