BOUNDARY LAYER STAGNATION POINT FLOW OF A NANOFLUID OVER A PERMEABLE SURFACE WITH VELOCITY, THERMAL AND SOLUTAL SLIP BOUNDARY CONDITIONS
YAHAYA SHAGAIYA DANIEL *
Kaduna State University, Nigeria.
*Author to whom correspondence should be addressed.
Analysis has been conducted on the boundary layer stagnation point flow and heat transfer over a permeable flat surface with velocity, thermal and solutal slip boundary conditions is investigated. The governing equations which are nonlinear partial differential equations and non-dimensionalized are transformed into ordinary differential equations using similarity transformation method and then solved by using homotopy analysis method (HAM). On the boundary layer stagnation point flow the velocity, temperature, and nanoparticle concentration profiles are then determined graphically. The effects of various physical involved parameters on dimensionless velocity, temperature and concentration, namely the Prandtl number, Lewis number, Brownian motion parameters, thermophoresis parameter, suction/injection, and slip parameters. Our study shows that the local Nusselt number reduces as Brownian motion parameter with thermophoresis parameter increases. The Sherwood number increase as both thermophoresis parameter and Lewis number increase while as the Brownian motion parameter increase it reduces.
Keywords: Slip boundary conditions, stagnation point flow, homotopy analysis method, newtonian heating, permeable flat surface, thermophoresis