Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in Membrane
One of the most important formalisms used to describe membrane transport is Onsager–Peusner thermodynamics (TOP). Within the TOP framework, a procedure has been developed for the transformation of the Kedem–Katchalsky (K–K) equations for the transport of binary electrolytic solutions across a membra...
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MDPI AG
2025-01-01
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| Series: | Membranes |
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| author | Andrzej Ślęzak Sławomir M. Grzegorczyn |
| author_facet | Andrzej Ślęzak Sławomir M. Grzegorczyn |
| author_sort | Andrzej Ślęzak |
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| description | One of the most important formalisms used to describe membrane transport is Onsager–Peusner thermodynamics (TOP). Within the TOP framework, a procedure has been developed for the transformation of the Kedem–Katchalsky (K–K) equations for the transport of binary electrolytic solutions across a membrane into the Kedem–Katchalsky–Peusner (K–K–P) equations. The membrane system with an Ultra Flo 145 Dialyser membrane used for hemodialysis and aqueous NaCl solutions was used as experimental setup. The H version of K–K–P formalism for binary electrolyte solutions was used to evaluate theoretical coefficients characterizing fluxes of energies and efficiencies for membrane transport processes. The coupling coefficients of membrane processes and the dissipative energy flux were calculated on the basis of the Peusner coefficients obtained from transformation of K–K coefficients. The knowledge of dissipative energy flux, which is a function of thermodynamic forces, allows for the determination of the energy conversions during transport processes in a membrane system. In addition, a frictional interpretation of the obtained coefficients is presented. |
| format | Article |
| id | doaj-art-7ed652f55c8c4099a4154a175c71714c |
| institution | Kabale University |
| issn | 2077-0375 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Membranes |
| spelling | doaj-art-7ed652f55c8c4099a4154a175c71714c2025-01-24T13:41:06ZengMDPI AGMembranes2077-03752025-01-011513610.3390/membranes15010036Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in MembraneAndrzej Ślęzak0Sławomir M. Grzegorczyn1Department of Health Sciences and Physiotherapy, Collegium Medicum, Jan Dlugosz University, 13/15 Armia Krajowa Al., 42-200 Częstochowa, PolandDepartment of Biophysics, Faculty of Medical Sciences in Zabrze, Medical University of Silesia, 19 H. Jordan Str., 41-808 Zabrze, PolandOne of the most important formalisms used to describe membrane transport is Onsager–Peusner thermodynamics (TOP). Within the TOP framework, a procedure has been developed for the transformation of the Kedem–Katchalsky (K–K) equations for the transport of binary electrolytic solutions across a membrane into the Kedem–Katchalsky–Peusner (K–K–P) equations. The membrane system with an Ultra Flo 145 Dialyser membrane used for hemodialysis and aqueous NaCl solutions was used as experimental setup. The H version of K–K–P formalism for binary electrolyte solutions was used to evaluate theoretical coefficients characterizing fluxes of energies and efficiencies for membrane transport processes. The coupling coefficients of membrane processes and the dissipative energy flux were calculated on the basis of the Peusner coefficients obtained from transformation of K–K coefficients. The knowledge of dissipative energy flux, which is a function of thermodynamic forces, allows for the determination of the energy conversions during transport processes in a membrane system. In addition, a frictional interpretation of the obtained coefficients is presented.https://www.mdpi.com/2077-0375/15/1/36membrane transportKedem–Katchalsky–Peusner equationspolymeric membranePeusner transport coefficientsinternal energy conversion<i>S</i>-entropy |
| spellingShingle | Andrzej Ślęzak Sławomir M. Grzegorczyn Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in Membrane Membranes membrane transport Kedem–Katchalsky–Peusner equations polymeric membrane Peusner transport coefficients internal energy conversion <i>S</i>-entropy |
| title | Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in Membrane |
| title_full | Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in Membrane |
| title_fullStr | Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in Membrane |
| title_full_unstemmed | Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in Membrane |
| title_short | Hybrid Version of the Kedem–Katchalsky–Peusner Equations for Diffusive and Electrical Transport Processes in Membrane |
| title_sort | hybrid version of the kedem katchalsky peusner equations for diffusive and electrical transport processes in membrane |
| topic | membrane transport Kedem–Katchalsky–Peusner equations polymeric membrane Peusner transport coefficients internal energy conversion <i>S</i>-entropy |
| url | https://www.mdpi.com/2077-0375/15/1/36 |
| work_keys_str_mv | AT andrzejslezak hybridversionofthekedemkatchalskypeusnerequationsfordiffusiveandelectricaltransportprocessesinmembrane AT sławomirmgrzegorczyn hybridversionofthekedemkatchalskypeusnerequationsfordiffusiveandelectricaltransportprocessesinmembrane |