[1]
G. B. Jeffery, The two-dimensional steady motion of a viscous fluid. Lond. Edinb. Dublin Philos, Mag. J. Sci. 29 (172) (1915) 455–465.
DOI: 10.1080/14786440408635327
Google Scholar
[2]
G. Hamel, Spiralförmige bewegungenzäher flüssigkeiten. Jahresbericht der deutschenmathematiker-vereinigung 25 (1917) 34-60.
Google Scholar
[3]
L. Rosenhead, The steady two-dimensional radial flow of viscous fluid between two inclined plane walls. Proc. R. Soc. Lond. A, 175 (963) (1940) 436-467.
DOI: 10.1098/rspa.1940.0068
Google Scholar
[4]
J. S. Roy, P. Nayak, Steady two dimensional incompressible laminar visco-elastic flow in a converging or diverging channel with suction and injection, Mech 43 (1982) 129–36.
DOI: 10.1007/bf01175821
Google Scholar
[5]
M. Sheikholeslami, D. D. Ganji, H. R. Ashorynejad, H. B. Rokni, Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method, App. Math.and Mechanics 33(1) (2012). 25-36.
DOI: 10.1007/s10483-012-1531-7
Google Scholar
[6]
S. S. Motsa, P. Sibanda, F. G. Awad, S. Shateyi, A new spectral-homotopy analysis method for the MHD Jeffery–Hamel problem, Computers & Fluids 39 (7) (2010) 1219-1225.
DOI: 10.1016/j.compfluid.2010.03.004
Google Scholar
[7]
S. M. Moghimi, D. D. Ganji, H. Bararnia, M. Hosseini, M. Jalaal, Homotopy perturbation method for nonlinear MHD Jeffery–Hamel problem, Computers & Mathematics with Applications 61 (8) (2011) 2213-2216.
DOI: 10.1016/j.camwa.2010.09.018
Google Scholar
[8]
A. Dib, A. Haiahem, B. Bou-Said, An analytical solution of the MHD Jeffery–Hamel flow by the modified Adomian decomposition method, Computers & Fluids 102 (2014) 111-115.
DOI: 10.1016/j.compfluid.2014.06.026
Google Scholar
[9]
M. M. Rashidi, N. V. Ganesh, A. A. Hakeem, B. Ganga, Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation. Journal of Molecular Liquids 198 (2014) 234-238.
DOI: 10.1016/j.molliq.2014.06.037
Google Scholar
[10]
M. H. Abolbashari, N. Freidoonimehr, F. Nazari, M. M. Rashidi, Entropy analysis for an unsteady MHD flow past a stretching permeable surface in nano-fluid, Powder Technology 267 (2014) 256-267.
DOI: 10.1016/j.powtec.2014.07.028
Google Scholar
[11]
A. S. Dogonchi, D. D. Ganji, Investigation of MHD nanofluid flow and heat transfer in a stretching/shrinking convergent/divergent channel considering thermal radiation, J. Molecular Liquids 220 (2016) 592-603.
DOI: 10.1016/j.molliq.2016.05.022
Google Scholar
[12]
L. J. Crane, Flow past a stretching plate, Zeitschriftfürangewandte Mathematik und Physik ZAMP, 21 (4) (1970) 645-647.
DOI: 10.1007/bf01587695
Google Scholar
[13]
M. Mustafa, J. A. Khan, T. Hayat & A. Alsaedi, On Bödewadt flow and heat transfer of nanofluids over a stretching stationary disk, Journal of Molecular Liquids 211 (2015) 119-125.
DOI: 10.1016/j.molliq.2015.06.065
Google Scholar
[14]
J. Reza, F. Mebarek-Oudina, O. D. Makinde, MHD Slip flow of Cu-Kerosene Nanofluid in a Channel with Stretching Walls using 3-stage Lobatto IIIA formula. Defect and Diffusion Forum 387 (2018) 51-62.
