Dual solutions of slip flow past a nonlinearly shrinking permeable sheet

Sudipta Ghosh, Swati Mukhopadhyay, Kuppalapalle Vajravelu
2016 Alexandria Engineering Journal  
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
more » ... ckness 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. Ó 2016 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
doi:10.1016/j.aej.2016.04.002 fatcat:6lbiyouexnapleafzkht6b3aiy