Series analysis for the flow between two stretchable disks

Altan, 1983 Fisher, 1976 Tadmor, 1970 Sakiadis, 1961, Boundary layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow, AICHE J., 7, 26, 10.1002/aic.690070108 Sakiadis, 1961, Boundary layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface, AICHE J., 7, 221, 10.1002/aic.690070211 Wang, 1991, Exact solutions of the steady-state Navier-Stokes equations, Annu. Rev. Fluid Mech., 23, 159, 10.1146/annurev.fl.23.010191.001111 Crane, 1970, Flow past a stretching plate, J. Appl. Math. Phys., 21, 645, 10.1007/BF01587695 Kuiken, 1981, On boundary layers in fluid mechanics that decay algebraically along stretches of wall that are not vanishingly small, IMA J. Appl. Math., 27, 387, 10.1093/imamat/27.4.387 Banks, 1983, Similarity solutions of the boundary layer equations for a stretching wall, J. Mec. Theor. Appl., 2, 375 Gupta, 1977, Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng., 55, 744, 10.1002/cjce.5450550619 Wang, 1988, Stretching surface in a rotating fluid, J. Appl. Math. Phys. (ZAMP), 39, 177, 10.1007/BF00945764 Wang, 1984, The three dimensional flow due to a stretching flat surface, Phys. Fluids, 27, 1915, 10.1063/1.864868 Brady, 1981, Steady flow in a channel or tube with an accelerating surface velocity. An exact solution to the Navier-Stokes equations with reverse flow, J. Fluid Mech., 112, 127, 10.1017/S0022112081000323 Wang, 1988, Fluid flow due to a stretching cylinder, Phys. Fluids, 31, 466, 10.1063/1.866827 Watson, 1990, On transition to chaos in two-dimensional channel flow symmetrically driven by accelerating walls, J. Fluid. Mech., 212, 451, 10.1017/S0022112090002051 Watson, 1991, Laminar channel flow driven by accelerating walls, Eur. J. Appl. Math., 2, 359, 10.1017/S0956792500000607 Zaturska, 1995, Flow in a pipe driven by suction at an accelerating wall, Acta Mech., 110, 111, 10.1007/BF01215419 Durlofsky, 1984, The spatial stability of a class of similarity solutions, Phys. Fluids, 27, 1068, 10.1063/1.864736 Zaturska, 2003, New solutions for flow in a channel with porous walls and/or non-rigid walls, Fluid Dyn. Res., 33, 57, 10.1016/S0169-5983(03)00044-3 Rasmussen, 1970, Steady viscous flow between two porous disks, Z. Angew. Math. Phys., 21, 187, 10.1007/BF01590643 Turkyilmazoglu, 2012, MHD fluid flow and heat transfer due to a stretching rotating disk, Int. J. Therm. Sci., 51, 195, 10.1016/j.ijthermalsci.2011.08.016 Turkyilmazoglu, 2012, Three dimensional MHD stagnation flow due to a stretchable rotating disk, Int. J. Heat Mass Transfer, 55, 6959, 10.1016/j.ijheatmasstransfer.2012.05.089 Turkyilmazoglu, 2016, Flow and heat simultaneously induced by two stretchable rotating disks, Phys. Fluids, 28, 10.1063/1.4945651 Mustafa, 2015, On Bödewadt flow and heat transfer of nanofluids over a stretching stationary disk, J. Mol. Liquids, 211, 119, 10.1016/j.molliq.2015.06.065 Imtiaz, 2016, Convective flow of carbon nanotubes between rotating stretchable disks with thermal radiation effects, Int. J. Heat Mass Transfer, 101, 948, 10.1016/j.ijheatmasstransfer.2016.05.114 Hayat, 2016, Partial slip effect in flow of magnetite-Fe3O4 nanoparticles between rotating stretchable disks, J. Magn. Magn. Mater., 413, 39, 10.1016/j.jmmm.2016.04.025 Hayat, 2016, Effects of homogeneous–heterogeneous reactions in flow of magnetite-Fe3O4 nanoparticles by a rotating disk, J. Mol. Liquids, 216, 845, 10.1016/j.molliq.2016.01.089 Hayat, 2011, Unsteady stagnation point flow of viscous fluid caused by an impulsively rotating disk, J. Taiwan Inst. Chem. Eng., 42, 41, 10.1016/j.jtice.2010.04.006 Sheikholeslami, 2013, Heat transfer of Cu-water nanofluid flow between parallel plates, Powder Technol., 235, 873, 10.1016/j.powtec.2012.11.030 M. Sheikholeslami, H.R. Ashorynejad, D.D. Ganji, A. Kolahdooz, Investigation of rotating MHD Viscous Flow and Heat Transfer between Stretching and Porous Surfaces Using Analytical Method, Hindawi Publishing Corporation Math. Prob. Eng., 2011, 17 pages, http://dx.doi.org/10.1155/2011/258734. Sheikholeslami, 2012, Homotopy perturbation method for three-dimensional problem of condensation film on inclined rotating disk, Sci. Iran. B, 19, 437, 10.1016/j.scient.2012.03.006 Sheikholeslami, 2016, Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiorno model, J. Magn. Magn. Mater., 416, 164, 10.1016/j.jmmm.2016.05.026 Sheikholeslami, 2015, Nanofluid flow and heat transfer between parallel plates considering Brownian motion using DTM, Comput. Methods Appl. Mech. Eng., 283, 651, 10.1016/j.cma.2014.09.038 Sheikholeslami, 2014, Effects of heat transfer in flow of nanofluids over a permeable stretching wall in a porous medium, J. Comput. Theor. Nanosci., 1–11 Sheikholeslami, 2012, Analytical investigation of Jeffery-Hamel flow with high magnetic field and nano particle by Adomian decomposition method, Appl. Math. Mech.