Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential
The unsteady electroosmotic flow (EOF) for one kind of linear viscoelastic fluid, which is Jeffrey type fluid, is investigated under the common impact of vertical magnetic field, external electric field, and pressure at high Zeta potential in a circular microchannel. The numerical solutions of the p...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/6247746 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551187912589312 |
|---|---|
| author | Meirong Ren Tiange Zhang Jifeng Cui Xiaogang Chen Bixia Wu |
| author_facet | Meirong Ren Tiange Zhang Jifeng Cui Xiaogang Chen Bixia Wu |
| author_sort | Meirong Ren |
| collection | DOAJ |
| description | The unsteady electroosmotic flow (EOF) for one kind of linear viscoelastic fluid, which is Jeffrey type fluid, is investigated under the common impact of vertical magnetic field, external electric field, and pressure at high Zeta potential in a circular microchannel. The numerical solutions of the potential and velocity distributions are obtained by solving the nonlinear Poisson-Boltzmann equation, the constitutive equation of the Jeffrey fluid, and the Cauchy momentum equation applying the Chebyshev spectral method and the finite difference method. By contrast, the Chebyshev spectral method has higher accuracy and less computation. The flow characteristics of Jeffrey fluid at high Zeta potential are analyzed with the numerical solution obtained by the Chebyshev spectral method. The results show that the velocity of Jeffrey fluid increases with the increase of the wall Zeta potential and electric width. The oscillation amplitude of velocity distribution increases with the increase of relaxation time but decreases with the increase of retardation time. When the Hartmann number is smaller, the increase of relaxation time leads to the increase of velocity; when the Hartmann number is larger, the increase of relaxation time leads to the decrease of velocity. No matter what the Hartmann number is, the velocity always decreases with the increase of the retardation time. The velocity tends to be stable gradually with the increase of time. |
| format | Article |
| id | doaj-art-600f10931c424862bf1e1c2e0023d523 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-600f10931c424862bf1e1c2e0023d5232025-02-03T06:04:45ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/6247746Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta PotentialMeirong Ren0Tiange Zhang1Jifeng Cui2Xiaogang Chen3Bixia Wu4College of ScienceCollege of ScienceCollege of ScienceCollege of ScienceCollege of ScienceThe unsteady electroosmotic flow (EOF) for one kind of linear viscoelastic fluid, which is Jeffrey type fluid, is investigated under the common impact of vertical magnetic field, external electric field, and pressure at high Zeta potential in a circular microchannel. The numerical solutions of the potential and velocity distributions are obtained by solving the nonlinear Poisson-Boltzmann equation, the constitutive equation of the Jeffrey fluid, and the Cauchy momentum equation applying the Chebyshev spectral method and the finite difference method. By contrast, the Chebyshev spectral method has higher accuracy and less computation. The flow characteristics of Jeffrey fluid at high Zeta potential are analyzed with the numerical solution obtained by the Chebyshev spectral method. The results show that the velocity of Jeffrey fluid increases with the increase of the wall Zeta potential and electric width. The oscillation amplitude of velocity distribution increases with the increase of relaxation time but decreases with the increase of retardation time. When the Hartmann number is smaller, the increase of relaxation time leads to the increase of velocity; when the Hartmann number is larger, the increase of relaxation time leads to the decrease of velocity. No matter what the Hartmann number is, the velocity always decreases with the increase of the retardation time. The velocity tends to be stable gradually with the increase of time.http://dx.doi.org/10.1155/2022/6247746 |
| spellingShingle | Meirong Ren Tiange Zhang Jifeng Cui Xiaogang Chen Bixia Wu Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential Advances in Mathematical Physics |
| title | Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential |
| title_full | Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential |
| title_fullStr | Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential |
| title_full_unstemmed | Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential |
| title_short | Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential |
| title_sort | unsteady electroosmotic flow of jeffrey fluid in a circular microchannel under the combined action of vertical magnetic field external electric field and pressure at high zeta potential |
| url | http://dx.doi.org/10.1155/2022/6247746 |
| work_keys_str_mv | AT meirongren unsteadyelectroosmoticflowofjeffreyfluidinacircularmicrochannelunderthecombinedactionofverticalmagneticfieldexternalelectricfieldandpressureathighzetapotential AT tiangezhang unsteadyelectroosmoticflowofjeffreyfluidinacircularmicrochannelunderthecombinedactionofverticalmagneticfieldexternalelectricfieldandpressureathighzetapotential AT jifengcui unsteadyelectroosmoticflowofjeffreyfluidinacircularmicrochannelunderthecombinedactionofverticalmagneticfieldexternalelectricfieldandpressureathighzetapotential AT xiaogangchen unsteadyelectroosmoticflowofjeffreyfluidinacircularmicrochannelunderthecombinedactionofverticalmagneticfieldexternalelectricfieldandpressureathighzetapotential AT bixiawu unsteadyelectroosmoticflowofjeffreyfluidinacircularmicrochannelunderthecombinedactionofverticalmagneticfieldexternalelectricfieldandpressureathighzetapotential |