Modified analysis of permeate flux for ultrafiltration in a solid-rod tubular membrane

Yeh, Ho‐Ming; Chen, Y.F.

doi:10.1016/j.memsci.2004.11.020

Cited by 6 publications

(3 citation statements)

References 11 publications

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“…Chudacek and Fane [ 135 ] were the first authors in publishing a model related to resistance-in-series to predict permeate flux in a stirred-cell, considering a back-diffusion constant and a convective transport tested with colloid matrices such as silica sol and dextran albumin. This model was the origin of several investigations in stirred systems [ 122 , 147 , 152 , 153 ].…”

Section: Theorymentioning

confidence: 99%

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

et al. 2021

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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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Section: Theorymentioning

confidence: 99%

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

et al. 2021

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“…The Hagen-Poiseuille equation is a form of expression of the momentum balance for a case of the laminar flow in capillaries. In can be written for the tubular modules in a form [144]:…”

Section: F13mentioning

confidence: 99%

“…However, usually, the Hagen-Poiseuille equation requires the corrections, for example, considering the concentration polarization and resistances to mass transfer [144,145]. It is rational to use the numeric methods, including the finite element method, for the solution of these models [146].…”

Section: F13mentioning

confidence: 99%

Modern trends in the mathematical simulation of pressure-driven membrane processes

Huliienko

Korniienko

Gatilov³

2020

JES

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The presented article is an attempt to evaluate the progress in the development of the mathematical simulation of the pressure-driven membrane processes. It was considered more than 170 articles devoted to the simulation of reverse osmosis, nanofiltration, ultrafiltration, and microfiltration and the others published between 2000 and 2010 years. Besides the conventional approaches, which include the irreversible thermodynamics, diffusion and pore flow (and models which consider the membrane surface charge for nanofiltration process), the application of the methods the computational fluid dynamics, artificial neural networks, optimization, and economic analysis have been considered. The main trends in this field have been pointed out, and the areas of using approaches under consideration have been determined. The technological problems which have been solved using the mentioned approaches have also been considered. Although the question of the concentration polarization has not been considered separately, it was defined that, in many cases, the sufficiently accurate model cannot be designed without considering this phenomenon. The findings allow evaluating more thoroughly the development of the simulation of pressure-driven membrane processes. Moreover, the review allows choosing the strategy of the simulation of the considered processes. Keywords: membrane, simulation, model, reverse osmosis nanofiltration, ultrafiltration, microfiltration.

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Flux decline along the flow channel in tubular ultrafiltration modules

Nordin

Jönsson

2009

Chemical Engineering Research and Design

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Modified analysis of permeate flux for ultrafiltration in a solid-rod tubular membrane

Cited by 6 publications

References 11 publications

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

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

Modern trends in the mathematical simulation of pressure-driven membrane processes

Flux decline along the flow channel in tubular ultrafiltration modules

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