Unsteady MHD flow and radiation heat transfer of nanofluid in a finite thin film with heat generation and thermophoresis

This paper presents an investigation for unsteady MHD flow and radiation heat transfer of a nanofluid in a finite thin film over stretching surface in which the effects of heat generation, thermophoresis and Brownian motion are taken into account. Boundary layer governing differential equations are formulated and reduced into a set of ordinary differential equations by suitable similarity transformations. Solutions are obtained numerically and some interesting results are found. Results show that the film thickness decreases monotonically with unsteady parameter and the magnetic parameter increase but increases with the power law index number m. The temperature profile decreases while the nanoparticle volume fraction increases as the thermophoresis parameter increases. More effects of involved parameters on velocity, temperature and concentration fields are graphically presented and analyzed in detail. (C) 2016 Taiwan Institute of Chemical Engineers. Published by Elsevier B.V. All rights reserved.