Natural convection of a water-based nanofluid in a partially open triangular cavity with a local heat source of constant temperature under the effect of Brownian diffusion and thermophoresis has been analyzed numerically. Governing equations formulated in dimensionless stream function and vorticity variables on the basis of two-phase nanofluid model with corresponding initial and boundary conditions have been solved by finite difference method. Detailed study of the effect of Rayleigh number, buoyancy-ratio parameter, and local heater location on fluid flow and heat transfer has been carried out. It has been revealed that an increase in the buoyancy force magnitude leads to homogenization of nanoparticles distribution inside the cavity. A growth of a distance between the heater and the cavity corner illustrates the heat transfer enhancement.

References

References
1.
Biswal
,
P.
, and
Basak
,
T.
,
2016
, “
Role of Various Concave/Convex Walls Exposed to Solar Heating on Entropy Generation During Natural Convection Within Porous Right Angled Triangular Enclosures
,”
Sol. Energy
,
137
, pp.
101
121
.
2.
Das
,
D.
, and
Basak
,
T.
,
2016
, “
Role of Distributed/Discrete Solar Heaters During Natural Convection in the Square and Triangular Cavities: CFD and Heatline Simulations
,”
Sol. Energy
,
135
, pp.
130
153
.
3.
Basak
,
T.
,
Anandalakshmi
,
R.
, and
Roy
,
M.
,
2013
, “
Heatlines Based Natural Convection Analysis in Tilted Isosceles Triangular Enclosures With Linearly Heated Inclined Walls: Effect of Various Orientations
,”
Int. Commun. Heat Mass Transfer
,
43
, pp.
39
45
.
4.
Varol
,
Y.
, and
Oztop
,
H. F.
,
2009
, “
Control of Buoyancy-Induced Temperature and Flow Fields With an Embedded Adiabatic Thin Plate in Porous Triangular Cavities
,”
Appl. Therm. Eng.
,
29
(2–3), pp.
558
566
.
5.
Varol
,
Y.
,
Oztop
,
H. F.
, and
Pop
,
I.
,
2008
, “
Natural Convection Flow in Porous Enclosures With Heating and Cooling on Adjacent Walls and Divided by a Triangular Massive Partition
,”
Int. Commun. Heat Mass Transfer
,
35
(4), pp.
476
491
.
6.
Bhardwaj
,
S.
, and
Dalal
,
A.
,
2013
, “
Analysis of Natural Convection Heat Transfer and Entropy Generation Inside Porous Right-Angled Triangular Enclosure
,”
Int. J. Heat Mass Transfer
,
65
, pp.
500
513
.
7.
Mahdi
,
R. A.
,
Mohammed
,
H. A.
, and
Munisamy
,
K. M.
,
2013
, “
Improvement of Convection Heat Transfer by Using Porous Media and Nanofluid: Review
,”
Int. J. Sci. Res.
,
2
(8), pp.
34
47
.https://www.ijsr.net/archive/v2i8/MTIwMTM5OQ==.pdf
8.
Sheremet
,
M. A.
, and
Pop
,
I.
,
2015
, “
Free Convection in a Triangular Cavity Filled With a Porous Medium Saturated by a Nanofluid: Buongiorno's Mathematical Model
,”
Int. J. Numer. Methods Heat Fluid Flow
,
25
(5), pp.
1138
1161
.
9.
Sabour
,
M.
, and
Ghalambaz
,
M.
,
2016
, “
Natural Convection in a Triangular Cavity Filled With a Nanofluid-Saturated Porous Medium Using Three Heat Equation Model
,”
Can. J. Phys.
,
94
(
6
), pp.
604
615
.
10.
Sun
,
Q.
, and
Pop
,
I.
,
2011
, “
Free Convection in a Triangle Cavity Filled With a Porous Medium Saturated With Nanofluids With Flush Mounted Heater on the Wall
,”
Int. J. Therm. Sci.
,
50
(11), pp.
2141
2153
.
11.
Rahman
,
M. M.
,
Alam
,
M. S.
,
Al-Salti
,
N.
