This paper addresses nonlinear mixed convection flow due to Riga plate with double stratification. Heat transfer analysis is reported for heat generation/absorption and nonlinear thermal radiation. Physical problem is mathematically modeled and nonlinear system of partial differential equations is achieved. Transformations are then utilized to obtain nonlinear system of ordinary differential equations. Homotopic technique is utilized for the solution procedure. Graphical descriptions for velocity, temperature, and concentration distributions are captured and argued for several set of physical variables. Features of skin friction and Nusselt and Sherwood numbers are also illustrated. Our computed results indicate that the attributes of radiation and temperature ratio variables enhance the temperature distribution. Moreover, the influence of buoyancy ratio and modified Hartmann number has revers effects on rate of heat transfer.

References

1.
Gupta
,
P. S.
, and
Gupta
,
A. S.
,
1974
, “
Radiation Effect on Hydromagnetic Convection in a Vertical Channel
,”
Int. J. Heat Mass Transfer
,
17
(
12
), pp.
1437
1442
.
2.
Hossain
,
M. A.
, and
Takhar
,
H. S.
,
1996
, “
Radiative Effect on Mixed Convection Along a Vertical Plate With Uniform Surface Temperature
,”
Int. J. Heat Mass Transfer
,
31
(
4
), pp.
243
248
.
3.
Hossain
,
M. A.
,
Alim
,
M. A.
, and
Rees
,
D. A.
,
1999
, “
Effect of Radiation on Free Convection From a Porous Vertical Plate
,”
Int. J. Heat Mass Transfer
,
42
(
1
), pp.
181
191
.
4.
Rashidi
,
M. M.
,
Ali
,
M.
,
Freidoonimehr
,
N.
,
Rostami
,
B.
, and
Hossain
,
M. A.
,
2014
, “
Mixed Convection Heat Transfer for MHD Viscoelastic Fluid Flow Over a Porous Wedge With Thermal Radiation
,”
Adv. Mech. Eng.
,
6
, p.
735939
.
5.
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
.
6.
Gireesha
,
B. J.
,
Mahanthesh
,
B.
,
Gorla
,
R. S. R.
, and
Krupalakshmi
,
K. L.
,
2016
, “
Mixed Convection Two-Phase Flow of Maxwell Fluid Under the Influence of Non-Linear Thermal Radiation, NonUniform Heat Source/Sink and Fluid-Particle Suspension
,”
Ain Shams Eng. J.
, in press.
7.
Hayat
,
T.
,
Qayyum
,
S.
,
Alsaedi
,
A.
, and
Ahmad
,
B.
,
2017
, “
Magnetohydrodynamic (MHD) Nonlinear Convective Flow of Walter-B Nanofluid Over a Nonlinear Stretching Sheet With Variable Thickness
,”
Int. J. Heat Mass Transfer
,
110
, pp.
506
514
.
8.
Hayat
,
T.
,
Qayyum
,
S.
,
Shehzad
,
S. A.
, and
Alsaedi
,
A.
,
2017
, “
Magnetohydrodynamic Three-Dimensional Nonlinear Convection Flow of Oldroyd-B Nanoliquid With Heat Generation/Absorption
,”
J. Mol. Liq.
,
230
, pp.
641
651
.
9.
Lee
,
L. L.
,
2014
, “Boundary Layer Over a Thin Needle,”
Phys. Fluids
, 10, p. 820.
10.
Fang
,
T.
,
Zhang
,
J.
, and
Zhong
,
Y.
,
2012
, “
Boundary Layer Flow Over a Stretching Sheet With Variable Thickness
,”
Appl. Math. Comput.
,
218
(
13
), pp.
7241
7252
.
11.
Abdel-Wahed
,
M. S.
,
Elbashbeshy
,
E. M. A.
, and
Emam
,
T. G.
,
2015
, “
Flow and Heat Transfer Over a Moving Surface With Non-Linear Velocity and Variable Thickness in a Nanofluids in the Presence of Brownian Motion
,”
Appl. Math. Comput.
,
254
, pp.
49
62
.
12.
Hayat
,
T.
,
Farooq
,
M.
,
Alsaedi
,
A.
, and
Al-Solamy
,
F.
,
2015
, “
Impact of Cattaneo-Christov Heat Flux in the Flow Over a Stretching Sheet With Variable Thickness
,”
AIP Adv.
,
5
(
8
), p.
087159
.
13.
Zhang
,
X.
,
Zhang
,
H.
, and
Wang
,
Z.
,
2016
, “
Bending Collapse of Square Tubes With Variable Thickness
,”
Int. J. Mech. Sci.
,
106
, pp.
107
116
.
14.
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
,”
Res. Phys.
,
7
, pp.
189
196
.
15.
Gailitis
,
A.
, and
Lielausis
,
O.
,
1961
, “
On a Possibility to Reduce the Hydrodynamic Resistance of a Plate in an Electrolyte
,”
Appl. Magneto-Hydrodyn. Rep. Phys. Inst. Riga
,
12
, pp.
143
146
.
16.
Grinberg
,
E.
,
1961
, “
On Determination of Properties of Some Potential Fields
,”
Appl. Magnetohydrodyn. Rep. Phys. Inst. Riga
,
12
, pp.
147
154
.
17.
Pang
,
J.
, and
Choi
,
K. S.
,
2004
, “
Turbulent Drag Reduction by Lorentz Force Oscillation
,”
Phys. Fluids
,
16
(
5
), pp.
35
38
.
18.
Hayat
,
T.
,
Abbas
,
T.
,
Ayub
,
M.
,
Farooq
,
M.
, and
Alsaedi
,
A.
