Radiation effects on MHD stagnation point flow of nano fluid towards a stretching surface with convective boundary condition

Abstract The aim of the present paper is to study the numerical solutions of the steady MHD two dimensional stagnation point flow of an incompressible nano fluid towards a stretching cylinder. The effects of radiation and convective boundary condition are also taken into account. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The resulting nonlinear momentum, energy and nano particle equations are simplified using similarity transformations. Numerical solutions have been obtained for the velocity, temperature and nanoparticle fraction profiles. The influence of physical parameters on the velocity, temperature, nanoparticle fraction, rates of heat transfer and nanoparticle fraction are shown graphically.

[1]  Abdul Aziz,et al.  MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition , 2010 .

[2]  Oluwole Daniel Makinde,et al.  Similarity solution of hydromagnetic heat and mass transfer over a vertical plate with a convective surface boundary condition , 2010 .

[3]  S. Taghavi,et al.  Stagnation-point flow of upper-convected Maxwell fluids , 2006 .

[4]  Wang Qiang,et al.  Coupled Heat Transfer Simulation of a High-pressure Turbine Nozzle Guide Vane , 2009 .

[5]  N. Galanis,et al.  Heat transfer enhancement by using nanofluids in forced convection flows , 2005 .

[6]  Ioan Pop,et al.  Free convection boundary layer flow past a horizontal flat plate embedded in porous medium filled by nanofluid containing gyrotactic microorganisms , 2012 .

[7]  M. G. Reddy.  Influence of Magnetohydrodynamic and Thermal Radiation Boundary Layer Flow of a Nanofluid Past a Stretching Sheet , 2014 .

[8]  T. Ray Mahapatra,et al.  Heat transfer in stagnation-point flow towards a stretching sheet , 2002 .

[9]  Jixue Liu,et al.  On Nonlinear Evolution of C-type Instability in Nonparallel Boundary Layers , 2007 .

[10]  G. Cossali,et al.  A novel analytical solution of the non-uniform convective boundary conditions problem for heat conduction in cylinders ☆ , 2012 .

[11]  Guo Shuang,et al.  Effects of Boundary Layer Suction on Aerodynamic Performance in a High-load Compressor Cascade , 2010 .

[12]  I. Pop,et al.  RADIATION EFFECTS ON THE FLOW NEAR THE STAGNATION POINT OF A STRETCHING SHEET , 2004 .

[13]  Al-Qasseem.  Stagnation Point Flow towards a Stretching Surface through a Porous Medium with Heat Generation , 2006 .

[14]  J. Buongiorno.  Convective Transport in Nanofluids , 2006 .

[15]  G. Nath,et al.  Steady mixed convection stagnation-point flow of upper convected Maxwell fluids with magnetic field , 2009 .

[16]  S. Kakaç,et al.  Review of convective heat transfer enhancement with nanofluids , 2009 .

[17]  Robert A. Van Gorder,et al.  Convective heat transfer in the flow of viscous Ag–water and Cu–water nanofluids over a stretching surface , 2011 .

[18]  Guo Xin,et al.  Nonlinear Stability of Supersonic Nonparallel Boundary Layer Flows , 2010 .

[19]  Oluwole Daniel Makinde,et al.  Buoyancy effects on {MHD} stagnation point flow and heat transfer of a nanofluid past a convectively , 2013 .

[20]  Abdul Aziz,et al.  Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition , 2011 .

[21]  Donald A. Nield,et al.  Natural convective boundary-layer flow of a nanofluid past a vertical plate , 2010 .

[22]  J. Meseguer,et al.  Thermal radiation heat transfer , 2012 .

[23]  Abdul Aziz,et al.  A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition , 2009 .

[24]  I. Pop,et al.  The boundary layers of an unsteady stagnation-point flow in a nanofluid , 2012 .

[25]  T. C. Chiam.  Stagnation-Point Flow Towards a Stretching Plate. , 1994 .