Abstract: This paper investigates the unsteady magneto hydrodynamic free convection flow past a vertical porous plate considering radiation and volume fraction effects in a nanofluid. It is assumed that the plate oscillate with constant frequency in time. The transformed coupled, dimensionless partial differential equations are solved numerically by using finite element method. The influence of physical parameters on velocity, temperature profiles are discussed and depicted with the aid of graphs. Finally the numerical values of skin friction and Nusselt number with in the boundary layer are compared to ensure the correctness of this numerical scheme. This investigation has great practical importance in many branches of Science, Engineering and Technology viz. cooling applications, material processing, biomedical application s and other possible areas.
Keywords: Nanofluid, Volume fraction, Radiation, MHD, FEM.