Abstract

Magneto-ferrofluid mixed convection flow inside a lid-driven square cavity with partial slip is investigated numerically using the finite volume method. The vertical walls of the enclosure are heated partially by a constant temperature, while the horizontal moving walls are kept adiabatic. The square enclosure is filled with a mixture of kerosene–cobalt ferrofluids. The numerical computations are obtained for various parameters of the heat source length, position of the heat source, Hartmann number, Richardson number, fraction ferromagnetic particles, and constant movement parameter. It is shown that the transfer rate is clearly affected by the augmentation of the ferromagnetic particles volume fraction under the influence of a relative magnetic field and by the opposite-direction horizontal walls movement.

References

1.
Papanicolaou
,
E.
, and
Jaluria
,
Y.
,
1990
, “
Mixed Convection From an Isolated Heat Source in a Rectangular Enclosure
,”
Numer. Heat Transfer, Part A
,
18
(
4
), pp.
427
461
. 10.1080/10407789008944802
2.
Khanafer
,
K. M.
, and
Chamkha
,
A. J.
,
1999
, “
Mixed Convection Flowin a Lid-Driven Enclosure Filled With a Fluid-Saturated Porous Medium
,”
Int. J. Heat Mass Transfer
,
42
(
13
), pp.
2465
2481
. 10.1016/S0017-9310(98)00227-0
3.
Huang
,
C. C.
, and
Lin
,
T. F.
,
1995
, “
Vortex Flow and Thermal Characteristics in Mixed Convection of Air in a Horizontal Rectangular Duct: Effects of the Reynolds and Grashof Numbers
,”
Int. J. Heat Mass Transfer
,
38
(
9
), pp.
1661
1674
.
4.
Abu-Nada
,
E.
, and
Chamkha
,
A. J.
,
2010
, “
Mixed Convection Flow in a Lid-Driven Inclined Square Enclosure Filled With a Nanofluid
,”
Eur. J. Mech. B Fluids
,
29
(
6
), pp.
472
482
. 10.1016/j.euromechflu.2010.06.008
5.
Mansour
,
M. A.
,
Chamkha
,
A. J.
, and
Ahmed
,
S. E.
,
2011
, “
Mixed Convection Flow of a Nanofluid in a Square Lid-Driven Cavity With a Localized Heat Source at the Bottom Wall
,”
Int. J. Microscale Nanoscale Therm. Fluid Transp. Phenom.
,
2
, pp.
229
250
.
6.
Ismael
,
M. A.
,
Pop
,
I.
, and
Chamkha
,
A. J.
,
2014
, “
Mixed Convection in a Lid-Driven Square Cavity With Partial Slip
,”
Int. J. Therm. Sci.
,
82
, pp.
47
61
. 10.1016/j.ijthermalsci.2014.03.007
7.
Nabwey
,
H. A.
,
Boumazgour
,
M.
, and
Rashad
,
A. M.
,
2017
, “
Group Method Analysis of Mixed Convection Stagnation-Point Flow of non-Newtonian Nanofluid Over a Vertical Stretching Surface
,”
Indian J. Phys.
,
91
(
7
), pp.
731
742
. 10.1007/s12648-017-0978-2
8.
Nayak
,
R. K.
,
Bhattacharyya
,
S.
, and
Pop
,
I.
,
2016
, “
Heat Transfer and Entropy Generation in Mixed Convection of a Nanofluid Within an Inclined Skewed Cavity
,”
Int. J. Heat Mass Transfer
,
102
, pp.
596
609
. 10.1016/j.ijheatmasstransfer.2016.06.049
9.
Rashad
,
A. M.
, and
Nabwey
,
H. A.
,
2019
, “
Gyrotactic Mixed Bioconvection Flow of a Nanofluid Past a Circular Cylinder With Convective Boundary Condition
,”
J. Taiwan Inst. Chem. Eng.
,
99
, pp.
9
17
. 10.1016/j.jtice.2019.02.035
10.
Ferdows
,
M.
,
Nabwey
,
H. A.
,
Rashad
,
A. M.
,
Uddin
,
M. J.
, and
Alzahrani
,
F.
,
2019
, “
Boundary Layer Flow of a Nanofluid Past a Horizontal Flat Plate in a Darcy Porous Medium: A Lie Group Approach
,”
Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci
. 10.1177/0954406219896594
11.
Ishrat
,
Z.
,
Nasrin
,
R.
