Semi-analytical model of mixed electroosmotic/pressure driven two immiscible fluids with curved interface
This study is motivated by the need to develop a semi analytical model for predicting the stratified two-fluid flow with a curved interface in a rectangular microchannel under the combined effect of pressure and electroosmosis. With the non-slip boundary conditions at the wall and the matching condi...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2012
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/98060 http://hdl.handle.net/10220/7776 |
| _version_ | 1826129320975794176 |
|---|---|
| author | Li, Haiwang Wong, Teck Neng Nguyen, Nam-Trung |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Li, Haiwang Wong, Teck Neng Nguyen, Nam-Trung |
| author_sort | Li, Haiwang |
| collection | NTU |
| description | This study is motivated by the need to develop a semi analytical model for predicting the stratified two-fluid flow with a curved interface in a rectangular microchannel under the combined effect of pressure and electroosmosis. With the non-slip boundary conditions at the wall and the matching condition at the curved interface, the fully developed Navier-Stokes equation and Poisson-Boltzmann equation are solved using separate variable method. Part of parameters in the distributions of velocity and electric potential is calculated using the least-square method. Details of the analytical treatment of the two-fluid flow with curved interface are presented. The results show that the analysis can be employed for concave, convex and planar interface. The validity of the two-fluid model with curved interface is evaluated by comparing its prediction with available numerical data and with the results of exact analytical solutions for laminar flows with planar interface, comparison of the electric potential distribution and velocity distributions shows excellent agreement with data in the literature. Finally, the effects of interface shape on the electric potential distribution, electroosmotic velocity distribution, and flow rates are discussed, the results show that the interface shape influences the two-fluid flow in microchannel significantly. |
| first_indexed | 2024-10-01T07:38:40Z |
| format | Journal Article |
| id | ntu-10356/98060 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:38:40Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | ntu-10356/980602020-03-07T13:22:17Z Semi-analytical model of mixed electroosmotic/pressure driven two immiscible fluids with curved interface Li, Haiwang Wong, Teck Neng Nguyen, Nam-Trung School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering This study is motivated by the need to develop a semi analytical model for predicting the stratified two-fluid flow with a curved interface in a rectangular microchannel under the combined effect of pressure and electroosmosis. With the non-slip boundary conditions at the wall and the matching condition at the curved interface, the fully developed Navier-Stokes equation and Poisson-Boltzmann equation are solved using separate variable method. Part of parameters in the distributions of velocity and electric potential is calculated using the least-square method. Details of the analytical treatment of the two-fluid flow with curved interface are presented. The results show that the analysis can be employed for concave, convex and planar interface. The validity of the two-fluid model with curved interface is evaluated by comparing its prediction with available numerical data and with the results of exact analytical solutions for laminar flows with planar interface, comparison of the electric potential distribution and velocity distributions shows excellent agreement with data in the literature. Finally, the effects of interface shape on the electric potential distribution, electroosmotic velocity distribution, and flow rates are discussed, the results show that the interface shape influences the two-fluid flow in microchannel significantly. 2012-04-13T00:41:41Z 2019-12-06T19:50:10Z 2012-04-13T00:41:41Z 2019-12-06T19:50:10Z 2011 2011 Journal Article Li, H., Wong, T. N. & Nguyen, N. T. (2011). Semi-Analytical Model of Mixed Electroosmotic/Pressure Driven Two Immiscible Fluids with Curved Interface. Micro and Nanosystems, 3(4), 296-310. 1876-4029 https://hdl.handle.net/10356/98060 http://hdl.handle.net/10220/7776 10.2174/1876402911103040296 163231 en Micro and nanosystems © 2011 Bentham Science Publishers. |
| spellingShingle | DRNTU::Engineering::Mechanical engineering Li, Haiwang Wong, Teck Neng Nguyen, Nam-Trung Semi-analytical model of mixed electroosmotic/pressure driven two immiscible fluids with curved interface |
| title | Semi-analytical model of mixed electroosmotic/pressure driven two immiscible fluids with curved interface |
| title_full | Semi-analytical model of mixed electroosmotic/pressure driven two immiscible fluids with curved interface |
| title_fullStr | Semi-analytical model of mixed electroosmotic/pressure driven two immiscible fluids with curved interface |
| title_full_unstemmed | Semi-analytical model of mixed electroosmotic/pressure driven two immiscible fluids with curved interface |
| title_short | Semi-analytical model of mixed electroosmotic/pressure driven two immiscible fluids with curved interface |
| title_sort | semi analytical model of mixed electroosmotic pressure driven two immiscible fluids with curved interface |
| topic | DRNTU::Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/98060 http://hdl.handle.net/10220/7776 |
| work_keys_str_mv | AT lihaiwang semianalyticalmodelofmixedelectroosmoticpressuredriventwoimmisciblefluidswithcurvedinterface AT wongteckneng semianalyticalmodelofmixedelectroosmoticpressuredriventwoimmisciblefluidswithcurvedinterface AT nguyennamtrung semianalyticalmodelofmixedelectroosmoticpressuredriventwoimmisciblefluidswithcurvedinterface |