Transient electro-osmotic slip flow of an Oldroyd-B fluid with time-fractional Caputo-Fabrizio ...

In this article, we study the electro-osmotic flow of an Oldroyd-B fluid a with slip condition on the boundary in a circular micro-chael by using a newly definedtime-fractional Caputo-Fabrizio derivative without singular keel. Closed form solutions for the velocity field is acquired by means of Laplace and finite Hankel transforms.In addition, Stehfest’s algorithm is used for inverse Laplace transform. The solutions for fractional Maxwell, ordinary Maxwell, fractional Newtonian and ordinary Newtonian fluids are obtained as limiting cases of our solution. Finally, the influences of fractional and some important physical parameters on the fluid flow are spotlighted graphically.