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Analytic Approximate Solutions and Numerical Results for Stagnation Point Flow of Jeffrey Fluid Towards an Off-Centered Rotating Disk

Published online by Cambridge University Press:  23 October 2014

N. A. Khan ,
S. Khan  and
F. Riaz
N. A. Khan*
Affiliation:
Department of Mathematical Sciences, University of Karachi Karachi, Pakistan
S. Khan
Affiliation:
Department of Mathematical Sciences, University of Karachi Karachi, Pakistan
F. Riaz
Affiliation:
Department of Mathematical Sciences, University of Karachi Karachi, Pakistan
*
* Corresponding author (njbalam@yahoo.com
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Abstract

The present paper studies the three-dimensional, off centered stagnation flow of a Jeffrey fluid over a rotating disk. The governing non-linear equations and their associated boundary conditions are transformed into coupled ordinary differential equations by utilizing an appropriate similarity transformation. Homotopy analysis method is utilized to evaluate the analytical solution in the form of infinite series. Also, the convergence region of the obtained solution is determined and plotted. The effects of pertaining parameters on radial, azimuthal and induced velocities of the fluid flow are presented graphically and discussed. Moreover comparisons have also been made with the previous results as a special case.

Keywords

Jeffrey fluidOff centered flowRotating diskHomotopy analysis method
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 2 , April 2015 , pp. 201 - 215
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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