Unsteady MHD flow and heat transfer over a shrinking sheet with ohmic heating
Tài liệu tham khảo
Crane, 1970, Flow past a stretching plate, J. Appl. Math. Phys. (ZAMP), 21, 645, 10.1007/BF01587695
Cortell, 2008, A numerical tackling on Sakiadis flow with thermal radiation, Chin. Phys. Lett., 25, 1340, 10.1088/0256-307X/25/4/048
Ishak, 2009, Radiation effects on the flow and heat transfer over a moving plate in a parallel stream, Chin. Phys. Lett., 26, 10.1088/0256-307X/26/3/034701
Harish Babu, 2016, Joule heating effects on MHD mixed convection of a Jeffrey fluid over a stretching sheet with power law heat flux: A numerical study, J. Magnet. Magnet. Mater., 412, 185, 10.1016/j.jmmm.2016.04.011
Maity, 2016, Unsteady three dimensional flow of Casson liquid film over a porous stretching sheet in the presence of uniform transverse magnetic field and suction/injection, J. Magnet. Magnet. Mater., 419, 292, 10.1016/j.jmmm.2016.06.004
Ahmadi, 2014, A comprehensive analysis of the flow and heat transfer for a nanofluid over an unsteady stretching flat plate, Powder Technol., 258, 125, 10.1016/j.powtec.2014.03.021
Rosali, 2015, J. Mol. Liquids, 211, 965, 10.1016/j.molliq.2015.08.026
Hiemenz, 1911, Die Grenzschicht an einem in den gleichformingen Flussigkeitsstrom eingetauchten graden Kreiszylinder, Dinglers Polytech. J., 326, 321
Homann, 1936, Der Einfluss grosser Zahigkeit bei der Stromung um den Zylinder und um den Kugel, Z. Angew. Math. Mech., 16, 153, 10.1002/zamm.19360160304
Howarth, 1951, The boundary layer in three dimentionless flow-Part II, The flow near a stagnation point, Philosoph. Mag. (Series 7), 42, 1433
Chiam, 1994, Stagnation-point flow towards a stretching plate, J. Phys. Soc. Jpn, 63, 2443, 10.1143/JPSJ.63.2443
Mahapatra, 2001, Magnetohydrodynamic stagnation point flow towards a stretching sheet, Acta Mechanica, 152, 191, 10.1007/BF01176953
Mahapatra, 2002, Heat transfer in stagnation point flow towards a stretching sheet, Heat Mass Transf., 38, 517, 10.1007/s002310100215
Nazar, 2004, Stagnation-point flow of a micropolar fluid towards a stretching sheet, Int. J. Non Linear Mech., 39, 1227, 10.1016/j.ijnonlinmec.2003.08.007
Reza, 2005, Steady two-dimensional oblique stagnation point flow towards a stretching surface, Fluid Dyn. Res., 37, 334, 10.1016/j.fluiddyn.2005.07.001
Lok, 2006, Non-orthogonal stagnation point flow towards a stretching sheet, Int. J. Non Linear Mech., 41, 622, 10.1016/j.ijnonlinmec.2006.03.002
Lok, 2009, Mixed convection flow of a micropoalr fluid near a non-orthogonal stagnation point on a stretching vertical sheet, Int. J. Numer. Meth. Heat Fluid Flow, 19, 459, 10.1108/09615530910938380
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
Ul Haq, 2015, Thermal radiation and slip effects on MHD stagnation point flow of nanofluid over a stretching sheet, Physica E, 65, 17, 10.1016/j.physe.2014.07.013
Rosali, 2014, The effect of unsteadiness on mixed convection boundary-layer stagnation point flow over a vertical flat surface embedded in a porous medium, Int. J. Heat Mass Transf., 77, 147, 10.1016/j.ijheatmasstransfer.2014.04.059
Mabood, 2015, MHD stagnation point flow and heat transfer impinging on stretching sheet with chemical reaction and transpiration, Chem. Eng. J., 273, 430, 10.1016/j.cej.2015.03.037
Hsiao, 2016, Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet, Appl. Ther. Eng., 98, 850, 10.1016/j.applthermaleng.2015.12.138
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, Efforts of suction/blowing on steady boundary layer stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation, Int. J. Heat Mass Transf., 54, 302, 10.1016/j.ijheatmasstransfer.2010.09.043
Bhattacharyya, 2011, Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet, Int. J. Heat Mass Transf., 54, 308, 10.1016/j.ijheatmasstransfer.2010.09.041
