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Posted:
6 years ago
17.12.2018, 06:04 GMT-5
I have tried to model an ion-exchange membrane with very little of success. The problem is the fixed charges in the membrane. Only with relatively low fixed charge density I have managed to find a solution. Then I made a model using the Nernst-Planck equation only, and put for the mobility of the fixed charge a negligible value (not zero) of 1e-60. Then I got a result but I would not bet my life on it...
We have a published a book "Ionic Transport Processes"
https://global.oup.com/academic/product/ionic-transport-processes-9780198719991?cc=fi&lang=en&
where the problem is treated explicitly. It requires solving a transcendental equation. But assuming a perfect ion-exchange membrane, the transport number of the counter ion is 1 and that of co-ion zero. That simplifies the analysis hugely, and an analytical solution can be reached.
BR
Lasse Murtomäki
I have tried to model an ion-exchange membrane with very little of success. The problem is the fixed charges in the membrane. Only with relatively low fixed charge density I have managed to find a solution. Then I made a model using the Nernst-Planck equation only, and put for the mobility of the fixed charge a negligible value (not zero) of 1e-60. Then I got a result but I would not bet my life on it...
We have a published a book "Ionic Transport Processes"
https://global.oup.com/academic/product/ionic-transport-processes-9780198719991?cc=fi&lang=en&
where the problem is treated explicitly. It requires solving a transcendental equation. But assuming a perfect ion-exchange membrane, the transport number of the counter ion is 1 and that of co-ion zero. That simplifies the analysis hugely, and an analytical solution can be reached.
BR
Lasse Murtomäki
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Posted:
6 years ago
17.12.2018, 06:12 GMT-5
https://global.oup.com/academic/product/ionic-transport-processes-9780198719991?cc=fi&lang=en&
thank you very much ,I'll go back and read the book you mentioned
>https://global.oup.com/academic/product/ionic-transport-processes-9780198719991?cc=fi&lang=en&
thank you very much ,I'll go back and read the book you mentioned