Transient MHD free Convection Flow and Heat Transfer of Nanofluid Past an Impulsively Started Vertical Porous Plate in the Presence of Viscous Dissipation

Abstract

A mathematical model is developed for the nanofluid flow and heat transfer due to the impulsive motion of an infinite vertical porous plate in its own plane in the presence of a magnetic field and viscous dissipation. The governing unsteady, coupled, non-linear partial differential equations are transformed into a system of nonlinear ordinary differential equations, with appropriate boundary conditions. A robust Galerkin finite element numerical solution is developed. A range of nanofluids containing nanoparticles of aluminium oxide, copper, titanium oxide and silver with nanoparticle volume fraction ranges less than or equal to 0.04 are considered. The Tiwari-Das nanofluid model is employed. The velocity and temperature profiles as well as the skin friction coefficient and Nusselt number are examined for different parameters such as nanoparticle volume fraction, nanofluid type, magnetic parameter, thermal Grashof number, Eckert number and suction parameter. The present simulations are relevant to magnetic nanomaterials thermal flow processing in the chemical engineering and metallurgy industries.