Abstract
This article presents some starting solutions corresponding to
unsteady rotational flow of a second grade fluid with the non-integer Caputo time fractional derivatives through an infinite long cylinder. The
fluid in the infinitely long cylinder is initially at rest and at t = 0+, the
fluid starts to rotate due to applied shear stress. By using modified Bessel
equation and Laplace transformation, solutions for velocity field and shear
stress are obtained. The solutions are presented in transformed domain in
terms of modified Bessel functions I0(·) and I1(·) and satisfy all imposed
initial and boundary conditions. In this paper, inverse Laplace transformation has been calculated numerically by using Stehfest’s algorithm. The
hybrid technique presented in this paper has less computational effort and
time cost as compared to other schemes in literature. Finally, the behavior
of different parameters is graphically examined.
Nauman Raza. (2017) Unsteady Rotational Flow of a Second Grade Fluid with Non-Integer Caputo Time Fractional Derivative, Punjab University Journal of Mathematics, Volume 49, Issue 3.
-
Views
499 -
Downloads
44
Article Details
Volume
Issue
Type
Language
