Gas Permeation Model of Mixed-Matrix Membranes with Embedded Impermeable Cuboid Nanoparticles
In the packaging industry, the barrier property of packaging materials is of paramount importance. The enhancement of barrier properties of materials can be achieved by adding impermeable nanoparticles into thin polymeric films, known as mixed-matrix membranes (MMMs). Three-dimensional numerical sim...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Membranes |
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| Online Access: | https://www.mdpi.com/2077-0375/10/12/422 |
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| author | Haoyu Wu Maryam Zamanian Boguslaw Kruczek Jules Thibault |
| author_facet | Haoyu Wu Maryam Zamanian Boguslaw Kruczek Jules Thibault |
| author_sort | Haoyu Wu |
| collection | DOAJ |
| description | In the packaging industry, the barrier property of packaging materials is of paramount importance. The enhancement of barrier properties of materials can be achieved by adding impermeable nanoparticles into thin polymeric films, known as mixed-matrix membranes (MMMs). Three-dimensional numerical simulations were performed to study the barrier property of these MMMs and to estimate the effective membrane gas permeability. Results show that horizontally-aligned thin cuboid nanoparticles offer far superior barrier properties than spherical nanoparticles for an identical solid volume fraction. Maxwell’s model predicts very well the relative permeability of spherical and cubic nanoparticles over a wide range of the solid volume fraction. However, Maxwell’s model shows an increasingly poor prediction of the relative permeability of MMM as the aspect ratio of cuboid nanoparticles tends to zero or infinity. An artificial neural network (ANN) model was developed successfully to predict the relative permeability of MMMs as a function of the relative thickness and the relative projected area of the embedded nanoparticles. However, since an ANN model does not provide an explicit form of the relation of the relative permeability with the physical characteristics of the MMM, a new model based on multivariable regression analysis is introduced to represent the relative permeability in a MMM with impermeable cuboid nanoparticles. The new model possesses a simple explicit form and can predict, very well, the relative permeability over an extensive range of the solid volume fraction and aspect ratio, compared with many existing models. |
| first_indexed | 2024-03-10T14:03:42Z |
| format | Article |
| id | doaj.art-2b97d3df3f2e42a391811791288a4cde |
| institution | Directory Open Access Journal |
| issn | 2077-0375 |
| language | English |
| last_indexed | 2024-03-10T14:03:42Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Membranes |
| spelling | doaj.art-2b97d3df3f2e42a391811791288a4cde2023-11-21T00:52:16ZengMDPI AGMembranes2077-03752020-12-01101242210.3390/membranes10120422Gas Permeation Model of Mixed-Matrix Membranes with Embedded Impermeable Cuboid NanoparticlesHaoyu Wu0Maryam Zamanian1Boguslaw Kruczek2Jules Thibault3Department of Chemical and Biological Engineering, University of Ottawa, 161 Louis Pasteur St., Ottawa, ON K1N 6N5, CanadaDepartment of Biosystems Engineering, Ferdowsi University of Mashhad, Azadi Square, Mashhad, Razavi Khorasan Province 9177948974, IranDepartment of Chemical and Biological Engineering, University of Ottawa, 161 Louis Pasteur St., Ottawa, ON K1N 6N5, CanadaDepartment of Chemical and Biological Engineering, University of Ottawa, 161 Louis Pasteur St., Ottawa, ON K1N 6N5, CanadaIn the packaging industry, the barrier property of packaging materials is of paramount importance. The enhancement of barrier properties of materials can be achieved by adding impermeable nanoparticles into thin polymeric films, known as mixed-matrix membranes (MMMs). Three-dimensional numerical simulations were performed to study the barrier property of these MMMs and to estimate the effective membrane gas permeability. Results show that horizontally-aligned thin cuboid nanoparticles offer far superior barrier properties than spherical nanoparticles for an identical solid volume fraction. Maxwell’s model predicts very well the relative permeability of spherical and cubic nanoparticles over a wide range of the solid volume fraction. However, Maxwell’s model shows an increasingly poor prediction of the relative permeability of MMM as the aspect ratio of cuboid nanoparticles tends to zero or infinity. An artificial neural network (ANN) model was developed successfully to predict the relative permeability of MMMs as a function of the relative thickness and the relative projected area of the embedded nanoparticles. However, since an ANN model does not provide an explicit form of the relation of the relative permeability with the physical characteristics of the MMM, a new model based on multivariable regression analysis is introduced to represent the relative permeability in a MMM with impermeable cuboid nanoparticles. The new model possesses a simple explicit form and can predict, very well, the relative permeability over an extensive range of the solid volume fraction and aspect ratio, compared with many existing models.https://www.mdpi.com/2077-0375/10/12/422mixed-matrix membranesimpermeable nanoparticlesthree-dimensional modellingrelative permeabilitypredictive permeability model |
| spellingShingle | Haoyu Wu Maryam Zamanian Boguslaw Kruczek Jules Thibault Gas Permeation Model of Mixed-Matrix Membranes with Embedded Impermeable Cuboid Nanoparticles Membranes mixed-matrix membranes impermeable nanoparticles three-dimensional modelling relative permeability predictive permeability model |
| title | Gas Permeation Model of Mixed-Matrix Membranes with Embedded Impermeable Cuboid Nanoparticles |
| title_full | Gas Permeation Model of Mixed-Matrix Membranes with Embedded Impermeable Cuboid Nanoparticles |
| title_fullStr | Gas Permeation Model of Mixed-Matrix Membranes with Embedded Impermeable Cuboid Nanoparticles |
| title_full_unstemmed | Gas Permeation Model of Mixed-Matrix Membranes with Embedded Impermeable Cuboid Nanoparticles |
| title_short | Gas Permeation Model of Mixed-Matrix Membranes with Embedded Impermeable Cuboid Nanoparticles |
| title_sort | gas permeation model of mixed matrix membranes with embedded impermeable cuboid nanoparticles |
| topic | mixed-matrix membranes impermeable nanoparticles three-dimensional modelling relative permeability predictive permeability model |
| url | https://www.mdpi.com/2077-0375/10/12/422 |
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