Effect of melting in natural convective boundary layer flow over a vertical plate embedded in a porous medium saturated with a non-Newtonian nanofluid

A boundary layer analysis is presented for the warm, laminar nanoliquid flow to a melting vertical plate surface in a moving non-Newtonian nanoliquid. We consider the natural convection boundary layer regime. Using the appropriate variables, the basic equations are transformed to non-similar form. These equations are solved numerically, employing the implicit finite difference method together with Keller box scheme. The rates of heat and mass transfer and the surface shear stress are presented graphically for parametric variations in the melting parameter M, buoyancy ratio parameter N-r, Brownian motion parameter N-b, thermophoresis parameter N-t, Lewis number Le and the power law exponent n.