The numerical solution for BVP of the liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field using the finite element method

Abstract

The method introduced in this paper is based on the finite element method. As an application for this efficient numerical method, we employ it in solving the system of ordinary differential equations which describes the thin-film flow and heat transfer with the effect of thermal radiation, magnetic field and slip velocity. The effect of the parameters which govern the proposed problem is discussed. From this theoretical and numerical study, it is observed that the slip velocity parameter tends to decrease the fluid velocity, whereas both the magnetic parameter and the radiation parameter can enhance the temperature distribution.