Abstract

This study explores the flow of magnetized nanomaterials between two parallel disks. Novel aspects of activation energy and nonlinear thermal radiation characterized the heat and mass transfer. Nonlinear system of ODEs is obtained via proper variables. Homotopic scheme determines the convergence interval of governing expressions. Plots have been interpreted in order to examine how the temperature and concentration are influenced by various physical variables. Further, surface drag forces and heat and mass transfer rates are computed numerically and analyzed. Our computed analysis depicts that the influence of squeezed and magnetic parameters have reverse effects on temperature.

References

1.
Choi
,
S. U. S.
, and
Eastman
,
J. A.
,
1995
, “
Enhancing Thermal Conductivity of Fluids With Nanoparticles
,”
ASME
Paper No. ANL/MSD/CP-84938.
2.
Bergna
,
H. E.
, and
Roberts
,
W. O.
,
2006
,
Colloidal Silica: Fundamentals and Applications
,
CRC Taylor & Francis
, CRC Press, Boca Raton, FL.
3.
Iler
,
R. K.
,
1979
,
The Chemistry of Silica: Solubility, Polymerization, Colloid and Surface Properties, and Biochemistry
, Geological Sciences, Bulletins and Memoirs,
Wiley
, Hoboken, NJ .
4.
Mondragon
,
R.
,
Julia
,
J. E.
,
Barba
,
A.
, and
Jarque
,
J. C.
,
2012
, “
Determination of the Packing Fraction of Silica Nanoparticles From the Rheological and Viscoelastic Measurements of Nanofluids
,”
Chem. Eng. Sci.
,
80
, pp.
119
127
.10.1016/j.ces.2012.06.009
5.
Buongiorno
,
J.
,
2006
, “
Convective Transport in Nanofluids
,”
ASME J. Heat Transfer
,
128
(
3
), pp.
240
250
.10.1115/1.2150834
6.
Koriko
,
O. K.
,
Omowaye
,
A. J.
,
Sandeep
,
N.
, and
Animasaun
,
I. L.
,
2017
, “
Analysis of Boundary Layer Formed on an Upper Horizontal Surface of a Paraboloid of Revolution Within Nanofluid Flow in the Presence of Thermophoresis and Brownian Motion of 29 nm CuO
,”
Int. J. Mech. Sci.
,
124–125
, pp.
22
36
.10.1016/j.ijmecsci.2017.02.020
7.
Hayat
,
T.
,
Ullah
,
I.
,
Alsaedi
,
A.
,
Waqas
,
M.
, and
Ahmad
,
B.
,
2017
, “
Three-Dimensional Mixed Convection Flow of Sisko Nanoliquid
,”
Int. J. Mech. Sci.
,
133
, pp.
273
282
.10.1016/j.ijmecsci.2017.07.037
8.
Mahanthesh
,
B.
,
Gireesha
,
B. J.
, and
Raju
,
C. S. K.
,
2017
, “
Cattaneo-Christov Heat Flux on UCM Nanofluid Flow Across a Melting Surface With Double Stratification and Exponential Space Dependent Internal Heat Source
,”
Inf. Med. Unlocked
,
9
, pp.
26
34
.10.1016/j.imu.2017.05.008
9.
Ullah
,
I.
,
Waqas
,
M.
,
Hayat
,
T.
,
Alsaedi
,
A.
, and
Khan
,
M. I.
,
2018
, “
Thermally Radiated Squeezed Flow of Magneto-Nanofluid Between Twoparallel Disks With Chemical Reaction
,”
J. Therm. Anal. Calorim.
, 135(2), pp.
1
10
.10.1007/s10973-018-7482-6
10.
Ebaid
,
A.
, and
Aly
,
E. H.
,
2013
, “
Exact Analytical Solution of Peristaltic Nanofluids Flow in an Asymmetric Channel With Flexible Walls and Slip Condition: Application to the Cancer Treatment
,”
Comput. Math. Methods Med.
,
2013
, pp.
1
8
.10.1155/2013/825376
11.
Hayat
,
T.
,
Ullah
,
I.
,
Alsaedi
,
A.
, and
Farooq
,
M.
