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Prediction of Permeate Flux in Ultrafiltration Processes: A Review of Modeling Approaches

In any membrane filtration, the prediction of permeate flux is critical to calculate the membrane surface required, which is an essential parameter for scaling-up, equipment sizing, and cost determination. For this reason, several models based on phenomenological or theoretical derivation (such as g...

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Autores principales: Quezada, Carolina, Estay, Humberto, Cassano, Alfredo, Troncoso, Elizabeth, Ruby-Figueroa, René
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8158366/
https://www.ncbi.nlm.nih.gov/pubmed/34070146
http://dx.doi.org/10.3390/membranes11050368
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author Quezada, Carolina
Estay, Humberto
Cassano, Alfredo
Troncoso, Elizabeth
Ruby-Figueroa, René
author_facet Quezada, Carolina
Estay, Humberto
Cassano, Alfredo
Troncoso, Elizabeth
Ruby-Figueroa, René
author_sort Quezada, Carolina
collection PubMed
description In any membrane filtration, the prediction of permeate flux is critical to calculate the membrane surface required, which is an essential parameter for scaling-up, equipment sizing, and cost determination. For this reason, several models based on phenomenological or theoretical derivation (such as gel-polarization, osmotic pressure, resistance-in-series, and fouling models) and non-phenomenological models have been developed and widely used to describe the limiting phenomena as well as to predict the permeate flux. In general, the development of models or their modifications is done for a particular synthetic model solution and membrane system that shows a good capacity of prediction. However, in more complex matrices, such as fruit juices, those models might not have the same performance. In this context, the present work shows a review of different phenomenological and non-phenomenological models for permeate flux prediction in UF, and a comparison, between selected models, of the permeate flux predictive capacity. Selected models were tested with data from our previous work reported for three fruit juices (bergamot, kiwi, and pomegranate) processed in a cross-flow system for 10 h. The validation of each selected model’s capacity of prediction was performed through a robust statistical examination, including a residual analysis. The results obtained, within the statistically validated models, showed that phenomenological models present a high variability of prediction (values of R-square in the range of 75.91–99.78%), Mean Absolute Percentage Error (MAPE) in the range of 3.14–51.69, and Root Mean Square Error (RMSE) in the range of 0.22–2.01 among the investigated juices. The non-phenomenological models showed a great capacity to predict permeate flux with R-squares higher than 97% and lower MAPE (0.25–2.03) and RMSE (3.74–28.91). Even though the estimated parameters have no physical meaning and do not shed light into the fundamental mechanistic principles that govern these processes, these results suggest that non-phenomenological models are a useful tool from a practical point of view to predict the permeate flux, under defined operating conditions, in membrane separation processes. However, the phenomenological models are still a proper tool for scaling-up and for an understanding the UF process.
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spelling pubmed-81583662021-05-28 Prediction of Permeate Flux in Ultrafiltration Processes: A Review of Modeling Approaches Quezada, Carolina Estay, Humberto Cassano, Alfredo Troncoso, Elizabeth Ruby-Figueroa, René Membranes (Basel) Review In any membrane filtration, the prediction of permeate flux is critical to calculate the membrane surface required, which is an essential parameter for scaling-up, equipment sizing, and cost determination. For this reason, several models based on phenomenological or theoretical derivation (such as gel-polarization, osmotic pressure, resistance-in-series, and fouling models) and non-phenomenological models have been developed and widely used to describe the limiting phenomena as well as to predict the permeate flux. In general, the development of models or their modifications is done for a particular synthetic model solution and membrane system that shows a good capacity of prediction. However, in more complex matrices, such as fruit juices, those models might not have the same performance. In this context, the present work shows a review of different phenomenological and non-phenomenological models for permeate flux prediction in UF, and a comparison, between selected models, of the permeate flux predictive capacity. Selected models were tested with data from our previous work reported for three fruit juices (bergamot, kiwi, and pomegranate) processed in a cross-flow system for 10 h. The validation of each selected model’s capacity of prediction was performed through a robust statistical examination, including a residual analysis. The results obtained, within the statistically validated models, showed that phenomenological models present a high variability of prediction (values of R-square in the range of 75.91–99.78%), Mean Absolute Percentage Error (MAPE) in the range of 3.14–51.69, and Root Mean Square Error (RMSE) in the range of 0.22–2.01 among the investigated juices. The non-phenomenological models showed a great capacity to predict permeate flux with R-squares higher than 97% and lower MAPE (0.25–2.03) and RMSE (3.74–28.91). Even though the estimated parameters have no physical meaning and do not shed light into the fundamental mechanistic principles that govern these processes, these results suggest that non-phenomenological models are a useful tool from a practical point of view to predict the permeate flux, under defined operating conditions, in membrane separation processes. However, the phenomenological models are still a proper tool for scaling-up and for an understanding the UF process. MDPI 2021-05-18 /pmc/articles/PMC8158366/ /pubmed/34070146 http://dx.doi.org/10.3390/membranes11050368 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Review
Quezada, Carolina
Estay, Humberto
Cassano, Alfredo
Troncoso, Elizabeth
Ruby-Figueroa, René
Prediction of Permeate Flux in Ultrafiltration Processes: A Review of Modeling Approaches
title Prediction of Permeate Flux in Ultrafiltration Processes: A Review of Modeling Approaches
title_full Prediction of Permeate Flux in Ultrafiltration Processes: A Review of Modeling Approaches
title_fullStr Prediction of Permeate Flux in Ultrafiltration Processes: A Review of Modeling Approaches
title_full_unstemmed Prediction of Permeate Flux in Ultrafiltration Processes: A Review of Modeling Approaches
title_short Prediction of Permeate Flux in Ultrafiltration Processes: A Review of Modeling Approaches
title_sort prediction of permeate flux in ultrafiltration processes: a review of modeling approaches
topic Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8158366/
https://www.ncbi.nlm.nih.gov/pubmed/34070146
http://dx.doi.org/10.3390/membranes11050368
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