Propagation of Reaction Front in Porous Media with Natural Convection
Khalfi Oussama1, Karam Allali2
1Khalfi Oussama: Department of Mathematics, Faculty of Science and Technology, University Hassan II, PO-Box 146, Mohammedia, Morocco.
2Karam Allali: Department of Mathematics, Faculty of Science and Technology, University Hassan II, PO-Box 146, Mohammedia, Morocco.
Manuscript received on September 17, 2019. | Revised Manuscript received on 27 September, 2019. | Manuscript published on October 10, 2019. | PP: 5336-5341 | Volume-8 Issue-12, October 2019. | Retrieval Number: L39631081219/2019©BEIESP | DOI: 10.35940/ijitee.L3963.1081219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper examines the influence of convective instability on the reaction front propagation in porous media. The model includes heat and concentration equations and motion equations under Boussinesq approximation. The non-stationary Darcy equation is adopted and the fluid is supposed to be incompressible. Numerical results are performed via the dispersion relation. The simulations show that the propogating reaction front loses stability as Vadasz number increase, it shows also more stability is gained when Zeldovich number increased.
Keywords: Boussinesq Approximation, Convection, Darcy law, Linear Stability Analysis, Vadasz Number.
Scope of the Article: Approximation and Randomized Algorithms