The Effect of Magnetic field on Boundary Layer  Flow of a Viscoelastic Fluid Past a Nonlinear  Stretching Sheet

Ahmad B. Jafar; Ibrahim G. Usman

doi:10.4314/cajost.v1i2.52

Authors

Ahmad B. Jafar Department of Mathematics, Kebbi State University of Science and Technology Aliero, Kebbi State, Nigeria
Ibrahim G. Usman Department of Mathematics, Zamfara State College of Education Maru, Zamfara State, Nigeria.

DOI:

https://doi.org/10.4314/cajost.v1i2.52

Keywords:

Viscoelastic fluid, Magnetic field, Non-linear stretching sheet, Skin friction, Similarity solution

Abstract

In the present article, we study the effect of magnetic field on the boundary layer
flow of an electrically conducting viscoelastic fluid over a nonlinear stretching
sheet. The governing boundary layer equations for the momentum and energy
are transformed into the set of non-linear ordinary differential equations by using
suitable similarity solutions. The transformed equations are then solved
numerically through Keller-box method. The influence of nonlinear stretching
sheet parameter, viscoelastic parameter and magnetic field parameter on the
velocity and temperature fields are studied graphically. The effects of the skin
friction coefficient and local Nusselt number was also studied and its observed
that skin friction coefficient increases while the local Nusselt number decreases
for higher value of nonlinear stretching parameter. It is also noted that the
magnetic field have highest impacts on the temperature distributions as
compared to the velocity field.