Abstract: Science Set Journal of Physics

Abstract:
The time dependent Couette flow (CF) of a conducting fluid formed between two concentric tubes filled with a porous material with variable electric potential and interplay of motion of the outer/inner cylinders is investigated. The governing electric field potential as well as the momentum equivalences are gotten from Poisson–Boltzmann and Navier Stokes equations respectively. As a promising tool for solving time-dependent problems, the Laplace-transform technique is employed to get analytical solution for velocity profile in Laplace realm. By employing the Riemann sum approximation (RSA) simulation, the results are obtained numerically in time-domain. During the graphical and numerical simulation of obtained results, it is found that the magnitude of electrokinetic effect as well as Debye-Hückel parameter play important role in flow formation and mass flow rate in the horizontal annulus. Furthermore, motion of the cylinders can serve as control mechanisms to lower or enhance mass flow rate and skin friction.