MHD 3-dimensional nanofluid flow induced by a power-law stretching sheet with thermal radiation, heat and mass fluxes

[1] L. J. Crane, Flow past a stretching plate, Zeitschrift für Angewandte Mathematik und Physik ZAMP, 21(4) (1970) 645–647. CraneL. J. Flow past a stretching plate Zeitschrift für Angewandte Mathematik und Physik ZAMP 21 4 1970 645 647 10.1007/BF01587695 Search in Google Scholar

[2] P. S. Gupta and A. S. Gupta, Heat and mass transfer on a stretching sheet with suction or blowing, Can J Chem Eng, 55 (1977) 744–746. GuptaP. S. GuptaA. S. Heat and mass transfer on a stretching sheet with suction or blowing Can J Chem Eng 55 1977 744 746 10.1002/cjce.5450550619 Search in Google Scholar

[3] M.A. Hamad and I. Pop, Scaling transformations for boundary layer flow near the stagnation-point on a heated permeable stretching surface in a porous medium saturated with a nanofluid and heat generation/absorption effects, Trans Porous Medium, 87 (2010) 25–39. HamadM.A. PopI. Scaling transformations for boundary layer flow near the stagnation-point on a heated permeable stretching surface in a porous medium saturated with a nanofluid and heat generation/absorption effects Trans Porous Medium 87 2010 25 39 10.1007/s11242-010-9683-8 Search in Google Scholar

[4] M. Turkyilmazoglu, The analytical solution of mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface, Int J Mech Sci, 77 (2013) 263–268. TurkyilmazogluM. The analytical solution of mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface Int J Mech Sci 77 2013 263 268 10.1016/j.ijmecsci.2013.10.011 Search in Google Scholar

[5] D. Pal and G. Mandal, Mixed convection-radiation on stagnation-point flow of nanofluids over a stretching/shrinking sheet in a porous medium with heat generation and viscous dissipation, J Petrol Sci Eng, 126 (2015) 16–25. PalD. MandalG. Mixed convection-radiation on stagnation-point flow of nanofluids over a stretching/shrinking sheet in a porous medium with heat generation and viscous dissipation J Petrol Sci Eng 126 2015 16 25 10.1016/j.petrol.2014.12.006 Search in Google Scholar

[6] M. Waqas, M. Farooq, M.I. Khan, A. Alsaedi, T. Hayat, T. Yasmeen, Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition, Int J Heat Mass Transfer 102 (2016) 766–772. WaqasM. FarooqM. KhanM.I. AlsaediA. HayatT. YasmeenT. Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition Int J Heat Mass Transfer 102 2016 766 772 10.1016/j.ijheatmasstransfer.2016.05.142 Search in Google Scholar

[7] J. Buongiorno, Convective transport in nanofluids, ASME J Heat Transf, 128, (2006) 240–250. BuongiornoJ. Convective transport in nanofluids ASME J Heat Transf 128 2006 240 250 10.1115/1.2150834 Search in Google Scholar

[8] H. Masuda, A. Ebata, K. Teramae and N. Hishinuma, Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles (dispersion of c-Al₂O₃, SiO₂ and TiO₂ ultra-fine particles), NetsuBussei (in Japanese), 4 (1993) 227–233. MasudaH. EbataA. TeramaeK. HishinumaN. Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles (dispersion of c-Al₂O₃, SiO₂ and TiO₂ ultra-fine particles) NetsuBussei (in Japanese) 4 1993 227 233 10.2963/jjtp.7.227 Search in Google Scholar

[9] S.U.S. Choi and J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, ASME, FED 231/MD, 66, (1995), 99–105. ChoiS.U.S. EastmanJ.A. Enhancing thermal conductivity of fluids with nanoparticles The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, ASME, FED 231/MD 66 1995 99 105 Search in Google Scholar

