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A Nanofluid Flow in a Non-Linear Stretching Surface Saturated in a Porous Medium with Yield Stress Effec

Research Authors
F. M. Hady, Mohamed R. Eid, Mostafa A. Ahmed
Research Abstract

An analysis has been carried out to study a problem of the natural convective boundary-layer flow of a nanofluid past a
non-linear stretching surface with convective boundary condition in the presence of yield stress in porous media. The model used for
the nanofluid incorporates the effects of Brownian motion and thermophoresis. The local similarity solutions are obtained by using
an efficient numerical shooting technique with a fourth-order Runge–Kutta scheme (MATLAB package). The results corresponding to
the dimensionless temperature profiles and the reduced Nusselt number, Sherwood number and skin friction coefficient are displayed
graphically for various pertinent parameters. It was found that Nusselt number
(
Re

1
=
2
x
Nu
x
)
and Sherwood number
(
Re

1
=
2
x
Sh
x
)
is a
decreasing function of the yield stress parameter

and the porous media parameter
ξ
, while the skin friction coefficient
(
Re
1
=
2
x
C
f
)
is
an increasing function of the yield stress parameter

and the porous media parameter
ξ

Research Department
Research Journal
Applied Mathematics & Information Sciences Letters
Research Member
Research Publisher
Applied Mathematics & Information Sciences Letters
Research Rank
1
Research Vol
No. 2, 43-51 (201
Research Website
NULL
Research Year
2014
Research Pages
43 - 51