TITLE:
Unsteady Incompressible Viscoelastic Flow of a Generalised Maxwell Fluid between Two Rotating Infinite Parallel Coaxial Circular Disks
AUTHORS:
Dhiman Bose, Uma Basu
KEYWORDS:
Generalised Maxwell Fluid; Laplace Transform; Finite Fourier Sine Transform; Mittag-Leffler Function; Fractional Derivative
JOURNAL NAME:
Open Journal of Fluid Dynamics,
Vol.3 No.2,
June
5,
2013
ABSTRACT:
The unsteady incompressible viscous flow of a Generalised Maxwell fluid between two coaxial rotating infinite parallel circular disks is studied by using the method of integral transforms. The motion of the fluid is created by the rotation of the upper and lower circular disks with different angular velocities. A fractional calculus approach is utilized to determine the velocity profile in series form in terms of Mittag-Leffler function. The influence of the fractional as well as the material parameters on the velocity field is illustrated graphically.