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

Balaji, R; Prakash, J; Tripathi, D; Beg, OA

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.

Citation

Balaji, R., Prakash, J., Tripathi, D., & Beg, O. (2022). Computation of magnetohydrodynamic electro-osmotic modulated rotating squeezing flow with zeta potential effects. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 128430. https://doi.org/10.1016/j.colsurfa.2022.128430

• Journal Article Type: Article
• Acceptance Date: Jan 25, 2022
• Online Publication Date: Jan 29, 2022
• Publication Date: Jan 29, 2022
• Deposit Date: Jan 25, 2022
• Publicly Available Date: Jan 29, 2023
• Journal: Colloids and Surfaces A: Physicochemical and Engineering Aspects
• Print ISSN: 0927-7757
• Publisher: Elsevier
• Pages: 128430
• DOI: https://doi.org/10.1016/j.colsurfa.2022.128430
• Publisher URL: https://doi.org/10.1016/j.colsurfa.2022.128430
• Related Public URLs: https://www.sciencedirect.com/journal/colloids-and-surfaces-a-physicochemical-and-engineering-aspects