Unsteady mhd slip flow of non Newtonian power-law nanofluid over a moving surface with temperature dependent thermal conductivity

Abstract

In this paper, unsteady magnetohydrodynamic (MHD) boundary layer slip ow and heat transfer of power-law nano uid over a nonlinear porous stretching sheet is investigated numerically. The thermal conductivity of the nano uid is assumed as a function of temperature and the partial slip con- ditions are employed at the boundary. The nonlinear coupled system of par- tial differential equations governing the ow and heat transfer of a power- law nano uid is first transformed into a system of nonlinear coupled ordinary differential equations by applying a suitable similarity transformation. The resulting system is then solved numerically using shooting technique. Numer- ical results are presented in the form of graphs and tables and the effect of the power-law index, velocity and thermal slip parameters, nano uid volume concentration parameter, applied magnetic field parameter, suction/injection parameter on the velocity and temperature profiles are examined from physical point of view. The boundary layer thickness decreases with increase in strength of applied magnetic field, nanoparticle volume concentration, velocity slip and the unsteadiness of the stretching surface. Whereas thermal boundary layer thickness increase with increasing values of magnetic parameter, nanoparticle volume concentration and velocity slip at the boundary.