Time Evolution Study of the Electric Field Distribution and Charge Density Due to Ion Movement in Salty Water
Desalination and water purification through the ion drift of salted water flow due to an electric field in a duct is perhaps a feasible membrane-free technology. Here, the unsteady modulation of ion drift is treated by employing the Poison–Nernst–Plank (PNP) equations in the linear regime. Based on...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/13/16/2185 |
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| author | Vasileios Bartzis Ioannis E. Sarris |
| author_facet | Vasileios Bartzis Ioannis E. Sarris |
| author_sort | Vasileios Bartzis |
| collection | DOAJ |
| description | Desalination and water purification through the ion drift of salted water flow due to an electric field in a duct is perhaps a feasible membrane-free technology. Here, the unsteady modulation of ion drift is treated by employing the Poison–Nernst–Plank (PNP) equations in the linear regime. Based on the solution of the PNP equations, the closed-form relationships of the charge density, the ion concentration, the electric field distribution and its potential are obtained as a function of position and time. It is found that the duration of the ion drift is of the order of one second or less. Moreover, the credibility of various electrical circuit models is examined and successfully compared with our solution. Then, the closed form of the surface charge density and the potential that are calculated without the linear approximation showed that the compact layer is crucial for the ion confinement near the duct walls. To test this, nonlinear solutions of the PNP equations are obtained, and the limits of accuracy of the linear theory is discussed. Our results indicate that the linear approximation gives accurate results only at the fluid’s bulk but not inside the double layer. Finally, the important issue of electric field diminishing at the fluid’s bulk is discussed, and a potential method to overcome this is proposed. |
| first_indexed | 2024-03-10T08:17:19Z |
| format | Article |
| id | doaj.art-25fa6bb6a72c4c34aabd53dfedc60efd |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-10T08:17:19Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-25fa6bb6a72c4c34aabd53dfedc60efd2023-11-22T10:13:53ZengMDPI AGWater2073-44412021-08-011316218510.3390/w13162185Time Evolution Study of the Electric Field Distribution and Charge Density Due to Ion Movement in Salty WaterVasileios Bartzis0Ioannis E. Sarris1Department of Food Science and Technology, Faculty of Food Science, Campus Alsos Egaleo, University of West Attica, Ag. Spyridonos 28, 12243 Athens, GreeceDepartment of Mechanical Engineering, University of West Attica, 12244 Athens, GreeceDesalination and water purification through the ion drift of salted water flow due to an electric field in a duct is perhaps a feasible membrane-free technology. Here, the unsteady modulation of ion drift is treated by employing the Poison–Nernst–Plank (PNP) equations in the linear regime. Based on the solution of the PNP equations, the closed-form relationships of the charge density, the ion concentration, the electric field distribution and its potential are obtained as a function of position and time. It is found that the duration of the ion drift is of the order of one second or less. Moreover, the credibility of various electrical circuit models is examined and successfully compared with our solution. Then, the closed form of the surface charge density and the potential that are calculated without the linear approximation showed that the compact layer is crucial for the ion confinement near the duct walls. To test this, nonlinear solutions of the PNP equations are obtained, and the limits of accuracy of the linear theory is discussed. Our results indicate that the linear approximation gives accurate results only at the fluid’s bulk but not inside the double layer. Finally, the important issue of electric field diminishing at the fluid’s bulk is discussed, and a potential method to overcome this is proposed.https://www.mdpi.com/2073-4441/13/16/2185electric fieldsalt ion driftwater duct flowdiffuse layer thickness |
| spellingShingle | Vasileios Bartzis Ioannis E. Sarris Time Evolution Study of the Electric Field Distribution and Charge Density Due to Ion Movement in Salty Water Water electric field salt ion drift water duct flow diffuse layer thickness |
| title | Time Evolution Study of the Electric Field Distribution and Charge Density Due to Ion Movement in Salty Water |
| title_full | Time Evolution Study of the Electric Field Distribution and Charge Density Due to Ion Movement in Salty Water |
| title_fullStr | Time Evolution Study of the Electric Field Distribution and Charge Density Due to Ion Movement in Salty Water |
| title_full_unstemmed | Time Evolution Study of the Electric Field Distribution and Charge Density Due to Ion Movement in Salty Water |
| title_short | Time Evolution Study of the Electric Field Distribution and Charge Density Due to Ion Movement in Salty Water |
| title_sort | time evolution study of the electric field distribution and charge density due to ion movement in salty water |
| topic | electric field salt ion drift water duct flow diffuse layer thickness |
| url | https://www.mdpi.com/2073-4441/13/16/2185 |
| work_keys_str_mv | AT vasileiosbartzis timeevolutionstudyoftheelectricfielddistributionandchargedensityduetoionmovementinsaltywater AT ioannisesarris timeevolutionstudyoftheelectricfielddistributionandchargedensityduetoionmovementinsaltywater |