Unsteady Unidirectional Flow of a Fractional Burgers' Fluid Through an Infinite Circular Cylinder

In this article, the flow of a Burgers' fluid having Caputo fractional derivatives in an infinite cylinder is discussed. Initially, the fluid is at rest and after at t = 0(+), due to shear, it instantly moves to slide along its axes. The transformed solutions of the velocity field and the shear stress are attained applying Laplace transform and using modified Bessel equation. Modified Bessel functions I-0(.) and I-1(.) are used in our transformed solutions. Our solutions satisfy both initial and boundary conditions. Matlab computer software is used to solve Laplace inverse transformation for numerical simulations. The graphical illustrations represent the behavior of material parameters on our solutions.