Interaction between two spheres under a uniform electric field in a porous medium
We present a systematic procedure to analyze the interaction between two spheres under a uniform electric field in a porous medium. We solve Laplace's equation in bispherical coordinates to obtain electric potential distribution. Such electric potential is utilized to obtain the slip velocities...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2022
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| Online Access: | https://hdl.handle.net/10356/159964 |
| _version_ | 1811677685791850496 |
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| author | Yao, Xin Marcos |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Yao, Xin Marcos |
| author_sort | Yao, Xin |
| collection | NTU |
| description | We present a systematic procedure to analyze the interaction between two spheres under a uniform electric field in a porous medium. We solve Laplace's equation in bispherical coordinates to obtain electric potential distribution. Such electric potential is utilized to obtain the slip velocities on the two spheres and the flow field around them is solved based on stream function. The solution is solved semi-analytically by considering geometric and electric parameters. The detailed flow field in the vicinity of the two spheres is investigated and our results reveal that the sphere interaction is dependent on the separation distance, sphere radii, zeta potential and normalized radius with respect to permeability. The increase of normalized radius with respect to permeability reduces the interaction between the two spheres. This is particularly prominent when normalized radius with respect to permeability is relatively small (αa<50). |
| first_indexed | 2024-10-01T02:41:18Z |
| format | Journal Article |
| id | ntu-10356/159964 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:41:18Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1599642022-07-07T01:52:17Z Interaction between two spheres under a uniform electric field in a porous medium Yao, Xin Marcos School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Porous Medium Electric Field Stokesian Dynamics We present a systematic procedure to analyze the interaction between two spheres under a uniform electric field in a porous medium. We solve Laplace's equation in bispherical coordinates to obtain electric potential distribution. Such electric potential is utilized to obtain the slip velocities on the two spheres and the flow field around them is solved based on stream function. The solution is solved semi-analytically by considering geometric and electric parameters. The detailed flow field in the vicinity of the two spheres is investigated and our results reveal that the sphere interaction is dependent on the separation distance, sphere radii, zeta potential and normalized radius with respect to permeability. The increase of normalized radius with respect to permeability reduces the interaction between the two spheres. This is particularly prominent when normalized radius with respect to permeability is relatively small (αa<50). Ministry of Education (MOE) Submitted/Accepted version This research is supported by the Ministry of Education, Singapore, under its Academic Research Fund Tier 1 RG83/19(S) and RG187/17(S). 2022-07-07T01:52:17Z 2022-07-07T01:52:17Z 2021 Journal Article Yao, X. & Marcos (2021). Interaction between two spheres under a uniform electric field in a porous medium. Chemical Engineering Science, 231, 116254-. https://dx.doi.org/10.1016/j.ces.2020.116254 0009-2509 https://hdl.handle.net/10356/159964 10.1016/j.ces.2020.116254 2-s2.0-85095842017 231 116254 en RG83/19(S) RG187/17(S) Chemical Engineering Science © 2020 Elsevier Ltd. All rights reserved. This paper was published in Chemical Engineering Science and is made available with permission of Elsevier Ltd. application/pdf |
| spellingShingle | Engineering::Mechanical engineering Porous Medium Electric Field Stokesian Dynamics Yao, Xin Marcos Interaction between two spheres under a uniform electric field in a porous medium |
| title | Interaction between two spheres under a uniform electric field in a porous medium |
| title_full | Interaction between two spheres under a uniform electric field in a porous medium |
| title_fullStr | Interaction between two spheres under a uniform electric field in a porous medium |
| title_full_unstemmed | Interaction between two spheres under a uniform electric field in a porous medium |
| title_short | Interaction between two spheres under a uniform electric field in a porous medium |
| title_sort | interaction between two spheres under a uniform electric field in a porous medium |
| topic | Engineering::Mechanical engineering Porous Medium Electric Field Stokesian Dynamics |
| url | https://hdl.handle.net/10356/159964 |
| work_keys_str_mv | AT yaoxin interactionbetweentwospheresunderauniformelectricfieldinaporousmedium AT marcos interactionbetweentwospheresunderauniformelectricfieldinaporousmedium |