Analysis of transient permeation as a technique for determination of sorption and diffusion in supported membranes

Shah, Mitesh R.; Noble, Richard D.; Clough, David E.

doi:10.1016/j.memsci.2006.01.051

Cited by 19 publications

(10 citation statements)

References 14 publications

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“…Transient one-dimensional transport of a single compound through a dense polymeric membrane can be described [13] by the equation where is the volume fraction of the permeating compound, a refers to activity, x ∈ 0, l , where l is the thickness of the unswollen membrane, D is the diffusion coefficient. The initial and boundary conditions for the permeation experiments are of the form (x, 0) = 0, (0, ) = (a in ( )), (l, ) = (a out ( )), (2) where a in ( ) and a out ( ) are the time-dependent activities of the diffusing compound in the feed mixture and in the permeate.…”

Section: Theorymentioning

confidence: 99%

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Measuring the transient diffusion of vapor mixtures through dense membranes

Vopička

Hynek

Rabová

2010

Journal of Membrane Science

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Section: Theorymentioning

confidence: 99%

“…Finite difference modeling of the transient diffusion of binary vapor mixtures, which we use in this work, is based on the generalized Fick's laws, as derived by Mulder et al [11], Jonquières et al [12] and Shah et al [13].…”

Section: Introductionmentioning

confidence: 99%

Measuring the transient diffusion of vapor mixtures through dense membranes

Vopička

Hynek

Rabová

2010

Journal of Membrane Science

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“…In a previous study of membrane material selection, much attention was given to the relationships describing the mass transfer properties of polymers. 9 The common approaches focus on the use of empirical parameters, and the most widely used parameters remain the well-known solubility parameters. 10,11 Lin et al [12][13][14][15] investigated the PV characteristics of polyethylene glycol (PEG) membranes on real gasoline desulfurization using the solubility parameters theory.…”

Section: Introductionmentioning

confidence: 99%

The correlation between solvent treatment and the microstructure of PAN-b-PEG copolymer membranes

Kong

et al. 2011

Polym J

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Block copolymer membranes consisting of thiophene-permselective components for use in gasoline desulfurization were prepared by the copolymerization of polyethylene glycol (PEG) with acrylonitrile by water-phase precipitation copolymerization. In this study, a solvent annealing treatment was applied to evaluate the microdomain orientation and the affinity between polyacrylonitrile-block-polyethylene glycol (PAN-b-PEG) copolymers and solvents. Using atomic force microscopy, appreciable microphase separation was observed in the PAN-b-PEG membranes. The affinity of the PEG segments and solvents was reflected by the different sizes of the PEG domains. The sizes of the PEG domains grew gradually with solvent annealing treatments of heptane, toluene and thiophene for all of the copolymers. Using phase separation by different solvent annealing treatments, PAN-b-PEG could be used as a highly selective material for thiophene. This method can also be applied as an important alternative to provide a semi-quantitative method for determining the adsorption properties of pervaporation membranes, which cannot be evaluated by sorption experiments.

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“…The first issue can be addressed using non-Fickian models, for instance see literature [14][15][16][17][18][19][20][21]. As a first approximation, we used an improved Fick's law with activity corrected diffusion coefficient, which is also known as the thermodynamic Fick's law [19][20][21][22].…”

mentioning

confidence: 99%

“…As a first approximation, we used an improved Fick's law with activity corrected diffusion coefficient, which is also known as the thermodynamic Fick's law [19][20][21][22]. For more insight into the derivation of the thermodynamic Fick's law, see Appendix A.1.…”

mentioning

confidence: 99%

Aging of polymers of intrinsic microporosity tracked by methanol vapour permeation

Pilnáček

Vopička

Lanč

et al. 2016

Journal of Membrane Science

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The initially very promising transport properties of glassy high free volume polymers deteriorate rapidly over time. In this work, we focused on this aging phenomenon in two polymers of intrinsic microporosity (PIMs), namely PIM-1 and PIM-EA-TB. To identify the main mechanisms involved, we studied the time-declines of permeability and diffusivity of methanol vapours in flat membranes with approximately equal thicknesses. The permeation measurements were carried out using a continuous flow permeation method with carrier gas, where the methanol vapours were held at constant activity 0.2 at 25°C. Two different experimental modes were used: (i) continuous experiments that consisted of one long experiment with a duration of over 650 hours for each polymer and (ii) momentary experiments that consisted of a vast number of short (ca. 6 hours) consecutive measurements of transient permeation. The observed decreases of methanol permeability due to aging were more intense in the case of continuous mode for both polymers. In other words, the aging was ca.

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Analysis of transient permeation as a technique for determination of sorption and diffusion in supported membranes

Cited by 19 publications

References 14 publications

Measuring the transient diffusion of vapor mixtures through dense membranes

Measuring the transient diffusion of vapor mixtures through dense membranes

The correlation between solvent treatment and the microstructure of PAN-b-PEG copolymer membranes

Aging of polymers of intrinsic microporosity tracked by methanol vapour permeation

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