, and
Eltayeb
,
I. A.
,
2016
, “
Hydromagnetic Natural Convective Heat Transfer Flow in an Isosceles Triangular Cavity Filled With Nanofluid Using Two-Component Nonhomogeneous Model
,”
Int. J. Therm. Sci.
,
107
, pp.
272
288
.
12.
Wang
,
X.
, and
Wang
,
J.
,
2016
, “
Numerical Simulation of Natural Convection in a Triangle Cavity Filled With Nanofluids Using Tiwari Das's Model: Effects of Heat Flux
,”
Heat Transfer—Asian Res.
,
46
(
7
), pp.
761
777
.
13.
Chowdhury
,
R.
,
Parvin
,
S.
, and
Khan
,
M. A. H.
,
2016
, “
Finite Element Analysis of Double-Diffusive Natural Convection in a Porous Triangular Enclosure Filled With Al2O3-Water Nanofluid in Presence of Heat Generation
,”
Heliyon
,
2
(
8
), p.
e00140
.
14.
Mahian
,
O.
,
Kianifar
,
A.
,
Heris
,
S. Z.
, and
Wongwises
,
S.
,
2016
, “
Natural Convection of Silica Nanofluids in Square and Triangular Enclosures: Theoretical and Experimental Study
,”
Int. J. Heat Mass Transfer
,
99
, pp.
792
804
.
15.
Öztop
,
H. F.
,
Estellé
,
P.
,
Yan
,
W. M.
,
Al-Salem
,
K.
,
Orfi
,
J.
, and
Mahian
,
O.
,
2015
, “
A Brief Review of Natural Convection in Enclosures Under Localized Heating With and Without Nanofluids
,”
Int. Commun. Heat Mass Transfer
,
60
, pp.
37
44
.
16.
Sheremet
,
M. A.
,
2010
, “
The Influence of Cross Effects on the Characteristics of Heat and Mass Transfer in the Conditions of Conjugate Natural Convection
,”
J. Eng. Thermophys.
,
19
(3), pp.
119
127
.
17.
Varol
,
Y.
,
Koca
,
A.
, and
Oztop
,
H. F.
,
2006
, “
Natural Convection in a Triangle Enclosure With Flush Mounted Heater on the Wall
,”
Int. Commun. Heat Mass Transfer
,
33
(8), pp.
951
958
.
18.
Mehrez
,
Z.
,
El Cafsi
,
A.
,
Belghith
,
A.
, and
Le Quéré
,
P.
,
2015
, “
MHD Effects on Heat Transfer and Entropy Generation of Nanofluid Flow in an Open Cavity
,”
J. Magn. Magn. Mater.
,
374
, pp.
214
224
.
19.
Kefayati
,
G. H. R.
,
2013
, “
Effect of a Magnetic Field on Natural Convection in an Open Cavity Subjugated to Water/Alumina Nanofluid Using Lattice Boltzmann Method
,”
Int. Commun. Heat Mass Transfer
,
40
, pp.
67
77
.
20.
Kefayati
,
G. H. R.
,
Hosseinizadeh
,
S. F.
,
Gorji
,
M.
, and
Sajjadi
,
H.
,
2012
, “
Lattice Boltzmann Simulation of Natural Convection in an Open Enclosure Subjugated to Water/Copper Nanofluid
,”
Int. J. Therm. Sci.
,
52
, pp.
91
101
.
21.
Kefayati
,
G. H. R.
, and
Sidik
,
N. A. C.
,
2017
, “
Simulation of Natural Convection and Entropy Generation of Non-Newtonian Nanofluid in an Inclined Cavity Using Buongiorno's Mathematical Model—Part II: Entropy Generation
,”
Powder Technol.
,
305
, pp.
679
703
.
22.
Sheremet
,
M. A.
,
Pop
,
I.
, and
Shenoy
,
A.
,
2015
, “
Unsteady Free Convection in a Porous Open Wavy Cavity Filled With a Nanofluid Using Buongiorno's Mathematical Model
,”
Int. Commun. Heat Mass Transfer
,
67
, pp.
66
72
.
23.
Sheremet
,
M. A.
,
Pop
,
I.
