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 135
- Downloads 0
Collocation Method for the Solution of Boundary Value Problems
In mathematics, collocation method is a method for the numerical solution of ordinary differential, partial differential and integral equations. The idea is to choose a finite-dimensional space of candidate solutions (us...
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...
The Length-Biased Weighted Erlang Distribution
We introduce and study a new continuous model so called, the length-biased weighted Erlang (LBWE) distribution. Some mathematical properties of the new distribution such as, raw and incomplete moments, generating functio...
A Proof of Fermat's Last Theorem using an Euler's Equation
Fermat's Last Theorem states that there are no solutions to xn + yn = zn for n ≥ 3 and x; y; z non-zero integers. Fermat wrote down a proof for n = 4 [1]. In 1753, Lenohard Euler (1707{1783) wrote down a proof of FLT for...
MHD Natural Convective Oscillatory Flow in Bifurcating Blood Capillaries
Oscillatory flow in bifurcating blood capillaries is presented. The governing nonlinear and coupled equations expressed in the form of the Boussinesq approximations are solved by the method of perturbation series expansi...