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Fizika Goreniya i Vzryva, 1998 Volume 34, Issue 3, Pages 19–28 (Mi fgv2455)

Localization of combustion in a periodic velocity field

G. M. Makhviladzea, V. I. Melikhovb, O. I. Melikhovb, G. I. Sivashinskyc

a Russian Academy of Sciences, Institute of Problems in Mechanics, 117526, Moscow
b Elektrogorsk Scientific Research Center for the Safety of Atomic Power Stations, 142530, Elektrogorsk
c School of Mathematics, Tel-Aviv University, Israel

Abstract: A direct numerical simulation of combustion-front propagation in a specified periodic velocity field of a medium was performed within the framework of a two-dimensional thermal diffusion formulation. The calculations showed that as the velocity amplitude is increased, the flame front separates into discrete burning segments, i.e., spatial localization of the combustion takes place. Only when heat losses are introduced into the model, flame quenching is observed at a certain amplitude of the medium’s velocity. The level of heat losses required to extinguish the combustion becomes lower with increase in the amplitude of velocity perturbations. On the whole, the obtained numerical results agree with results of an asymptotic analysis.

UDC: 536.46

Received: 05.01.1997


 English version:
Combustion, Explosion and Shock Waves, 1998, 34:3, 264–272

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