THE EFFECT OF MAGNETIC FIELD ON THE BOUNDARY LAYER FLOW OVER A STRETCHING SHEET IN A NANOFLUID WITH CONVECTIVE BOUNDARY CONDITION

The boundary layer flow created due to a linearly stretching sheet in a nanofluid is studied numerically. The boundary value problem consisting of nonlinear partial differential equations are converted into nonlinear ordinary differential equations, using similarity transformation and are solved numerically using Runge-Kutta Fourth order method, with shooting technique. The transport equations include the effects of Brownian motion and thermophoresis. Unlike the commonly employed thermal conditions of constant temperature or constant heat flux, the present study uses a convective heating boundary conditions. The solutions for the temperature and nanoparticle concentration distribution depend on six parameters , Prandtl number, Lewis number, Brownian motion parameter, thermophoresis parameter, convective Biot number and magnetic field parameter.