%0 Journal Article
%T Magnetohydrodynamic Flow of Viscous Fluid over a Non-Linearly Stretching Sheet
%A Yohannes Yirga
%A Daniel Tesfay
%J Open Access Library Journal
%V 1
%N 7
%P 1-11
%@ 2333-9721
%D 2014
%I Open Access Library
%R 10.4236/oalib.1101030
%X In this paper, the Magnetohydrodynamic (MHD) Flow of
Viscous Fluid over a Nonlinear Stretching Sheet is investigated numerically.
The partial differential equations governing the flow are reduced to a non
linear ordinary differential equations by using similarity transformations. The
resulting
transformed equations are numerically solved by an explicit finite difference
scheme known as the Keller Box Method. The velocity profiles are determined
and the effects of the magnetic parameter and non linear stretching parameter
on the flow characteristics are investigated. In addition to this the numerical
results for the local skin friction coefficients are computed. Comparison with
the exact solution and previously reported analytic solutions is made and
excellent agreement is noted. Moreover, the velocity profile obtained by Keller
box method is in a better agreement to the exact solution than by the Homotopy
Analysis Method. It is also found that, an increase in the magnetic parameter
or non-linearity parameter causes a decrease in the velocity profile and
velocity distribution.
%K Magneto-Hydrodynamics
%K Non-Linear Stretching
%K Homotopy Analysis Method
%K Keller Box Method
%U http://www.oalib.com/paper/3125913