Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model
The conductivity of highly charged membranes is nearly constant, due to counterions screening pore surfaces. Weakly charged porous media, or “leaky membranes,” also contain a significant concentration of coions, whose depletion at high current leads to ion concentration polarization and conductivity...
| Κύριοι συγγραφείς: | , |
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| Άλλοι συγγραφείς: | |
| Μορφή: | Άρθρο |
| Γλώσσα: | en_US |
| Έκδοση: |
Wiley Blackwell
2014
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| Διαθέσιμο Online: | http://hdl.handle.net/1721.1/91566 |
| _version_ | 1826206216332771328 |
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| author | Dydek, E. Victoria Bazant, Martin Z. |
| author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Dydek, E. Victoria Bazant, Martin Z. |
| author_sort | Dydek, E. Victoria |
| collection | MIT |
| description | The conductivity of highly charged membranes is nearly constant, due to counterions screening pore surfaces. Weakly charged porous media, or “leaky membranes,” also contain a significant concentration of coions, whose depletion at high current leads to ion concentration polarization and conductivity shock waves. To describe these nonlinear phenomena in the absence of electro-osmotic flow, a simple leaky membrane model is formulated, based on macroscopic electroneutrality and Nernst–Planck ionic fluxes. The model is solved in cases of unsupported binary electrolytes: steady conduction from a reservoir to a cation-selective surface, transient response to a current step, steady conduction to a flow-through porous electrode, and steady conduction between cation-selective surfaces in cross flow. The last problem is motivated by separations in leaky membranes, such as shock electrodialysis. The article begins with a tribute to Neal Amundson, whose pioneering work on shock waves in chromatography involved similar mathematics. |
| first_indexed | 2024-09-23T13:25:37Z |
| format | Article |
| id | mit-1721.1/91566 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:25:37Z |
| publishDate | 2014 |
| publisher | Wiley Blackwell |
| record_format | dspace |
| spelling | mit-1721.1/915662022-09-28T14:07:20Z Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model Dydek, E. Victoria Bazant, Martin Z. Massachusetts Institute of Technology. Department of Chemical Engineering Massachusetts Institute of Technology. Department of Mathematics Dydek, E. Victoria Bazant, Martin Z. The conductivity of highly charged membranes is nearly constant, due to counterions screening pore surfaces. Weakly charged porous media, or “leaky membranes,” also contain a significant concentration of coions, whose depletion at high current leads to ion concentration polarization and conductivity shock waves. To describe these nonlinear phenomena in the absence of electro-osmotic flow, a simple leaky membrane model is formulated, based on macroscopic electroneutrality and Nernst–Planck ionic fluxes. The model is solved in cases of unsupported binary electrolytes: steady conduction from a reservoir to a cation-selective surface, transient response to a current step, steady conduction to a flow-through porous electrode, and steady conduction between cation-selective surfaces in cross flow. The last problem is motivated by separations in leaky membranes, such as shock electrodialysis. The article begins with a tribute to Neal Amundson, whose pioneering work on shock waves in chromatography involved similar mathematics. 2014-11-14T16:12:38Z 2014-11-14T16:12:38Z 2013-08 2013-07 Article http://purl.org/eprint/type/JournalArticle 00011541 1547-5905 http://hdl.handle.net/1721.1/91566 Dydek, E. Victoria, and Martin Z. Bazant. “Nonlinear Dynamics of Ion Concentration Polarization in Porous Media: The Leaky Membrane Model.” AIChE Journal 59, no. 9 (August 8, 2013): 3539–3555. en_US http://dx.doi.org/10.1002/aic.14200 AIChE Journal Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Wiley Blackwell arXiv |
| spellingShingle | Dydek, E. Victoria Bazant, Martin Z. Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model |
| title | Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model |
| title_full | Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model |
| title_fullStr | Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model |
| title_full_unstemmed | Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model |
| title_short | Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model |
| title_sort | nonlinear dynamics of ion concentration polarization in porous media the leaky membrane model |
| url | http://hdl.handle.net/1721.1/91566 |
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