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
On Caristi-Type Fixed Point Theorem in Cone Metric Space and Application
The aim of this paper is to generalize Caristi's fixed point theorem. For that we extend the Szaz maximum principle in normed space and, we introduce a new class of functions which generalize the notion of dominated func...
Monotonicity and Convexity Properties and Some Inequalities Involving a Generalized Form of the Wallis' Cosine Formula
This study is focused on monotonicity and convexity properties of a generalized form of the Wallis’ cosine formula. Specifically, by using the integral form of the Nielsen’s β-function, we prove that the generalized Wall...
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...
Influence of Rotatory Inertial Correction Factor on the Vibration of Elastically Supported Non-Uniform Rayleigh Beam on Variable Foundation
The in uence of rotatory inertial correction factor on the vibration of elastically supported nonuniform Rayleigh beam under moving distributed masses and resting on variable bi-parametric elastic foundation is investiga...
Chemical Reaction Effects on MHD Nanofluid Flow of a Convection Slip in a Saturated Porous Media Over a Radiating Stretching Sheet with Heat Source/Sink
Numerical analysis is presented to investigate the chemical reaction effects on magnetohydrodynamics convection slip flow of nanofluid in a saturated porous media over a radiating stretching sheet with heat source/sink....