MATEC Web Conf.
Volume 241, 2018International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2018)
|Number of page(s)||4|
|Published online||03 December 2018|
A Meshfree Method for Heat Explosion Problems with Natural Convection in Inclined Porous Media
Faculty of Sciences and Techniques, University of Comoros, Moroni, Comoros
2 Faculty of Science and Technology Mohammedia, University Hassan II Casablanca, Morocco
3 Mohammed VI Polytechnic University, Benguerir, Morocco
a e-mail: Loubna.SALHI@um6p.ma
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.
Key words: Heat explosion / Natural convection / Inclined porous media / Frank-Kamenetskii parameter / Multiquadric radial basis functions method
© The Authors, published by EDP Sciences, 2018
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