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

Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 7, Issue 1

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.

Authors and Affiliations

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

Keywords

Related Articles

Numerical Solution of Volterra Integral Equation by Adomian Decomposition Method

In this paper, we present a numerical method for solving linear and nonlinear Volterra integral equations of the second kind which is based on the use of Adomian decomposition method. It can effectively solve problems th...

Numerical Solutions for Solving the Modeling Differential Equations

In this paper, we will solve the Logistic and Riccati differential equations using VIM, shifted Chebyshev-spectral fourth kind methods and Hermite collocation method. Where we can from the numerical results we obtained t...

Peristaltic Transport with Viscous Dissipation Effect in a Multi-stenosed Artery

In this paper, we investigated the effect of pulse amplitude, radius of constriction and Reynolds number on the blood flow through a multi-stenosed artery under the influence of viscous dissipation and insignificant free...

Unconditional Integrability with Application to Ergodic Theorem

We present a straightforward introduction to the unconditional integrability in the extended sense. We state and proof useful necessary and sufficient conditions for unconditional integrability of complex or real valued...

A New Lifetime Model with a Bounded Support

In this paper, we introduce a new probability model with a bounded support which possesses an increasing and bathtub failure rate functions. Numerous properties such as the moments, moment generating function, mean devia...

Download PDF file
  • EP ID EP338321
  • DOI 10.9734/ARJOM/2017/36503
  • Views 130
  • Downloads 0

How To Cite

C. Israel-Cookey, L. Ebiwareme, E. Amos (2017). Effect of Vertical Magnetic Field on the Onset of Double Diffusive Convection in a Horizontal Porous Layer with Concentration Based Internal Heat Source. Asian Research Journal of Mathematics, 7(1), 1-15. https://europub.co.uk/articles/-A-338321