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A Mathematical Model of Multiple Ion Transport Across the Ion‐Selective Membrane under Current Load Conditions
Author(s) -
Bouzek K.,
Fíla V.,
Bímová K.,
Samec Z.
Publication year - 2001
Publication title -
chemie ingenieur technik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.365
H-Index - 36
eISSN - 1522-2640
pISSN - 0009-286X
DOI - 10.1002/1522-2640(200106)73:6<757::aid-cite7572222>3.0.co;2-0
Subject(s) - czech , chemical technology , chemistry , library science , engineering physics , engineering , computer science , philosophy , manufacturing engineering , linguistics
A macrohomogeneous mathematical model of the simultaneous transport of multiple ions across an ion exchange membrane based on the Nernst–Planck equation was developed. Schlögl’s equation of motion was used to evaluate the convective term of the mass-transfer inside the membrane. The model accounts for the external diffusion of the ions through the Nernst diffusion layer to the phase boundary on both sides of the membrane. Donnan equilibrium is used to describe the potential and the concentration discontinuity on the membrane-solution interface. The results document the importance of the external diffusion layers for ion transport across the membrane.