Withdrawal and drainage of generalized second grade fluid on vertical cylinder with slip conditions

M. Farooq
Department of Mathematics, National University of Computer and Emerging Sciences, Peshawar, Pakistan.
M. T. Rahim
Department of Mathematics, National University of Computer and Emerging Sciences, Peshawar, Pakistan.
S. Islam
Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan.
A. M. Siddiqui
Department of Mathematics, Pennsylvania State University, York Campus, York, USA.

\(^{1}\)Corresponding Author: farooq_nihal@hotmail.com

Copyright © 2013 M. Farooq, M. T. Rahim, S. Islam, A. M. Siddiqui. 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.

Published: December, 2013.

Abstract

This paper investigates the steady thin film flows of an incompressible Generalized second grade fluid under the influence of nonisothermal effects. These thin films are considered for two different problems, namely, withdrawal and drainage problems. The governing continuity and momentum equations are converted into ordinary differential equations. These equations are solved analytically. Expressions for the velocity profile, temperature distribution, volume flux, average velocity and shear stress are obtained in both the cases. Effects of different parameters on velocity and temperature are presented graphically.

Keywords:

Thin film flow, withdrawal, drainage, Generalized second grade fluid.