References

[1] Sakiadis BC. Boundary-layer behaviour on continuous solid surfaces: I. boundary-layer equations for two-dimensional and axisymmetric flow. Am Inst Chem Engs. 1961;7:26–28.10.1002/aic.690070108Search in Google Scholar

[2] Crane LJ. Flow past a stretching plate. Z Angew Math Phys. 1961;7:21–28.10.1007/BF01587695Search in Google Scholar

[3] Cortell R. MHD flow and mass transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet with chemically reactive species. Chem Eng Processs. 2007;46:721–728.10.1016/j.cep.2006.09.008Search in Google Scholar

[4] Fang T, Zhang J, Zhong Y. Boundary layer flow over a stretching sheet with variable thickness. Appl Math Comput. 2012;218:7241–7252.10.1016/j.amc.2011.12.094Search in Google Scholar

[5] Shehzad SA, Hayat T, Alsaedi A. Three-dimensional MHD flow of casson fluid in porous medium with heat generation. J Appl Fluid Mech. 2016;9(1):215–223.10.18869/acadpub.jafm.68.224.24042Search in Google Scholar

[6] Mabood F, Ibrahim SM, Rashidi MM, Shadloo MS, Lorenzini G. Non-uniform heat source/sink and soret effects on mhd non-darcian convective flow past a stretching sheet in a micropolar fluid with radiation. Int J Heat Mass Transfer. 2016;93:674–682.10.1016/j.ijheatmasstransfer.2015.10.014Search in Google Scholar

[7] Andersson HI, Aarseth JB, Dandapat BS. Heat transfer in a liquid film on an unsteady stretching surface. Int J Heat Mass Transfer. 2000;43:69–74.10.1016/S0017-9310(99)00123-4Search in Google Scholar

[8] Nazar R, Amin N, Filip D, Pop I. Unsteady boundary layer flow in a region of stagnation- point on a stretching sheet. Int J Eng Sci. 2004;42:1241–1253.10.1016/j.ijengsci.2003.12.002Search in Google Scholar

[9] Nandeppanavar MM, Vajravelu K, Abel MS, Ravi S, Jyoti S. Heat transfer in a liquid film over an unsteady stretching sheet. Int J Heat Mass Transfer. 2012;55:1316–1324.10.1016/j.ijheatmasstransfer.2011.09.007Search in Google Scholar

[10] Hua H, Xiaohong S. Unsteady MHD boundary layer flow and heat transfer over the stretching sheets submerged in a moving fluid with Ohmic heating and frictional heating. Open Phys. 2015;13(1). doi:10.1515/phys-2015-0026.Search in Google Scholar

[11] Mabood F, Abdel-Rahman RG, Lorenzini G. Numerical study of unsteady jeffery fluid flow with magnetic field effect and variable fluid properties. ASME 2016. doi:10.1115/1.4033013.Search in Google Scholar

[12] Choi SU. Enhancing thermal conductivity of fluids with nanoparticles. ASME. 1995 FED-V.231/MD-V.66;99–105.Search in Google Scholar

[13] Masuda H, Ebata A, Teramae K, Hishinuma N. Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles. Dispersion of Al₂O₃, SiO₂ and TiO₂ ultra-fine particles. Netsu Bussei.. 1993;7(4):227–233.10.2963/jjtp.7.227Search in Google Scholar

[14] Buongiorno J. Convective transport in nanofluids. J Heat Transfer. 2006;128(3):240–250.10.1115/1.2150834Search in Google Scholar

[15] Khan WA, Pop I. Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transfer. 2010;53(11-12):2477–2483.10.1016/j.ijheatmasstransfer.2010.01.032Search in Google Scholar

[16] Zaimi K, Ishak A, Pop I. Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid. Sci Rep. 2014;4:4404 Article number.10.1038/srep04404Search in Google Scholar

