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

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 trans...

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Bibliographic Details
Published in:Journal of mechanics 2015-04, Vol.31 (2), p.201-215
Main Authors: Khan, N. A., Khan, S., Riaz, F.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Differential equations
Fluid flow
Fluid mechanics
Fluids
Mathematical analysis
Mathematical models
Numerical analysis
Ordinary differential equations
Rotating disks
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Studies
Three dimensional
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Summary: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.
ISSN:1727-7191
1811-8216
DOI:10.1017/jmech.2014.75