MHD BOUNDARY-LAYER FLOW AND HEAT TRANSFER OF NANOFLUID OVER A NON-LINEAR PERMEABLE SHEET WITH PARTIAL SLIP
YAHAYA SHAGAIYA DANIEL *
Department of Mathematics, Kaduna State University, Nigeria
*Author to whom correspondence should be addressed.
The present study investigates MHD boundary-layer flow and heat transfer of nanofluid over a non-linear permeable sheet with partial slip using homotopy analysis method (HAM). The present model which is on nanofluid incorporates the combined effects of magnetic field, partial slip, 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 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 such as slip parameter, Magnetic field, suction/injection parameter, Brownian motion parameter, and thermophoresis parameter. Numerical results obtained are compared with the previous published results found on literatures are found to be in good agreement and are discussed quantitatively.
Keywords: Slip velocity, magnetic field, Brownian motion, non-linear stretching sheet, thermophoresis, nanofluids