Steady MHD Boundary-layer Slip Flow and Heat Transfer of Nanofluid over a Convectively Heated of a Non-linear Permeable Sheet

The present study investigates the theoretical analysis on steady viscous incompressible MHD laminar boundary-layer flow and heat transfer of an electrically conducting nanofluid over a convectively heated nonlinear permeable sheet with partial slip using homotopy analysis method. The present model used for the nanofluid incorporates the combined effects of magnetic field, partial slip, Biot number, suction/injection, non-linear parameter, Brownian motion, and thermophoresis. We use local similarities variable, the governing equations which are nonlinear partial differential equations was transformed into a system couple of nonlinear ordinary differential equation, which are solved semi-analytical by using homotopy analysis method. Graphically results obtained for the velocity, temperature, and nanoparticle concentration profiles are displayed for various values of the existing parameters controlling the fluid flow: Slip parameter ζ, Magnetic field M, Biot number Bi, suction/injection parameter s, Brownian motion parameter Nb, and thermophoresis parameter Nt. It was found that the Biot number increase the dimensionless temperature profile. Numerical results obtained are compared with the previous published results found on literatures are in good agreement and are discussed quantitatively.