Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials
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 Pois...
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| Published in | Applied mathematics and mechanics Vol. 39; no. 5; pp. 667 - 684 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Shanghai
Shanghai University
01.05.2018
Springer Nature B.V |
| Edition | English ed. |
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| Online Access | Get full text |
| ISSN | 0253-4827 1573-2754 |
| DOI | 10.1007/s10483-018-2328-6 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Peralta, M. Bautista, O. Méndez, F. Bautista, E. |
| Author_xml | – sequence: 1 givenname: M. surname: Peralta fullname: Peralta, M. organization: Sección de Estudios de Posgrado e Investigación ESIME Azcapotzalco, Instituto Politécnico Nacional – sequence: 2 givenname: O. surname: Bautista fullname: Bautista, O. email: obautista@ipn.mx organization: Sección de Estudios de Posgrado e Investigación ESIME Azcapotzalco, Instituto Politécnico Nacional – sequence: 3 givenname: F. surname: Méndez fullname: Méndez, F. organization: Facultad de Ingeniería, Universidad Nacional Autónoma de México – sequence: 4 givenname: E. surname: Bautista fullname: Bautista, E. organization: Sección de Estudios de Posgrado e Investigación ESIME Azcapotzalco, Instituto Politécnico Nacional |
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| SubjectTerms | Applications of Mathematics Boltzmann transport equation Classical Mechanics Computational fluid dynamics Elasticity Electrokinetics Flat plates Fluid flow Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Maxwell fluids Partial Differential Equations Reynolds number Velocity distribution Viscoelasticity |
| Title | Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials |
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