, and
Alim
,
M. A.
,
2019
, “
Hybrid Nanofluid Flow in Combined Convective Lid-Driven Sinusoidal Triangular Enclosure
,”
AIP Conf. Proc.
,
2121
(
1
), p.
070001
. 10.1063/1.5115908
12.
Nabwey
,
H. A.
, and
EL-Mky
,
H. A.
,
2019
, “
Lie Group Analysis of Thermophoresis on a Vertical Surface in a Porous Medium
,”
J. King Saud Univ. Sci.
,
31
(
4
), pp.
1048
1055
. 10.1016/j.jksus.2018.09.011
13.
Nabwey
,
H. A.
,
EL-Kabeir
,
S. M. M.
, and
Rashad
,
A. M.
,
2015
, “
Lie Group Analysis of Effects of Radiation and Chemical Reaction on Heat and Mass Transfer by Unsteady Slip Flow From a Non-Isothermal Stretching Sheet Immersed in a Porous Medium
,”
J. Comput. Theor. Nanosci.
,
12
(
11
), pp.
4056
4062
. 10.1166/jctn.2015.4318
14.
Tavakoli
,
M. R.
,
Akbari
,
O. A.
,
Mohammadian
,
A.
,
Khodabandeh
,
E.
, and
Pourfattah
,
F.
,
2019
, “
Numerical Study of Mixed Convection Heat Transfer Inside a Vertical Microchannel With Two-Phase Approach
,”
J. Therm. Anal. Calorim.
,
135
(
2
), pp.
1119
1134
. 10.1007/s10973-018-7460-z
15.
Esfe
,
M. H.
,
Saedodin
,
S.
,
Malekshah
,
E. H.
,
Babaie
,
A.
, and
Rostamian
,
H.
,
2019
, “
Mixed Convection Inside Lid-Driven Cavities Filled With Nanofluids
,”
J. Therm. Anal. Calorim.
,
135
(
1
), pp.
813
859
. 10.1007/s10973-018-7519-x
16.
Irfan
,
M.
,
Khan
,
W. A.
,
Khan
,
M.
, and
Gulzar
,
M. M.
,
2019
, “
Influence of Arrhenius Activation Energy in Chemically Reactive Radiative Flow of 3D Carreau Nanofluid With Nonlinear Mixed Convection
,”
J. Phys. Chem. Solids
,
125
, pp.
141
152
. 10.1016/j.jpcs.2018.10.016
17.
Selimefendigil
,
F.
,
Oztop
,
H. F.
, and
Chamkha
,
A. J.
,
2019
, “
MHD Mixed Convection in a Nanofluid Filled Vertical Lid-Driven Cavity Having a Flexible Fin Attached to its Upper Wall
,”
J. Therm. Anal. Calorim.
,
135
(
1
), pp.
325
340
. 10.1007/s10973-018-7036-y
18.
Mahdy
,
A.
,
Hady
,
F. M.
, and
Nabwey
,
H. A.
,
2019
, “
Unsteady Homogeneous-Heterogeneous Reactions in MHD Nanofluid Mixed Convection Flow Past a Stagnation Point of an Impulsively Rotating Sphere
,”
Therm. Sci.
10.2298/TSCI190712388M
19.
Alsabery
,
A. I.
,
Ismael
,
M. A.
,
Chamkha
,
A. J.
, and
Hashim
,
I.
,
2018
, “
Mixed Convection of Al2O3-Water Nanofluid in a Double Lid-Driven Square Cavity With a Solid Inner Insert Using Buongiorno’s Two-Phase Model
,”
Int. J. Heat Mass Transfer
,
119
, pp.
939
961
. 10.1016/j.ijheatmasstransfer.2017.11.136
20.
Khan
,
N.
,
Nabwey
,
H. A.
,
Hashmi
,
M. S.
, and
Khan
,
S. U.
,
2020
, “
A Theoretical Analysis for Mixed Convection Flow of Maxwell Fluid Between Two Infinite Isothermal Stretching Disks With Heat Source/Sink
,”
Symmetry
,
12
(
1
), pp.
1
18
.
21.
Sheremet
,
M. A.
, and
Pop
,
I.
,
2015
, “
Mixed Convection in a Lid-Driven Square Cavity Filled by a Nanofluid: Buongiorno's Mathematical Model
,”
Appl. Math. Comput.
,
266
, pp.
792
808
. 10.1016/j.amc.2015.05.145
22.
Waqas
,
M.
,
Farooq
,
M.
,
Khan
,
M. I.
,
Alsaedi
,
A.
