Unsteady stagnation-point flow and heat transfer past a permeable shrinking sheet in a nanofluid using Buongiorno’s model

Abstract

The unsteady stagnation-flow over a permeable shrinking sheet in a nanofluid using the Buongiorno’s model is numerically investigated. By using an appropriate similarity transformation, similarity equations are obtained and the shooting technique is used to solve these equations. The results are obtained for the skin friction coefficient, the local Nusselt number and the local Sherwood number, the velocity, temperature and concentration profiles for some values of the governing parameters, namely the unsteadiness parameter, the mass suction parameter, the Brownian motion parameter, the thermophoresis parameter and the Lewis number. The results are presented graphically and discussed. It is found that dual solutions exist for certain range of wall mass suction, unsteadiness and nanofluid parameters.