Modelling electrodialysis using the Maxwell-Stefan description

Kraaijeveld, Gerrit; Šumberová, V.; Kuindersma, Siemon; Wesselingh, Hans

doi:10.1016/0923-0467(94)02940-7

Cited by 59 publications

(55 citation statements)

References 6 publications

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“…The details of this model are available in previous studies [23,24,29]. Our numerical implementation of this model was validated with experimental results from Kraaijeveld et al [23,29]. The validation was presented in a previous work [24], and is shown again in Fig.…”

Section: Brackish-water Desalinationmentioning

confidence: 50%

“…In addition, the diffusion coefficients inside the membrane are different than those in the free solution. The details of this model are available in previous studies [23,24,29]. Our numerical implementation of this model was validated with experimental results from Kraaijeveld et al [23,29].…”

Section: Brackish-water Desalinationmentioning

confidence: 71%

“…The details of this model have been laid out in previous studies [23,24], and the major points of the model are summarized in Appendix B.1.…”

Section: Modeling Electrodialysismentioning

confidence: 99%

“…The membranes characterized by Kraaijeveld et al [23] are only appropriate for brackish-water applications, and, as a result, the Maxwell-Stefan-based model is only used to predict the transport of salt and water through the membranes in the brackish-water desalination case. The details of this model have been laid out in previous studies [23,24], and the major points of the model are summarized in Appendix B.1.…”

Section: Modeling Electrodialysismentioning

confidence: 99%

“…Equation B.2 can be rearranged to get the following expression for the Donnan potential: The water concentration inside the membrane and the membrane charge are calculated based on empirical measurements made by Kraaijeveld et al [23]. These are the concentrations used for the calculation of the salt and water fluxes through the membranes.…”

Section: Brackish-water Desalinationmentioning

confidence: 99%

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Optimal design and operation of electrodialysis for brackish-water desalination and for high-salinity brine concentration

et al. 2017

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Electrodialysis (ED) is a desalination technology that has been deployed commercially for decades. However, few studies in the literature have looked at the optimal design and operation of these systems, especially for the concentration of high-salinity brines. In this paper, a set of constraints is defined to allow a fair comparison between different system sizes, designs, and operating conditions. The design and operation of ED are studied for the applications of brackish-water desalination and of high-salinity brine concentration for a fixed system size. The set of variables that determine the power consumption of a fixed-size system is reduced to include only the channel height and the velocity, with all the other design and operation variables depending on these two variables. After studying the minimization of power consumption for a fixed system size, the minimum costs associated with the different system sizes are studied, and the differing trends in brackish-water and high-salinity applications are compared. Finally this paper presents the effect of the cost modeling parameters on the trends of the optimal system size, current density, length, channel height, and velocity for the two applications studied.

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Section: Brackish-water Desalinationmentioning

confidence: 50%

Section: Brackish-water Desalinationmentioning

confidence: 71%

“…The details of this model have been laid out in previous studies [23,24], and the major points of the model are summarized in Appendix B.1.…”

Section: Modeling Electrodialysismentioning

confidence: 99%

Section: Modeling Electrodialysismentioning

confidence: 99%

Section: Brackish-water Desalinationmentioning

confidence: 99%

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Optimal design and operation of electrodialysis for brackish-water desalination and for high-salinity brine concentration

et al. 2017

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Applicability of the linearized theory of the Maxwell–Stefan equations

Weber

Bothe

2016

AIChE Journal

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The present article aims for a better understanding of the applicability of the linearized theory of the Maxwell-Stefan equations for multi-component diffusion. An analysis of the theory's accuracy is performed with respect to the classical two-bulb diffusion experiments by Duncan and Toor, from which the results are transferred to more general scenarios. It is shown that for an accurate linearized theory it is essential to have a quasi-stationary and quasi-one-dimensional flux, and also a so-called reference point. Two examples illustrating the theory's failure in case of unmet prerequisites are presented: a three-bulb configuration and a two-dimensional diffusion case. For the first setup the linearized theory results in negative concentrations, for the second it requires influxes at openings that are actually outlets.

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