Computation of magnetohydrodynamic electro-osmotic modulated rotating squeezing flow with zeta potential effects

Abstract

Motivated by exploring novel intelligent functional materials deployed in electromagnetic squeezing flows such systems, a comprehensive mathematical model is developed to investigate the squeezing flow of a smart viscous ionic magneto-tribological fluid with zeta potential effects, intercalated between two parallel plates rotating in unison, under the simultaneous application of electric and magnetic fields. The lower disk permits lateral mass flux (suction or injection). Continuity and momentum equations are represented in the proposed three-dimensional mathematical model by a set of partial differential equations. The electro-viscous effects resulting from distorted electric double-capacity flow fields are comprehensively examined for various intensities of applied plate motion. The formulation features a more robust approach to the traditional Poisson-Boltzmann equation model. A similarity transformation is used to translate the governing equations into ordinary differential equations, which are then numerically solved with appropriate boundary conditions at the disks using MATLAB software. Via graphical visualization of velocity profiles, pressure gradients and the upper wall coefficient of skin friction, several characteristics of squeezing flow are analysed. The computations show that there is a rise in pressure near the plate walls and a fall in pressure in the centre with increment in rotational, electroosmosis, electric field, and magnetic parameters. However, by selecting the appropriate squeezing velocity, the viscous drag on the lower plate can be effectively reduced. It is also observed that as the disk (wall) suction parameter increases, both radial and transverse velocities are damped. The current study generalizes previous investigations with the novelty of rotation and also pressure gradient computations. Furthermore, it provides a useful benchmark for alternative numerical simulations.