Transmembrane gas transfer: Mathematics of diffusion and experimental practice

Beckman, I.N.; Сырцова, Д. А.; Shalygin, M. G.; Palanivelu, K.; Teplyakov, V. V.

doi:10.1016/j.memsci.2019.117737

Cited by 18 publications

(17 citation statements)

References 27 publications

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“…These two mixtures are of particular interest since they mimic the compositions of biogas and of flue gas, and the full understanding of the mixed gas transport could lead to breakthrough in the development of novel materials for a drastically improved separation process for these mixtures. The curves in Figure 6 are typical examples of the differential method [31] and, in our case, can be fitted with Equation (9). The trend of N2 in the CO2/N2 mixture and of CO2 in both mixtures is described well with Equation (9), Figure 6 shows the continuous permeation curve of binary mixtures CO 2 /CH 4 and CO 2 /N 2 in the Pebax ® 1657/Cu II 2 (S,S)-hismox MMM, including the transient region.…”

Section: Single Gas Transportmentioning

confidence: 99%

“…Beckman et al give a concise overview of the different methods to determine the permeability and diffusion coefficients via analysis of the integral, differential or pulse signal for transient permeation [30,31]. The use of functional scales may reveal the deviation of the permeation transient from normal Fickian behavior, for instance in the case of vapor permeation in polyvinyltrimethylsilane (PVTMS) [32].…”

Section: Introductionmentioning

confidence: 99%

“…For instance, Follain et al demonstrate how the permeation curve changes in the case of a concentration-dependent diffusion coefficient [28], while Favre et al calculated the expected effect of an imperfect upstream pressure increase on the permeation transient [29]. Beckman et al give a concise overview of the different methods to determine the permeability and diffusion coefficients via analysis of the integral, differential or pulse signal for transient permeation [30,31]. The use of functional scales may reveal the deviation of the permeation transient from normal Fickian behavior, for instance in the case of vapor permeation in polyvinyltrimethylsilane (PVTMS) [32].…”

Section: Introductionmentioning

confidence: 99%

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Gas Transport in Mixed Matrix Membranes: Two Methods for Time Lag Determination

et al. 2020

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The most widely used method to measure the transport properties of dense polymeric membranes is the time lag method in a constant volume/pressure increase instrument. Although simple and quick, this method provides only relatively superficial, averaged data of the permeability, diffusivity, and solubility of gas or vapor species in the membrane. The present manuscript discusses a more sophisticated computational method to determine the transport properties on the basis of a fit of the entire permeation curve, including the transient period. The traditional tangent method and the fitting procedure were compared for the transport of six light gases (H2, He, O2, N2, CH4, and CO2) and ethane and ethylene in mixed matrix membranes (MMM) based on Pebax®1657 and the metal–organic framework (MOF) CuII2(S,S)-hismox·5H2O. Deviations of the experimental data from the theoretical curve could be attributed to the particular MOF structure, with cavities of different sizes. The fitting procedure revealed two different effective diffusion coefficients for the same gas in the case of methane and ethylene, due to the unusual void morphology in the MOFs. The method was furthermore applied to mixed gas permeation in an innovative constant-pressure/variable-volume setup with continuous analysis of the permeate composition by an on-line mass-spectrometric residual gas analyzer. This method can provide the diffusion coefficient of individual gas species in a mixture, during mixed gas permeation experiments. Such information was previously inaccessible, and it will greatly enhance insight into the mixed gas transport in polymeric or mixed matrix membranes.

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Section: Single Gas Transportmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Gas Transport in Mixed Matrix Membranes: Two Methods for Time Lag Determination

et al. 2020

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“…Unfortunately, the systematic analysis of the gas transfer parameters in such modified membrane systems has not received sufficient attention. The analysis of such phenomena requires knowledge of the kinetics of gas diffusion through membranes, which can be controlled by differential permeability methods 34 . It can be assumed that, phenomenologically, such changes in the volumetric diffusion characteristics are associated with changes in the boundary conditions as a result of changes in the structure and morphology of the surface of the samples.…”

Section: Introductionmentioning

confidence: 99%

The gas permeability properties of poly(vinyltrimethylsilane) treated by low‐temperature plasma

