Convective flow of nanofluid along a permeable stretching/shrinking wedge with second order slip using Buongiorno’s mathematical model

Abstract

In this paper we have studied an unsteady two-dimensional laminar forced convective hydrodynamic heat and mass transfer flow of nanofluid along a permeable stretching/shrinking wedge with second order slip velocity using Buongiorno’s mathematical model. Using appropriate similarity transformations, the governing non-linear partial differential equations are reduced to a set of non-linear ordinary differential equations which are then solved numerically using the function bvp4c from MATLAB for different values of the parameters. Numerical results for the nondimensional velocity, temperature and nanoparticle volume fraction profiles as well as local skin-friction coefficient, local Nusselt number and local Sherwood number for different material parameters such as wedge angle parameter, unsteadiness parameter, Lewis number, suction parameter, Brownian motion parameter, thermophoresis parameter, slip parameter and Biot number are displayed in graphically as well as tabular form and discussed them from the physical point of view. The obtained numerical results clearly indicate that the flow field is influenced significantly by the second order slip parameter as well as surface convection parameter.