TITLE:
New Analytical Study of the Effects Thermo-Diffusion, Diffusion-Thermo and Chemical Reaction of Viscous Fluid on Magneto Hydrodynamics Flow in Divergent and Convergent Channels
AUTHORS:
Abdul-Sattar J. A. Al-Saif, Abeer Majeed Jasim
KEYWORDS:
Thermo-Diffusion, Diffusion-Thermo, Chemical Reaction, Analytical Approximate Solution, Mass and Heat Transfer, Magneto Hydrodynamics
JOURNAL NAME:
Applied Mathematics,
Vol.10 No.4,
April
29,
2019
ABSTRACT: In this paper, the magneto hydrodynamic (MHD) flow
of viscous fluid in a channel with non-parallel plates is studied. The governing partial differential equation
was transformed into a system of dimensionless non-similar coupled ordinary
differential equation. The transformed conservations equations were solved by
using new algorithm. Basically, this new algorithm depends mainly on the Taylor expansion application
with the coefficients of power series resulting from integrating the order differential equation. Results obtained from new algorithm are compared with the results of
numerical Range-Kutta fourth-order algorithm with help of the shooting algorithm. The comparison revealed that
the resulting solutions were excellent agreement. Thermo-diffusion and
diffusion-thermo effects were investigated to analyze the behavior of
temperature and concentration profile. Also the influences of the first order
chemical reaction and the rate of mass and heat transfer were studied. The
computed analytical solution result for the velocity, temperature and
concentration distribution with the effect of various important dimensionless
parameters was analyzed and discussed graphically.