References
1. Choi, S.U.S. \Enhancing thermal conductivity of
uids
with nanoparticles", ASME, USA, pp. 99-105, FED
231/MD (1995).
2. Dinarvand, S., Abbassi, A., Hosseini, R., and Pop,
I. \Homotopy analysis method for mixed convective
boundary layer
ow of a nano
uid over a vertical
circular cylinder", Thermal Science, 19, pp. 549-561
(2015).
3. Oztop, H.F. and Abu-Nada, E. \Numerical study
of natural convection in partially heated rectangular
enclosures lled with nano
uids", Int. J. Heat Fluid
Flow, 29, pp. 1326-1336 (2008).
4. Hayat, T., Ijaz Khan, M., Farooq, M., Alsaedi, A., and
Imran Khan, M. \Thermally strati ed stretching
ow
with Cattaneo-Christov heat
ux", Int. J. Heat and
Mass Transfer, 106, pp. 289-294 (2017).
5. Hayat, T., Ijaz Khan, M., Farooq, M., Yasmeen T., and
Alsaedi, A. \Water-carbon nano
uid
ow with variable
heat
ux by a thin needle", J. Molecular Liquids, 224,
pp. 786-791 (2016).
6. Hayat, T., Tamoor, M., Khan, M.I., and Alsaedi, A.
\Numerical simulation for nonlinear radiative
ow by
convective cylinder", Results in Physics, 6, pp. 1031-
1035 (2016).
7. Hayat, T., Khan, M.I., Waqas, M., and Alsaedi,
A \Newtonian heating e ect in nano
uid
ow by a
permeable cylinder", Results in Physics, 7, pp. 256-
262 (2017).
8. Hayat, T., Waqas, M., Ijaz Khan, M., and Alsaedi,
A. \Analysis of thixotropic nanomaterial in a doubly
strati ed medium considering magnetic eld e ects",
Int. J. Heat and Mass Transfer, 102, pp. 1123-1129
(2016).
9. Hayat, T., Khan, M.I., Waqas, M., Yasmeen, T.,
and Alsaedi, A. \Viscous dissipation e ect in
ow
of magneto nano
uid with variable properties", J.
Molecular Liquids, 222, pp. 47-54 (2016).
10. Alsaedi, A., Ijaz Khan, M., Farooq, M., Gull, N., and
Hayat, T. \Magnetohydrodynamic (MHD) strati ed
bioconvective
ow of nano
uid due to gyrotactic microorganisms",
Advanced Powder Technology, 28, pp.
288-298 (2017).
11. Hashim and Khan, M. \A revised model to analyze
the heat and mass transfer mechanisms in the
ow of
Carreau nano
uids", Int. J. Heat Mass Transf., 103,
pp. 291-297 (2016).
12. Hayat, T., Qayyum, S., Waqas, M., and Alsaedi,
A. \Thermally radiative stagnation point
ow of
Maxwell nano
uid due to unsteady convectively heated
stretched surface", .J Mol. Liq., 224, pp. 801-810
(2016).
13. Malik, M.Y., Imad Khan, Hussain, A. and Salahuddin,
T. \Mixed convection
ow of MHD Eyring-
Powell nano
uid over a stretching sheet: A numerical
study", AIP Advances, 5, 117118 (2016).
DOI:10.1063/1.4935639.
14. Hussain, A., Malik, M.Y., Salahuddin, T., Bilal, S.,
and Awais, M. \Combined e ects of viscous dissipation
and Joule heating on MHD Sisko nano
uid
ow over
stretching cylinder", Journal of Molecular Liquids,
231, pp. 341-352 (2017).
15. Prasad, K.V., Vajravelu, K., Vaidya, H., and Santhi,
S.R. \Axisymmetric
ow of a nano
uid past a vertical
slender cylinder in the presence of a transverse magnetic
eld", J. Nano
uids, 5, pp. 101-109 (2016).
16. Prasad, K.V., Vajravelu, K., Vaidya, H., and Datti,
P.S. \Axisymmetric
ow over a vertical slender cylinder
in the presence of chemically reactive species",
J. Appl. Comput. Math. (2015). DOI: 10.1007/s40819-
015-0121-z
17. Prasad, K.V., Vajravelu, K., and Vaidya, H. \MHD
Casson nano
uid
ow and heat transfer at a stretching
sheet with variable thickness", J. Nano
uids, 5, pp.
423-435 (2016).
C.S. Sravanthi/Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 2098{2110 2109
18. Prasad, K.V., Vaidya, H., Vajravelu, K., Datti, V., and
Umesh, V. \Axisymmetric mixed convective MHD
ow
over a slender cylinder in the presence of chemically
reaction", Int. J. App. Mech. and Eng., 21, pp. 121-
141 (2016).
19. Pal, D., Mandal, G., and Vajravelu, K. \MHD
convection-dissipation heat transfer over a non-linear
stretching and shrinking sheets in nano
uids with
thermal radiation", Int. J. Heat Mass Transf., 65, pp.