,
Hayat
,
T.
, and
Yasmeen
,
T.
,
2016
, “
Magnetohydrodynamic (MHD) Mixed Convection Flow of Micropolar Liquid Due to Nonlinear Stretched Sheet With Convective Condition
,”
Int. J. Heat Mass Transfer
,
102
, pp.
766
772
. 10.1016/j.ijheatmasstransfer.2016.05.142
23.
Hayat
,
T.
,
Qayyum
,
S.
,
Alsaedi
,
A.
, and
Waqas
,
M.
,
2016
, “
Simultaneous Influences of Mixed Convection and Nonlinear Thermal Radiation in Stagnation Point Flow of Oldroyd-B Fluid Towards an Unsteady Convectively Heated Stretched Surface
,”
J. Mol. Liq.
,
224
(
Part A
), pp.
811
817
. 10.1016/j.molliq.2016.09.126
24.
Gibanov
,
N. S.
,
Sheremet
,
M. A.
,
Oztop
,
H. F.
, and
Abu-Hamdeh
,
N.
,
2017
, “
Effect of Uniform Inclined Magnetic Field on Mixed Convection in a Lid-Driven Cavity Having a Horizontal Porous Layer Saturated With a Ferrofluid
,”
Int. J. Heat Mass Transfer
,
114
, pp.
1086
1097
. 10.1016/j.ijheatmasstransfer.2017.07.001
25.
Gibanov
,
N. S.
,
Sheremet
,
M. A.
,
Oztop
,
H. F.
, and
Nusier
,
O. K.
,
2017
, “
Convective Heat Transfer of Ferrofluid in a Lid-Driven Cavity With a Heat-Conducting Solid Backward Step Under the Effect of a Variable Magnetic Field
,”
Numer. Heat Transfer, Part A
,
72
(
1
), pp.
54
67
. 10.1080/10407782.2017.1353377
26.
Astanina
,
M. S.
,
Sheremet
,
M. A.
,
Oztop
,
H. F.
, and
Abu-Hamdeh
,
N.
,
2018
, “
Mixed Convection of Al2O3-Water Nanofluid in a Lid-Driven Cavity Having Two Porous Layers
,”
Int. J. Heat Mass Transfer
,
118
, pp.
527
537
. 10.1016/j.ijheatmasstransfer.2017.11.018
27.
Waqas
,
M.
,
Shehzad
,
S. A.
,
Hayat
,
T.
,
Khan
,
M. I.
, and
Alsaedi
,
A.
,
2019
, “
Simulation of Magnetohydrodynamics and Radiative Heat Transport in Convectively Heated Stratified Flow of Jeffrey Nanofluid
,”
J. Phys. Chem. Solids
,
133
, pp.
45
51
. 10.1016/j.jpcs.2019.03.031
28.
Alsabery
,
A. I.
,
Sheremet
,
M. A.
,
Chamkha
,
A. J.
, and
Hashim
,
I.
,
2019
, “
Impact of Nonhomogeneous Nanofluid Model on Transient Mixed Convection in a Double Lid-Driven Wavy Cavity Involving Solid Circular Cylinder
,”
Int. J. Mech. Sci.
,
150
, pp.
637
655
. 10.1016/j.ijmecsci.2018.10.069
29.
Bondarenko
,
D. S.
,
Sheremet
,
M. A.
,
Oztop
,
H. F.
, and
Abu-Hamdeh
,
N.
,
2019
, “
Mixed Convection Heat Transfer of a Nanofluid in a Lid-Driven Enclosure With Two Adherent Porous Blocks
,”
J. Therm. Anal. Calorim.
,
135
(
2
), pp.
1095
1105
. 10.1007/s10973-018-7455-9
30.
Kalambur
,
V. S.
,
Han
,
B.
,
Hammer
,
B. E.
,
Shield
,
T. W.
, and
Bischof
,
J. C.
,
2005
, “
In Vitro Characterization of Movement, Heating and Visualization of Magnetic Nanoparticles for Biomedical Applications
,”
Nanotechnology
,
16
(
8
), p.
1221
1233
. 10.1088/0957-4484/16/8/041
31.
Ober
,
C. A.
, and
Gupta
,
R. B.
,
2011
, “
Nanoparticle Technology for Drug Delivery
,”
Ideas Concyteg
,
6
(
72
), pp.
714
726
.
32.
Sadoqi
,
M.
,
Kumar
,
S.
,
Lau-Cam
,
C.
