References
1. Choi, S.U.S. Enhancing thermal conductivity of
uids
with nanoparticle", ASME Int. Mech. Eng. Cong.
Exp., 66, pp. 99{105 (1995).
2. Hu, Z., Lu, W., and Thouless, M.D. Slip and wear
at a corner with Coulomb friction and an interfacial
strength", Wear, 338, pp. 242{251 (2015) .
3. Hu, Z., Thouless, M.D., and Lu, W. E ects of gap size
and excitation frequency on the vibrational behavior
and wear rate of fuel rods", Nuclear. Eng. Design, 308,
pp. 261{268 (2016).
4. Imtiaz, M., Hayat, T., and Alsaedi, A. Flow of magneto
nano
uid by a radiative exponentially stretching
surface with dissipation e ect", Adv. Powder Technol.,
27, pp. 2214{2222 (2016).
5. Turkyilmazoglu, M. Exact analytical solutions for
heat and mass transfer of MHD slip
ow in nano
uids",
Chem. Eng. Sci., 84, pp. 182{187 (2012).
6. Zheng, L., Zhang, C., Zhang, X., et al. 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).
7. Sheikholeslami, M., Hayat, T., and Alsaedi, A. On
simulation of nano
uid radiation and natural convection
in an enclosure with elliptical cylinders", Int. J.
Heat Mass Transfer, 115, pp. 981{991 (2017).
8. Hsiao, K. Stagnation electrical MHD nano
uid mixed
convection with slip boundary on a stretching sheet",
Appl. Thermal Eng., 98, pp. 850{861 (2016).
9. Shehzad, S.A., Hussain, T., Hayat, T., et al. Boundary
layer
ow of third grade nano
uid with Newtonian
heating and viscous dissipation", J. Central South
Univ., 22, pp. 360{367 (2015).
10. Rahman, S.U., Ellahi, R., Nadeem, S., et al. SimultaI.
Ullah et al./Scientia Iranica, Transactions F: Nanotechnology 27 (2020) 3390{3398 3397
neous e ects of nanoparticles and slip on Je rey
uid
through tapered artery with mild stenosis", J. Mol.
Liq., 218, pp. 484{493 (2016).
11. Hayat, T., Ullah, I., Muhammad, T., et al. Threedimensional
ow of Powell-Eyring nano
uid with heat
and mass
ux boundary conditions", Chin. Phys. B,
25, p. 074701 (2016).
12. Sandeep, N. E ect of aligned magnetic eld on liquid
thin lm
ow of magnetic-nano
uids embedded with
graphene nanoparticles", Adv. Powder Techn., 28, pp.
865{875 (2017).
13. Hayat, T., Muhammad, K., Farooq, M., et al. Melting
heat transfer in stagnation point
ow of carbon
nanotubes towards variable thickness surface", AIP
Advances, 6, p. 015214 (2016).
14. Amala, S. and Mahanthesh, B. Hybrid nano
uid
ow
over a vertical rotating plate in the presence of Hall
current, nonlinear convection and heat absorption", J.
Nano
uids, 7, pp. 1138{1148 (2018).
15. Muhammad, T., Lu, D.C., Mahanthesh, B., et al.
Signi cance of Darcy-Forchheimer porous medium
in nano
uid through carbon nanotubes", Commun.
Theor. Phys., 70, p. 361 (2018).
16. Shruthy, M. and Mahanthesh, B. Rayleigh-Benard
convection in Casson and hybrid nano
uids: An analytical
investigation", J. Nano
uids, 8, pp. 222{229
(2019).
17. Ashlin, T.S. and Mahanthesh, B. Exact solution of
non-coaxial rotating and non-linear convective
ow
of Cu-Al2O3-H2O hybrid nano
uids over an in nite
vertical plate subjected to heat source and radiative
heat", J. Nano
uids, 8, pp. 781{794 (2019).
18. Hayat, T., Ullah, I., Alsaedi, A., et al. Threedimensional
mixed convection
ow of Sisko nanoliquid",
Int. J. Mech. Sci., 133, pp. 273{282 (2017).
19. Si, X., Li, H., Zheng, L., et al. A mixed convection
ow and heat transfer of pseudo-plastic power law
nano
uids past a stretching vertical plate", Int. J. Heat
Mass Transfer, 105, pp. 350{358 (2017).
20. Khan, W.A., Khan, Z.H., and Haq, R.U. Flow and
heat transfer of ferro
uids over a
at plate with
uniform heat
ux", Eur. Phys. J. Plus, 130, p. 86
(2015).
21. Wu, W., Wu, Z., Yu, T., et al. Recent progresses on
magnetic iron oxide nanoparticles: synthesis, surface
functional strategies and biomedical applications", Sci.
Technol. Adv. Mater, 16, p. 023501 (2015).
22. Gireesha, B.J., Gorla, R.S.R., and Mahanthesh,
B. E ect of suspended nanoparticles on threedimensional
MHD
ow, heat and mass transfer of
radiating Eyring-Powell
uid over a stretching sheet",
J. Nano
uids, 4, pp. 474{484 (2015).
23. Hayat, T., Ullah, I., Alsaedi, A., et al. MHD
ow of
Powell-Eyring nano
uid over a non-linear stretching
sheet with variable thickness", Results in Phys., 7, pp.
189{196 (2017).
24. Hayat, T., Saleem, A., Tanveer, A., et al. Numerical
study for MHD peristaltic
ow of Williamson nano
uid
in an endoscope with partial slip and wall properties",
Int. J. Heat Mass Transfer., 114, pp. 1181{1187
(2017).
