Unsteady flow of Maxwell fluid in the presence of nanoparticles toward a permeable shrinking surface with Navier slip

Choi, 1995, Enhancing thermal conductivity of fluid with nanoparticles, developments and applications of non-Newtonian flow, ASME FED, 231, 99 Choi, 2001, Anamalously thermal conductivity enhancement in nanotube suspensions, Appl Phys Lett, 79, 2252, 10.1063/1.1408272 Das, 2007 Hwang, 2007, Buoyancy-driven heat transfer of water based nanofluids in a rectangular cavity, Int J Heat Mass Trans, 50, 4003, 10.1016/j.ijheatmasstransfer.2007.01.037 Hayat, 2006, Series solution for the upper-convected Maxwell fluid over a porous stretching plate, Phys Lett A, 358, 396, 10.1016/j.physleta.2006.04.117 Hayat, 2009, MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface, Chaos Solit Fract, 39, 840, 10.1016/j.chaos.2007.01.067 Hayat, 2010, Influence of thermal radiation and joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis, Int J Heat Mass Trans, 53, 4780, 10.1016/j.ijheatmasstransfer.2010.06.014 Abel, 2012, The effects of MHD flow and heat transfer for the UCM fluid over a stretching surface in the presence of thermal radiation, Adv Math Phys, 21, 702681 Mukhopadhya, 2012, Heat transfer analysis of the unsteady flow of a Maxwell fluid over a stretching surface in the presence of a heat source/sink, Chin Phys Lett, 29, 054703, 10.1088/0256-307X/29/5/054703 Bhattacharyya, 2013, Heat transfer in the boundary layer flow of Maxwell fluid over a permeable shrinking sheet, Therm Ener Power Eng, 3, 72 Wang, 1990, Liquid film on an unsteady stretching sheet, Quart Appl Math, 48, 601, 10.1090/qam/1079908 Miklavcic, 2006, Viscous flow due to a shrinking sheet, Quart Appl Math, 64, 283, 10.1090/S0033-569X-06-01002-5 Wang, 2008, Stagnation flow towards a shrinking sheet, Int J Nonlinear Mech, 43, 377, 10.1016/j.ijnonlinmec.2007.12.021 Ishak, 2010, Stagnation-point flow over a shrinking sheet in a micropolar fluid, Chem Eng Commun, 197, 1417, 10.1080/00986441003626169 Bhattacharyya, 2011, Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet, Int J Heat Mass Trans, 54, 308, 10.1016/j.ijheatmasstransfer.2010.09.041 Bhattacharyya, 2011, Dual solutions in boundary layer stagnation-point flow and mass transfer with chemical reaction past a stretching/shrinking sheet, Int Commun Heat Mass Trans, 38, 917, 10.1016/j.icheatmasstransfer.2011.04.020 Van Gorder, 2012, Hydromagnetic stagnation-point flow of a viscous fluid over a stretching/shrinking sheet, Meccanica, 47, 31, 10.1007/s11012-010-9402-0 Lok, 2011, MHD stagnation-point flow towards a shrinking sheet, Int J Numer Methods Heat Fluid Flow, 21, 61, 10.1108/09615531111095076 Beavers, 1967, Boundary condition at naturally permeable wall, J Fluid Mech, 30, 197, 10.1017/S0022112067001375 Andersson, 2002, Slip flow past a stretching surface, Acta Mech, 158, 121, 10.1007/BF01463174 Wang, 2006, Stagnation slip flow and heat transfer on a moving plate, Chem Eng Sci, 61, 7668, 10.1016/j.ces.2006.09.003 Fang, 2009, Slip MHD viscous flow over a stretching sheet – an exact solution, Commun Nonlinear Sci Numer Simul, 14, 3731, 10.1016/j.cnsns.2009.02.012 Fang, 2010, Viscous flow over a shrinking sheet with a second order slip flow model, Commun Nonlinear Sci Numer Simul, 15, 1831, 10.1016/j.cnsns.2009.07.017 Aman, 2011, Mixed convection boundary layer flow near stagnation-point on vertical surface with slip, Appl Math Mech - Engl Ed, 32, 1599, 10.1007/s10483-011-1526-x Aman, 2013, Magnetohydrodynamic