, and
Saxena
,
V
.,
2006
, “Biocompatible Nanoparticulate Systems for Tumor Diagnosis and Therapy,”
Biological and Pharmaceutical Nanomaterials
,
C. S. S. R.
Kumar
ed.,
Wiley-VCH
,
New York
, pp.
304
343
.
33.
Odenbach
,
S.
,
2009
,
Colloidal Magnetic Fluids: Basics, Development and Application of Ferrofluids
,
Springer
,
New York
.
34.
Singamaneni
,
S.
,
Bliznyuk
,
V. N.
,
Binek
,
C.
, and
Tsymbal
,
E. Y.
,
2011
, “
Magnetic Nanoparticles: Recent Advances in Synthesis, Self-Assembly and Applications
,”
J. Mater. Chem.
,
21
(
42
), pp.
16819
16845
. 10.1039/c1jm11845e
35.
Odenbach
,
S.
, and
Thurm
,
S.
,
2002
,
Magnetoviscous Effects in Ferrofluids
,
Springer
,
New York
.
36.
Charles
,
S.W
,
2003
, “The Preparation of Magnetic Fluids,”
Ferrofluids
, Vol.
594
,
S. Odenbach
, ed.,
Springer
,
New York
, pp.
3
18
.
37.
Philip
,
J.
, and
Laskar
,
J. M.
,
2012
, “
Optical Properties and Applications of Ferrofluids—A Review
,”
J. Nanofluids
,
1
(
1
), pp.
3
20
. 10.1166/jon.2012.1002
38.
Genc
,
S.
, and
Derin
,
B.
,
2014
, “
Synthesis and Rheology of Ferrofluids: A Review
,”
Curr. Opin. Chem. Eng.
,
3
, pp.
118
124
. 10.1016/j.coche.2013.12.006
39.
Alsaady
,
M.
,
Fu
,
R.
,
Li
,
B.
,
Boukhanouf
,
R.
, and
Yan
,
Y.
,
2015
, “
Thermo-Physical Properties and Thermo-Magnetic Convection of Ferrofluid
,”
Appl. Therm. Eng.
,
88
, pp.
14
21
. 10.1016/j.applthermaleng.2014.09.087
40.
Snyder
,
S. M.
,
Cader
,
T.
, and
Finlayson
,
B. A.
,
2003
, “
Finite Element Model of Magnetoconvection of a Ferrofluid
,”
J. Magn. Magn. Mater.
,
262
(
2
), pp.
269
279
. 10.1016/S0304-8853(02)01502-0
41.
Jue
,
T. C.
,
2006
, “
Analysis of Combined Thermal and Magnetic Convection Ferrofluid Flow in a Cavity
,”
Int. Commun. Heat Mass Transfer
,
33
(
7
), pp.
846
852
. 10.1016/j.icheatmasstransfer.2006.02.001
42.
Jafari
,
A.
,
Tynjälä
,
T.
,
Mousavi
,
S. M.
, and
Sarkomaa
,
P.
,
2008
, “
Simulation of Heat Transfer in a Ferrofluid Using Computational Fluid Dynamics Technique
,”
Int. J. Heat Fluid Flow
,
29
(
4
), pp.
1197
1202
. 10.1016/j.ijheatfluidflow.2008.01.007
43.
Nanjundappa
,
C. E.
,
Shivakumara
,
I. S.
, and
Ravisha
,
M.
,
2010
, “
The Onset of Ferroconvection in a Horizontal Ferrofluid Saturated Porous Layer Heated From Below and Cooled From Above With Constant Heat Flux Subject to MFD Viscosity
,”
Int. Commun. Heat Mass Transfer
,
37
(
9
), pp.
1246
1250
. 10.1016/j.icheatmasstransfer.2010.08.011
44.
Lajvardi
,
M.
,
Moghimi-Rad
,
J.
,
Hadi
,
I.
,
Gavili
,
A.
,
Isfahani
,
T. D.
,
Zabihi
,
F.
, and
Sabbaghzadeh
,
J.
,
2010
, “
Experimental Investigation for Enhanced Ferrofluid Heat Transfer Under Magnetic Field Effect
,”
J. Magn. Magn. Mater.
,
322
(
21
), pp.
3508
3513
. 10.1016/j.jmmm.2010.06.054
45.
Gavili
,
A.
,
Zabihi
,
F.
,
Isfahani
,
T. D.
, and
Sabbaghzadeh
,
J.
