Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition
Abstract This paper aims to study an unsteady electric field-driven and pulsatile pressure-driven flow of a Newtonian fluid in an elliptic cylindrical microchannel with Navier boundary wall slip. The governing equations of the slip flow and distributions of electric potential and charge densities ar...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-06-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1209-z |
| _version_ | 1819036079912648704 |
|---|---|
| author | Pearanat Chuchard Somsak Orankitjaroen Benchawan Wiwatanapataphee |
| author_facet | Pearanat Chuchard Somsak Orankitjaroen Benchawan Wiwatanapataphee |
| author_sort | Pearanat Chuchard |
| collection | DOAJ |
| description | Abstract This paper aims to study an unsteady electric field-driven and pulsatile pressure-driven flow of a Newtonian fluid in an elliptic cylindrical microchannel with Navier boundary wall slip. The governing equations of the slip flow and distributions of electric potential and charge densities are the modified Navier-Stokes equations, the Poisson equation and the Nernst-Planck equations, respectively. Analytical and numerical analyses based on the Mathieu and modified Mathieu equations are performed to investigate the interplaying effects of pulsatile pressure gradients and the slip lengths on the electroosmotic flow. |
| first_indexed | 2024-12-21T07:59:50Z |
| format | Article |
| id | doaj.art-1a373dffb1d747398b578febef7f5349 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-21T07:59:50Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-1a373dffb1d747398b578febef7f53492022-12-21T19:10:55ZengSpringerOpenAdvances in Difference Equations1687-18472017-06-012017111310.1186/s13662-017-1209-zStudy of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip conditionPearanat Chuchard0Somsak Orankitjaroen1Benchawan Wiwatanapataphee2Department of Mathematics, Faculty of Science, Mahidol UniversityDepartment of Mathematics, Faculty of Science, Mahidol UniversityDepartment of Mathematics and Statistics, Faculty of Science and Engineering, Curtin UniversityAbstract This paper aims to study an unsteady electric field-driven and pulsatile pressure-driven flow of a Newtonian fluid in an elliptic cylindrical microchannel with Navier boundary wall slip. The governing equations of the slip flow and distributions of electric potential and charge densities are the modified Navier-Stokes equations, the Poisson equation and the Nernst-Planck equations, respectively. Analytical and numerical analyses based on the Mathieu and modified Mathieu equations are performed to investigate the interplaying effects of pulsatile pressure gradients and the slip lengths on the electroosmotic flow.http://link.springer.com/article/10.1186/s13662-017-1209-zmicrochannel flowelliptic cross-sectionNavier-Stokes equationspulsatile pressure gradientelctroosmosiselectric potential |
| spellingShingle | Pearanat Chuchard Somsak Orankitjaroen Benchawan Wiwatanapataphee Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition Advances in Difference Equations microchannel flow elliptic cross-section Navier-Stokes equations pulsatile pressure gradient elctroosmosis electric potential |
| title | Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition |
| title_full | Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition |
| title_fullStr | Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition |
| title_full_unstemmed | Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition |
| title_short | Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition |
| title_sort | study of pulsatile pressure driven electroosmotic flows through an elliptic cylindrical microchannel with the navier slip condition |
| topic | microchannel flow elliptic cross-section Navier-Stokes equations pulsatile pressure gradient elctroosmosis electric potential |
| url | http://link.springer.com/article/10.1186/s13662-017-1209-z |
| work_keys_str_mv | AT pearanatchuchard studyofpulsatilepressuredrivenelectroosmoticflowsthroughanellipticcylindricalmicrochannelwiththenavierslipcondition AT somsakorankitjaroen studyofpulsatilepressuredrivenelectroosmoticflowsthroughanellipticcylindricalmicrochannelwiththenavierslipcondition AT benchawanwiwatanapataphee studyofpulsatilepressuredrivenelectroosmoticflowsthroughanellipticcylindricalmicrochannelwiththenavierslipcondition |