Application of Integral Transform on the Flow of Unsteady Fractionalized Oldroyd B Fluid

Abstract

This work studies the fractional flow of two infinite coaxial cylinders over Odroyd-B fluids. The fluid motion is produced by the combined effect of the inner cylinder's rotational motion and a time-dependent oscillating pressure gradient. The Caputo fractional operator, Laplace transforms, and the finite Hankel transform are used to produce the semi-analytical solution for flow velocity and shear stress. Furthermore, the results indicate that the flow depends on time, the fractional parameter, and the non-Newtonian parameter.