Lok, 2011, MHD stagnation-point flow towards a shrinking sheet, Int. J. Numer. Meth. Heat Fluid Flow, 21, 61, 10.1108/09615531111095076
Rosca, 2014, Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder: case of constant surface heat flux, Sains Malaysiana, 43, 1239
Chakrabarti, 1979, Hydromagnetic flow and heat transfer over a stretching sheet, Quart. Appl. Math., 37, 73, 10.1090/qam/99636
Ariel, 1994, Hiemenz flow in hydromagnetics, Acta Mechanica, 103, 31, 10.1007/BF01180216
Ishak, 2009, MHD stagnation point flow towards a stretching sheet, Physica A, 388, 3377, 10.1016/j.physa.2009.05.026
Grosan, 2009, Magnetohydrodynamic oblique stagnation point flow, Meccanica, 44, 565, 10.1007/s11012-009-9196-0
Andersson, 1992, MHD flow of a viscoelastic fluid past a stretching surface, Acta Mechanica, 95, 227, 10.1007/BF01170814
Khan, 2003, Visco-elastic MHD flow, heat and mass transfer over a porous stretching sheet with dissipation of energy and stress work, Heat Mass Transf., 40, 47, 10.1007/s00231-003-0428-x
Datti, 2004, MHD visco-elastic fluid flow over a non-isothermal stretching sheet, Int. J. Eng. Sci., 42, 935, 10.1016/j.ijengsci.2003.09.008
Fang, 2009, Slip MHD viscous flow over a stretching sheet – an exact solution, Commun. Nonlinear Sci. Numer. Simulat., 14, 3731, 10.1016/j.cnsns.2009.02.012
Hayat, 2009, MHD stagnation point flow of an upper-convected Maxwell fluid over a stretching surface, Chaos Solitons Fract., 39, 840, 10.1016/j.chaos.2007.01.067
Sajid, 2009, The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet, Chaos Solitons Fract., 39, 1317, 10.1016/j.chaos.2007.06.019
Liao, 2003
Hsiao, 2017, Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects, Appl. Ther. Eng., 112, 1281, 10.1016/j.applthermaleng.2016.08.208
Mansur, 2015, The magnetohydrodynamic stagnation point flow of a nanofluid over a stretching/shrinking sheet with suction, PLoS ONE, 10, 10.1371/journal.pone.0117733
Mahajan, 1989, Viscous dissipation effects in buoyancy induced flows, Int. J. Heat Mass Transf., 32, 1380, 10.1016/0017-9310(89)90038-0
Murty, 1995, Viscous dissipation effects on heat transfer in flow past a continuously moving porous plate, Proc. Math. Soc. Banaras Hindu Univ., 11, 53
Bhattacharyya, 2011, Dual solutions in unsteady stagnation-point flow over a shrinking sheet, Chin Phys. Lett., 28
Attia, 2014, Unsteady couette flow of a thermally conducting viscoelastic fluid under constant pressure gradient in a porous medium, Chin. J. Phys., 52, 1015
Munawar, 2012, Time-dependent flow and heat transfer over a stretching cylinder, Chin. J. Phys., 50, 828
Pop, 2011, Radiation effects on the MHD flow near the stagnation point of a stretching sheet: revisited, J. Appl. Math. Phys., 62, 953
Merkin, 1985, On dual solutions occurring in mixed convection in a porous medium, J. Eng. Math., 20, 171, 10.1007/BF00042775
Mahapatra, 2011, Stability analysis of dual solutions in stagnation-point flow and heat transfer over a power-law shrinking surface Int, J. Nonlinear Sci., 12, 86
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
Weidman, 2011, Flows induced by a plate moving normal to stagnation-point flow, Acta Mech, 219, 219, 10.1007/s00707-011-0458-2
Awaludin, 2016, Stability analysis of stagnation-point flow over a stretching/shrinking sheet, AIP Adv., 6, 10.1063/1.4947130
L.F. Shampine, M.W. Reichelt, J. Kierzenka, Solving boundary value problems for ordinary differential equations in Matlab with bvp4c (http://www.mathworks.com/_bvp_tutorial), 2010.
Rosca, 2012, Stagnation-point flow and mass transfer with chemical reaction past a permeable streching / shrinking sheet in a nanofluid, Sains Malaysiana, 41, 1271
Rosca, 2013, Flow and heat transfer over a vertical permeable stretching / shrinking sheet with a second order slip, Int. J. Heat Mass Trans., 60, 355, 10.1016/j.ijheatmasstransfer.2012.12.028