, and
Shenoy
,
A.
,
2016
, “
Natural Convection in a Wavy Open Porous Cavity Filled With a Nanofluid: Tiwari and Das' Nanofluid Model
,”
Eur. Phys. J. Plus
,
131
, p.
62
.
24.
Jafari
,
M.
,
Farhadi
,
M.
,
Akbarzade
,
S.
, and
Ebrahimi
,
M.
,
2015
, “
Lattice Boltzmann Simulation of Natural Convection Heat Transfer of SWCNT-Nanofluid in an Open Enclosure
,”
Ain Shams Eng. J.
,
6
(3), pp.
913
927
.
25.
Bakier
,
M. A. Y.
,
2014
, “
Flow in Open C-Shaped Cavities: How Far Does the Change in Boundaries Affect Nanofluid?
,”
Eng. Sci. Technol.
,
17
(3), pp.
116
130
.
26.
Sheremet
,
M. A.
, and
Pop
,
I.
,
2015
, “
Natural Convection in a Wavy Porous Cavity With Sinusoidal Temperature Distributions on Both Side Walls Filled With a Nanofluid: Buongiorno's Mathematical Model
,”
ASME J. Heat Transfer
,
137
(
7
), p.
072601
.
27.
Bondareva
,
N. S.
,
Sheremet
,
M. A.
, and
Pop
,
I.
,
2015
, “
Magnetic Field Effect on the Unsteady Natural Convection in a Right-Angle Trapezoidal Cavity Filled With a Nanofluid: Buongiorno's Mathematical Model
,”
Int. J. Numer. Methods Heat Fluid Flow
,
25
(8), pp.
1924
1946
.
28.
Sheremet
,
M. A.
,
Pop
,
I.
, and
Rosca
,
N. C.
,
2016
, “
Magnetic Field Effect on the Unsteady Natural Convection in a Wavy-Walled Cavity Filled With a Nanofluid: Buongiorno's Mathematical Model
,”
J. Taiwan Inst. Chem. Eng.
,
61
, pp.
211
222
.
29.
Shenoy
,
A.
,
Sheremet
,
M.
, and
Pop
,
I.
,
2016
,
Convective Flow and Heat Transfer From Wavy Surfaces: Viscous Fluids, Porous Media and Nanofluids
,
CRC Press
,
Boca Raton, FL
.
30.
Mohamad
,
A. A.
,
El-Ganaoui
,
M.
, and
Bennacer
,
R.
,
2009
, “
Lattice Boltzmann Simulation of Natural Convection in an Open Ended Cavity
,”
Int. J. Therm. Sci.
,
48
(10), pp.
1870
1875
.
31.
Mahmoudi
,
A.
,
Mejri
,
I.
,
Abbassi
,
M. A.
, and
Omri
,
A.
,
2015
, “
Analysis of MHD Natural Convection in a Nanofluid-Filled Open Cavity With Non Uniform Boundary Condition in the Presence of Uniform Heat Generation/Absorption
,”
Powder Technol.
,
269
, pp.
275
289
.
32.
Yesiloz
,
G.
, and
Aydin
,
O.
,
2013
, “
Laminar Natural Convection in Right-Angled Triangular Enclosures Heated and Cooled on Adjacent Walls
,”
Int. J. Heat Mass Transfer
,
60
, pp.
365
374
.
33.
Haese
,
P. M.
, and
Teubner
,
M. D.
,
2002
, “
Heat Exchange in an Attic Space
,”
Int. J. Heat Mass Transfer
,
45
(25), pp.
4925
4936
.
34.
Varol
,
Y.
,
Oztop
,
H. F.
, and
Pop
,
I.
,
2010
, “
Maximum Density Effects on Buoyancy-Driven Convection in a Porous Trapezoidal Cavity
,”
Int. Commun. Heat Mass Transfer
,
37
(4), pp.
401
409
.
35.
Buongiorno
,
J.
,
2006
, “
Convective Transport in Nanofluids
,”
ASME J. Heat Transfer
,
128
(
3
), pp.
240
250
.
You do not currently have access to this content.