Electro-osmosis modulated periodic membrane pumping flow and particle motion with magnetic field effects

Theoretical studies of micro-electro-mechanical systems provide important insight into the mechanisms and optimization such devices for a range applications, including biomedical chemical engineering. Inspired by emerging applications microfluidics, unsteady viscous flow in microchannel with periodic membrane pumping modulated electro-magnetohydrodynamics is analyzed mathematical framework. The kinematics induces pressure inside microchannel, where an electric field enhances capability rate. This model formulated based on Navier–Stokes equations, Poisson equation, Maxwell electromagnetic equations further simplified using lubrication approximations Debye–Hückel linearization. transformed dimensionless conservation under appropriate boundary conditions are analytically solved graphical results illustrated through MATLAB (2019b) software. From computational results, it found that Hartmann number fluid uniformly throughout while parameter enforces direction pressure-driven flow. time-averaged rate exhibits linear decay axial gradient, strongly elevated whereas weakly increased double layer thickness parameter. It observed driven unidirectionally contractions via particle tracking simulation method. study relevant to parametric estimation designing magnetic field-based microfluidics microlevel transport phenomena.