[17] Philip J, Shima PD. Thermal properties of nanofluids. Adv Colloid Interface Sci. 2012;183–184:30–45.10.1016/j.cis.2012.08.001Search in Google Scholar

[18] Raptis AA. Unsteady free convective flow through a porous medium. Int J Eng Sci. 1983;21(4):345–348.10.1016/0020-7225(83)90118-0Search in Google Scholar

[19] El-Aziz MA. Radiation effect on the flow and heat transfer over an unsteady stretching surface. Int Commun Heat Mass Transfer. 2009;36:521–524.10.1016/j.icheatmasstransfer.2009.01.016Search in Google Scholar

[20] Singh P, Jangid A, Tomer NS, Sinha D. Effects of thermal radiation and magnetic field on unsteady stretching permeable sheet in presence of free stream velocity. Int J Info Math Sci. 2010;6:3.Search in Google Scholar

[21] Turkyilmazoglu M, Pop I. Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect. Int J Heat Mass Transfer. 2013;59:167–171.10.1016/j.ijheatmasstransfer.2012.12.009Search in Google Scholar

[22] Rashidi MM, Hosseini A, Pop I, Kumar S, Freidoonimehr N. Comparative numerical study of single and two-phase models of nanofluid heat transfer in wavy channel. Appl Math Mech. 2014;35(7):831–848.10.1007/s10483-014-1839-9Search in Google Scholar

[23] Ahmad R, Khan WA. Unsteady heat and mass transfer magnetohydrodynamic (MHD) nanofluid flow over a stretching sheet with heat source–sink using quasi-linearization technique. Canadian J Phys. 2015;93(12):1477–1485.10.1139/cjp-2014-0080Search in Google Scholar

[24] Garoosi F, Leila Jahanshaloo L, Rashidi MM, Badakhsh A. Numerical simulation of natural convection of the nanofluid in heat exchangers using a Buongiorno model. Appl Math Comput. 2015;254:183–203.10.1016/j.amc.2014.12.116Search in Google Scholar

[25] Mabood F, Khan WA. Analytical study for unsteady nanofluid MHD Flow impinging on heated stretching sheet. J Molecular Liquids. 2016;219:216–223.10.1016/j.molliq.2016.02.071Search in Google Scholar

[26] Freidoonimehr N, Rashidi MM, Mahmud S. Unsteady MHD free convective flow past a permeable stretching vertical surface in a nanofluid. Int J Thermal Sci. 2015;87:136–145.10.1016/j.ijthermalsci.2014.08.009Search in Google Scholar

[27] Manjunatha PT, Gireesha BJ, Prasannakumara BC. Thermal analysis of conducting dusty fluid flow in a porous medium over a stretching cylinder in the presence of non-uniform source/sink. Int J Mech Mater Eng. 2014;9(1):1–10.10.1186/s40712-014-0013-8Search in Google Scholar

[28] Mishra SK, Rauta AK. Boundary layer flow & heat transfer of an unsteady dusty fluid over a stretching sheet. Int J Sci Eng Res. 2015;6(1):182–189.Search in Google Scholar

[29] Makinde OD, Chinyoka T. MHD transient flows and heat transfer of dusty fluid in a channel with variable physical properties and Navier slip condition. Comput Math Appl. 2010;60(3):660–669.10.1016/j.camwa.2010.05.014Search in Google Scholar

[30] Manjunatha S, Gireesha BJ, Bagewadi CS. Effect of thermal radiation on boundary layer flow and heat transfer of dusty fluid over an unsteady stretching sheet. Int J Eng Sci Technol. 2012;4(4):36–48.10.4314/ijest.v4i4.5Search in Google Scholar

[31] Krishnamurthy MR, Prasannakumara BC, Gireesha BJ, Gorla RS. Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluid-particle suspension. Cogent Math. 2015;2:1050973.10.1080/23311835.2015.1050973Search in Google Scholar