,
2017
, “
MHD Flow of Powell-Eyring Nanofluid Over a Non-Linear Stretching Sheet With Variable Thickness
,”
Results Phys.
,
7
, pp.
189
196
.10.1016/j.rinp.2016.12.008
12.
Hayat
,
T.
,
Ullah
,
I.
,
Waqas
,
M.
, and
Alsaedi
,
A.
,
2018
, “
Flow of Chemically Reactive Magneto Cross Nanoliquid With Temperature-Dependent Conductivity
,”
Appl. Nanosci.
, 8, pp.
1453
1460
.10.1007/s13204-018-0813-x
13.
Magyari
,
E.
, and
Pantokratoras
,
A.
,
2011
, “
Note on the Effect of Thermal Radiation in the Linearized Rosseland Approximation on the Heat Transfer Characteristics of Various Boundary Layer Flows
,”
Int. Commun. Heat Mass Transfer
,
38
(
5
), pp.
554
556
.10.1016/j.icheatmasstransfer.2011.03.006
14.
Pantokratoras
,
A.
,
2014
, “
Natural Convection Along a Vertical Isothermal Plate With Linear and Nonlinear Rosseland Thermal Radiation
,”
Int. J. Therm. Sci.
,
84
, pp.
151
157
.10.1016/j.ijthermalsci.2014.05.015
15.
Cortell
,
R.
,
2014
, “
Fluid Flow and Radiative Nonlinear Heat Transfer Over a Stretching Sheet
,”
J. King Saud Univ.-Sci.
,
26
(
2
), pp.
161
167
.10.1016/j.jksus.2013.08.004
16.
Irfan
,
M.
,
Khan
,
M.
, and
Khan
,
W. A.
,
2018
, “
Interaction Between Chemical Species and Generalized Fourier's Law on 3D Flow of Carreau Fluid With Variable Thermal Conductivity and Heat Sink/Source: A Numerical Approach
,”
Results Phys.
,
10
, pp.
107
117
.10.1016/j.rinp.2018.04.036
17.
Ishak
,
A.
,
Nazar
,
R.
, and
Pop
,
I.
,
2008
, “
Uniform Suction/Blowing Effect on Flow and Heat Transfer Due to a Stretching Cylinder
,”
Appl. Math. Model
,
32
(
10
), pp.
2059
2066
.10.1016/j.apm.2007.06.036
18.
Turkyilmazoglu
,
M.
,
2011
, “
Multiple Solutions of Heat and Mass Transfer of MHD Slip Flow for the Viscoelastic Fluid Over a Stretching Sheet
,”
Int. J. Therm. Sci.
,
50
(
11
), pp.
2264
2276
.10.1016/j.ijthermalsci.2011.05.014
19.
Hayat
,
T.
,
Ullah
,
I.
,
Muhammad
,
T.
, and
Alsaedi
,
A.
,
2016
, “
Magnetohydrodynamic (MHD) Three-Dimensional Flow of Second Grade Nanofluid by a Convectively Heated Exponentially Stretching Surface
,”
J. Mol. Liq.
,
220
, pp.
1004
1012
.10.1016/j.molliq.2016.05.024
20.
Zaky
,
M. A.
,
2018
, “
An Improved Tau Method for the Multi-Dimensional Fractional Rayleigh–Stokes Problem for a Heated Generalized Second Grade Fluid
,”
Comput. Math. Appl.
,
75
(
7
), pp.
2243
2258
.10.1016/j.camwa.2017.12.004
21.
Liao
,
S. J.
,
2004
, “
On the Homotopy Analysis Method for Nonlinear Problems
,”
Appl. Math. Comput.
,
147
, pp.
499
513
.
22.
Sheikholeslami
,
M.
,
Hatami
,
M.
, and
Ganji
,
D. D.
,
2014
, “
Micropolar Fluid Flow and Heat Transfer in a Permeable Channel Using Analytic Method
,”
J. Mol. Liq.
,
194
, pp.
30
36
.10.1016/j.molliq.2014.01.005
23.
Hayat
,
T.
,
Ullah
,
I.
,
Alsaedi
,
A.
, and
Ahmad
,
B.