[10] K. Das, Slip flow and convective heat transfer of nanofluids over a permeable stretching surface, Comput. Fluids, 64 (2012) 34–42. DasK. Slip flow and convective heat transfer of nanofluids over a permeable stretching surface Comput. Fluids 64 2012 34 42 10.1016/j.compfluid.2012.04.026 Search in Google Scholar

[11] P. Rana and R. Bhargava, Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study, Comm Nonlinear Sci Num Simul, 17 (2012) 212–226. RanaP. BhargavaR. Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study Comm Nonlinear Sci Num Simul 17 2012 212 226 10.1016/j.cnsns.2011.05.009 Search in Google Scholar

[12] S. Nadeem, C. Lee, Boundary layer flow of nanofluid over an exponentially stretching surface, Nanoscale Research Lett, 7(2012) 94. NadeemS. LeeC. Boundary layer flow of nanofluid over an exponentially stretching surface Nanoscale Research Lett 7 2012 94 10.1186/1556-276X-7-94330550222289390 Search in Google Scholar

[13] M. Mustafa, T. Hayat and S. Obaidat, Boundary layer flow of a nanofluid over an exponentially stretching sheet with convective boundary conditions, Int J Numer Meth Heat Fluid Flow 23 (2013) 945–959. MustafaM. HayatT. ObaidatS. Boundary layer flow of a nanofluid over an exponentially stretching sheet with convective boundary conditions Int J Numer Meth Heat Fluid Flow 23 2013 945 959 10.1108/HFF-09-2011-0179 Search in Google Scholar

[14] S. Nadeem, R. Ul Haq and Z. H. Khan, Numerical Solution of Non-Newtonian Nanofluid Flow over a Stretching Sheet, Appl Nanosci, 4 (2014), 625–631. NadeemS. Ul HaqR. KhanZ. H. Numerical Solution of Non-Newtonian Nanofluid Flow over a Stretching Sheet Appl Nanosci 4 2014 625 631 10.1007/s13204-013-0235-8 Search in Google Scholar

[15] T. Hayat, A. Kiran, M. Imtiaz, A. Alsaedi, Hydromagnetic mixed convection flow of copper and silver water nanofluids due to a curved stretching sheet, Results in Physics, 6 (2016) 904–910. HayatT. KiranA. ImtiazM. AlsaediA. Hydromagnetic mixed convection flow of copper and silver water nanofluids due to a curved stretching sheet Results in Physics 6 2016 904 910 10.1016/j.rinp.2016.10.023 Search in Google Scholar

[16] Md. S. Khan, Md. M. Alam and M. Ferdows, Effects of magnetic field on radiative flow of a nanofluid past a stretching sheet, Procedia Engng, 56 (2013) 316 – 322. KhanMd. S. AlamMd. M. FerdowsM. Effects of magnetic field on radiative flow of a nanofluid past a stretching sheet Procedia Engng 56 2013 316 322 10.1016/j.proeng.2013.03.125 Search in Google Scholar

[17] M. Sheikholeslami, M.G. Bandpy, R. Ellahi, M. Hassan and S. Soleimani, Effects of MHD on Cu—water nanofluid flow and heat transfer by means of CVFEM, J Magn Magn Mater, 349 (2014) 188–200. SheikholeslamiM. BandpyM.G. EllahiR. HassanM. SoleimaniS. Effects of MHD on Cu—water nanofluid flow and heat transfer by means of CVFEM J Magn Magn Mater 349 2014 188 200 10.1016/j.jmmm.2013.08.040 Search in Google Scholar

[18] M. Sheikholeslami, D. D. Ganji, M. M. Rashidi, Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiorno model, J Mag Mag Mater, 416 (2016) 164–173. SheikholeslamiM. GanjiD. D. RashidiM. M. Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiorno model J Mag Mag Mater 416 2016 164 173 10.1016/j.jmmm.2016.05.026 Search in Google Scholar

