Predictions of effective diffusivity of mixed matrix membranes with tubular fillers

Wang, Tung‐ping; Kang, Dun‐Yen

doi:10.1016/j.memsci.2015.03.028

Cited by 20 publications

(26 citation statements)

References 56 publications

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“…D eff was shown to monotonically increase with the filler volume fraction (Φ f ) and diffusivity of the filler (D f ). This trend is similar to that reported for MMMs with spherical and/or tubular fillers [50,60,61]. In simulations where D f,out /D m was fixed at 10 2 (Fig.…”

Section: Resultssupporting

confidence: 87%

“…For example, significant disagreements have been observed between experiment measurements and the predictions of D eff by the Cussler model when dealing with MMMs comprising cellulose acetate as a matrix and AMH-3 as a filler [54]. Numerical methods based on mass transport simulations have been developed to address this issue [55][56][57][58][59][60][61]. In the case of MMMs with layered fillers, numerical methods have been developed to investigate the effects of aspect ratio [58], filler shape (e.g., circular, square, hexagonal) [59], and filler orientation [55][56][57] on the D eff of MMMs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Highly selective mixed-matrix membranes with layered fillers for molecular separation

Wang¹,

Kang²

2016

Journal of Membrane Science

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Section: Resultssupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Highly selective mixed-matrix membranes with layered fillers for molecular separation

Wang¹,

Kang²

2016

Journal of Membrane Science

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“…The SMA offers several benefits in comparison to earlier RMA and EMA approaches, amongst which the main advantage is that this approach can easily incorporate the permeability dependence on the concentration field [153] and finite-system size effects [151], largely disregarded in the former approaches. In this way, the SMA can accommodate effects on the permeability of intrinsic system properties such filler particle size [151] and shape [171,172], isotherm nonlinearity [153], and membrane geometry [152,169]. These effects are empirically treated in most RMA/EMA models [20], such in the Ebneyamini [68], Higuchi [88], and Pal [65] models.…”

Section: Simulation-based Rigorous Modeling Approachmentioning

confidence: 99%

Modeling Permeation through Mixed-Matrix Membranes: A Review

Monsalve-Bravo

Bhatia

2018

Processes

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Over the past three decades, mixed-matrix membranes (MMMs), comprising an inorganic filler phase embedded in a polymer matrix, have emerged as a promising alternative to overcome limitations of conventional polymer and inorganic membranes. However, while much effort has been devoted to MMMs in practice, their modeling is largely based on early theories for transport in composites. These theories consider uniform transport properties and driving force, and thus models for the permeability in MMMs often perform unsatisfactorily when compared to experimental permeation data. In this work, we review existing theories for permeation in MMMs and discuss their fundamental assumptions and limitations with the aim of providing future directions permitting new models to consider realistic MMM operating conditions. Furthermore, we compare predictions of popular permeation models against available experimental and simulation-based permeation data, and discuss the suitability of these models for predicting MMM permeability under typical operating conditions.

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“…Although much effort has been devoted to the improvement of EMT models, their limitations have prompted researchers to explore more accurate approaches such as the detailed simulation of MMMs [15,[55][56][57], in which the coupled 3d transport equations for the transport in the filler particles and in the surrounding polymer matrix are simultaneously solved using the finite element method (FEM). Such detailed 3d simulation overcomes limitations of EMT models in the estimation of the effective permeability, particularly the effect of particle size and the interfacial adsorption equilibrium [5].…”

Section: ✗ ✓ ✓mentioning

confidence: 99%

Extending effective medium theory to finite size systems: Theory and simulation for permeation in mixed-matrix membranes

Monsalve-Bravo

Bhatia

2017

Journal of Membrane Science

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We present a novel theory for estimation of the effective permeability of pure gases in flat mixed-matrix membranes (MMMs), in which effective medium theory (EMT) is extended to systems with finite filler size and membrane thickness. We introduce an inhomogeneous filler volume fraction profile, which arises due to depletion of the filler in regions adjacent to the membrane ends, into the MMM permeation model. In this way, the effective medium approach (EMA) can still be applied to systems where the dispersant size is not small in comparison to the membrane thickness, and for which a permeability profile arises in the MMM that is dependent on both filler size and membrane thickness, besides the filler-polymer equilibrium constant. It is found that increase in particle size reduces the effective membrane permeability at fixed membrane thickness, and that the effective membrane permeability increases with increase of the membrane thickness to asymptotically reach the value predicted by existing models. The present theory is validated against detailed simulations of the transport in MMMs, and theoretical predictions are found to be in agreement with those obtained from the exact calculations. Further, comparison of the exact effective permeability at different filler volume fractions is made for different packing configurations, showing variations in dispersant packing structure to have only a very weak effect on MMM performance.

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Predictions of effective diffusivity of mixed matrix membranes with tubular fillers

Cited by 20 publications

References 56 publications

Highly selective mixed-matrix membranes with layered fillers for molecular separation

Highly selective mixed-matrix membranes with layered fillers for molecular separation

Modeling Permeation through Mixed-Matrix Membranes: A Review

Extending effective medium theory to finite size systems: Theory and simulation for permeation in mixed-matrix membranes

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