Water flux dynamics in closed-loop, batch-mode forward osmosis systems

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Water flux dynamics in closed-loop, batch-mode forward osmosis systems. / Gadêlha, Gabriela; Gadelha, Hermes; Hankins, Nicholas.

In: Journal of Membrane Science, Vol. 476, 15.02.2015, p. 457-468.

Research output: Contribution to journalArticle

Harvard

Gadêlha, G, Gadelha, H & Hankins, N 2015, 'Water flux dynamics in closed-loop, batch-mode forward osmosis systems', Journal of Membrane Science, vol. 476, pp. 457-468. https://doi.org/10.1016/j.memsci.2014.11.056

APA

Gadêlha, G., Gadelha, H., & Hankins, N. (2015). Water flux dynamics in closed-loop, batch-mode forward osmosis systems. Journal of Membrane Science, 476, 457-468. https://doi.org/10.1016/j.memsci.2014.11.056

Vancouver

Gadêlha G, Gadelha H, Hankins N. Water flux dynamics in closed-loop, batch-mode forward osmosis systems. Journal of Membrane Science. 2015 Feb 15;476:457-468. https://doi.org/10.1016/j.memsci.2014.11.056

Author

Gadêlha, Gabriela ; Gadelha, Hermes ; Hankins, Nicholas. / Water flux dynamics in closed-loop, batch-mode forward osmosis systems. In: Journal of Membrane Science. 2015 ; Vol. 476. pp. 457-468.

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@article{0708d793807e487187256452973d9213,
title = "Water flux dynamics in closed-loop, batch-mode forward osmosis systems",
abstract = "Although several models have been proposed in the literature for the water flux performance in forward osmosis (FO), the fundamental basis, employing the steady-state approximation, remains unchanged. Yet when empirical studies in FO make use of closed-loop, batch systems, both water and solute transport evolve dynamically in time. In this paper, we consider the water flux dynamics and solute kinetics for a closed-loop FO setup, while accounting for the non-linear coupling between solute back diffusion and water transfer as time evolves. This is achieved via a system of non-linear ordinary differential equations that dictates the coupled dynamics of water and solute transport, written in terms of two important dimensionless parameters: the osmotic Peclet number and the solute permeability. Numerical simulations reveal that the solute concentration at the dense layer, interior to the membrane, is non-monotonic in time, thus introducing a new time dependence on the relationship between the water flux and the solute concentration. Model predictions for the time dependency of the water flux are further verified experimentally using sodium chloride as draw solution. These results indicate that caution is required during model fitting procedures employing the classical steady-state formulation in closed-loop FO systems.",
keywords = "Asymmetric membrane, Closed-loop system, Forward osmosis, Internal concentration polarization, Solute back diffusion",
author = "Gabriela Gad{\^e}lha and Hermes Gadelha and Nicholas Hankins",
year = "2015",
month = "2",
day = "15",
doi = "10.1016/j.memsci.2014.11.056",
language = "English",
volume = "476",
pages = "457--468",
journal = "Journal of Membrane Science",
issn = "0376-7388",
publisher = "Elsevier",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Water flux dynamics in closed-loop, batch-mode forward osmosis systems

AU - Gadêlha, Gabriela

AU - Gadelha, Hermes

AU - Hankins, Nicholas

PY - 2015/2/15

Y1 - 2015/2/15

N2 - Although several models have been proposed in the literature for the water flux performance in forward osmosis (FO), the fundamental basis, employing the steady-state approximation, remains unchanged. Yet when empirical studies in FO make use of closed-loop, batch systems, both water and solute transport evolve dynamically in time. In this paper, we consider the water flux dynamics and solute kinetics for a closed-loop FO setup, while accounting for the non-linear coupling between solute back diffusion and water transfer as time evolves. This is achieved via a system of non-linear ordinary differential equations that dictates the coupled dynamics of water and solute transport, written in terms of two important dimensionless parameters: the osmotic Peclet number and the solute permeability. Numerical simulations reveal that the solute concentration at the dense layer, interior to the membrane, is non-monotonic in time, thus introducing a new time dependence on the relationship between the water flux and the solute concentration. Model predictions for the time dependency of the water flux are further verified experimentally using sodium chloride as draw solution. These results indicate that caution is required during model fitting procedures employing the classical steady-state formulation in closed-loop FO systems.

AB - Although several models have been proposed in the literature for the water flux performance in forward osmosis (FO), the fundamental basis, employing the steady-state approximation, remains unchanged. Yet when empirical studies in FO make use of closed-loop, batch systems, both water and solute transport evolve dynamically in time. In this paper, we consider the water flux dynamics and solute kinetics for a closed-loop FO setup, while accounting for the non-linear coupling between solute back diffusion and water transfer as time evolves. This is achieved via a system of non-linear ordinary differential equations that dictates the coupled dynamics of water and solute transport, written in terms of two important dimensionless parameters: the osmotic Peclet number and the solute permeability. Numerical simulations reveal that the solute concentration at the dense layer, interior to the membrane, is non-monotonic in time, thus introducing a new time dependence on the relationship between the water flux and the solute concentration. Model predictions for the time dependency of the water flux are further verified experimentally using sodium chloride as draw solution. These results indicate that caution is required during model fitting procedures employing the classical steady-state formulation in closed-loop FO systems.

KW - Asymmetric membrane

KW - Closed-loop system

KW - Forward osmosis

KW - Internal concentration polarization

KW - Solute back diffusion

UR - http://www.scopus.com/inward/record.url?scp=84919884564&partnerID=8YFLogxK

U2 - 10.1016/j.memsci.2014.11.056

DO - 10.1016/j.memsci.2014.11.056

M3 - Article

VL - 476

SP - 457

EP - 468

JO - Journal of Membrane Science

JF - Journal of Membrane Science

SN - 0376-7388

ER -