HYBRID SOLUTIONS FOR ELECTRO-OSMOTIC FLOWS IN ELLIPTICAL MICROCHANNELS
Fernanda Gabrielle Cavalcante dos Santos1; Diana Patrícia Santos de Souza1; Emanuel Negrão Macêdo1; João Nazareno Nonato Quaresma1
1 Universidade Federal do Pará
doi:10.20906/CPS/COB-2015-2674
Resumo
This work analyzes the effects of the electric double layer (EDL) near the solid-liquid interface and the electro-osmotic flow combined with pressure gradient of Newtonian fluids through an elliptical microchannel. A nonlinear, two-dimensional Poisson-Boltzmann equation governing the electrical double layer field in the cross section of elliptical channel is solved with a hybrid solution through the Generalized Integral Transform Technique (GITT). The behavior of the velocity profile was analyzed for governing parameters of the flow, such as: the ratio of the pressure force to the electric force, aspect ratio of the cross-section and the electrokinetic diameter. The results clearly show that the presence of a pressure gradient strongly modifies the flow behavior of a purely electro-osmotic and they highlights that the flow rate is strongly influenced by the aspect ratio of the cross-section, while the pressure head is more sensible to the electrokinetic diameter. Besides, a convergence analysis for different values of governing parameters was performed to demonstrate the effectiveness of the GITT approach.
Palavras-chave: electro-osmotic flow; pressure gradient ; elliptical microchannel; GITT approach