| Issue |
MATEC Web Conf.
Volume 241, 2018
International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2018)
|
|
|---|---|---|
| Article Number | 01019 | |
| Number of page(s) | 4 | |
| DOI | https://doi.org/10.1051/matecconf/201824101019 | |
| Published online | 03 December 2018 | |
A Meshfree Method for Heat Explosion Problems with Natural Convection in Inclined Porous Media
1
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
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.