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Research Article Open access CC BY 4.0

Effect of Vertical Magnetic Field on the Onset of Double Diffusive Convection in a Horizontal Porous Layer with Concentration Based Internal Heat Source

C. Israel-Cookey, L. Ebiwareme, E. Amos

Asian Research Journal of Mathematics · pp. 1–15 · Published 13 Oct 2017

10.9734/ARJOM/2017/36503

Abstract

This study considers the effects of concentration based internal heat and vertical magnetic field on the onset of double diffusive convection in a horizontal porous layer using normal mode analysis. The normal mode analysis is used to find solutions for the fluid variables, the critical wave number and the critical Rayleigh number for the onset of convection with free-free boundaries. The results obtained are displayed graphically and in tables. The results show that the concentration based internal heat,γ, hastens the onset of instability while the magnetic field, Ha, and solutal Rayleigh number,Rs, delays the onset of instability in the system for stationary and oscillatory convections. The influence of Lewis number,Le , and porosity,ε , is also presented.

Double diffusive convection concentration based internal heat magnetic field normal mode analysis.

References (21)

  1. 1 Hydrodynamic and Hydromagnetic Stability [DOI]
  2. 2 Convection in Porous Media [DOI]
  3. 3 Transport Phenomena in Porous Media [DOI]
  4. 4 Convection of a fluid in a porous medium [DOI]
  5. 5 INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER [DOI]
  6. 6 Convection Currents in a Porous Medium [DOI]
  7. 7 Hydrodynamic stability [DOI]
  8. 8 Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow [DOI]
  9. 9 Double–diffusive convection in a porous medium with a concentration based internal heat source [DOI]
  10. 10 Mass and heat transfer effect on MHD flow of a visco-elastic fluid through porous medium with oscillatory suction and heat source [DOI]
  11. 11 Nonlinear Stability of Double-diffusive Convection in a Porous Layer with Throughflow and Concentration based Internal Heat Source [DOI]
  12. 12 The Influence of Coupled Molecular Diffusion on Double-Diffusive Convection in a Porous Medium [DOI]
  13. 13 Natural convection in an infinite porous medium with a concentrated heat source [DOI]
  14. 14 MHD flow of a visco-elastic fluid through a porous medium between infinite parallel plates with time dependent suction [DOI]
  15. 15 Double-diffusive Hadley–Prats flow in a horizontal porous layer with a concentration based internal heat source [DOI]
  16. 16 HEAT SOURCE EFFECTS ON MHD FLOW PAST AN EXPONENTIALLY ACCELERATED VERTICAL PLATE WITH VARIABLE TEMPERATURE THROUGH A POROUS MEDIUM
  17. 17 Effect of Internal Heating on Double Diffusive Convection in a Couple Stress Fluid Saturated Anisotropic Porous Medium [DOI]
  18. 18 ONSET OF DOUBLE DIFFUSIVE REACTION-CONVECTION IN AN ANISOTROPIC POROUS LAYER WITH INTERNAL HEAT SOURCE [DOI]
  19. 19 Double diffusive reaction-convection in viscous fluid layer
  20. 20 Analysis of Linear stability on double diffusive convection in a fluidsaturated anisotropic porous layer with Soret effect
  21. 21 Onset of convection of a reacting fluid layer in a porous medium with temperature-dependent heat source [DOI]

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