Taylor-Couette Flow of an Oldroyd-B Fluid in an Annulus Subject to a Time-dependent Rotation
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Date
2015-06-12
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
American Journal of Applied Mathematics
Abstract
In this paper the velocity field and the adequate shear stress corresponding to the rotational flow of an Oldroyd-B
fluid, between two infinite coaxial circular cylinders, are determined by applying the finite Hankel transforms. The motion is
produced by the inner cylinder that, at time t = 0+
, is subject to a time-dependent rotational shear stress. The solutions that have
been obtained are presented under series form in terms of Bessel functions, satisfy all imposed initial and boundary conditions.
Moreover, these solutions satisfy both the governing differential equations and all imposed initial and boundary conditions. The
corresponding solutions for Maxwell, second grade and Newtonian fluids are obtained as limiting case of general solutions.
Finally, the influence of the pertinent parameters on the velocity and shear stress of the fluid is analyzed by graphical
illustrations
Description
Keywords
Mathematics, Taylor-Couette Flow, Oldroyd-B Fluid, Velocity Field, Shear Stress
Citation
Imran, M., Tahir, M., Imran, M. A.,& Awan, A. U. (2015). Taylor-Couette Flow of an Oldroyd-B Fluid in an Annulus Subject to a Time-dependent Rotation American Journal of Applied Mathematics, 3(3-1), 25-31.(M. ImranAsjad)