Onset of Magnetoconvection in a Rotating Darcy-Brinkman Porous Layer Heated from Below with Temperature Dependent Heat Source

Edmond Obiem Odok; Chigozie Israel-Cookey; Emeka Amos

doi:https://doi.org/10.14445/22315373/IJMTT-V66I5P507

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 5 | Year 2020 | Article Id. IJMTT-V66I5P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I5P507

Onset of Magnetoconvection in a Rotating Darcy-Brinkman Porous Layer Heated from Below with Temperature Dependent Heat Source

Edmond Obiem Odok, Chigozie Israel-Cookey, Emeka Amos

Citation :

Edmond Obiem Odok, Chigozie Israel-Cookey, Emeka Amos, "Onset of Magnetoconvection in a Rotating Darcy-Brinkman Porous Layer Heated from Below with Temperature Dependent Heat Source," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 5, pp. 49-61, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P507

Abstract

The onset of stationary and oscillatory magnetoconvection in a rotating Darcy-Brinkman infinitely horizontal porous layer filled with electrically conducting Newtonian fluid heated from below with temperature – dependent heat source using linear stability analysis using free – free boundaries are investigated.The criteriafor the onset of convection in the system are derived analytically. The effects of heat source, Υ, magnetic field, Ha, rotation and ratio of viscosities, Λparameters on the onset of convection are presented graphically and analyzed in detail. The effects of increasing magnetic field, rotation and ratio of viscosities delayed the onset of stationary and oscillatory convection, thereby stabilizing the system. However, increment in the heat source parameter accelerates the onset of convection and the system is more unstable, while Prandtl number slowed the onset of oscillatory convection.

Keywords

Magnetoconvection; rotating Darcy-Brinkman porous layer; temperature–dependent heat source; ratio of viscosities; free- free boundaries.

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