481-490 (2013).
20. Zheng, L., Zhang, C., Zhang, X., and Zhang, J.
\Flow and radiation heat transfer of a nano
uid over
a stretching sheet with velocity slip and temperature
jump in porous medium", J. Franklin Inst., 350, pp.
990-1007 (2013).
21. Lin, Y., Zheng, L., and Zhang, X. \Radiation e ects
on Marangoni convection
ow and heat transfer in
pseudo-plastic non-Newtonian nano
uids with variable
thermal conductivity", Int. J. Heat Mass Transf., 77,
pp. 708-716 (2014).
22. Zhang, C., Zheng, L., Zhang, X., and Chen, G. \MHD
ow and radiation heat transfer of nano
uids in porous
media with variable surface heat
ux and chemical
reaction", Appl. Math. Model., 39, pp. 165-181 (2015).
23. Magyari, E. and Pantokratoras, A. \Note on the
e ect of thermal radiation in the linearized Rosseland
approximation on the heat transfer characteristics of
various boundary layer
ows", Int. Comm. in Heat and
Mass Transfer, 38, pp. 554-556 (2011).
24. Khan, M., Malik, R., and Hussain, M. \Nonlinear
radiative heat transfer to stagnation-point
ow of Sisko
uid past a stretching cylinder", AIP Advances, 6,
055315 (2016). DOI: 10.1063/1.4950946.
25. Hayat, T., Ijaz Khan, M., Waqas, M., Alsaedi, A.,
and Farooq, M. \Numerical simulation for melting
heat transfer and radiation e ects in stagnation point
ow of carbon-water nano
uid", Computer Methods in
Applied Mechanics and Engineering, 315, pp. 1011-
1024 (2017).
26. Hayat, T., Ijaz Khan, M., Farooq, M., Alsaedi, A.,
and Yasmeen, T. \Impact of Marangoni convection
in the
ow of carbon-water nano
uid with thermal
radiation", Int. J. of Heat and Mass Transfer, 106,
pp. 810-815 (2017).
27. Yasmeen, T., Hayat, T., Ijaz Khan, M., Imtiaz, M.,
and Alsaedi, A. \Ferro
uid
ow by a stretched surface
in the presence of magnetic dipole and homogeneousheterogeneous
reactions", Journal of Molecular Liquids,
223, pp. 1000-1005 (2016).
28. Hayat, T., Ijaz Khan, M., Imtiaz, M., and Alsaedi, A.
\Similarity transformation approach for ferromagnetic
mixed convection
ow in the presence of chemically
reactive magnetic dipole", AIP Physics of Fluids, 28
(2016). DOI: 10.1063/1.4964684.
29. Farooq, M., Ijaz Khan, M., Waqas, M., Hayat, T., and
Alsaedi, A. \MHD stagnation point
ow of viscoelastic
nano
uid with non-linear radiation e ects", J. Molecular
Liquids, 221, pp. 1097-1103 (2016).
30. Khan, M.I., Kiyani, M.Z., Malik, M.Y., Yasmeen,
T., Khan, M.W.A., and Abbas, T. \Numerical investigation
of magnetohydrodynamic stagnation point
ow with variable properties", Alexandria Engineering
Journal, 55, pp. 2367-2373 (2016).
31. Khan, M., Ali, H., and Hussain, M. \Magnetohydrodynamic
ow of Carreau
uid over a convectively heated
surface in the presence of non-linear radiation", J.
Mag. Mag. Mat., 412, pp. 63-68 (2016).
32. Hayat, T., Qayyum, S., Alsaedi, A., and Waqas,
M. \Simultaneous in
uences of mixed convection and
nonlinear thermal radiation in stagnation point
ow
of Oldroyd-B
uid towards an unsteady convectively
heated stretched surface", J. Mol. Liq., 224, pp. 811-
817 (2016).
33. Mustafa, M., Mushtaq, A., Hayat, T., and Ahmad,
B. \Nonlinear radiation heat transfer e ects in the
natural convective boundary layer
ow of nano
uid
past a vertical plate: A numerical study", PLOS ONE,
9(9): e103946 (2014).
https://doi.org/10.1371/journal.pone.0103946
34. Hayat, T., Qayyum, S., Alsaedi, A., and Asghar,
S. \Radiation e ects on the mixed convection
ow
induced by an inclined stretching cylinder with
non-uniform heat source/sink", PLOS ONE, 12(4):
e0175584 (2017).
https://doi.org/10.1371/journal.pone.0175584
35. Manjunatha, P.T., Gireesha, B.J., and Prasanna Kumar,
B.C. \Thermal analysis of conducting dusty
uid
ow in a porous medium over a stretching cylinder
in the presence of non-uniform source/sink", Int. J.
