A numerical study of the steady free convection flow in shallow and slender porous cavities filled by a nanofluid is presented. The nanofluid model takes into account the Brownian diffusion and the thermophoresis effects. The governing dimensional partial differential equations are transformed into a dimensionless form before being solved numerically using a finite difference method. Effort has been focused on the effects of four types of influential factors such as the aspect ratio, the Rayleigh and Lewis numbers, and the buoyancy-ratio parameter on the fluid flow and heat transfer characteristics.

References

1.
Bagchi
,
A.
, and
Kulacki
,
F. A.
,
2013
, “
Natural Convection in Superposed Fluid-Porous Layers
,”
Springer Briefs in Applied Sciences and Technology, Thermal Engineering and Applied Science
,
Springer
,
New York
.
2.
Choi
,
S. U. S.
,
1995
, “
Enhancing Thermal Conductivity of Fluids With Nanoparticles
,”
Development and Applications of Non-Newtonian Flows
,
D. A.
Siginer
, and
H. P.
Wang
, eds.,
ASME
,
New York
, MD-Vol. 231 and FED-Vol. 66, pp.
99
105
.
3.
Buongiorno
,
J.
,
2006
, “
Convective Transport in Nanofluids
,”
ASME J. Heat Transfer
,
128
, pp.
240
250
.10.1115/1.2150834
4.
Kuznetsov
,
A. V.
, and
Nield
,
D. A.
,
2010
, “
Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: Brinkman Model
,”
Trans. Porous Media
,
81
, pp.
409
422
.10.1007/s11242-009-9413-2
5.
Kuznetsov
,
A. V.
, and
Nield
,
D. A.
,
2011
, “
The Effect of Vertical Throughflow on Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid
,”
Transp. Porous Media
,
87
, pp.
765
775
.10.1007/s11242-011-9717-x
6.
Nield
,
D. A.
, and
Kuznetsov
,
A. V.
,
2009
, “
The Cheng-Minkowycz Problem for Natural Convective Boundary-Layer Flow in a Porous Medium Saturated by a Nanofluid
,”
Int. J. Heat Mass Transfer
,
52
, pp.
5792
5795
.10.1016/j.ijheatmasstransfer.2009.07.024
7.
Nield
,
D. A.
, and
Kuznetsov
,
A. V.
,
2009
, “
Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid
,”
Int. J. Heat Mass Transfer
,
52
, pp.
5796
5801
.10.1016/j.ijheatmasstransfer.2009.07.023
8.
Wu
,
M.
,
Kuznetsov
,
A. V.
, and
Jasper
,
W. J.
,
2010
, “
Modeling of Particle Trajectories in an Electrostatically Charged Channel
,”
Phys. Fluids
,
22
, p.
043301
.10.1063/1.3369004
9.
Khanafer
,
K.
,
Vafai
,
K.
, and
Lightstone
,
M.
,
2003
, “
Buoyancy-Driven Heat Transfer Enhancement in a Two-Dimensional Enclosure Utilizing Nanofluids
,”
Int. J. Heat Mass Transfer
,
46
, pp.
3639
3653
.10.1016/S0017-9310(03)00156-X
10.
Alloui
,
Z.
, and
Vasseur
,
P.
,
2013
, “
Convection of a Binary Fluid in a Shallow Porous Cavity Heated and Salted From the Sides
,”
Comput. Fluids
,
81
, pp.
85
94
.10.1016/j.compfluid.2013.04.011
11.
Alloui
,
Z.
,
Guiet
,
J.
,
Vasseur
,
P.
, and
Reggio
,
M.
,
2012
, “
Natural Convection of Nanofluids in a Shallow Rectangular Enclosure Heated From the Side
,”
Can. J. Chem. Eng.
,
90
(
1
), pp.
69
78
.10.1002/cjce.20523
12.
Alloui
,
Z.
,
Vasseur
,
P.
, and
Reggio
,
M.
,
2011
, “
Natural Convection of Nanofluids in a Shallow Cavity Heated From Below
,”
Int. J. Therm. Sci.
,
50
(
3
), pp.
385
393
.10.1016/j.ijthermalsci.2010.04.006
13.
Guiet
,
J.
,
Reggio
,
M.
, and
Vasseur
,
P.
,
2011
, “
Natural Convection of Nanofluids in Heated Enclosures Using the Lattice Boltzmann Method
,”
Comput. Therm. Sci.
,
3
(
4
), pp.
301
316
.10.1615/ComputThermalScien.2011002798
14.
Wen
,
D.
,
Lin
,
G.
,
Vafaei
,
S.
, and
Zhang
K.
,
2011
, “
Review of Nanofluids for Heat Transfer Applications
,”
Particuology
,
7
, pp.
141
150
.10.1016/j.partic.2009.01.007
15.
Mahian
,
O.
,
Kianifar
,
A.
,
Kalogirou
,
S. A.
,
Pop
,
I.
, and
Wongwises
,
S.
,
2013
, “
A Review of the Applications of Nanofluids in Solar Energy
,”
Int. J. Heat Mass Transfer
,
57
, pp.
582
594
.10.1016/j.ijheatmasstransfer.2012.10.037
16.
Das
,
S. K.
,
Choi
,
S. U. S.
,
Yu
,
W.
, and
Pradeep
,
T.
,
2007
,
Nanofluids: Science and Technology
,
Wiley
,
Hoboken, NJ
.
17.
Nield
,
D. A.
, and
Bejan
A.
,
2013
,
Convection in Porous Media
, 3rd ed.,
Springer
,
New York
.
18.
Walker
,
K. L.
, and
Homsy
,
G. M.
,
1978
, “
Convection in a Porous Cavity
,”
J. Fluid Mech.
,
87
, pp.
449
474
.10.1017/S0022112078001718
19.
Bejan
,
A.
,
1979
, “
On the Boundary Layer Regime in a Vertical Enclosure Filled With a Porous Medium
,”
Lett. Heat Mass Transfer
,
6
, pp.
93
102
.10.1016/0094-4548(79)90001-8
20.
Baytas
,
A. C.
, and
Pop
,
I.
,
1999
, “
Free Convection in Oblique Enclosures Filled With a Porous Medium
,”
Int. J. Heat Mass Transfer
,
42
, pp.
1047
1057
.10.1016/S0017-9310(98)00208-7
21.
Aleshkova
,
I. A.
, and
Sheremet
,
M. A.
,
2010
, “
Unsteady Conjugate Natural Convection in a Square Enclosure Filled With a Porous Medium
,”
Int. J. Heat Mass Transfer
,
53
, pp.
5308
5320
.10.1016/j.ijheatmasstransfer.2010.07.025
22.
Sheremet
,
M. A.
, and
Trifonova
,
T. A.
,
2013
, “
Unsteady Conjugate Natural Convection in a Vertical Cylinder Partially Filled With a Porous Medium
,”
Num. Heat Transfer, Part A
,
64
, pp.
994
1015
.10.1080/10407782.2013.811973
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