Analysis of an electroosmotic flow in wavy wall microchannels using the lubrication approximation



Título del documento: Analysis of an electroosmotic flow in wavy wall microchannels using the lubrication approximation
Revue: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000453985
ISSN: 0035-001X
Autores: 1
1
2
3
Instituciones: 1Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Azcapotzalco, Ciudad de México. México
2Universidad Nacional Autónoma de México, Facultad de Ingeniería, Ciudad de México. México
3Tecnológico de Estudios Superiores de Huixquilucan, Huixquilucan Estado de México. México
Año:
Periodo: Nov-Dic
Volumen: 66
Número: 6
Paginación: 761-770
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés We present the analysis of an electroosmotic flow (EOF) of a Newtonian fluid in a wavy-wall microchannel. To describe the flow and electrical fields, the lubrication and Debye-Hückel approximations are used. The simplified governing equations of continuity, momentum, and Poisson-Boltzmann, together with the boundary conditions, are presented in dimensionless form. For solving the mathematical problem, numerical and asymptotic techniques were applied. The asymptotic solution is obtained in the limit of very thin electric double layers (EDLs). We show that the lubrication theory is a powerful technique for solving the hydrodynamic field in electroosmotic flows in microchannels where the amplitude of the waviness changes on the order of the mean semi-channel height. Approximate analytical expressions for the velocity components and pressure distribution are derived, and a closed formula for the volumetric flow rate is obtained. The results show that the principal parameters that govern this EOF are the geometrical parameter, ε, which characterizes the waviness of the microchannel, and the ratio of the mean semi-channel height to the thickness of the EDL, κ ¯
Disciplinas: Física y astronomía
Palabras clave: Física de materia condensada,
Microcanal de pared ondulada,
Flujo electroosmótico,
Teoría de la lubricación,
Método de perturbación de dominio
Keyword: Condensed matter physics,
Wavy wall microchannel,
Electroosmotic flow,
Lubrication theory,
Domain perturbation method
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