[19] Yuan Ma, R. Mohebbi, M. M. Rashidi, Z. Yang, MHD convective heat transfer of Ag-MgO/water hybrid nanofluid in a channel with active heaters and coolers, Int Journal of Heat and Mass Transfer, 137 (2019) 714–726. MaYuan MohebbiR. RashidiM. M. YangZ. MHD convective heat transfer of Ag-MgO/water hybrid nanofluid in a channel with active heaters and coolers Int Journal of Heat and Mass Transfer 137 2019 714 726 10.1016/j.ijheatmasstransfer.2019.03.169 Search in Google Scholar

[20] Yuan Ma, R. Mohebbi, M. M. Rashidi, O Manca, Z. Yang, Numerical investigation of MHD effects on nanofluid heat transferin a baffled U-shaped enclosure using lattice Boltzmann method, Journal of thermal analysis and Calorimetry, 135 (2019) 3197–3213. MaYuan MohebbiR. RashidiM. M. MancaO YangZ. Numerical investigation of MHD effects on nanofluid heat transferin a baffled U-shaped enclosure using lattice Boltzmann method Journal of thermal analysis and Calorimetry 135 2019 3197 3213 10.1007/s10973-018-7518-y Search in Google Scholar

[21] M. M. Bhatti, S. R. Mishra, T. Abbas, M. M. Rashidi, A mathematical model of MHD nanofluid flow having gyrotactic microorganisms with thermal radiation and chemical reaction effects, Neural Computing and Applications, 30(4) (2018) 1237–1249. BhattiM. M. MishraS. R. AbbasT. RashidiM. M. A mathematical model of MHD nanofluid flow having gyrotactic microorganisms with thermal radiation and chemical reaction effects Neural Computing and Applications 30 4 2018 1237 1249 10.1007/s00521-016-2768-8 Search in Google Scholar

[22] K. Das, P. R. Duari, P. K. Kundu, Nanofluid flow over an unsteady stretching surface in presence of thermal radiation, Alexandria Engng J, 53 (2014) 737–745. DasK. DuariP. R. KunduP. K. Nanofluid flow over an unsteady stretching surface in presence of thermal radiation Alexandria Engng J 53 2014 737 745 10.1016/j.aej.2014.05.002 Search in Google Scholar

[23] T. Hayat, M. Waqas, S. A. Shehzad, A. Alsaedi, A model of solar radiation and Joule heating in magnetohydrodynamic (MHD) convective flow of thixotropic nanofluid, J Mol Liq, 15 (2016) 704–710. HayatT. WaqasM. ShehzadS. A. AlsaediA. A model of solar radiation and Joule heating in magnetohydrodynamic (MHD) convective flow of thixotropic nanofluid J Mol Liq 15 2016 704 710 10.1016/j.molliq.2016.01.005 Search in Google Scholar

[24] T. Hayat, A. Shafiq, A. Alsaedi, Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation, Alexandria Engng J, 55 (2016) 2229–2240. HayatT. ShafiqA. AlsaediA. Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation Alexandria Engng J 55 2016 2229 2240 10.1016/j.aej.2016.06.004 Search in Google Scholar

[25] C.Y. Wang, The three-dimensional flow due to a stretching flat surface, Phys Fluids, 27 (8) (1984) 1915. WangC.Y. The three-dimensional flow due to a stretching flat surface Phys Fluids 27 8 1984 1915 10.1063/1.864868 Search in Google Scholar

[26] P.D. Ariel, The three-dimensional flow past a stretching sheet and the homotopy perturbation method, Comput Math Appl, 54 (7–8) (2007) 920–925. ArielP.D. The three-dimensional flow past a stretching sheet and the homotopy perturbation method Comput Math Appl 54 7–8 2007 920 925 10.1016/j.camwa.2006.12.066 Search in Google Scholar

[27] I.C. Liu and H. I. Andersson, Heat transfer over a bidirectional stretching sheet with variable thermal conditions, Int J Heat Mass Transf, 51 (2008) 4018–4024. LiuI.C. AnderssonH. I. Heat transfer over a bidirectional stretching sheet with variable thermal conditions Int J Heat Mass Transf 51 2008 4018 4024 10.1016/j.ijheatmasstransfer.2007.10.041 Search in Google Scholar