DOI: 10.4028/www.scientific.net/ddf.387.51
Google Scholar
[15]
J. Raza, F. Mebarek-Oudina, A. J. Chamkha, Magnetohydrodynamic flow of molybdenum disulfide nanofluid in a channel with shape effects, Multidiscipline Modeling in Materials and Structures (2019) http://dx.doi.org/10.1108/MMMS-07-2018-0133.
DOI: 10.1108/mmms-07-2018-0133
Google Scholar
[16]
P. Ram, K. Sharma, On the revolving ferrofluid flow due to a rotating disk. International Journal of Nonlinear Science 13 (3) (2012) 317-324.
Google Scholar
[17]
P. Ram, V. Kumar, Effect of temperature dependent viscosity on revolving axi-symmetric ferrofluid flow with heat transfer, Applied Mathematics and Mechanics, 33(11) (2012) 1441-1452.
DOI: 10.1007/s10483-012-1634-8
Google Scholar
[18]
P. Ram, V. Kumar, FHD flow with heat transfer over a stretchable rotating disk. Multidiscipline Modeling in Materials and Structures 9(4) (2013) 524-537.
DOI: 10.1108/mmms-03-2013-0013
Google Scholar
[19]
P. Ram, V. K. Joshi, K. Sharma, M. Walia , N. Yadav, Variable viscosity effects on time dependent magnetic nanofluid flow past a stretchable rotating plate, Open Physics 14 (1) (2016) 651-658.
DOI: 10.1515/phys-2016-0072
Google Scholar
[20]
M. Alkasassbeh, Z. Omar, F. Mebarek-Oudina, J. Raza, A. J. Chamkha, Heat transfer study of convective fin with temperature-dependent internal heat generation by hybrid block method, Heat Transfer-Asian Research 48(4) (2019) 1225-1244.
DOI: 10.1002/htj.21428
Google Scholar
[21]
J. M. Owen, R. H. Roger, Flow and heat transfer in rotating-disc systems. Vol. I-Rotor-stator systems, NASA STI/Recon Technical Report A, 90 (1989). [22].
Google Scholar
[22]
F. Mebarek-Oudina, Convective heat transfer of Titania nanofluids of different base fluids in cylindrical annulus with discrete heat source, Heat Transfer—Asian Research 48(1) (2019) 135-147.
DOI: 10.1002/htj.21375
Google Scholar
[23]
M. Sheikholeslami, S. Abelman, D. D. Ganji, Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation. International Journal of Heat and Mass Transfer 79 (2014) 212-222.
DOI: 10.1016/j.ijheatmasstransfer.2014.08.004
Google Scholar
[24]
P. Ram, V. K. Joshi, O. D. Makinde, Unsteady convective flow of hydrocarbon magnetite nano-suspension in the presence of stretching effects. Defect and Diffusion Forum 377 (2017) 155-165. [26-27].
DOI: 10.4028/www.scientific.net/ddf.377.155
Google Scholar
[25]
F. Mebarek-Oudina, R. Bessaïh, Magnetohydrodynamic stability of natural convection flows in czochralski crystal growth. World Journal of Engineering 4(4) (2007) 15-22.
Google Scholar
[26]
F. Mebarek-Oudina, R.Bessaïh, Numerical modeling of MHD stability in a cylindrical configuration. J. Franklin Institute 351(2) (2014) 667-681.
DOI: 10.1016/j.jfranklin.2012.11.004
Google Scholar
[27]
F. Mebarek-Oudina, O. D. Makinde, Numerical simulation of oscillatory MHD natural convection in cylindrical annulus prandtl number effect, Defect and Diffusion Forum 387 (2018) 417-427.
DOI: 10.4028/www.scientific.net/ddf.387.417
Google Scholar
[28]
F. Mebarek-Oudina, R. Bessaïh, Stabilité magnétohydrodynamique des écoulements de convection naturelle dans une configuration cylindrique de type Czochralski, Société Française de Thermique 1 (2007) 451–457.
