Hydromagnetic flow of water based nanofluids over a nonlinearly stretching sheet in the presence of velocity slip, temperature jump, magnetic field, nonlinear thermal radiation, thermophoresis and Brownian motion has been studied. The article focuses on Cu water nanofluid and Ag water nanofluid. The similarity transformation technique is adopted to reduce the governing nonlinear partial differential equations into nonlinear ordinary differential equations and then they are solved numerically utilizing the Nachistem – Swigert shooting method along with the fourth order Runge Kutta integration technique. The influence of physical parameters on the flow, temperature and nanoparticle volume fraction are presented through graphs. Also the values of the skin friction coefficient at the wall and nondimensional rate of heat transfer are given in a tabular form. A comparative study with previous published results is also made.
If the inline PDF is not rendering correctly, you can download the PDF file here.
 Chaim C.(1995): Hydromagnetic flow over a surface stretching with a power law velocity. – International Journal of Engineering Science vol.33 No.3 pp.429-435.
 Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surfaces: II boundary layer on a continuous flat surface. – AIChE J. vol.7 pp.221–225.
 Choi S. (1995): Enhancing thermal conductivity of fluids with nanoparticles. – In: Sidiner D.A. Wang H.P. (eds) Developments and applications of non-Newtonian flows. – ASMEFED 231/MD pp.99-105.
 Lee S. Choi S. Li S. and Eastman J.A. (1999): Measuring thermal conductivity of fluids containing oxide nanoparticles. – Journal of Heat Transfer vol.121 No.2 pp.280-289.
 Wang X. Xu. X. and Choi S. (1999): Thermal conductivity of nanoparticle-fluid mixture. – Journal of Thermophysics and Heat Transfer vol.13 pp.474–480.
 Xuan Y. and Li Q. (2000): Heat transfer enhancement of nanofluids. – International Journal of Heat and Fluid Flow vol.21 No.1 pp.58–64.
 Yu W. and Choi S.U.S. (2003): The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. – J. Nanopart. Res. vol.5 pp.167-171.
 Buongiorna J. (2006): Convective transport in nanofluids. – ASME Journal of Heat Transfer vol.128 No.3 pp.240-250.
 Das S.K. Choi S. Yu W. and Pradeep T. (2007): Conduction Heat Transfer in Nanofluids. – Science and Technology (Hoboken NJ: Wiley).
 Yuwen Zhang Ling Li Ma H.B. and Mo Yang (2009): Effect of Brownian and thermophoretic diffusions of nanoparticles on nonequilibrium heat conduction in a nanofluid layer with periodic heat flux. – Numerical Heat Transfer Part A 56 pp.325-341.
 Vajravelu K. Prasad K.V. Jinho Lee Changhoon Lee Pop I. Robert A. and Van Gorder (2011): Convective heat transfer in the flow of viscous Ag–water and Cu–water nanofluids over a stretching surface. – Int. J. Therm. Sci. vol.50 pp.843–851.
 Hamad M. and Ferdows M. (2012): Similarity solutions to viscous flow and heat transfer of nanofluid over nonlinearly stretching sheet. – Applied Mathematics & Mechanics vol.33 No.7 pp.923.
 Vikrant Khullar and Himanshu Tyagi (2012): Solar energy harvesting using nanofluids-based concentrating solar collector. – ASME Journal of Nanotechnology in Engineering and Medicine vol.3 No.3.
 Mukhopadhyay S. (2013): Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation. – Ain Shams Engineering Journal vol.4 pp.485-491.
 Sohail Nadeem Rizwan Ul Haq and Zafar Hayat Khan (2014): Heat transfer analysis of water-based nanofluid over an exponentially stretching sheet. – Alexandria Engineering Journal vol.53 pp.219-224.
 Md. Shakhaoath Khan Md. Mahmud Alam and Ferdows M. (2011): MHD radiative boundary layer nanofluid flow past a stretching sheet. – In: Proceedings of the International Conference on Mechanical Engineering and Renewable Energy(ICMERE2011) Chittagong Bangladesh pp.22-24.
 Mohammad Mehdi Keshtkar and Babak Amiri (2013): MHD Flow and heat transfer nanofluid over a permeable stretching sheet. – International Journal of Engineering and Innovative Technology (IJEIT) vol.3 No.3.
 Malvandi Hedayati F. and Ganji D.D. (2014): Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet. – Powder Technology vol.253 pp.377-384.
 Shateyi S. and Prakash J. (2014): A new numerical approach for MHD laminar boundary layer flow and heat transfer of nanofluids over a moving surface in the presence of thermal radiation. – Boundary Value Problems vol.2.
 Krishnamurthy M.R. Prasannakumara B.C. Gireesha B.J. and Gorla R.S.R. (2015): Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluid-particle suspension. – Applied and Interdisciplinary Mathematics vol.2 pp.1-18.
 Falana A. Ojewale O.A. Adeboje T.B. (2016): Effect of Brownian motion and thermophoresis on a nonlinearly stretching permeable sheet in a nanofluid. – Advances in Nanoparticles vol.5 pp.123-134.
 Nield D.A. and Kuznetsov A.V. (2014): Thermal instability in a porous medium layer Saturated by a nanofluid: A revised model. – Int. J. Heat Mass Transfer vol.68 pp.211-214.
 Rosseland S. (1936): Theoretical Astrophysics. – Oxford: Clarendon Press.
 Anjali Devi S.P. and Mekala S. (2015): Thermal radiation effects on hydromagnetic flow of nanofluid over a nonlinearly stretching sheet in the existence of variable heat generation and viscous dissipation. – Int. J. of Science and Research vol.4 No.3 pp.935-943.
 Cortell R. (2007): Viscous flow and heat transfer over a nonlinearly stretching sheet. – Applied Maths and Computation vol.184 pp.864-873.
 Ahmad S. Rohni A.M. and Pop I. (2011): Blasious and Sakiadis problems in nanofluids. – Acta Mechanica vol.218 pp.195-204.