Electroosmotic slip flow of Oldroyd-B fluid between two plates with non-singular kernel

Abstract

In the present research article, we investigated the slip flow of an unsteady incompressible Oldroyd-B fluid model. The electroosmosis and the pressure gradient have been seized for the stimulation of flow. The progress of the fluid is treated to be as passage composed by two micro-parallel plates. The potential difference alive between hard surface and the fluid is taken to be non symmetric. The governing equations are established for an Oldroyd-B fluid by using newly defined Caputo–Fabrizio fractional derivative. We used Laplace transform for converting the problem into spacial coordinates after proposing the geometry free variables. To find inverse Laplace transform, numerical Stehfest algorithm is used in place of promoting an analytical expression for it. In order to have the validity of our obtained results, the tabular comparison of two different algorithms (Stehfest and Tzou) and graphical simulation have been investigated. The conclusions are also illustrated in terms of graphs and carry the report of slip flow effect as well as some pertinent parameters on the velocity of the fluid.