Unsteady Incompressible Viscoelastic Flow of a Generalised Maxwell Fluid between Two Rotating Infinite Parallel Coaxial Circular Disks

Dhiman Bose, Uma Basu

Department Applied Mathematics, University of Calcutta, Kolkata, India.

DOI: 10.4236/ojfd.2013.32008                

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.

Keywords

Generalised Maxwell Fluid; Laplace Transform; Finite Fourier Sine Transform; Mittag-Leffler Function; Fractional Derivative

Conflicts of Interest

The authors declare no conflicts of interest.

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