[28] K. Ahmad and R. Nazar, Magnetohydrodynamic three dimensional flow and heat transfer over a stretching surface in a viscoelastic fluid, J of science and technology, 3 (1) (2011). AhmadK. NazarR. Magnetohydrodynamic three dimensional flow and heat transfer over a stretching surface in a viscoelastic fluid J of science and technology 3 1 2011 Search in Google Scholar

[29] I.C. Liu, H.H. Wang and Y.F. Peng, Flow and heat transfer for three dimensional flow over an exponentially stretching surface, Chem Eng Comm, 200 (2013) 253–268. LiuI.C. WangH.H. PengY.F. Flow and heat transfer for three dimensional flow over an exponentially stretching surface Chem Eng Comm 200 2013 253 268 10.1080/00986445.2012.703148 Search in Google Scholar

[30] T. Hayat, S.A. Shehzad, A. Alsaedi and M.S. Alhothuali, Three dimensional of Oldroyd-B fluid over surface with convective boundary conditions, Appl Math Mech, 34 (4) (2013) 489–500. HayatT. ShehzadS.A. AlsaediA. AlhothualiM.S. Three dimensional of Oldroyd-B fluid over surface with convective boundary conditions Appl Math Mech 34 4 2013 489 500 10.1007/s10483-013-1685-9 Search in Google Scholar

[31] S. Nadeem, Rizwan Ul Haq, Noreen Sher Akbar, Z.H. Khan, MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet, Alexandria Engng J, 52 (2013) 577–582. NadeemS. Ul HaqRizwan AkbarNoreen Sher KhanZ.H. MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet Alexandria Engng J 52 2013 577 582 10.1016/j.aej.2013.08.005 Search in Google Scholar

[32] J. A. Khan, M. Mustafa, T. Hayat, A. Alsaedi, On Three-Dimensional Flow and Heat Transfer over a Non-Linearly Stretching Sheet: Analytical and Numerical Solutions, PLOS ONE, 9 (9) (September 2014), e107287. KhanJ. A. MustafaM. HayatT. AlsaediA. On Three-Dimensional Flow and Heat Transfer over a Non-Linearly Stretching Sheet: Analytical and Numerical Solutions PLOS ONE 9 9 September 2014 e107287 10.1371/journal.pone.0107287415786425198696 Search in Google Scholar

[33] J.A. Khan, M. Mustafa, T. Hayat and A. Alsaedi, Three dimensional flow of nanofluid over a nonlinearly stretching sheet: an application to solar energy, Int J Heat Mass Trans, 86 (2015) 158–164. KhanJ.A. MustafaM. HayatT. AlsaediA. Three dimensional flow of nanofluid over a nonlinearly stretching sheet: an application to solar energy Int J Heat Mass Trans 86 2015 158 164 10.1016/j.ijheatmasstransfer.2015.02.078 Search in Google Scholar

[34] J. A. Khan, M. Mustafa, T. Hayat, M. Sheikholeslami, A. Alsaedi, Three-Dimensional Flow of Nanofluid Induced by an Exponentially Stretching Sheet: An Application to Solar Energy, PLOS ONE, DOI:10.1371/journal.pone.0116603 March 18, 2015 KhanJ. A. MustafaM. HayatT. SheikholeslamiM. AlsaediA. Three-Dimensional Flow of Nanofluid Induced by an Exponentially Stretching Sheet: An Application to Solar Energy PLOS ONE 10.1371/journal.pone.0116603 March 18 2015 436498725785857 Open DOISearch in Google Scholar

