Effects of second order velocity slip and nanoparticles migration on flow of Buongiorno nanofluid

The present work analyzes the effects of second order velocity slip and nanoparticles migration on nanofluids between two rotating parallel plates. The classical Buongiorno model involves Brownian motion and thermophoretic diffusivities is modified by considering nanoparticle volume fraction distribution. Homotopy analysis method is employed to solve the equations, then the accuracy and efficiency of the HAM solutions are verified by hh-curves and residual errors curves using package BVPh2.0. Physical interests in Nusselt number and skin friction as well as nanoparticles migration are illustrated by graphs.