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

• Published in: Journal of computational and applied mathematics Vol. 376; p. 112885
• Main Authors: Awan, Aziz Ullah, Ali, Mukarram, Abro, Kashif Ali
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2020
• Subjects: Electroosmotic flow; Oldroyd-B fluid; Slip boundary conditions; Stehfest algorithm; Time-fractional Caputo–Fabrizio derivative; Electroosmotic flow; Time-fractional Caputo–Fabrizio derivative; Oldroyd-B fluid; Stehfest algorithm; Slip boundary conditions
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/j.cam.2020.112885

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. •The slip flow of an unsteady incompressible Oldroyd-B fluid model is presented subject to the electroosmosis and the pressure gradient.•The progress of the fluid is treated to be as passage composed by two micro-parallel plates in which the potential difference of 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 and then are investigated by Laplace transform with inverse Laplace transform and numerical Stehfest algorithm.•The validity of our obtained results has been done by taking their tabular comparison of two different (Stehfest and Tzou) algorithms via graphical simulation.