Mech. Mat. Eng. (2014). DOI: 10.1186/s40712-014-
0013-8
36. Subhas Abela, M., Jagadish, T., and Mahantesh
Nandeppanavar, M. \E ect of non-uniform heat source
on MHD heat transfer in a liquid lm over an unsteady
stretching sheet", Int. J. Non-Linear Mechanics, 44,
pp. 990-998 (2009).
37. Muthtamilselvan, M., Prakash, D., and Doh, D.H. \Effect
of non-uniform heat generation on unsteady MHD
non-Darcian
ow over a vertical stretching surface with
variable properties", J. Applied Fluid Mechanics, 7,
pp. 425-434 (2014).
38. Hayat, T., Farooq, M., and Alsaedi, A. \Stagnation
point
ow of carbon nanotubes over stretching cylinder
with slip conditions", Open Phys., 13, pp. 188-197
(2015).
39. Hayat, T., Qayyum, A., and Alsaedi, A. \E ects
of heat and mass transfer in
ow along a vertical
stretching cylinder with slip conditions", Eur. Phys. J.
Plus, 129(63) (2014). DOI:10.1140/epjp/i2014-14063-
9.
40. Mukhopadhyay, S. \Chemically reactive solute transfer
in a boundary layer slip
ow along a stretching cylinder",
Front Chem. Sci. Eng., 5, pp. 385-391(2011).
41. Sravanthi, C.S. \Homotopy analysis solution of MHD
slip
ow past an exponentially stretching inclined sheet
2110 C.S. Sravanthi/Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 2098{2110
with Soret-Dofour e ects", J. the Nigerian Mathematical
Society, 35, pp. 208-226 (2016).
42. Masood Khan and Ali, H. \E ects of multiple slip
on
ow of magneto-carreau
uid along wedge with
chemically reactive species", Neural Comput Applic,
(2016). DOI: 10.1007/s00521-016-2825-2016
43. Salahuddin, T., Malik, M.Y., Arif Hussain, Awais,
M., and Bilal, S. \Mixed convection boundary layer
ow of Williamson
uid with slip conditions over a
stretching cylinder by using Keller box method", Int.
J. Nonlinear Sciences and Numerical Simulation, 18,
pp. 9-17 (2017).
44. Bilal, S., Khalil Ur Rehman, Hamayun Jamil, Malik,
M.Y. and Salahuddin, T. \Dissipative slip
ow along
heat and mass transfer over a vertically rotating
cone by way of chemical reaction with Dufour and
Soret e ects", AIP Advances, 6, 125125 (2016). DOI:
http://dx.doi.org/10.1063/1.4973307.
45. Liao, S.J., Beyond Perturbation: Introduction to Homotopy
Analysis Method, Boca Raton: Chapman &
Hall/CRC Press (2003).
46. Liao, S.J., Homotopy Analysis Method in Nonlinear
Di erential Equations, Beijing and Heidelberg: Higher
Education Press & Springer (2012).
47. Hayat, T., Khan, M.I., Waqas, M., Alsaedi, A.,
and Yasmeen, T. \Di usion of chemically reactive
species in third grade
uid
ow over an exponentially
stretching sheet considering magnetic eld e ects",
Chinese Journal of Chemical Engineering, 25, pp. 257-
263 (2017).
48. Hayat, T., Khan, M.I., Alsaedi, A., and Khan, M.I.
\Homogeneous-heterogeneous reactions and melting
heat transfer e ects in the MHD
ow by a stretching
surface with variable thickness", J. Mol. Liq., 223, pp.
960-968 (2016).
49. Hayat, T., Khan, M.I., Farooq, M., Gull, N., and
Alsaedi, A. \Unsteady three-dimensional mixed convection
ow with variable viscosity and thermal conductivity",
J. Mol. Liq., 223, pp. 297-310 (2016).
50. Hayat, T., Khan, M.I., Farooq, M., Alsaedi, A., and
Khan, M.I. \Thermally strati ed stretching
ow with
Cattaneo-Christov heat
ux", Int. J. Heat and Mass
Transfer, 106, pp. 289-294 (2017).
51. Rosseland, S., Astrophysik und Atomtheoretische
Grundlagen, Springer, Berlin, pp. 41-44 (1931).
52. Grubka, L.J. and Bobba, K.M. \Heat transfer characteristics
of a continuous stretching surface with
variable temperature", J. Heat Transfer, 107, pp. 248-
250 (1985).
53. Ali, F.M., Nazar, R., Ari n, N.M., and Pop, I. \E ect
of Hall current on MHD mixed convection boundary
layer
ow over a stretched vertical
at plate", Meccanica,
46, pp. 1103-1112 (2011).
54. Abel, M.S., Tawade, J.N., and Nandeppanavar, M.M.
\MHD
ow and heat transfer for the upper-convected
Maxwell
uid over a stretching sheet", Meccanica, 47,
pp. 385-393 (2012).
55. Yadav, R.S. and Sharma, P.R. \E ects of porous
medium on MHD
uid
ow along a stretching cylinder",
Annals of Pure and Applied Mathematics, 6, pp.
104-113 (2014).
)