Characteristics of Joule heating and viscous dissipation on three-dimensional flow of Oldroyd B nanofluid with thermal radiation

Maxwell, 1867, The dynamical theory of gases, Philos. Trans. R. Soc. London, 157, 49, 10.1098/rstl.1867.0004

Oldroyd, 1950, The formulation of rheological equations of state, Proc. Roy. Soc. London Ser., 200, 523, 10.1098/rspa.1950.0035

Rajagopal, 1995, Exact solutions for some simple flows of an Oldroyd-B fluid, Acta Mech., 113, 233, 10.1007/BF01212645

Bhatnagar, 1995, Flow of an Oldroyd-B fluid due to a stretching sheet in the presence of a free stream velocity, Int. J. Non-Linear Mech., 30, 391, 10.1016/0020-7462(94)00027-8

Fetecau, 2007, A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid, Appl. Math. Model., 31, 647, 10.1016/j.apm.2005.11.032

Hayat, 2013, Three dimensional flow of Oldroyd-B fluid over surface with convective boundary condition, Appl. Math. Mech., 34, 489, 10.1007/s10483-013-1685-9

Ramzan, 2015, Three dimensional flow of an Oldroyd-B fluid with Newtonian heating, Int. J. Numer. Methods Heat Fluid Flow, 25, 68, 10.1108/HFF-03-2014-0070

Hayat, 2015, Impact of magnetic field in three-dimensional flow of an Oldroyd-B nanofluid, J. Mol. Liq., 212, 272, 10.1016/j.molliq.2015.09.023

Shehzad, 2013, Three dimensional flow of an Oldroyd-B fluid with variable thermal conductivity and heat generation/Absorption, PLoS ONE, 8, e78240, 10.1371/journal.pone.0078240

Hossain, 1992, Viscous and Joule heating effects on MHD-free convection flow with variable plate temperature, Int. J. Heat Mass Transf., 35, 3485, 10.1016/0017-9310(92)90234-J

Abo-Eldahab, 2005, Viscous dissipation and Joules heating effects on MHD-free convection from a vertical plate with power-law variation in surface temperature in the presence of Hall and ion-slip currents, Appl. Math. Model., 29, 579, 10.1016/j.apm.2004.10.005

Hamid, 2013, Effects of radiation, Joule heating and viscous dissipation on MHD Marangoni convection over a flat surface with suction and injection, World Appl. Sci. J., 21, 933

Ramesh, 2015, Numerical study of the influence of heat source on stagnation point flow towards a stretching surface of a Jeffrey nanoliquid, J. Eng., 2015, 10

Mohammadein, 2001, Heat transfer in a micropolar fluid over a stretching sheet with viscous dissipation and internal heat generation, Int. J. Numer. Methods Heat Fluid Flow, 11, 50, 10.1108/09615530110364088

Chen, 2010, Combined effects of Joule heating and viscous dissipation on magnetohydrodynamic flow past a permeable, stretching surface with free convection and radiative heat transfer, J. Heat Transf., 132, 064503, 10.1115/1.4000946

Khan, 2016, Influence of viscous dissipation and Joule heating on MHD bio-convection flow over a porous wedge in the presence of nanoparticles and gyrotactic microorganisms, Springer Plus, 5, 2043, 10.1186/s40064-016-3718-8

Jaber, 2016, Joule heating and viscous dissipation on effects on MHD flow over a stretching porous sheet subjected to power law heat flux in presence of heat source, Open J. Fluid Dynam., 6, 156, 10.4236/ojfd.2016.63013

Hossain, 1996, Radiation effect on mixed convection along a vertical plate with uniform surface temperature, Heat Mass Transf., 31, 243, 10.1007/BF02328616

Elbashbeshy, 2000, Radiation effect on heat transfer over a stretching surface, Can. J. Phys., 78, 1107, 10.1139/p00-085

Cortell, 2011, Combined Effect of viscous dissipation and thermal radiation on fluid flows over a non-linearly stretched permeable wall, Meccanica, 47, 769, 10.1007/s11012-011-9488-z

Ramesh, 2013, Flow over a stretching sheet in a dusty fluid with radiation effect, ASME J. Heat Transf., 135, 102702, 10.1115/1.4024587

Ramesh, 2014, Stagnation point flow of a MHD dusty fluid towards a stretching sheet with radiation, Afrika Matematika, 25, 237, 10.1007/s13370-012-0114-6

Pantokratoras, 2012, Sakiadis flow with nonlinear Rosseland thermal radiation, Phys. Scr., 87, 015703, 10.1088/0031-8949/87/01/015703

Khan, 2016, Nonlinear radiation effects on MHD flow of nanofluid over a nonlinearly stretching/shrinking wedge, Neural Comput. Appl., 1

Farooq, 2016, A. Alsaedi and M. Imran Khan, MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects, J. Mol. Liq., 221, 1097, 10.1016/j.molliq.2016.06.077

Khan, 2014, Three-dimensional flow of an oldroyd-b nanofluid towards stretching surface with heat generation/absorption, PLoS ONE, 9, e105107, 10.1371/journal.pone.0105107

Ramzan, 2015, Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating, AIP Adv., 5, 057132, 10.1063/1.4921312

Shehzad, 2016, Magnetic field effect in three-dimensional flow of an Oldroyd-B nanofluid over a radiative surface, J. Magn. Magn. Mater., 399, 97, 10.1016/j.jmmm.2015.09.001

Uddin, 2016, Computational study of three-dimensional stagnation point nanofluid bioconvection flow on a moving surface with anisotropic slip and thermal jump effect, J. Heat Transf., 138, 104502, 10.1115/1.4033581

Jusoh, 2017, Flow and heat transfer of magnetohydrodynamic three-dimensional Maxwell nanofluid over a permeable stretching/shrinking surface with convective boundary conditions, Int. J. Mech. Sci., 124–125, 166, 10.1016/j.ijmecsci.2017.02.022

Ramesh, 2017, Three dimensional flow of Maxwell fluid with suspended nanoparticles past a bidirectional porous stretching surface with thermal radiation, Therm. Sci. Eng. Prog., 1, 6, 10.1016/j.tsep.2017.02.006

Wang, 1984, The three-dimensional flow due to a stretching sheet, Phys. Fluids, 27, 1915, 10.1063/1.864868

Hayat, 2013, Three-dimensional stretched flow of Jeffrey fluid with variable thermal conductivity and thermal radiation, Appl. Math. Mech. – Engl. Ed., 34, 823, 10.1007/s10483-013-1710-7