Nonsimilar stagnation flow of Williamson fluid over an isothermal linearly stretched sheet

Abstract

The objective of this work is to analyze the boundary layer flow in the vicinity of a stagnation point on a linearly stretched isothermal flat surface. The ambient fluid temperature is considered different than that of the sheet. The streaming fluid rheological behavior is approximated via the Williamson fluid model. The normalized partial differential equations based on the balances of mass, momentum, and energy are simulated numerically via the symbolic and numeric computing software Maple for two entirely different scenarios. In the first scenario, the outer potential flow velocity dominates the sheet velocity whilst it is the other way round for the second scenario. The plots showing the behaviors of velocity and temperature are presented at various streamwise locations. The skin friction and Nusselt number are also visualized graphically and listed in tabular forms. The analysis reveals that all quantities including velocity and temperature show a strong dependence on the streamwise co-ordinate. In general, velocity distribution and temperature rise with a gradual march along the streamwise direction. The heat transfer coefficient also elevates upon an increase in the streamwise co-ordinate. This contradicts several previously published results on the boundary layer flow of Williamson fluid where no such dependence is seen.