analytical and numerical studies on hydromagnetic flow of boungiorno model nanofluid over a vertical plate

mhd boundary layer flow of two phase model nanofluid over a vertical plate is investigated both analytically and numerically. a system of governing nonlinear partial differential equations is converted into a set of nonlinear ordinary differential equations by suitable similarity transformations and then solved analytically using homotopy analysis method and numerically by the fourth order runge-kutta method along with shooting iteration technique. the effects of magnetic parameter, prandtl number, lewis number, buoyancy-ratio parameter, brownian motion parameter and thermophoresis parameter on the velocity profile, temperature profile and concentration profile of the nanofluid are discussed graphically. the values of reduced local nusselt number and reduced local sherwood number are tabulated and discussed. it is noted that the brownian motion and thermophoresis parameters enhance the velocity distribution and the temperature distribution, but it suppress the concentration distribution. furthermore, comparisons have been made with bench mark solutions for a special case and obtained a very good agreement..