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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2020 by IJMTT Journal
Volume-66 Issue-5
Year of Publication : 2020
Authors : Edmond Obiem Odok, Chigozie Israel-Cookey, Emeka Amos
  10.14445/22315373/IJMTT-V66I5P507

MLA

MLA Style: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 66.4 (2020):49-61. 

APA Style: Edmond Obiem Odok, Chigozie Israel-Cookey, Emeka Amos(2020).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, 49-61.

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.

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