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
- EP ID EP338321
- DOI 10.9734/ARJOM/2017/36503
- Views 136
- Downloads 0
Solving Systems of Fractional Differential Equations Using Sumudu Transform Method
In this paper we are interested in showing the approximate analytical solutions for systems of fractional differential equations and nonlinear biochemical reaction model by using Sumudu transform method. The fractional d...
From Pascal Triangle to Golden Pyramid
We introduce a “structure” of epic proportions – golden pyramid whose sacred geometry is “Fibonacci squared”. In terms of mathematical beauty, the golden pyramid will perhaps be found to be comparable to Pascal triangle.
The Effect of Chemical Reaction, and Thermal Radiation on Magnetohydrodynamic Casson Fluid Flow over Non-linearly Stretching Surface with Suction
In the present paper, we investigate numerically the effect of chemical reaction, and radiation on magnetohydrodynamic Casson fluid flow over non-linearly stretching surface with fluid suction. By suitable similarity tra...
A Computation of the Casimir Energy on a Parallelepiped
The original computations deriving the Casimir energy and force consists of first taking limits of the spectral zeta function and afterwards analytically extending the result. This process of computation presents a weakn...
On Generalization of a Reverse Hilbert's Type Inequality
We establish an inequality of a weight coecient by introducing a parameter and using the Euler-Maclaurin expansion. Using this inequality, we derive a reverse of the Hilbert's type inequality. As an applications, an e...