Сырцова

Пискарев

Zinoviev

et al. 2022

J of Applied Polymer Sci

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The results of one-sided treatment of polyvinyltrimethylsilane (PVTMS) films using low-temperature air plasma are presented. The treatment was carried out at 25 C in air at a pressure in the reaction chamber of 10-25 Pa and a processing time of 10-60 s. The surface of the plasma-treated PVTMS films was analyzed by X-ray photoelectron spectroscopy and atomic force microscopy and the contact angle values determined. The effect of the plasma conditions, such as the treatment time and the pressure in the reactor chamber, on the transport properties of the modified membrane for He, O 2 , N 2 , CO 2 , and CH 4 were investigated in detail. The permeability of all plasma-treated PVTMS films for the studied gases except for He was found to decrease depending on the modification conditions, leading to an increase in selectivity for such pairs as He/CH 4 , CO 2 /CH 4 , and O 2 /N 2 . The selectivity of the modified PVTMS achieved a maximum value when the films were treated with plasma for 20-40 s at a chamber pressure of 15-20 Pa. The effective diffusion coefficients of the studied gases were obtained experimentally. It was shown that the volumetric diffusion of gases, particularly O 2 and N 2 , in PVTMS before as after plasma treatment is described by the classical diffusion equations. The theoretical approaches to the influence of boundary conditions on selective gas transfer through polymeric membrane are considered. To estimate the prospects for the long-term use of membranes based on modified PVTMS, the stability of the parameters gas permeability and selectivity of the modified samples was investigated over 9 months. It was shown that the modification of PVTMS by the method of low-temperature plasma in air is a promising method for expanding the spectrum of membrane processes based on existing commercial membranes.

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“…17,20,21 However, the trade-off relationship between the selectivity and the permeability is the major drawback of these membranes in gas separation application which also restrict their viability. [21][22][23] An avenue to achieve higher permeability and selectivity is either the physicochemical modification of the (internal or surface) PVTMSmembrane with appropriated functional compounds or pretreatment process (blending, plasma polymerization, gas-phase fluorination, borderline polymerization, etc.). [24][25][26][27] An early study by Radjabov and co-workers, 26 further studied by Roux and co-worker, 28 Borisov and co-workers, 27 Orlov and co-workers, 29 Malakhov and co-workers, 25 Volker and co-workers 24,30 and Syrtsova and co-workers 31,32 demonstrated the changes in gas separation properties by blending or surface modification of PVTMS with different selective functional groups or compounds or pretreatment process.…”

Section: Introductionmentioning

confidence: 99%

Thin‐film hydrogel polymer layered polyvinyltrimethylsilane dual‐layer flat‐bed composite membrane for CO₂ gas separation

Kunalan

Palanivelu

Sachin

et al. 2021

J of Applied Polymer Sci

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The gas transport property of the hydrogel chitosan (CS) and the CS-polyethylene glycol (CS+PEG) polymer blend surface-modified polyvinyltrimethylsilane (PVTMS) composite membranes have been evaluated for pure CO 2 , N 2 , and CH 4 gases. The physic-chemical characteristics and the surface morphological features of the prepared pure and the composite PVTMS membranes were interrogated with the Fourier transform infrared spectroscope, high-resolution scanning electron microscope, thermogravimetric analysis, and differential scanning calorimeter. Effect of water wetting of the membrane, number of sequential coating, and the transmembrane pressure on the gas transport properties of the pure and composite PVTMS membranes was concurrently studied. The acceptable CO 2 permeability of 153 barrer and the gas-pair CO 2 /N 2 selectivity of 33 and the CO 2 /CH 4 selectivity of 23 were obtained for the CS+PEG-modified PVTMS membrane under the optimum conditions, that is, transmembrane pressure of 76 cmHg and the reaction temperature of 30 C. The CO 2 separation performance of the modified PVTMS composite membrane against the N 2 and the CH 4 gases moved close to Robeson's upper bound 2008. Enhancement in the CO 2 separation efficacy of the modified PVTMS membrane than the pure PVTMS membrane has proved good efficiency of the modified membrane towards CO 2 capture application.

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Transmembrane gas transfer: Mathematics of diffusion and experimental practice

Cited by 18 publications

References 27 publications

Gas Transport in Mixed Matrix Membranes: Two Methods for Time Lag Determination

Gas Transport in Mixed Matrix Membranes: Two Methods for Time Lag Determination

The gas permeability properties of poly(vinyltrimethylsilane) treated by low‐temperature plasma

Thin‐film hydrogel polymer layered polyvinyltrimethylsilane dual‐layer flat‐bed composite membrane for CO₂ gas separation

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Transmembrane gas transfer: Mathematics of diffusion and experimental practice

Cited by 18 publications

References 27 publications

Gas Transport in Mixed Matrix Membranes: Two Methods for Time Lag Determination

Gas Transport in Mixed Matrix Membranes: Two Methods for Time Lag Determination

The gas permeability properties of poly(vinyltrimethylsilane) treated by low‐temperature plasma

Thin‐film hydrogel polymer layered polyvinyltrimethylsilane dual‐layer flat‐bed composite membrane for CO2 gas separation

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Product

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Thin‐film hydrogel polymer layered polyvinyltrimethylsilane dual‐layer flat‐bed composite membrane for CO₂ gas separation