Study On Electro-Osmotic Flow In Rectangular Microchannel
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Date
2025
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Department of Mathematics, NITS
Abstract
This article investigates the combined impacts of electro-osmosis as well as pressure-driven flow under an applied electric field in a rectangular nano channel which is filled an electrolyte solution. The Poisson-Boltzmann equation provides the distribution of the induced potential using the Debye-H¨uckel approximation, while the Navier-Stokes equation provides the distribution of fluid velocity in one dimension. In this study, analytical solutions of the velocity and induced potential of fluid in rectangular microchannel. The fluid flow relies on many variables such as channel height, direction of pressure gradient, electrolyte strength, zeta potential at the channel edge, etc. The axial velocity produces a parabolic shape profile while the electrolyte concentration is low, but a plug-like form profile as the electrolyte concentration increases. The axial velocity rises with electrolyte concentration, reaching constant values at high electrolyte concentrations.