,
2016
, “
Flow of Nanofluid Due to Convectively Heated Riga Plate With Variable Thickness
,”
J. Mol. Liq.
,
222
, pp.
854
862
.
19.
Ahmad
,
R.
,
Mustafa
,
M.
, and
Turkyilmazoglu
,
M.
,
2017
, “
Buoyancy Effects on Nanofluid Flow Past a Convectively Heated Vertical Riga-Plate: A Numerical Study
,”
Int. J. Heat Mass Transfer
,
111
, pp.
827
835
.
20.
Farooq
,
M.
,
Anjum
,
A.
,
Hayat
,
T.
, and
Alsaedi
,
A.
,
2016
, “
Melting Heat Transfer in the Flow Over a Variable Thicked Riga Plate With Homogeneous-Heterogeneous Reactions
,”
J. Mol. Liq.
,
224
(
Pt. B
), pp.
1341
1347
.
21.
Liao
,
S. J.
,
2004
, “
On the Homotopy Analysis Method for Nonlinear Problems
,”
Appl. Math. Comput.
,
147
(
2
), pp.
499
513
.
22.
Dehghan
,
M.
,
Manafian
,
J.
, and
Saadatmandi
,
A.
,
2010
, “
Solving Nonlinear Fractional Partial Differential Equations Using the Homotopy Analysis Method
,”
Numer. Meth. Partial Differ. Equations
,
26
, pp.
448
479
.
23.
Bansod
,
V.
, and
Jadhav
,
R.
,
2010
, “
Effect of Double Stratification on Mixed Convection Heat and Mass Transfer From a Vertical Surface in a Fluid-Saturated Porous Medium
,”
Heat Transfer Asian Res.
,
39
, pp.
378
395
.
24.
Hayat
,
T.
,
Ullah
,
I.
,
Muhammad
,
T.
,
Alsaedi
,
A.
, and
Shehzad
,
S. A.
,
2016
, “
Three-Dimensional Flow of Powell-Eyring Nanofluid With Heat and Mass Flux Boundary Conditions
,”
Chin. Phys. B
,
25
(
7
), p.
074701
.
25.
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
.
26.
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
.
27.
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
.
28.
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
.
29.
Ellahi
,
R.
,
Hassan
,
M.
, and
Zeeshan
,
A.
,
2015
, “
Shape Effects of Nanosize Particles in Cu-H2O Nanofluid on Entropy Generation
,”
Int. J. Heat Mass Transfer
,
81
, pp.
449
456
.
30.
Hayat
,
T.
,
Ullah
,
I.
,
Muhammad
,
T.
, and
Alsaedi
,
A.
,
2017
, “
Radiative Three-Dimensional Flow With Soret and Dufour Effects
,”
Int. J. Mech. Sci.
,
133
, pp.
829
837
.
31.
Turkyilmazoglu
,
M.
,
2016
, “
An Effective Approach for Evaluation of the Optimal Convergence Control Parameter in the Homotopy Analysis Method
,”
Filomat
,
30
(
6
), pp.
1633
1650
.
32.
Hayat
,
T.
,
Ullah
,
I.
,
Muhammad
,
T.
, and
Alsaedi
,
A.
,
2017
, “
A Revised Model for Stretched Flow of Third Grade Fluid Subject to Magneto Nanoparticles and Convective Condition
,”
J. Mol. Liq.
,
230
, pp.
608
615
.
33.
Ahmad
,
T.
,
Javed
,
T.
,
Hayat
,
M.
, and
Sajid
,
2011
, “
Series Solutions for the Radiation-Conduction Interaction on Unsteady MHD Flow
,”
J. Porous Media
,
14
(
10
), pp.
927
941
.
34.
Hayat
,
T.
,
Ullah
,
I.
,
Muhammad
,
T.
, and
Alsaedi
,
A.
,
2017
, “
Thermal and Solutal Stratification in Mixed Convection Three-Dimensional Flow of an Oldroyd-B Nanofluid
,”
Results Phys.
,
7
, pp.
3797
3805
.
35.
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
.
36.
Turkyilmazoglu
,
M.
,
2017
, “
Parametrized Adomian Decomposition Method With Optimum Convergence
,”
Trans. Model. Comput. Simul.
,
27
(
4
), p.
22
.
37.
Hayat
,
T.
,
Ullah
,
I.
,
Alsaedi
,
A.
, and
Ahmad
,
B.
,
2018
, “
Numerical Simulation for Homogeneous–Heterogeneous Reactions in Flow of Sisko Fluid
,”
J. Braz. Soc. Mech. Sci. Eng.
,
40
(
2
), p.
73
.
38.
Zaigham Zia
,
Q. M.
,
Ullah
,
I.
,
Waqas
,
M.
,
Alsaedi
,
A.
, and
Hayat
,
T.
,
2018
, “
Cross Diffusion and Exponential Space Dependent Heat Source Impacts in Radiated Three-Dimensional (3D) Flow of Casson Fluid by Heated Surface
,”
Results Phys.
,
8
, pp.
1275
1282
.
39.
Farooq
,
M.
,
Javed
,
M.
,
Ijaz Khan
,
M.
,
Anjum
,
A.
, and
Hayat
,
T.
,
2017
, “
Melting Heat Transfer and Double Stratification in Stagnation Flow of Viscous Nanofluid
,”
Results Phys.
,
7
, pp.
2296
2301
.
40.
Ramzan
,
M.
,
Bilal
,
M.
, and
Chung
,
J. D.
,
2017
, “
Radiative Williamson Nanofluid Flow Over a Convectively Heated Riga Plate With Chemical Reaction-a Numerical Approach
,”
Chin. J. Phys.
,
55
(
4
), pp.
1663
1673
.
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