Exact solutions of boundary layer equations of a special non-Newtonian fluid over a stretching sheet

摘要

This work focuses on the boundary layer equations of a special third grade fluid over a stretching sheet in which the second grade effects are negligible compared to third grade and viscous effects. As a first step, the general symmetries of the partial differential system are derived using Lie group analysis. Following this, the equations are reduced to an ordinary differential system via similarity transformations. Finally, the resulting ordinary differential systems are solved. The main observation is that, as the non-Newtonian behavior increases, the boundary layer gets thicker.