Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706770 | Applied Mathematical Modelling | 2009 | 8 Pages |
Abstract
This paper is concerned with the exact analytic solutions for the velocity field and the associated tangential stress corresponding to a potential vortex for a fractional Maxwell fluid. The fractional calculus approach is taken into account in the constitutive relationship of a non-Newtonian fluid model. Exact analytic solutions are obtained by using the Hankel transform and the discrete Laplace transform of sequential fractional derivatives. The solutions for a Maxwell fluid appear as the limiting cases of our general solutions by setting α=1α=1. The influence of fractional coefficient on the decay of vortex velocity is also analyzed by graphical illustrations.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
M. Khan, S. Hyder Ali, C. Fetecau, Haitao Qi,