Effect of Stochasticity of the Spatial Distribution of Particles in a Gas Suspension on Combustion Front Propagation
P. S. Grinchuk
Lykov Institute of Heat and Mass Transfer, National Academy of Sciences of Belarus
Minsk, 220072 Belarus
Keywords: gas suspension, combustion wave, random spatial structure, Bose–Einstein distribution
Abstract
A statistical model of combustion of a gas suspension of solid particles is proposed. The model takes into account the influence of the stochastic spatial distribution of particles on the combustion front velocity. The Bose–Einstein distribution in the presentation of occupation numbers is used as the basic mathematical apparatus of the model. The model offers an explanation for the effect observed in some experiments, which is associated with the shift of the combustion front velocity peak to the range of fuel-rich gas suspensions. The limits of applicability of the proposed statistical model to real gas suspensions are estimated.
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