[35] C.S.K. Raju, N. Sandeep, M. Jayachandra Babu and V. Sugunamma, Dual solutions for three-dimensional MHD flow of a nanofluid over a nonlinearly permeable stretching sheet, Alexandria Engng J, 55 (2016) 151–162. RajuC.S.K. SandeepN. Jayachandra BabuM. SugunammaV. Dual solutions for three-dimensional MHD flow of a nanofluid over a nonlinearly permeable stretching sheet Alexandria Engng J 55 2016 151 162 10.1016/j.aej.2015.12.017 Search in Google Scholar

[36] S. A. Shehzad, Z. Abdullah, A. Alsaedi, F. M. Abbasi, T. Hayat, Thermally radiative three-dimensional flow of Jeffrey nanofluid with internal heat generation and magnetic field, J Magnet Magn Mater, 397 (2016) 108–114. ShehzadS. A. AbdullahZ. AlsaediA. AbbasiF. M. HayatT. Thermally radiative three-dimensional flow of Jeffrey nanofluid with internal heat generation and magnetic field J Magnet Magn Mater 397 2016 108 114 10.1016/j.jmmm.2015.07.057 Search in Google Scholar

[37] T. Hayat, S. Qayyum, S. A. Shehzad, A. Alsaedi, Simultaneous effects of heat generation/absorption and thermal radiation in magnetohydrodynamics (MHD) flow of Maxwell nanofluid towards a stretched surface, Results Phys, 2017, http://dx.doi.org/10.1016/j.rinp.2016.12.009 HayatT. QayyumS. ShehzadS. A. AlsaediA. Simultaneous effects of heat generation/absorption and thermal radiation in magnetohydrodynamics (MHD) flow of Maxwell nanofluid towards a stretched surface Results Phys 2017 http://dx.doi.org/10.1016/j.rinp.2016.12.009 10.1016/j.rinp.2016.12.009 Search in Google Scholar

[38] S. Mansur, A. Ishak, The flow and heat transfer of a nanofluid past a stretching/shrinking sheet with convective boundary condition, Abstract Appl Anal, 350647 (2013). MansurS. IshakA. The flow and heat transfer of a nanofluid past a stretching/shrinking sheet with convective boundary condition Abstract Appl Anal 350647 2013 10.1155/2013/350647 Search in Google Scholar

[39] D.A. Nield, A.V. Kuznetsov, The one set of convection in a horizontal layer of finite depth, a revised model, Int J Heat Mass Transfer, 77 (2014) 915–918. NieldD.A. KuznetsovA.V. The one set of convection in a horizontal layer of finite depth, a revised model Int J Heat Mass Transfer 77 2014 915 918 10.1016/j.ijheatmasstransfer.2014.06.020 Search in Google Scholar

[40] A.V. Kuznetsov, D.A. Nield, Natural convective boundary layer flow of nanofluid past a vertical plate: a revised model, Int J Therm Sci, 77 (2014) 126–129. KuznetsovA.V. NieldD.A. Natural convective boundary layer flow of nanofluid past a vertical plate: a revised model Int J Therm Sci 77 2014 126 129 10.1016/j.ijthermalsci.2013.10.007 Search in Google Scholar

[41] M. Mustafa, J.A. Khan, T. Hayat, A. Alsaedi, Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet, Int J Non-Linear Mech, 71 (2015) 21–29. MustafaM. KhanJ.A. HayatT. AlsaediA. Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet Int J Non-Linear Mech 71 2015 21 29 10.1016/j.ijnonlinmec.2015.01.005 Search in Google Scholar

[42] B. Mahanthesh, B.J. Gireesha, R. S. R. Gorla, Nonlinear radiative heat transfer in MHD three-dimensional flow of water based nanofluid over a non-linearly stretching sheet with convective boundary condition, J Nigerian Math Soc, 35 (2016) 178–198. MahantheshB. GireeshaB.J. GorlaR. S. R. Nonlinear radiative heat transfer in MHD three-dimensional flow of water based nanofluid over a non-linearly stretching sheet with convective boundary condition J Nigerian Math Soc 35 2016 178 198 10.1016/j.jnnms.2016.02.003 Search in Google Scholar