This article is cited in 1 paper

Diffusion-thermal stability of gas filtration combustion waves in an inert porous medium

M. M. Kabilov

Institute of Mathematics of the Republic of Tajikistan, Dushanbe, 734063, Tajikistan

Abstract: A mathematical model for the filtration gas combustion taking into account thermal conductivity, diffusion, and intense interfacial heat transfer is presented. The temperature dependence of the chemical reaction rate is approximated by a $\delta$-function and the thermal-expansion coefficient of gases behind the combustion front is taken into account. Unsteady combustion regimes are analyzed using the method of small perturbations. The boundaries of the longitudinal and spatial stability for steady regimes of the filtration combustion wave are obtained. The dependence of the Lewis number on the thermal-expansion coefficient of the gas mixture along the boundary of stability is derived, along with other relations.

Keywords: filtration combustion, stability of combustion wave.

UDC: 536.46

Received: 16.02.2011

 English version: Combustion, Explosion and Shock Waves, 2012, 48:1, 10–16

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