Google Scholar
[29]
M. Hamid, M. Usman, T. Zubair, R. U. Haq, W. Wang, Shape effects of MoS2 nanoparticles on rotating flow of nanofluid along a stretching surface with variable thermal conductivity: A Galerkin approach, Int. J. Heat and Mass Transfer 124 (2018) 706-714.
DOI: 10.1016/j.ijheatmasstransfer.2018.03.108
Google Scholar
[30]
Md. S. Alam, M. A. H. Khan, O. D. Makinde, Magneto-nanofluid dynamics in convergent-divergent channel and its inherent irreversibility, Defect and Diffusion Forum 377 (2017) 95-110.
DOI: 10.4028/www.scientific.net/ddf.377.95
Google Scholar
[31]
O. D. Makinde, Effect of arbitrary magnetic Reynolds number on MHD flows in convergent-divergent channels. International Journal of Numerical Methods for Heat & Fluid Flow 18 (6) (2008) 697-707.
DOI: 10.1108/09615530810885524
Google Scholar
[32]
O. D. Makinde, G. Tay, Numerical computation of bifurcation for steady flow in a converging channel with accelerating surface, A. M. S. E., Modelling, Measurement & Control B, 68 (1) (1999) 1.33-1.43.
Google Scholar
[33]
O. D. Makinde, P. Y. Mhone, Hermite-Padé approximation approach to MHD Jeffery-Hamel flows. Applied Mathematics and Computation 181(2006) 966-972.
DOI: 10.1016/j.amc.2006.02.018
Google Scholar
[34]
O. D. Makinde, P. Y. Mhone, Temporal stability of small disturbances in MHD Jeffery-Hamel flows, Computers and Mathematics with Applications 53 (2007) 128–136.
DOI: 10.1016/j.camwa.2006.06.014
Google Scholar
[35]
N. T. M. Eldabe, G. Saddeck, A. F. El-Sayed, Heat transfer of MHD non-Newtonian Casson fluid flow between two rotating cylinders, Mechanics and Mechanical Eng. 5 (2) (2001) 237-251.
Google Scholar
[36]
M. M. Rashidi, N. V. Ganesh, A. A. Hakeem, B. Ganga, Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation. J. Molecular Liq. 198 (2014), 234-238.
DOI: 10.1016/j.molliq.2014.06.037
Google Scholar
[37]
M. Turkyilmazoglu, Extending the traditional Jeffery-Hamel flow to stretchable convergent/divergent channels. Computers & Fluids 100 (2014) 196-203.
DOI: 10.1016/j.compfluid.2014.05.016
Google Scholar
[38]
J. Raza, A. M. Rohni, Z. Omar, MHD flow and heat transfer of Cu–water nanofluid in a semi porous channel with stretching walls, International Journal of Heat and Mass Transfer 103 (2016) 336-340.
DOI: 10.1016/j.ijheatmasstransfer.2016.07.064
Google Scholar
[39]
J. Raza, A. M. Rohni, Z. Omar, Rheology of micropolar fluid in a channel with changing walls: investigation of multiple solutions. Journal of Molecular Liquids 223 (2016) 890-902.
DOI: 10.1016/j.molliq.2016.07.102
Google Scholar
[40]
J. Raza, A. M. Rohni, Z. Omar, Triple solutions of Casson fluid flow between slowly expanding and contracting walls, AIP Conference Proceedings, AIP Publishing 1905 (1) (2017) 030029.
DOI: 10.1063/1.5012175
Google Scholar
[41]
J. Raza, A. M. Rohni, Z. Omar, Multiple solutions of mixed convective MHD casson fluid flow in a channel, Journal of Applied Mathematics (2016). 48.
DOI: 10.1155/2016/7535793
Google Scholar
[42]
S. Shafie, A. Gul, I. Khan, Molybdenum disulfide nanoparticles suspended in water-based nanofluids with mixed convection and flow inside a channel filled with saturated porous medium. AIP Conference Proceedings, AIP Publishing 1775(1) (2016) 030042.
DOI: 10.1063/1.4965162
Google Scholar