,
2017
, “
Radiative Flow of Carreau Liquid in Presence of Newtonian Heating and Chemical Reaction
,”
Results Phys.
,
7
, pp.
715
722
.10.1016/j.rinp.2017.01.019
24.
Abbasbandy
,
S.
,
Hayat
,
T.
,
Alsaedi
,
A.
, and
Rashidi
,
M. M.
,
2014
, “
Numerical and Analytical Solutions for Falkner-Skan Flow of MHD Oldroyd-B Fluid
,”
Int. J. Numer. Methods Heat Fluid Flow
,
24
(
2
), pp.
390
401
.10.1108/HFF-05-2012-0096
25.
Hayat
,
T.
,
Ullah
,
I.
,
Alsaedi
,
A.
, and
Ahmad
,
B.
,
2017
, “
Modeling Tangent Hyperbolic Nanoliquid Flow With Heat and Mass Flux Conditions
,”
Eur. Phys. J. Plus
,
132
(
3
), p.
112
.10.1140/epjp/i2017-11369-0
26.
Hayat
,
T.
,
Ullah
,
I.
,
Ahmed
,
B.
, and
Alsaedi
,
A.
,
2017
, “
MHD Mixed Convection Flow of Third Grade Liquid Subject to Non-Linear Thermal Radiation and Convective Condition
,”
Results Phys.
,
7
, pp.
2804
2811
.10.1016/j.rinp.2017.07.045
27.
Hayat
,
T.
,
Ullah
,
I.
,
Alsaedi
,
A.
, and
Ahmad
,
B.
,
2018
, “
Simultaneous Effects of Non-Linear Mixed Convection and Radiative Flow Due to Riga-Plate With Double Stratification
,”
ASME J. Heat Transfer
,
140
(
10
), p.
102008
.10.1115/1.4039994
28.
Turkyilmazoglu
,
M.
,
2017
, “
Parametrized Adomian Decomposition Method With Optimum Convergence
,”
Trans. Model. Comput. Simul.
,
27
(
4
), p. 21.10.1145/3106373
29.
Sarma
,
D.
, and
Pandit
,
K. K.
,
2018
, “
Effects of Hall Current, Rotation and Soret Effects on MHD Free Convection Heat and Mass Transfer Flow Past an Accelerated Vertical Plate Through a Porous Medium
,”
Ain Shams Eng. J.
,
9
(
4
), pp.
631
646
.10.1016/j.asej.2016.03.005
30.
Shercliff
,
J. A.
,
1965
,
A Textbook of Magnetohydrodynamics
,
Pergamon Press
, Published online by Cambridge University Press, Cambridge, UK, p.
45
.
31.
Cowling
,
T. G.
,
1957
,
Magnetohydrodynamics
,
Interscience Publishers
,
New York
.
32.
Hayat
,
T.
,
Nazar
,
H.
,
Imtiaz
,
M.
,
Alsaedi
,
A.
, and
Ayub
,
M.
,
2017
, “
Axisymmetric Squeezing Flow of Third Grade Fluid in Presence of Convective Conditions
,”
Chin. J. Phys.
,
55
(
3
), pp.
738
754
.10.1016/j.cjph.2017.02.005
33.
Shafique
,
Z.
,
Mustafa
,
M.
, and
Mushtaq
,
A.
,
2016
, “
Boundary Layer Flow of Maxwell Fluid in Rotating Frame With Binary Chemical Reaction and Activation Energy
,”
Results Phys.
,
6
, pp.
627
633
.10.1016/j.rinp.2016.09.006
34.
Hayat
,
T.
,
Abbas
,
T.
,
Ayub
,
M.
,
Muhammad
,
T.
, and
Alsaedi
,
A.
,
2016
, “
On Squeezed Flow of Jeffrey Nanofluid Between Two Parallel Disks
,”
Appl. Sci.
,
6
(
11
), p.
346
.10.3390/app6110346
35.
Hayat
,
T.
,
Jabeen
,
S.
,
Shafiq
,
A.
, and
Alsaedi
,
A.
,
2016
, “
Radiative Squeezing Flow of Second Grade Fluid With Convective Boundary Conditions
,”
PLoS One
,
11
(
4
), p.
e0152555
.10.1371/journal.pone.0152555
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