-Engl. Ed., 33, 1553, 10.1007/s10483-012-1531-7 Sheikholeslami, 2013, Investigation of squeezing unsteady nanofluid flow using ADM, Powder Technol., 239, 259, 10.1016/j.powtec.2013.02.006 Sheikholeslami, 2014, Magnetohydrodynamic flow in a permeable channel filled with nano fluid, Sci. Iran. B, 21, 203 Sheikholeslami, 2012, Investigation of the laminar viscous flow in a semi-porous channel in the presence of uniform magnetic field using optimal homotopy asymptotic method, Sains Malaysiana, 41, 1177 Van Dyke, 1974, Analysis and improvement of perturbation series, Q. J. Mech., 27, 423, 10.1093/qjmam/27.4.423 Awati, 2012, Computer extended series solution for the flows in a nonparallel channels, Adv. Appl. Sci. Res., 3, 2413 Bujurke, 2007, Computer extended series solution for flow in a narrow channel of varying gap, Appl. Math. Comput., 186, 54, 10.1016/j.amc.2006.07.082 Bujurke, 2005, Analysis of steady viscous flow in slender tubes, Z. Angew. Math. Phys., 56, 831, 10.1007/s00033-005-3085-8 Bujurke, 2010, Analysis of Laminar flow in a channel with one porous bounding wall, Int. J. Fluid Mech. Res. (IJFMR), 37, 1 Domb, 1957, On the susceptibility of a ferromagnetic above the curic point, Proc. Roy. Lond. Ser. A, 240, 214, 10.1098/rspa.1957.0078 S. J. Liao, The proposed homotopy analysis technique for the solution of nonlinear problems, Ph.D Thesis, Shanghai Jiao Tong University. (1992). Awati, 2016, Computer extended series and homotopy analysis method for the solution of MHD flow of viscous fluid between two parallel porous plates, Gulf J. Math., 4, 65, 10.56947/gjom.v4i3.75 Hayat, 2016, On Cattaneo-Christov heat flux in MHD flow of Oldroyd-B fluid with homogeneous–heterogeneous reactions, J. Magn. Mag. Mater., 401, 296, 10.1016/j.jmmm.2015.10.039 Abbasbandy, 2014, Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid, AMC, 242, 569 Shehzad, 2014, Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid: a model for solar energy, AMC, 248, 273 Hayat, 2016, Melting heat transfer in the MHD flow of Cu–water nanofluid with viscous dissipation and Joule heating, Adv. Powder Technol., 27, 1301, 10.1016/j.apt.2016.04.024 Hayat, 2016, Impact of Cattaneo-Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface, Int. J. Heat Mass Transfer, 99, 702, 10.1016/j.ijheatmasstransfer.2016.04.016 Hayat, 2016, Inclined magnetic field and heat source/sink aspects in flow of nanofluid with nonlinear thermal radiation, Int. J. Heat Mass Transfer, 103, 99, 10.1016/j.ijheatmasstransfer.2016.06.055 Hayat, 2016, Comparative study of silver and copper water nanofluids with mixed convection and nonlinear thermal radiation, Int. J. Heat Mass Transfer, 102, 723, 10.1016/j.ijheatmasstransfer.2016.06.059 Hayat, 2016, On magnetohydrodynamic three-dimensional flow of nanofluid over a convectively heated nonlinear stretching surface, Int. J. Heat Mass Transfer, 100, 566, 10.1016/j.ijheatmasstransfer.2016.04.113 Hayat, 2015, MHD 3D flow of nanofluid in presence of convective conditions, J. Mol. Liquids, 212, 203, 10.1016/j.molliq.2015.09.012 Imtiaz, 2016, Homogeneous-heterogeneous reactions in MHD flow due to an unsteady curved stretching surface, J. Mol. Liquids, 221, 245, 10.1016/j.molliq.2016.05.060 Hayat, 2016, On model of Burgers fluid subject to magneto nanoparticles and convective conditions, J. Mol. Liquids, 222, 181, 10.1016/j.molliq.2016.06.087 Farooq, 2016, MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects, J. Mol. Liquids, 221, 1097, 10.1016/j.molliq.2016.06.077 Hayat, 2016, Stagnation point flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions, J. Mol. Liquids, 220, 49, 10.1016/j.molliq.2016.04.032 White, 1991 Fang, 2008, Flow between two stretchable disks – an exact solution of the Navier-Stokes equations, Int. Commun. Heat Mass Transfer, 35, 892, 10.1016/j.icheatmasstransfer.2008.04.018 Riesz, 1957 Press, 1986 Liao, 2003 Liao, 2012 Turkyilmazoglu, 2016, An effective approach for evaluation of the optimal convergence control parameter in the homotopy analysis method, Filomat, 30, 1633, 10.2298/FIL1606633T Bender, 1987