Influence of osmosis on the diffusion from concentrated solutions through composite/asymmetric membranes: Theoretical analysis

Yaroshchuk, Andriy

doi:10.1016/j.memsci.2010.03.013

Cited by 14 publications

(12 citation statements)

References 20 publications

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“…which is the well-known result obtained for ideally-semi-permeable barrier layers20. From equation (15) we can obtain this inverse relationship between the Péclet number in the support (or any other parameter directly proportional to the trans-membrane volume flow) and the driving force of the process (parameter F ).…”

Section: Methodssupporting

confidence: 68%

“Breakthrough” osmosis and unusually high power densities in Pressure-Retarded Osmosis in non-ideally semi-permeable supported membranes

Yaroshchuk

2017

Sci Rep

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Osmosis is the movement of solvent across a membrane induced by a solute-concentration gradient. It is very important for cell biology. Recently, it has started finding technological applications in the emerging processes of Forward Osmosis and Pressure-Retarded Osmosis. They use ultrathin and dense membranes supported mechanically by much thicker porous layers. Until now, these processes have been modelled by assuming the membrane to be ideally-semipermeable. We show theoretically that allowing for even minor deviations from ideal semipermeability to solvent can give rise to a previously overlooked mode of “breakthrough” osmosis. Here the rate of osmosis is very large (compared to the conventional mode) and practically unaffected by the so-called Internal Concentration Polarization. In Pressure-Retarded Osmosis, the power densities can easily exceed the conventional mode by one order of magnitude. Much more robust support layers can be used, which is an important technical advantage (reduced membrane damage) in Pressure-Retarded Osmosis.

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Section: Methodssupporting

confidence: 68%

“Breakthrough” osmosis and unusually high power densities in Pressure-Retarded Osmosis in non-ideally semi-permeable supported membranes

Yaroshchuk

2017

Sci Rep

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“…To design membranes for various FO processes, it is important to understand critical structure-performance relationships, especially with respect to mass transfer. This has led to a number of theoretical transport models to predict osmotic water flux coupled with reverse salt flux across FO membranes [21,23,[38][39][40][41][42][43][44][45][46][47][48][49][50]. Many of these models have been used to predict the severity of concentration polarization (CP), a mass transfer phenomenon that reduces osmotic driving force.…”

Section: Introductionmentioning

confidence: 99%

Proper accounting of mass transfer resistances in forward osmosis: Improving the accuracy of model predictions of structural parameter

Bui

Arena

McCutcheon

2015

Journal of Membrane Science

162

118

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This work demonstrates a more accurate method for calculating structural parameter (S) of asymmetric osmotic membranes using experimental data and a theoretical flux model which encapsulates all significant boundary layer phenomena. External boundary layer effects on the porous side of the membrane have been neglected in many current models. In these models, external concentration polarization (ECP) effects get combined with the internal concentration polarization (ICP), resulting in inflated S values. In this study, we proposed a new flux model in which ECP effects are accounted for so that S can be more accurately measured. This model considered the in-series resistances for solute transport based on intrinsic properties of the membrane as well as boundary layers at membrane surfaces and within the support layer. The results indicate that ICP is less severe than previously predicted and that cross-flow velocity, temperature and concentration of the draw and the feed solutions impact both external and internal concentration polarization. Our calculations also surprisingly show that changes in cross-flow velocity impact internal concentration polarization due to induced mixing within the support layer. Also, we suggest that it is critical to consider the "residence time" of solutes in the vicinity of the selective layer in determining the membrane selectivity.

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“…In the period under consideration, this model was applied to the description of the RO process for both water solutions [23][24][25] and organic systems [21,22]. Also, it has been used for the development of hybrid models [26] and the theoretical analysis of the mass transfer through the membrane [27]. Furthermore, the modifications of the solution-diffusion model were proposed.…”

Section: Diffusion Based Modelsmentioning

confidence: 99%

“…Furthermore, the modifications of the solution-diffusion model were proposed. They consider the concentration polarization [24], the sorption equilibrium between membrane material and organic matter [22], and nonlinear relationships among the mass transfer coefficient and the operation parameters of the process [26,27].…”

Section: Diffusion Based Modelsmentioning

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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Influence of osmosis on the diffusion from concentrated solutions through composite/asymmetric membranes: Theoretical analysis

Cited by 14 publications

References 20 publications

“Breakthrough” osmosis and unusually high power densities in Pressure-Retarded Osmosis in non-ideally semi-permeable supported membranes

“Breakthrough” osmosis and unusually high power densities in Pressure-Retarded Osmosis in non-ideally semi-permeable supported membranes

Proper accounting of mass transfer resistances in forward osmosis: Improving the accuracy of model predictions of structural parameter

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

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