Magnetohydrodynamic (MHD) flow of viscous fluid by curved stretching surface is presented in this paper. Heat and mass transfer analysis is studied with double stratification and thermal radiation effects. Joule heating is also taken into consideration. Basic equations of flow problem are obtained using curvilinear coordinates. The partial differential equations are reduced to the nonlinear ordinary differential equations using suitable transformations. Graphical results are shown and analyzed for the effect of different parameters on fluid characteristics. It is noted that thermal and solutal stratification parameters have opposite effect on temperature and concentration distributions. Magnitude of pressure, skin friction coefficient, and Nusselt number decreases for larger curvature parameter.

References

References
1.
Crane
,
L. J.
,
1970
, “
Flow Past a Stretching Plate
,”
J. Appl. Math. Phys. (ZAMP)
,
21
(
4
), pp.
645
647
.
2.
Hayat
,
T.
,
Qayyum
,
S.
,
Imtiaz
,
M.
, and
Alsaedi
,
A.
,
2016
, “
Three-Dimensional Rotating Flow of Jeffrey Fluid for Cattaneo–Christov Heat Flux Model
,”
AIP Adv.
,
6
(
2
), p.
025012
.
3.
Lin
,
Y.
,
Zheng
,
L.
, and
Chen
,
G.
,
2015
, “
Unsteady Flow and Heat Transfer of Pseudoplastic Nanoliquid in a Finite Thin Film on a Stretching Surface With Variable Thermal Conductivity and Viscous Dissipation
,”
Powder Technol.
,
274
, pp.
324
332
.
4.
Turkyilmazoglu
,
M.
,
2016
, “
Flow of a Micropolar Fluid Due to a Porous Stretching Sheet and Heat Transfer
,”
Int. J. Nonlinear Mech.
,
83
, pp.
59
64
.
5.
Rashidi
,
M. M.
,
Bagheri
,
S.
,
Mamoniat
,
E.
, and
Friedoonimehr
,
N.
,
2017
, “
Entropy Analysis of Convective MHD Flow of Third Grade Non-Newtonian Fluid Over a Stretching Sheet
,”
Ain Shams Eng. J.
,
8
(1), pp. 77–85.
6.
Sajid
,
M.
,
Ali
,
N.
,
Javed
,
T.
, and
Abbas
,
Z.
,
2010
, “
Stretching a Curved Surface in a Viscous Fluid
,”
Chin. Phys. Lett.
,
27
(
2
), p.
024703
.
7.
Sajid
,
M.
,
Ali
,
N.
,
Abbas
,
Z.
, and
Javed
,
T.
,
2011
, “
Flow of Micropolar Fluid Over a Curved Stretching Surface
,”
J. Eng. Phys. Thermophys.
,
4
(
84
), pp.
798
804
.
8.
Imtiaz
,
M.
,
Hayat
,
T.
,
Alsaedi
,
A.
, and
Hobiny
,
A.
,
2016
, “
Homogeneous-Heterogeneous Reactions in MHD Flow Due to Unsteady Curved Stretching Surface
,”
J. Mol. Liq.
,
221
, pp.
245
253
.
9.
Rosca
,
N. C.
, and
Pop
,
I.
,
2015
, “
Unsteady Boundary Layer Flow Over a Permeable Curved Stretching/Shrinking Surface
,”
Eur. J. Mech. B/Fluid
,
51
, pp.
61
67
.
10.
Abbas
,
Z.
,
Naveed
,
M.
, and
Sajid
,
M.
,
2016
, “
Hydromagnetic Slip Flow of Nanofluid Over a Curved Stretching Surface With Heat Generation and Thermal Radiation
,”
J. Mol. Liq.
,
215
, pp.
756
762
.
11.
Hayat
,
T.
,
Imtiaz
,
M.
, and
Alsaedi
,
A.
,
2016
, “
Melting Heat Transfer in the MHD Flow of Cu–Water Nanofluid With Viscous Dissipation and Joule Heating
,”
Adv. Powder Technol.
,
27
(
4
), pp.
1301
1308
.
12.
Babu
,
D. H.
, and
Narayana
,
P. V. S.
,
2016
, “
Joule Heating Effects on MHD Mixed Convection of a Jeffrey Fluid Over a Stretching Sheet With Power Law Heat Flux: A Numerical Study
,”
J. Magn. Magn. Mater.
,
412
, pp.
185
193
.
13.
Hussain
,
A.
,
Malik
,
M. Y.
,
Salahuddin
,
T.
,
Bilal
,
S.
, and
Awais
,
M.
,
2017
, “
Combined Effects of Viscous Dissipation and Joule Heating on MHD Sisko Nanofluid Over a Stretching Cylinder
,”
J. Mol. Liq.
,
231
, pp.
341
352
.
14.
Hayat
,
T.
,
Waqas
,
M.
,
Shehzad
,
S. A.
, and
Alsaedi
,
A.
,
2016
, “
A Model of Solar Radiation and Joule Heating in Magnetohydrodynamic (MHD) Convective Flow of Thixotropic Nanofluid
,”
J. Mol. Liq.
,
215
, pp.
704
710
.
15.
Shehzad
,
S. A.
,
Abbasi
,
F. M.
,
Hayat
,
T.
, and
Alsaadi
,
F.
,
2014
, “
MHD Mixed Convective Peristaltic Motion of Nanofluid With Joule Heating and Thermophoresis Effects
,”
PLoS One
,
9
(
11
), p.
e11141
.
16.
Dutta
,
D.
,
2016
, “
Effect of Channel Sidewalls on Joule Heating Induced Sample Dispersion in Rectangular Ducts
,”
Int. J. Heat Mass Transfer.
,
93
, pp.
529
537
.
17.
