Displaying similar documents to “Moving boundary problems in kinetic theory of gases: Spatially one-dimensional problems”

On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives

I. Brailovsky, M. Frankel, L. Kagan, G. Sivashinsky (2010)

Mathematical Modelling of Natural Phenomena

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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.

Oscillatory Propagation of a Rich Premixed Spray Flame

L.S. Kagan, J.B. Greenberg, G.I. Sivashinsky (2010)

Mathematical Modelling of Natural Phenomena

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Experimental evidence points to a rich variety of physical scenarios that arise when a laminar flame propagates through a pre-mixture of evaporating liquid fuel and a gaseous oxidant. In this paper new results of time-dependent numerical simulations of rich off-stoichiometric spray flame propagation in a two-dimensional channel are presented. A constant density model is adopted, thereby eliminating the Darrieus-Landau instability. It ...

A zoology of boundary layers.

David Gérard-Varet, Emmanuel Grenier (2002)

RACSAM

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In meteorology and magnetohydrodynamics many different boundary layers appear. Some of them are already mathematically well known, like Ekman or Hartmann layers. Others remain unstudied, and can be much more complex. The aim of this paper is to give a simple and unified presentation of the main boundary layers, and to propose a simple method to derive their sizes and equations.