The effect of thermal radiation on the flow of a second grade fluid

This paper reports the magnetohydrodynamic (MHD) flow and heat transfer characteristics of a second grade fluid in a channel. Analytic technique namely the homotopy analysis method (HAM) is used to solve the momentum and energy equations. The important findings in this paper are the effects of second grade parameter, Hartmann number, Reynolds number, thermal radiation parameter, Prandtl and local Eckert numbers on the velocity, temperature, skin friction coefficient and Nusselt number.

[1]  S. Abbasbandy,et al.  Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method , 2008 .

[2]  Tasawar Hayat,et al.  Transient flows of a second grade fluid , 2004 .

[3]  I. Pop,et al.  Three-dimensional flow over a stretching surface in a viscoelastic fluid , 2008 .

[4]  Wenchang Tan,et al.  Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary , 2005 .

[5]  S. Abbasbandy,et al.  Soliton solutions for the fifth-order KdV equation with the homotopy analysis method , 2007 .

[6]  Tasawar Hayat,et al.  Unsteady axisymmetric flow of a second-grade fluid over a radially stretching sheet , 2008, Comput. Math. Appl..

[7]  Kumbakonam R. Rajagopal,et al.  Anomalous features in the model of “second order fluids” , 1979 .

[8]  Tasawar Hayat,et al.  Unsteady flow of a second grade fluid between two side walls perpendicular to a plate , 2008 .

[9]  S. Liao A new branch of solutions of boundary-layer flows over an impermeable stretched plate , 2005 .

[10]  Kumbakonam R. Rajagopal,et al.  On the creeping flow of the second-order fluid , 1984 .

[11]  T. Hayat,et al.  The influence of thermal radiation on MHD flow of a second grade fluid , 2007 .

[12]  Tasawar Hayat,et al.  Heat and mass transfer analysis on the flow of a second grade fluid in the presence of chemical reaction , 2008 .

[13]  T. Hayat,et al.  Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet , 2007 .

[14]  T. Hayat,et al.  Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet , 2008 .

[15]  K. Rajagopal,et al.  On a class of exact solutions to the equations of motion of a second grade fluid , 1981 .

[16]  C. Fetecau,et al.  Starting solutions for some unsteady unidirectional flows of a second grade fluid , 2005 .

[17]  A. Raptis,et al.  Viscoelastic Flow by the Presence of Radiation , 1998 .

[18]  R. Mohapatra,et al.  Series solutions of nano boundary layer flows by means of the homotopy analysis method , 2008 .

[19]  S. Abbasbandy Homotopy analysis method for generalized Benjamin–Bona–lMahony equation , 2008 .

[20]  Tasawar Hayat,et al.  Hall effects on the unsteady hydromagnetic oscillatory flow of a second-grade fluid. , 2004 .

[21]  Shijun Liao,et al.  On the homotopy analysis method for nonlinear problems , 2004, Appl. Math. Comput..

[22]  T. Hayat,et al.  Heat transfer analysis on the MHD flow of a second grade fluid in a channel with porous medium , 2008 .

[23]  Shijun Liao,et al.  Dual solutions of boundary layer flow over an upstream moving plate , 2008 .

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

[25]  T. Hayat,et al.  Analytic solution for MHD rotating flow of a second grade fluid over a shrinking surface , 2008 .

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

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

[28]  Kumbakonam R. Rajagopal,et al.  A note on unsteady unidirectional flows of a non-Newtonian fluid , 1982 .

[29]  K. Rajagopal,et al.  An exact solution for the flow of a non-newtonian fluid past an infinite porous plate , 1984 .