,
2012
, “
The Thermal Conductivity of Water Base Ferrofluids Under Magnetic Field
,”
Exp. Therm. Fluid. Sci.
,
41
, pp.
94
98
. 10.1016/j.expthermflusci.2012.03.016
46.
Aminfar
,
H.
,
Mohammadpourfard
,
M.
, and
Zonouzi
,
S. A.
,
2013
, “
Numerical Study of the Ferrofluid Flow and Heat Transfer Through a Rectangular Duct in the Presence of a Non-Uniform Transverse Magnetic Field
,”
J. Magn. Magn. Mater.
,
327
, pp.
31
42
. 10.1016/j.jmmm.2012.09.011
47.
Sheikholeslami
,
M.
, and
Gorji-Bandpy
,
M.
,
2014
, “
Free Convection of Ferrofluid in a Cavity Heated From Below in the Presence of an External Magnetic Field
,”
Powder Technol.
,
256
, pp.
490
498
. 10.1016/j.powtec.2014.01.079
48.
Selimefendigil
,
F.
, and
Öztop
,
H. F.
,
2014
, “
Forced Convection of Ferrofluids in a Vented Cavity With a Rotating Cylinder
,”
Int. J. Therm. Sci.
,
86
, pp.
258
275
. 10.1016/j.ijthermalsci.2014.07.007
49.
Kefayati
,
G. H. R.
,
2014
, “
Natural Convection of Ferrofluid in a Linearly Heated Cavity Utilizing LBM
,”
J. Mol. Liq.
,
191
, pp.
1
9
. 10.1016/j.molliq.2013.11.021
50.
Rahman
,
M. M.
,
Mojumder
,
S.
,
Saha
,
S.
,
Joarder
,
A. H.
,
Saidur
,
R.
, and
Naim
,
A. G.
,
2015
, “
Numerical and Statistical Analysis on Unsteady Magnetohydrodynamic Convection in a Semi-Circular Enclosure Filled With Ferrofluid
,”
Int. J. Heat Mass Transfer
,
89
, pp.
1316
1330
. 10.1016/j.ijheatmasstransfer.2015.06.021
51.
Malvandi
,
A.
,
Heysiattalab
,
S.
, and
Ganji
,
D. D.
,
2016
, “
Effects of Magnetic Field Strength and Direction on Anisotropic Thermal Conductivity of Ferrofluids (Magnetic Nanofluids) at Filmwise Condensation Over a Vertical Cylinder
,”
Adv. Powder Technol.
,
27
(
4
), pp.
1539
1546
. 10.1016/j.apt.2016.05.015
52.
Khosravi
,
A.
,
Malekan
,
M.
, and
Assad
,
M. E.
,
2019
, “
Numerical Analysis of Magnetic Field Effects on the Heat Transfer Enhancement in Ferrofluids for a Parabolic Trough Solar Collector
,”
Renewable Energy
,
134
, pp.
54
63
. 10.1016/j.renene.2018.11.015
53.
Khosravi
,
A.
, and
Malekan
,
M.
,
2019
, “
Effect of the Magnetic Field on the Heat Transfer Coefficient of a Fe3O4-Water Ferrofluid Using Artificial Intelligence and CFD Simulation
,”
Eur. Phys. J. Plus
,
134
(
3
), p.
88
. 10.1140/epjp/i2019-12477-5
54.
Malekan
,
M.
,
Khosravi
,
A.
, and
Zhao
,
X.
,
2019
, “
The Influence of Magnetic Field on Heat Transfer of Magnetic Nanofluid in a Double Pipe Heat Exchanger Proposed in a Small-Scale CAES System
,”
Appl. Therm. Eng.
,
146
, pp.
146
159
. 10.1016/j.applthermaleng.2018.09.117
55.
Waqas
,
M.
,
2020
, “
A Mathematical and Computational Framework for Heat Transfer Analysis of Ferromagnetic Non-Newtonian Liquid Subjected to Heterogeneous and Homogeneous Reactions
,”
J. Magn. Magn. Mater.
,
493
, p.
165646
. 10.1016/j.jmmm.2019.165646
56.
Iwatsu
,
R.
,
Hyun
,
J. M.
, and
Kuwahara
,
K.
,
1993
, “
Mixed Convection in a Driven Cavity With a Stable Vertical Temperature Gradient
,”
Int. J. Heat Mass Transfer
,
36
(
6
), pp.
1601
1608
. 10.1016/S0017-9310(05)80069-9
You do not currently have access to this content.