Table of Contents
ISRN Applied Mathematics
Volume 2012 (2012), Article ID 782369, 13 pages
http://dx.doi.org/10.5402/2012/782369
Research Article

An Analytical Study of Weakly Nonlinear Dynamics of a Walters’ Liquid B around a Flexible Sheet Undergoing Super Linear Stretching

1Department of Mathematics, Bangalore University, Central College Campus, Bangalore 560 001, India
2Department of Civil Engineering, University of Nottingham, Malaysia Campus, Jalan Broga, 43500 Semenyih, Malaysia
3Department of Mathematics, Government First Grade College for Women, Hassan 573 201, India

Received 21 August 2011; Accepted 7 October 2011

Academic Editor: M. F. El-Sayed

Copyright © 2012 P. G. Siddheshwar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The paper discusses the boundary layer flow of Walters’ liquid B over a stretching sheet. The stretching is assumed to be a quadratic function of the coordinate along the direction of stretching. The study encompasses within its realm both Walters’ liquid B and second order liquid. The velocity distribution is obtained by solving the nonlinear governing differential equation. Analytical expressions are obtained for stream function and velocity components as functions of the viscoelastic and stretching related parameters. It is shown that the viscoelasticity goes hand in hand with quadratic stretching in enhancing the lifting of the liquid as we go along the sheet.