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From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers
The “black box” model defines the enhancement, [Formula: see text] the polarization modulus, [Formula: see text] and the intrinsic enhancement, [Formula: see text] without knowing the transport mechanism in the membrane. This study expresses the above-mentioned characteristic parameters, simultaneou...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6409853/ https://www.ncbi.nlm.nih.gov/pubmed/30678068 http://dx.doi.org/10.3390/membranes9020018 |
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author | Nagy, Endre Vitai, Márta |
author_facet | Nagy, Endre Vitai, Márta |
author_sort | Nagy, Endre |
collection | PubMed |
description | The “black box” model defines the enhancement, [Formula: see text] the polarization modulus, [Formula: see text] and the intrinsic enhancement, [Formula: see text] without knowing the transport mechanism in the membrane. This study expresses the above-mentioned characteristic parameters, simultaneously taking into account the mass transport expressions developed for both the polarization and the membrane layers. Two membrane models are studied here, namely a solution-diffusion model characterizing solute transport through a dense membrane and a solution-diffusion plus convection model characterizing transport through a porous membrane due to transmembrane pressure difference. It is shown that the characteristic parameters of the “black box” model (E, [Formula: see text] or [Formula: see text]) can be expressed as a function of the transport parameters and independently from each other using two-layer models. Thus, membrane performance could be predicted by means of the transport parameters. Several figures show how enhancement and the polarization modulus varied as a function of the membrane Peclet number and the solubility coefficient. Enhancement strongly increased up to its maximum value when H > 1, in the case of transport through a porous membrane, whereas its change remained before unity in the case of a dense membrane. When the value of H < 1, the value of E gradually decreased with increasing values of the membrane Peclet number. |
format | Online Article Text |
id | pubmed-6409853 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-64098532019-03-22 From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers Nagy, Endre Vitai, Márta Membranes (Basel) Article The “black box” model defines the enhancement, [Formula: see text] the polarization modulus, [Formula: see text] and the intrinsic enhancement, [Formula: see text] without knowing the transport mechanism in the membrane. This study expresses the above-mentioned characteristic parameters, simultaneously taking into account the mass transport expressions developed for both the polarization and the membrane layers. Two membrane models are studied here, namely a solution-diffusion model characterizing solute transport through a dense membrane and a solution-diffusion plus convection model characterizing transport through a porous membrane due to transmembrane pressure difference. It is shown that the characteristic parameters of the “black box” model (E, [Formula: see text] or [Formula: see text]) can be expressed as a function of the transport parameters and independently from each other using two-layer models. Thus, membrane performance could be predicted by means of the transport parameters. Several figures show how enhancement and the polarization modulus varied as a function of the membrane Peclet number and the solubility coefficient. Enhancement strongly increased up to its maximum value when H > 1, in the case of transport through a porous membrane, whereas its change remained before unity in the case of a dense membrane. When the value of H < 1, the value of E gradually decreased with increasing values of the membrane Peclet number. MDPI 2019-01-23 /pmc/articles/PMC6409853/ /pubmed/30678068 http://dx.doi.org/10.3390/membranes9020018 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Nagy, Endre Vitai, Márta From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers |
title | From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers |
title_full | From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers |
title_fullStr | From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers |
title_full_unstemmed | From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers |
title_short | From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers |
title_sort | from “black box” to a real description of overall mass transport through membrane and boundary layers |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6409853/ https://www.ncbi.nlm.nih.gov/pubmed/30678068 http://dx.doi.org/10.3390/membranes9020018 |
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