Dual solutions of slip flow past a nonlinearly shrinking permeable sheet

Abstract

The aim of the paper is to investigate the flow of an incompressible viscous fluid past a nonlinearly shrinking permeable sheet. Partial slip condition is considered instead of no slip condition at the boundary. The self similar equations are obtained and then solved numerically by a shooting technique. Dual solutions are obtained for the flow past a nonlinearly shrinking sheet with slip condition in the presence of suction. It is found that for the first solution the momentum boundary layer thickness decreases with slip and suction parameters; but it increases with the power-law index of the shrinking velocity. The dual solutions for the velocity field are obtained for the positive values of power-law index n and for certain values of the other parameters in the study. Velocity slip controls the boundary layer separation. However, the power-law index acts to accelerate the boundary layer separation.

Keywords

• Dual solutions
• Velocity slip
• Mass transfer
• Nonlinear shrinking sheet