| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000453985 |
| ISSN: | 0035-001X |
| Authors: | Arcos, J1 Bautista, O1 Méndez, F2 Peralta, M3 |
| Institutions: | 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 |
| Year: | 2020 |
| Season: | Nov-Dic |
| Volumen: | 66 |
| Number: | 6 |
| Pages: | 761-770 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | 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 ¯ |
| Disciplines: | Física y astronomía |
| Keyword: | 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 |
| Full text: | Texto completo (Ver HTML) Texto completo (Ver PDF) |