25. Hayat, T., Ullah, I., Muhammad, T., et al. Magnetohydrodynamic
(MHD) three-dimensional
ow of
second grade nano
uid by a convectively heated exponentially
stretching surface", J. Mol. Liq., 220, pp.
1004{1012 (2016).
26. Napolitano, L.G. Microgravity
uid dynamics", In
2nd Levitch Conference, Washington (1978).
27. Napolitano, L.G. Marangoni boundary layers", In
Proc. 3rd European Symposium on Material Science
in Space, Grenoble, ESA SP-142 (1979).
28. Magyari, E. and Chamkha, A.J. Exact analytical solutions
for thermosolutal Marangoni convection in the
presence of heat and mass generation or consumption",
Heat Mass Transfer, 43, pp. 965{974 (2007).
29. Lin, L., Zheng, L., and Zhang, X. MHD Marangoni
boundary layer
ow and heat transfer of pseudo-plastic
nano
uids over a porous medium with a modi ed
model", Mech. Time-Depend. Mater., 19, pp. 519{536
(2015).
30. Hayat, T., Shaheen, U., Sha q, A., et al. Marangoni
mixed convection
ow with Joule heating and nonlinear
radiation", AIP Adv., 5, p. 077140 (2015).
31. Aly, E.H. and Ebaid, A. Exact analysis for the e ect
of heat transfer on MHD and radiation Marangoni
boundary layer nano
uid
ow past a surface embedded
in a porous medium", J. Mol. Liq., 215, pp. 625{639
(2016).
32. Ellahi, R., Zeeshan, A., and Hassan, M. Particle
shape e ects on Marangoni convection boundary layer
ow of a nano
uid", Int. J. Numer. Methods Heat
Fluid Flow, 26, pp. 2160{2174 (2016).
33. Xu, X. and Chen, S. Cattaneo-Christov heat
ux
model for heat transfer of Marangoni boundary layer
ow in a copper-water nano
uid", Heat Transfer-Asian
Res., 18, pp. 1{13 (2017).
34. Sheikholeslami, M. and Chamkha, A.J. In
uence of
Lorentz forces on nano
uid forced convection considering
Marangoni convection", J. Mol. Liq., 225, pp.
750{757 (2017).
35. Mahanthesh, B., Gireesha, B.J., Shashikumar, N.S., et
al. Marangoni convective MHD
ow of SWCNT and
MWCNT nanoliquids due to a disk with solar radiation
and irregular heat source", Physica E, 94, pp. 25{30
(2017).
36. Hayat, T., Ullah, I., Alsaedi, A., et al. Simultaneous
e ects of non-linear mixed convection and radiative
ow due to Riga-plate with double strati cation", J.
Heat Transfer (2018). Doi: 10.1115/1.4039994
3398 I. Ullah et al./Scientia Iranica, Transactions F: Nanotechnology 27 (2020) 3390{3398
37. Animasaun, I.L., Raju, C.S.K., and Sandeep, N. Unequal
di usivities case of homogeneous{heterogeneous
reactions within viscoelastic
uid
ow in the presence
of induced magnetic- eld and nonlinear thermal radiation",
Alex. Eng. J., 55, pp. 1595{1606 (2016).
38. Hayat, T., Haidera, F., Muhammad, T., et al. Darcy{
Forchheimer squeezed
ow of carbon nanotubes with
thermal radiation", J. Phys. Chem. Solids, 120, pp.
79{86 (2018).
39. Hayat, T., Ullah, I., Alsaedi, A., et al. Radiative
ow
of Carreau liquid in presence of Newtonian heating
and chemical reaction", Results Phys., 7, pp. 715{722
(2017).
40. Hayat, T., Ullah, I., Muhammad, T., et al. Radiative
three-dimensional
ow with Soret and Dufour e ects",
Int. J. Mech. Sci., 133, pp. 829{837 (2017).
41. Gireesha, B.J., Mahanthesh, B., and Prasannakumara,
B.C. Exploration of activation energy and
binary chemical reaction e ects on nano Casson
uid
ow with thermal and exponential space-based heat
source", Mult. Mod. Mat. Structures, 15, pp. 227{245
(2019).
42. Hayat, T., Ullah, I., Waqas, M., et al. Attributes of
activation energy and exponential based heat source
in
ow of Carreau
uid with cross-di usion e ects",
J. Non-Equilib. Thermodyn., 44, pp. 203{213 (2018).
Doi.10.1515/jnet-2018-0049
43. Hsiao, K.L. To promote radiation electrical MHD
activation energy thermal extrusion manufacturing
system eciency by using Carreau-nano
uid with parameters
control method", Energy, 130, pp. 486{499
(2017).
44. Hsiao, K.L. combined electrical MHD heat transfer
thermal extrusion system using Maxwell
uid with radiative
and viscous dissipation e ects", Appl. Therm.
Eng., 112, pp. 1281{1288 (2017).
DOI: 10.1016/j.applthermaleng.2016.08.208
45. Hsiao, K.L. Micropolar nano
uid
ow with MHD and
viscous dissipation e ects towards a stretching sheet
with multimedia feature", Int. J. Heat Mass Transfer,
112, pp. 983{990 (2017).
46. Hayat, T., Ullah, I., Waqas, M., et al. Flow of
chemically reactive magneto Cross nanoliquid with
temperature-dependent conductivity", Appl. Nanosci.,
8, pp. 1453{1460 (2018).
47. Hayat, T., Ullah, I., Waqas, et al. Simulation of
nano
uid thermal radiation in Marangoni convection
ow of non-Newtonian
uid: A revised model", Int.
J. Num. Meth. Heat Fluid Flow, 29, pp. 2840{2853
(2019).
)