Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials

doi:10.1007/s10483-018-2328-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (5): 667-684.doi: https://doi.org/10.1007/s10483-018-2328-6

Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials

M. PERALTA¹, O. BAUTISTA¹, F. MÉNDEZ², E. BAUTISTA¹

1. Sección de Estudios de Posgrado e Investigación ESIME Azcapotzalco, Instituto Politécnico Nacional, Ciudad de México 02250, México;
2. Facultad de Ingeniería, Universidad Nacional Autónoma de México, Ciudad de México 04510, México

收稿日期:2017-07-30 修回日期:2017-11-16 出版日期:2018-05-01 发布日期:2018-05-01
通讯作者: O.BAUTISTA,E-mail:obautista@ipn.mx E-mail:obautista@ipn.mx
基金资助:
Project supported by the Fondo Sectorial de Investigación para la Educación from the Secretaría de Educación Pública-Consejo Nacional de Ciencia y Tecnología (No. CB-2013/220900) and the Secretaría de Investigación y Posgrado from Instituto Politécnico Nacional of Mexico (No. 20171181)

Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials

M. PERALTA¹, O. BAUTISTA¹, F. MÉNDEZ², E. BAUTISTA¹

1. Sección de Estudios de Posgrado e Investigación ESIME Azcapotzalco, Instituto Politécnico Nacional, Ciudad de México 02250, México;
2. Facultad de Ingeniería, Universidad Nacional Autónoma de México, Ciudad de México 04510, México

Received:2017-07-30 Revised:2017-11-16 Online:2018-05-01 Published:2018-05-01
Contact: O.BAUTISTA E-mail:obautista@ipn.mx
Supported by:
Project supported by the Fondo Sectorial de Investigación para la Educación from the Secretaría de Educación Pública-Consejo Nacional de Ciencia y Tecnología (No. CB-2013/220900) and the Secretaría de Investigación y Posgrado from Instituto Politécnico Nacional of Mexico (No. 20171181)

摘要/Abstract

摘要：

The pulsatile electroosmotic flow (PEOF) of a Maxwell fluid in a parallel flat plate microchannel with asymmetric wall zeta potentials is theoretically analyzed. By combining the linear Maxwell viscoelastic model, the Cauchy equation, and the electric field solution obtained from the linearized Poisson-Boltzmann equation, a hyperbolic partial differential equation is obtained to derive the flow field. The PEOF is controlled by the angular Reynolds number, the ratio of the zeta potentials of the microchannel walls, the electrokinetic parameter, and the elasticity number. The main results obtained from this analysis show strong oscillations in the velocity profiles when the values of the elasticity number and the angular Reynolds number increase due to the competition among the elastic, viscous, inertial, and electric forces in the flow.

关键词: pulsatile electroosmotic flow (PEOF), flat plate microchannel, preview control, optimal servo system, error system, asymmetric zeta potential, Maxwell fluid

Abstract:

Key words: pulsatile electroosmotic flow (PEOF), preview control, optimal servo system, error system, flat plate microchannel, Maxwell fluid, asymmetric zeta potential

中图分类号:

M. PERALTA, O. BAUTISTA, F. MÉNDEZ, E. BAUTISTA. Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(5): 667-684.

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Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials

Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials

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