Boundary layer flow of nanofluid over an exponentially stretching surface

The steady boundary layer flow of nanofluid over an exponential stretching surface is investigated analytically. The transport equations include the effects of Brownian motion parameter and thermophoresis parameter. The highly nonlinear coupled partial differential equations are simplified with the help of suitable similarity transformations. The reduced equations are then solved analytically with the help of homotopy analysis method (HAM). The convergence of HAM solutions are obtained by plotting h-curve. The expressions for velocity, temperature and nanoparticle volume fraction are computed for some values of the parameters namely, suction injection parameter α, Lewis number Le, the Brownian motion parameter Nb and thermophoresis parameter Nt.

[1]  Tiegang Fang,et al.  Effects of thermal radiation on the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface , 2011, Numerical Algorithms.

[2]  S. Abbasbandy Homotopy analysis method for heat radiation equations , 2007 .

[3]  T. Hayat,et al.  Thermal Radiation Effects on the Flow by an Exponentially Stretching Surface: a Series Solution , 2010 .

[4]  Tasawar Hayat,et al.  Series solution for unsteady axisymmetric flow and heat transfer over a radially stretching sheet , 2008 .

[5]  R. Cortell Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet , 2006 .

[6]  Kuppalapalle Vajravelu,et al.  The effects of variable fluid properties and thermocapillarity on the flow of a thin film on an unsteady stretching sheet , 2007 .

[7]  Md. Sazzad Hossien Chowdhury,et al.  Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems , 2009 .

[8]  Stephen U. S. Choi Enhancing thermal conductivity of fluids with nano-particles , 1995 .

[9]  Ioan Pop,et al.  Boundary-layer flow of nanofluids over a moving surface in a flowing fluid , 2010 .

[10]  A. Bataineh,et al.  On a new reliable modification of homotopy analysis method , 2009 .

[11]  Sohail Nadeem,et al.  HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet , 2010 .

[12]  Mohd. Salmi Md. Noorani,et al.  Adaptation of homotopy analysis method for the numeric–analytic solution of Chen system , 2009 .

[13]  Eugen Magyari,et al.  Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface , 1999 .

[14]  Y. Xuan,et al.  Investigation on Convective Heat Transfer and Flow Features of Nanofluids , 2003 .

[15]  A. Bataineh,et al.  Solving systems of ODEs by homotopy analysis method , 2008 .

[16]  Sujit Kumar Khan,et al.  Viscoelastic boundary layer flow and heat transfer over an exponential stretching sheet , 2005 .

[17]  J. Nayfeh,et al.  Convective heat transfer at a stretching sheet , 1993 .

[18]  S. Etemad,et al.  Laminar heat transfer of non-Newtonian nanofluids in a circular tube , 2010 .

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

[20]  A. Bataineh,et al.  Modified homotopy analysis method for solving systems of second-order BVPs , 2009 .

[21]  S. Abbasbandy,et al.  Homotopy analysis method for quadratic Riccati differential equation , 2008 .

[22]  Liqiu Wang,et al.  Heat conduction in nanofluids: Structure-property correlation , 2011 .

[23]  M. Y. Malik,et al.  Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet , 2009 .

[24]  S Nadeem,et al.  MHD flow of a viscous fluid on a nonlinear porous shrinking sheet with homotopy analysis method , 2009 .

[25]  Nazar Roslinda,et al.  Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation , 2009 .

[26]  Kuppalapalle Vajravelu,et al.  Heat transfer in an electrically conducting fluid over a stretching surface , 1992 .

[27]  Sujit Kumar Khan,et al.  On heat and mass transfer in a viscoelastic boundary layer flow over an exponentially stretching sheet , 2006 .

[28]  S. Abbasbandy Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method , 2008 .

[29]  S. Abbasbandy,et al.  Series Solutions of Boundary Layer Flow of a Micropolar Fluid Near the Stagnation Point Towards a Shrinking Sheet , 2009 .

[30]  Zhong-bao Wang,et al.  System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces , 2009 .

[31]  Mohammad Mehdi Rashidi,et al.  Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method , 2009 .

[32]  M. Subhas Abel,et al.  Visco-elastic MHD flow, heat and mass transfer over a porous stretching sheet with dissipation of energy and stress work , 2003 .

[33]  Saeid Abbasbandy,et al.  Newton-homotopy analysis method for nonlinear equations , 2007, Appl. Math. Comput..

[34]  I. Liu,et al.  Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to a transverse magnetic field , 2004 .

[35]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[36]  N. Afzal,et al.  Heat transfer from a stretching surface , 1993 .

[37]  A. H. Nikseresht,et al.  Investigation of the different base fluid effects on the nanofluids heat transfer and pressure drop , 2011 .

[38]  K. Khanafer,et al.  BUOYANCY-DRIVEN HEAT TRANSFER ENHANCEMENT IN A TWO-DIMENSIONAL ENCLOSURE UTILIZING NANOFLUIDS , 2003 .

[39]  B. C. Sakiadis Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow , 1961 .

[40]  S. Abbasbandy THE APPLICATION OF HOMOTOPY ANALYSIS METHOD TO NONLINEAR EQUATIONS ARISING IN HEAT TRANSFER , 2006 .

[41]  S. Abbasbandy Soliton solutions for the Fitzhugh–Nagumo equation with the homotopy analysis method , 2008 .