Abstract
High temperature filtration in combustion and gasification processes is a highly interdisciplinary field. Thus, particle technology in general has to be supported by elements of physics, chemistry, thermodynamics and heat and mass transfer processes. Presented in this paper is the analytical method for describing hightemperature gas filtration combustion in an inert porous medium. We assume the porous media is highly permeable and both the contact time between the phases and the rate of oxidizer diffusion through the gas stream to the surface of the solid particles where the reaction occurs are not large. Also, we assume that the initial temperatures increase lengthwise. The coupled nonlinear partial differential equations describing the phenomenon have been decoupled using the parameter-expanding method and solved analytically using eigenfunctions expansion technique. The results obtained revealed that the combustion wave is propagated and oxidizer is consumed. A self-oscillating mode of gas filtration combustion was found with variation in the values of interfacial heat transfer. Keywords: Analytical method, filtration combustion, fuel, oxidizer, porous medium, temperature
Highlights
Filtration combustion, when an oxidizer is injected into a porous medium containing fuel, has numerous applications in technology and nature (enhanced oil recovery by in situ ombustion, coal gasification, selfpropagating high-temperature synthesis (SHS), smolder waves etc.)
Mathematical models for filtration combustion of gases and condensed materials are based on the equations of the mechanics of multiphase media supplemented with the equations of chemical kinetics (Aldushin and Merzhanov, 1988)
The objectives of this paper are to propose a twotemperature model for gas filtration combustion in an inert flat porous layer taking into account the gas pressure distribution in the pores, heat loss to the environment, energy accumulation, and net gas production in the reaction and to provide an approximated analytical solution to describe the phenomena
Summary
Filtration combustion, when an oxidizer is injected into a porous medium containing fuel, has numerous applications in technology and nature (enhanced oil recovery by in situ ombustion, coal gasification, selfpropagating high-temperature synthesis (SHS), smolder waves etc.). A fairly complete review of experimental and theoretical studies of filtration gas combustion in inert porous media is presented in (AbdulMujeebu et al, 2009). Unsteady filtration combustion of gases in an inert porous layer is considered in (Prokof’ev et al, 2010) taking into account the gas pressure distribution in the pores. The objectives of this paper are to propose a twotemperature model for gas filtration combustion in an inert flat porous layer taking into account the gas pressure distribution in the pores, heat loss to the environment, energy accumulation, and net gas production in the reaction and to provide an approximated analytical solution to describe the phenomena
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