The present work deals with the steady free-convection boundary-layer flow past a horizontal permeable surface embedded in a porous medium filled with a nanofluid. The similarity transformation was applied to the governing equations to transform into a system of ordinary differential equations, which are then solved numerically using Runge-Kutta-Fehlberg fourth-fifth order (RKF45) method. Three types of nanoparticles which are titania (TiO2), alumina (Al2O3), and copper (Cu) in the based fluid of water are considered to investigate the effect of the nanoparticle volume fraction parameter, υ. Results are presented and discussed for the local Nusselt number, the surface velocity, the temperature profiles, and the velocity profile. It is found that the imposition of suction/injection has an impact on the velocity profiles and temperature profiles.

1.
D. A.
Nield
and
A.
Bejan
,
Convection in Porous Media
(
Springer
,
New York
,
2006
), pp.
640
.
2.
K.
Vafai
,
Handbook of Porous Media
(
Taylor & Francis
,
New York
,
2005
), pp.
493
512
.
3.
A. –R. A.
Khaled
and
K.
Vafai
,
International Journal of Heat and Mass Transfer
46
,
4989
5003
(
2003
).
4.
P.
Cheng
and
I. –D.
Chang
,
International Journal of Heat and Mass Transfer
19
,
1267
1272
(
1976
).
5.
P.
Cheng
,
International Journal of Heat and Mass Transfer
20
,
893
898
(
1977
).
6.
S. U. S.
Choi
, “
Enhancing Thermal Conductivity of Fluids with Nanoparticles
,” in
ASME International
,
Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition
, pp.
99
105
.
7.
M. H. M.
Yasin
,
N. M.
Arifin
,
R.
Nazar
,
F.
Ismail
and
I.
Pop
,
Hindawi Publishing Corporation Advances in Mechanical Engineering
,
121943
(
2013
).
8.
K.
Khanafer
,
K.
Vafai
and
M.
Lightstone
,
International Journal of Heat and Mass Transfer
46
,
3639
3653
(
2003
).
9.
N. M.
Arifin
,
R.
Nazar
and
I.
Pop
,
Meccanica
46
,
833
843
(
2011
).
10.
E. L. A.
Fauzi
,
S.
Ahmad
and
I.
Pop
,
World Academy of Science, Engineering and Technology
70
,
15
18
(
2012
).
11.
N. M.
Arifin
,
R.
Nazar
and
I.
Pop
,
Journal of Thermophysics and Heat Transfer
26
, (
2012
).
12.
R. K.
Tiwari
and
M. K.
Das
,
International Journal of Heat and Mass Transfer
50
,
2002
2018
(
2007
).
13.
H. F.
Oztop
, and
E.
Abu-Nada
,
International Journal of Heat and Fluid Flow
29
,
1326
1336
(
2008
).
14.
A.
Aziz
,
Communications in Nonlinear Science and Numerical Simulation
14
,
1064
1068
(
2009
).
15.
R. A.
Hamid
,
W. M. K. A.
Wan Zaimi
,
N. M.
Arifin
,
N. A. A.
Bakar
and
B.
Bidin
,
Hindawi Publishing Corporation Journal of Applied Mathematics
,
750939
(
2012
)
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