Coupled model of concentration polarization and pore transport in crossflow nanofiltration

Bhattacharjee, Subir; Chen, Jim C.; Elimelech, Menachem

doi:10.1002/aic.690471213

Cited by 113 publications

(78 citation statements)

References 32 publications

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“…The reflection coefficient represents the intrinsic salt rejection by the membrane. For the RO separations, s was >0.98 and may be assumed equal to unity [15]. When intrinsic electrolyte rejection was significantly less than 0.98 (i.e.…”

Section: Membrane Permeate Fluxmentioning

confidence: 99%

The removal of reactive dye printing compounds using nanofiltration

et al. 2007

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Section: Membrane Permeate Fluxmentioning

confidence: 99%

The removal of reactive dye printing compounds using nanofiltration

et al. 2007

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“…Second, the transport is modeled monodimensionally, and the heterogeneity along the membrane is thus not described (i.e., axial convective transport is fully neglected). The second approach available in literature is based on a two-dimensional (2-D) study state mass balance in the flow, but this way is appropriate only for pure salt mixtures by considering a mean salt diffusivity (Bhattacharjee et al, 17 Pak et al 18 ). The pore and polarization transport model (PPTM) presented in this article is a combination of these two approaches.…”

Section: Introductionmentioning

confidence: 99%

The two‐dimensional pore and polarization transport model to describe mixtures separation by nanofiltration: Model validation

et al. 2011

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Nanofiltration is a membrane process which is used to separate charged molecules such as ions. Even if this process is well known, there is no mean to predict the performances of a given separation. The aim of this paper is to present a two-dimensional model called ''pore and polarization transport model'' which includes all the steps of the ions transfer. The membrane transport modeling is based on the classical onedimensional vision coupling the Donnan, steric, and dielectric exclusions with the extended Nernst-Planck transport equation. But the originality of this study comes from the modeling of the transport through the polarization layer. The model used in this study is an improvement of the previous version, which includes an electrical gradient within the polarization layer allowing the prediction of polarization layer establishment even for ionic mixtures. The purpose of this article is to describe the model accurately before validating it with various ionic solutions. V V C 2010 American Institute of Chemical Engineers AIChE J, 57: [985][986][987][988][989][990][991][992][993][994][995] 2011

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“…The fitting of experimental rejection data to this model allowed obtaining such membrane parameters as pore radius, volume charge density, and effective membrane thickness [9]. The effect of concentration polarization on salt rejection was investigated in [10] by coupling the DSPM model with convection-diffusion equations in the boundary layer adjacent to the membrane. The influence of dielectric effects on ion rejection in nanofiltration membranes was actively studied in recent decades [11].…”

Section: Introductionmentioning

confidence: 99%