[32] Sandeep N, Sulochana C. Unsteady mhd flow of cu-water dusty nanofluid over a stretching surface. J Adv Phys. 2016;5(3):191–198 8.10.1166/jap.2016.1261Search in Google Scholar

[33] Aziz AA. Similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Commun Non-Linear Sci Numer Simul. 2009;14:1064–1068.10.1016/j.cnsns.2008.05.003Search in Google Scholar

[34] Makinde OD, Chinyoka T, Rundora L. Unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions. Comput Math Appl. 2011;62(9):3343–3352.10.1016/j.camwa.2011.08.049Search in Google Scholar

[35] Akbar NS, Nadeem S, Haq RU, Khan ZH. Radiation effects on MHD stagnation point flow of nano fluid towards a stretching surface with convective boundary condition. Chinese J Aeronaut. 2013;26(6):1389–1397.10.1016/j.cja.2013.10.008Search in Google Scholar

[36] Nandkeolyar R, Seth GS, Makinde OD, Sibanda P, Ansari MS. Unsteady hydromagnetic natural convection flow of a dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation. J Appl Mech. 2013;80(6):9 pages.10.1115/1.4023959Search in Google Scholar

[37] Sivaraj R, Rushi Kumar B. Chemically reacting dusty viscoelastic fluid flow in an irregular channel with convective boundary. Ain Shams Eng J. 2013;4(1):93–101.10.1016/j.asej.2012.06.005Search in Google Scholar

[38] Rashidi MM, Momoniat E, Ferdows M, Basinparsa A. Lie group solution for free convective flow of a nanofluid past a chemically reacting horizontal plate in a porous media. Math Problems Eng. 2014;239082:1–21.10.1155/2014/239082Search in Google Scholar

[39] Pantokratoras A, Fang T. Sakiadis flow with nonlinear Rosseland thermal radiation. Phys Scr. 2013;87 015703(5 pages).10.1088/0031-8949/87/01/015703Search in Google Scholar

[40] Cortell R. Fluid flow and radiative nonlinear heat transfer over a stretching sheet. J King Saud Univ. Sci. 2014;26:161–167.10.1016/j.jksus.2013.08.004Search in Google Scholar

[41] Mustafa M, Mushtaq A, Hayat T, Ahmad B. Nonlinear radiation heat transfer effects in the natural convective boundary layer flow of nanofluid past a vertical plate: A numerical study. Plos ONE. 2014;9(9):e103946. doi:10.1371/journal.pone.0103946.Search in Google Scholar

[42] Prasannakumara BC, Gireesha BJ, Gorla RS, Krishnamurthy MR. Effects of chemical reaction and nonlinear thermal radiation on Williamson nanofluid slip flow over a stretching sheet embedded in a porous medium. J. Aerosp. Eng. 2016;29(5):04016019.10.1061/(ASCE)AS.1943-5525.0000578Search in Google Scholar

[43] Schlichting H, Gersten H. Boundary-layer theory. New York: Springer, 2000.10.1007/978-3-642-85829-1Search in Google Scholar

[44] Rosseland S. Astrophysik und atom-theoretische Grundlagen. Berlin: Springer Verlag, 1931:41–44.10.1007/978-3-662-26679-3Search in Google Scholar

[45] Seigel S, Howell JR. Thermal radiation heat transfer, 2nd ed. New York: McGraw-Hill Inc., 1981.Search in Google Scholar

[46] Meade DB, Haran BS, White RE. The shooting technique for the solution of two-point boundary value problems. Maple Tech.. 1996;3:85–93.Search in Google Scholar

[47] Elbashbeshy EM, Emam TG, Abdelgaber KM. Effects of thermal radiationand magnetic field on unsteady mixed convection flow and heat transfer overan exponentially stretching surface with suction in the presence of internal heatgeneration/absorption. J. Egypt. Math. Soc. 2012;20:215–222.10.1016/j.joems.2012.08.016Search in Google Scholar