Dual Solutions Of Slip Flow Past A Nonlinearly Shrinking Permeable Sheet

Keywords

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

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.

Publication Date

6-1-2016

Publication Title

Alexandria Engineering Journal

Volume

55

Issue

2

Number of Pages

1835-1840

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.aej.2016.04.002

Socpus ID

84964620177 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84964620177

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