Unsteady Rotational Flow of Fractional Maxwell Fluid in a Cylinder Subject to Shear Stress on the Boundary

Abstract

In this article the rotational flow of some fractional Maxwell fluid is studied. An infinite straight circular cylinder is filled with the fluid
and its motion is generated by a time dependent torsion, applied to the surface of the cylinder. As novelty, the dimensionless governing equation related to the non-trivial shear tension is used and the first exact solutions analogous to a ramped shear stress on the surface are obtained using integral transforms. The obtained results allow us to provide solution for ordinary Maxwell fluid performing similar motion. In addition, the effect of non-integer order paerameter on shear stress and velocity profiles is analyzed by graphical interpretations using Mathcad software.