Abstract
This paper investigates the interaction between natural convection and heat explosion in porous media. A meshless collocation method based on multiquadric radial basis functions has been applied to study the problem in an inclined two-dimensional porous media. The governing equations consist of coupling the Darcy equations in the Boussinesq approximation of low density variations to the heat equation with a nonlinear chemical source term. The numerical results obtained are in good agreement with some previous studies that consider the vertical direction. A complex behaviour of solutions is observed, including periodic and aperiodic oscillations. We have shown that a small inclination of the container stabilizes the reactive fluid and can prevent thermal explosion.
Highlights
Consider an enclosure filled with fluid subjected to a temperature difference on two opposite walls, while the rest of the walls are adiabatic
This paper investigates the interaction between natural convection and heat explosion in porous media
A meshless collocation method based on multiquadric radial basis functions has been applied to study the problem in an inclined two-dimensional porous media
Summary
Consider an enclosure filled with fluid subjected to a temperature difference on two opposite walls, while the rest of the walls are adiabatic. This work may be considered as a continuation of a series of investigations concerning the interaction between heat explosion and natural convection [1, 6, 7] Most researches in this area, like [2, 4], are concerned with the case when the fluid enclosure is oriented vertically or horizontally. We consider the case when the heat transfer process is produced in an inclined rectangular enclosure that is completely filled with a fluid-saturated porous medium. This is a complex process which involves various critical parameters like the Rayleigh number, the enclosure inclination angle and the Frank-Kamenetskii parameter.
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