Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
ANALYSIS OF ELECTROOSMOTIC FLOW IN MICROCHANNELS THROUGH INTEGRAL TRANSFORMS
Submission Author:
João Quaresma , PA , Brazil
Co-Authors:
waneise souza, João Quaresma, Emanuel Macêdo, Helder Kiyoshi Miyagawa, Renato Machado Cotta
Presenter: waneise souza
doi://10.26678/ABCM.COBEM2023.COB2023-0706
Abstract
This work presents a hybrid numerical-analytical solution through the Generalized Integral Transform Technique (GITT) for electroosmotic flow of an electrolyte solution in rectangular microchannels with the use of polyelectrolyte (PEL) grafted brushes of uniform properties in the wall-channel region. The governing equations are derived from the direct application of the basic equations of electrokinetic forces and momentum conservation considering steady fully developed flow, uncharged walls, constant PEL thickness, and the same permittivity and viscosity inside and outside the grafted layer. The GITT solution is obtained by applying the single domain formulation for modeling both the inside and outside of the PEL layer, which leads to a fully analytical solution for the electric potential field and a hybrid solution of the momentum equation. The results obtained are in excellent agreement with those in the literature. Also, an analysis of the governing parameters is performed to observe the effects on the electrical potential and velocity fields.
Keywords
Eletroosmotic Flow, Grafted microchannels, hybrid solutions, Integral Transforms