stagnation-point flow towards a stretching/shrinking sheet with slip effects, Int Commun Heat Mass Trans, 47, 68, 10.1016/j.icheatmasstransfer.2013.06.005 Buongiorno, 2006, Convective transport in nanofluids, ASME J Heat Trans, 128, 240, 10.1115/1.2150834 Kuznetsov, 2010, Natural convective boundary layer flow of a nonofluid past a vertical plate, Int J Ther Sci, 49, 243, 10.1016/j.ijthermalsci.2009.07.015 Khan, 2010, Boundary-layer flow of a nanofluid past a stretching sheet, Int J Heat Mass Trans, 53, 2477, 10.1016/j.ijheatmasstransfer.2010.01.032 Bachok, 2011, Stagnation-point flow over a stretching/shrinking sheet in a nanofluid, Nanoscale Res Lett, 6, 623, 10.1186/1556-276X-6-623 Makinde, 2011, Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, Int J Ther Sci, 50, 1326, 10.1016/j.ijthermalsci.2011.02.019 Bachok, 2012, Flow and heat transfer characteristics on a moving plate in a nanofluid, Int J Heat Mass Trans, 55, 642, 10.1016/j.ijheatmasstransfer.2011.10.047 Bachok, 2012, Unsteady boundary-layer flow and heat transfer of a nanofluid over a permeable stretching/shrinking sheet, Int J Heat Mass Trans, 55, 2101 Noghrehabadi, 2012, Effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature, Int J Ther Sci, 54, 253, 10.1016/j.ijthermalsci.2011.11.017 Bachok, 2012, The boundary layers of an unsteady stagnation-point flow in a nanofluid, Int J Heat Mass Trans, 55, 6499, 10.1016/j.ijheatmasstransfer.2012.06.050 Nadeem, 2012, Boundary layer flow of nanofluid over an exponentially stretching surface, Nanoscale Res Lett, 7, 94, 10.1186/1556-276X-7-94 Rohni, 2013, Flow and heat transfer over an unsteady shrinking sheet with suction in a nanofluid using Buongiorno’s model, Int Commun Heat Mass Trans, 43, 75, 10.1016/j.icheatmasstransfer.2013.02.001 Makinde, 2012, Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating, Appl Math Mech, 33, 1545, 10.1007/s10483-012-1642-8 Ibrahim, 2013, MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet, Int J Heat Mass Trans, 56, 1, 10.1016/j.ijheatmasstransfer.2012.08.034 Nandy, 2013, Effects of slip and heat generation/absorption on MHD stagnation flow of nanofluid past a stretching/shrinking surface with convective boundary conditions, Int J Heat Mass Trans, 64, 1091, 10.1016/j.ijheatmasstransfer.2013.05.040 Malvandi, 2014, Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet, Powder Technol, 253, 377, 10.1016/j.powtec.2013.11.049 Nadeem, 2014, Numerical study of MHD boundary layer flow of a Maxwell fluid past a stretching sheet in the presence of nanoparticles, J Taiwan Institut Chem Eng, 45, 121, 10.1016/j.jtice.2013.04.006 Weidman, 2006, The effect of transpiration on self-similar boundary layer flow over moving surfaces, Int J Eng Sci, 44, 730, 10.1016/j.ijengsci.2006.04.005 Mahapatra, 2012, Dual solutions for the magnetohydrodynamic stagnation-point flow of a power-law fluid over a shrinking sheet, ASME J Appl Mech, 79, 024503, 10.1115/1.4005584 Rosca, 2014, Flow and heat transfer of Powell-Eyring fluid over a shrinking surface in a parallel free stream, Int J Heat Mass Trans, 71, 321, 10.1016/j.ijheatmasstransfer.2013.12.020 Gladwell, 1980 Fang, 2009, Viscous flow over an unsteady shrinking sheet with mass transfer, Chin Phys Lett, 26, 014703, 10.1088/0256-307X/26/1/014703 Rahman, 2014, Boundary layer flow of a nanofluid past a permeable exponentially shrinking/stretching surface with second order slip using Buongiornos model, Int J Heat Mass Trans, 77, 1133, 10.1016/j.ijheatmasstransfer.2014.06.013