Boundary layer Slip Flow and Heat Transfer of Nanofluid Induced by a Permeable Stretching Sheet with Convective Boundary Condition

The objective of this paper is to consider both effects of slip and convective heat boundary conditions on steady two-dimensional boundary layer flow of a nanofluid over a stretching sheet in the presence of blowing/suction simultaneously. Flow meets the Navier's slip condition at the surface and Biot number is also used to consider the effects of convective heat transfer. The employed model for nanofluid includes two-component four-equation nonhomogeneous equilibrium model that incorporates the effects of nanoparticle migration owing to Brownian motion and thermophoresis. The basic partial boundary layer equations have been transformed into a two-point boundary value problem via similarity variables. Results for impermeable isothermal surface and also no-slip boundary condition were in best agreements with those existing in literatures. Effects of governing parameters such as Biot number (Bi), slip parameter (λ), thermophoresis (Nt), Prandtl number (Pr), Lewis number (Le), Brownian motion (Nb) and blowing/suction (S) on reduced Nusselt and Sherwood numbers are analyzed and discussed in details. The obtained results indicate that unlike heat transfer rate, concentration rate is very sensitive to all parameters among which Le, S and Pr are the most effective ones.

Keywords:

Nanofluid , Slip flow , stretching sheet , Convective boundary condition , Similarity solution