This article reports an unbiased analysis for the water based rod shaped alumina nanoparticles by considering both the homogeneous and non-homogeneous nanofluid models over the coupled nanofluid-surface interface. The mechanics of the surface are found for both the homogeneous and non-homogeneous models, which were ignored in previous studies. The viscosity and thermal conductivity data are implemented from the international nanofluid property benchmark exercise. All the simulations are being done by using the experimentally verified results. By considering the homogeneous and non-homogeneous models, the precise movement of the alumina nanoparticles over the surface has been observed by solving the corresponding system of differential equations. For the non-homogeneous model, a uniform temperature and nanofluid volume fraction are assumed at the surface, and the flux of the alumina nanoparticle is taken as zero. The assumption of zero nanoparticle flux at the surface makes the non-homogeneous model physically more realistic. The differences of all profiles for both the homogeneous and nonhomogeneous models are insignificant, and this is due to small deviations in the values of the Brownian motion and thermophoresis parameters.

1.
S. U. S.
Choi
, “
Enhancing thermal conductivity of fluids with nanoparticles
,” in
Developments and Applications of Non-Newtonian Flows
, edited by
D. A.
Siginer
and
H. P.
Wang
(
FED
,
1995
), Vol.
231
, pp.
99
-
105
.
2.
H.
Masuda
,
A.
Ebata
,
K.
Teramae
, and
N.
Hishinuma
, “
Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles
,”
Netsu Bussei
7
(
4
),
227
(
1993
).
3.
Y.
Ding
,
H.
Chen
,
L.
Wang
,
C. Y.
Yang
,
Y.
Hel
,
W.
Yang
,
W. P.
Lee
,
L.
Zhang
, and
R.
Huo
, “
Heat transfer intensification using nanofluids
,”
Kona
25
,
23
-
38
(
2007
).
4.
J.
Buongiorno
and
W.
Hu
, “
Nanofluid coolants for advanced nuclear power plants
,” in
Proceedings of ICAPP, Seoul, 05 May 2005
(
Curran Associates, Inc.
,
Sydney
,
2005
), pp.
15
-
19
.
5.
M.
Turkyilmazoglu
, “
Analytical solutions of single and multi-phase models for the condensation of nanofluid film flow and heat transfer
,”
Eur. J. Mech.–B/Fluids
53
,
272
-
277
(
2015
).
6.
P. S.
Reddy
and
K. V. S.
Rao
, “
MHD natural convection heat and mass transfer of Al2O3–water and Ag–water nanofluids over a vertical cone with chemical reaction
,”
Procedia Eng.
127
,
476
-
484
(
2015
).
7.
P. S.
Reddy
and
A. J.
Chamkha
, “
Influence of size, shape, type of nanoparticles, type and temperature of the base fluid on natural convection MHD of nanofluids
,”
Alexandria Eng. J.
55
,
331
-
341
(
2016
).
8.
J.
Buongiorno
, “
Convective transport in nanofluids
,”
ASME J. Heat Transfer
128
,
240
-
250
(
2006
).
9.
W. A.
Khan
and
I.
Pop
, “
Boundary-layer flow of a nanofluid past a stretching sheet
,”
Int. J. Heat Mass Transfer
53
,
2477
-
2483
(
2010
).
10.
W. A.
Khan
,
R.
Culham
, and
A.
Aziz
, “
Second law analysis of heat and mass transfer of nanofluids along a plate with prescribed surface heat flux
,”
ASME J. Heat Transfer
137
,
081701
(
2015
).
11.
R.
Ahmad
and
W. A.
Khan
, “
Unsteady heat and mass transfer MHD nanofluid flow over a stretching sheet with heat source/sink using quasi-linearization technique
,”
Can. J. Phys.
93
,
1477
-
1485
(
2015
).
12.
A. V.
Kuznetsov
and
D. A.
Nield
, “
Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model
,”
Int. J. Therm. Sci.
77
,
126
-
129
(
2014
).
13.
R.
Ahmad
, “
A comprehensive study of the electrically conducting water based copper and alumina nanoparticles over coupled nanofluid-sheet interface
,”
J. Phys. D: Appl. Phys.
49
,
1
-
15
(
2016
).
14.
R.
Ahmad
, “
Magneto-hydrodynamics of coupled fluid-sheet interface with mass suction and blowing
,”
J. Magn. Magn. Mater.
398
,
148
-
159
(
2016
).
15.
D.
Krasnov
,
O.
Zikanov
, and
T.
Boeck
, “
Numerical study of magneto-hydrodynamics duct flow at high Reynolds and Hartmann numbers
,”
J. Fluid Mech.
704
,
421
-
426
(
2012
).
16.
D. C.
Venerus
,
J.
Buongiorno
 et al., “
Viscosity measurements on colloidal dispersions (nanofluids) for heat transfer applications
,”
Appl. Rheol.
20
,
44582
(
2010
).
17.
J.
Buongiorno
,
D. C.
Venerus
 et al., “
A benchmark study on the thermal conductivity of nanofluids
,”
J. Appl. Phys.
106
,
094312
(
2009
).
18.
P. S.
Gupta
and
A. S.
Gupta
, “
Heat and mass transfer on a stretching sheet with suction or blowing
,”
Can. J. Chem. Eng.
55
,
744
-
746
(
1977
).
19.
M.
Turkyilmazoglu
, “
An analytical treatment for the exact solutions of MHD flow and heat over two-three dimensional deforming bodies
,”
Int. J. Heat Mass Transfer
90
,
781
-
789
(
2015
).
20.
R.
Ahmad
,
K.
Naeem
, and
W. A.
Khan
, “
Numerical study of boundary layers with reverse wedge flows over a semi infinite flat plate
,”
J. Appl. Mech.
77
,
024504
(
2009
).
21.
T.
Altan
,
S.
Oh
, and
H.
Gegel
,
Metal Forming Fundamentals and Applications
(
American Society of Metals
,
Metals Park, OH
,
1979
).
22.
H. C.
Wu
,
Continnum Mechanics and Plasticity
(
CRC Press
,
2005
), ISBN: 1-58488-363–4.
23.
E.
Fehlberg
, “
Low-order classical Runge–Kutta formulas with step size control and their application to some heat transfer problems
,”
NASA Technical Report No. 315
,
1969
.
You do not currently have access to this content.