Sheikholeslami
,
M.
,
Hayat
,
T.
, and
Alsaedi
,
A.
,
2016
, “
MHD Free Convection of Al2O3–Water Nanofluid Considering Thermal Radiation: A Numerical Study
,”
Int. J. Heat Mass Transfer
,
96
, pp.
513
524
.
18.
Zeeshan
,
A.
,
Majeed
,
A.
, and
Ellahi
,
R.
,
2016
, “
Effect of Magnetic Dipole on Viscous Ferro-Fluid Past a Stretching Surface With Thermal Radiation
,”
J. Mol. Liq.
,
215
, pp.
549
554
.
19.
Rashidi
,
M. M.
,
Rostami
,
B.
,
Freidoonimehr
,
N.
, and
Abbasbandy
,
S.
,
2014
, “
Free Convective Heat and Mass Transfer for MHD Fluid Flow Over a Permeable Vertical Stretching Sheet in the Presence of the Radiation and Buoyancy Effects
,”
Ain Shams Eng. J.
,
5
(
3
), pp.
901
912
.
20.
Sheikholeslami
,
M.
,
Ganji
,
D. D.
,
Javed
,
M. Y.
, and
Ellahi
,
R.
,
2015
, “
Effect of Thermal Radiation on MHD Nanofluid Flow and Heat Transfer by Means of Two Phase Model
,”
J. Mag. Mag. Mater.
,
374
, pp.
36
43
.
21.
Rashidi
,
M. M.
,
Ali
,
M.
,
Freidoonimehr
,
N.
,
Rostami
,
B.
, and
Hossain
,
M. A.
,
2014
, “
Mixed Convective Heat Transfer for MHD Viscoelastic Fluid Flow Over a Porous Wedge With Thermal Radiation
,”
Adv. Mech. Eng.
,
6
, p.
735939
.
22.
Pal
,
D.
,
2013
, “
Hall Current and MHD Effects on Heat Transfer Over an Unsteady Stretching Permeable Surface With Thermal Radiation
,”
Comput. Math. Appl.
,
66
(
7
), pp.
1161
1180
.
23.
Rashad
,
A. M.
,
Abbasbandy
,
S.
, and
Chamkha
,
A. J.
,
2014
, “
Mixed Convection Flow of a Micropolar Fluid Over a Continuously Moving Vertical Surface Immersed in a Thermally and Solutally Stratified Medium With Chemical Reaction
,”
J. Taiwan Inst. Chem. Eng.
,
45
(
5
), pp.
2163
2169
.
24.
Babu
,
M. J.
, and
Sandeep
,
N.
,
2017
, “
UCM Flow Across a Melting Surface in the Presence of Double Stratification and Cross-Diffusion Effects
,”
J. Mol. Liq.
,
232
, pp.
27
35
.
25.
Srinivasacharya
,
D.
, and
Upendar
,
M.
,
2013
, “
Effect of Double Stratification on MHD Free Convection in a Micropolar Fluid
,”
J. Egypt. Math. Soc.
,
21
(
3
), pp.
370
378
.
26.
Srinivasacharya
,
D.
, and
Surender
,
O.
,
2015
, “
Double Stratification Effects on Mixed Convection Along a Vertical Plate in a Non-Darcy Porous Medium
,”
Procedia Eng.
,
127
, pp.
986
993
.
27.
Ibrahim
,
W.
, and
Makinde
,
O. D.
,
2013
, “
The Effect of Double Stratification on Boundary Layer Flow and Heat Transfer of Nanofluid Over a Vertical Plate
,”
Comput. Fluids
,
86
, pp.
433
441
.
28.
Liao
,
S. J.
,
1992
, “
The Proposed Homotopy Analysis Technique for the Solution of Nonlinear Problems
,”
Ph.D. thesis
, Shanghai Jiao Tong University, Shanghai, China.
29.
Liao
,
S. J.
,
1999
, “
An Explicit, Totally Analytic Approximation of Blasius Viscous Flow Problems
,”
Int. J. Non-Linear Mech.
,
34
(
4
), pp.
759
778
.
30.
Hayat
,
T.
,
Qayyum
,
S.
,
Imtiaz
,
M.
, and
Alsaedi
,
A.
,
2016
, “
Impact of Cattaneo–Christov Heat Flux in Jeffrey Fluid Flow With Homogeneous-Heterogeneous Reactions
,”
PloS One
,
11
(
2
), p.
e0148662
.
31.
Sui
,
J.
,
Zheng
,
L.
,
Zhang
,
X.
, and
Chen
,
G.
,
2015
, “
Mixed Convection Heat Transfer in Power Law Fluids Over a Moving Conveyor Along an Inclined Plate
,”
Int. J. Heat Mass Transfer
,
85
, pp.
1023
1033
.
32.
Abbasbandy
,
S.
,
Yurusoy
,
M.
, and
Gulluce
,
H.
,
2014
, “
Analytical Solutions of Non-Linear Equations of Power-Law Fluids of Second Grade Over an Infinite Porous Plate
,”
Math. Comput. Appl.
,
19
(
2
), pp. 124–133.
33.
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
.
34.
Hayat
,
T.
,
Qayyum
,
S.
,
Imtiaz
,
M.
,
Alsaedi
,
A.
, and
Alzahrani
,
F.
,
2016
, “
Partial Slip Effect in Flow of Magnetite-Fe3O4 Nanoparticles Between Rotating Stretchable Disks
,”
J. Magn. Magn. Mater.
,
413
, pp.
39
48
.
35.
Liao
,
S. J.
,
2003
,
Beyond Perturbation: Introduction to the Homotopy Analysis Method
,
Chapman & Hall/CRC Press
,
Boca Raton, FL
.
You do not currently have access to this content.