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Oscillatory Propagation of a Rich Premixed Spray Flame

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

Mathematical Modelling of Natural Phenomena

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 is demonstrated...

Recent Mathematical Results on Combustion in Hydraulically Resistant Porous Media

P. Gordon (2010)

Mathematical Modelling of Natural Phenomena

Gaseous detonation is a phenomenon with very complicated dynamics which has been studied extensively by physicists, mathematicians and engineers for many years. Despite many efforts the problem is far from a complete resolution. Recently the theory of subsonic detonation that occurs in highly resistant porous media was proposed in [4]. This theory provides a model which is realistic, rich and suitable for a mathematical study. In particular, the model is capable of describing the transition from...

Travelling waves for gas-solid reactions.

C. J. Van Duijn, A. Straathof (1994)

Revista Matemática de la Universidad Complutense de Madrid

Bounded traveling waves, arising in combustion model for gas-solid reactions in a porous medium, are studied. We consider the existence, uniqueness and several qualitative properties. In particular we investigate waves with finiteness and derive estimates in the limit of vanishing diffusion.

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