Volume 3, Issue 3-1, June 2015, Page: 25-31
Taylor-Couette Flow of an Oldroyd-B Fluid in an Annulus Subject to a Time-dependent Rotation
M. Imran, Department of Mathematics, Government College University, Faislabad, Pakistan
Madeeha Tahir, Department of Mathematics, Government College University, Faislabad, Pakistan
M. A. Imran, School of Science and Technology, Department of Mathematics, University of Management and Technology Lahore, Lahore, Pakistan
A. U. Awan, Department of Mathematics, University of the Punjab, Lahore, Pakistan
Received: May 31, 2015;       Accepted: Jun. 1, 2015;       Published: Jun. 15, 2015
DOI: 10.11648/j.ajam.s.2015030301.15      View  3844      Downloads  105
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.
Keywords
Taylor-Couette Flow, Oldroyd-B Fluid, Velocity Field, Shear Stress
To cite this article
M. Imran, Madeeha Tahir, M. A. Imran, A. U. Awan, Taylor-Couette Flow of an Oldroyd-B Fluid in an Annulus Subject to a Time-dependent Rotation, American Journal of Applied Mathematics. Special Issue:Proceedings of the 1st UMT National Conference on Pure and Applied Mathematics (1st UNCPAM 2015). Vol. 3, No. 3-1, 2015, pp. 25-31. doi: 10.11648/j.ajam.s.2015030301.15
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