Transient Electrophoresis of a Cylindrical Colloidal Particle
We develop the theory of transient electrophoresis of a weakly charged, infinitely long cylindrical colloidal particle under an application of a transverse or tangential step electric field. Transient electrophoretic mobility approaches steady electrophoretic mobility with time. We derive closed-for...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/7/11/342 |
| _version_ | 1797468277197242368 |
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| author | Hiroyuki Ohshima |
| author_facet | Hiroyuki Ohshima |
| author_sort | Hiroyuki Ohshima |
| collection | DOAJ |
| description | We develop the theory of transient electrophoresis of a weakly charged, infinitely long cylindrical colloidal particle under an application of a transverse or tangential step electric field. Transient electrophoretic mobility approaches steady electrophoretic mobility with time. We derive closed-form expressions for the transient electrophoretic mobility of a cylinder without involving numerical inverse Laplace transformations and the corresponding time-dependent transient Henry functions. The transient electrophoretic mobility of an arbitrarily oriented cylinder is also derived. It is shown that in contrast to the case of steady electrophoresis, the transient Henry function of an arbitrarily oriented cylinder at a finite time is significantly smaller than that of a sphere with the same radius and mass density as the cylinder so that a cylinder requires a much longer time to reach its steady mobility than the corresponding sphere. |
| first_indexed | 2024-03-09T19:05:08Z |
| format | Article |
| id | doaj.art-13cc4cbf66244d6e90101bdd4bc0b4d8 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-09T19:05:08Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-13cc4cbf66244d6e90101bdd4bc0b4d82023-11-24T04:38:37ZengMDPI AGFluids2311-55212022-10-0171134210.3390/fluids7110342Transient Electrophoresis of a Cylindrical Colloidal ParticleHiroyuki Ohshima0Faculty of Pharmaceutical Sciences, Tokyo University of Science, 2641 Yamazaki, Noda 278-8510, Chiba, JapanWe develop the theory of transient electrophoresis of a weakly charged, infinitely long cylindrical colloidal particle under an application of a transverse or tangential step electric field. Transient electrophoretic mobility approaches steady electrophoretic mobility with time. We derive closed-form expressions for the transient electrophoretic mobility of a cylinder without involving numerical inverse Laplace transformations and the corresponding time-dependent transient Henry functions. The transient electrophoretic mobility of an arbitrarily oriented cylinder is also derived. It is shown that in contrast to the case of steady electrophoresis, the transient Henry function of an arbitrarily oriented cylinder at a finite time is significantly smaller than that of a sphere with the same radius and mass density as the cylinder so that a cylinder requires a much longer time to reach its steady mobility than the corresponding sphere.https://www.mdpi.com/2311-5521/7/11/342transient electrophoresistransient electrophoretic mobilitycylindrical colloidal particleHenry function |
| spellingShingle | Hiroyuki Ohshima Transient Electrophoresis of a Cylindrical Colloidal Particle Fluids transient electrophoresis transient electrophoretic mobility cylindrical colloidal particle Henry function |
| title | Transient Electrophoresis of a Cylindrical Colloidal Particle |
| title_full | Transient Electrophoresis of a Cylindrical Colloidal Particle |
| title_fullStr | Transient Electrophoresis of a Cylindrical Colloidal Particle |
| title_full_unstemmed | Transient Electrophoresis of a Cylindrical Colloidal Particle |
| title_short | Transient Electrophoresis of a Cylindrical Colloidal Particle |
| title_sort | transient electrophoresis of a cylindrical colloidal particle |
| topic | transient electrophoresis transient electrophoretic mobility cylindrical colloidal particle Henry function |
| url | https://www.mdpi.com/2311-5521/7/11/342 |
| work_keys_str_mv | AT hiroyukiohshima transientelectrophoresisofacylindricalcolloidalparticle |