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Yu Y, Zhang K. Size-sieving separation of hard-sphere gases at low concentrations through cylindrically porous membranes. SOFT MATTER 2021; 17:10025-10031. [PMID: 34661595 DOI: 10.1039/d1sm01158h] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
Membranes are compelling devices for many industrial separation processes, which are all subject to the intrinsic permeability-selectivity tradeoff. A general strategy to enhance separation performance is to reduce the pore size distribution and, ideally, make the membrane isoporous. In this study, we focus on a minimal model for regularly porous membranes, which consists of hard spheres moving through cylindrical pores. The collision dynamics is solved exactly and implemented in nonequilibrium event-driven molecular dynamics simulations. For such size-sieving porous membranes, we show that the permeability P of hard spheres of size σ through cylindrical pores of size d follows the hindered diffusion mechanism due to size exclusion as P ∝ (1 - σ/d)2. According to this law, the separation of binary mixtures of large and small particles exhibits a linear relationship between α-1/2 and P-1/2, where α and P are the selectivity and permeability of the smaller particle, respectively. The mean permeability through polydisperse pores is the average of the permeabilities of individual pores, weighted by the fraction of the single pore area over the total pore area.
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Affiliation(s)
- Yue Yu
- Division of Natural and Applied Sciences, Duke Kunshan University, Kunshan, Jiangsu, 215300, China.
| | - Kai Zhang
- Division of Natural and Applied Sciences, Duke Kunshan University, Kunshan, Jiangsu, 215300, China.
- Data Science Research Center (DSRC), Duke Kunshan University, Kunshan, Jiangsu, 215300, China
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Hasanzadeh A, Pakdel S, Azamat J, Erfan-Niya H, Khataee A. Atomistic understanding of gas separation through nanoporous DDR-type zeolite membrane. Chem Phys 2021. [DOI: 10.1016/j.chemphys.2020.110985] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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3
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Ray MS. Adsorptive and Membrane-Type Separations: A Bibliographical Update (1998). ADSORPT SCI TECHNOL 2016. [DOI: 10.1177/026361749901700307] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Affiliation(s)
- Martyn S. Ray
- School of Chemical Engineering, Curtin University of Technology. GPO Box U1987. Perth 6845, Western Australia
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Darvishmanesh S, Vanneste J, Tocci E, Jansen JC, Tasselli F, Degrève J, Drioli E, Van der Bruggen B. Physicochemical Characterization of Solute Retention in Solvent Resistant Nanofiltration: the Effect of Solute Size, Polarity, Dipole Moment, and Solubility Parameter. J Phys Chem B 2011; 115:14507-17. [DOI: 10.1021/jp207569m] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Siavash Darvishmanesh
- Department of Chemical Engineering, Laboratory for Applied Physical Chemistry and Environmental Technology, Katholieke Universiteit Leuven, W. de Croylaan 46, B-3001 Leuven, Belgium
| | - Johan Vanneste
- Department of Chemical Engineering, Laboratory for Applied Physical Chemistry and Environmental Technology, Katholieke Universiteit Leuven, W. de Croylaan 46, B-3001 Leuven, Belgium
| | - Elena Tocci
- Institute on Membrane Technology (ITM-CNR), Via P. Bucci, 87030 Arcavacata di Rende, Cosenza, Italy
| | - Johannes Carolus Jansen
- Institute on Membrane Technology (ITM-CNR), Via P. Bucci, 87030 Arcavacata di Rende, Cosenza, Italy
| | - Franco Tasselli
- Institute on Membrane Technology (ITM-CNR), Via P. Bucci, 87030 Arcavacata di Rende, Cosenza, Italy
| | - Jan Degrève
- Department of Chemical Engineering, Laboratory for Applied Physical Chemistry and Environmental Technology, Katholieke Universiteit Leuven, W. de Croylaan 46, B-3001 Leuven, Belgium
| | - Enrico Drioli
- Institute on Membrane Technology (ITM-CNR), Via P. Bucci, 87030 Arcavacata di Rende, Cosenza, Italy
| | - Bart Van der Bruggen
- Department of Chemical Engineering, Laboratory for Applied Physical Chemistry and Environmental Technology, Katholieke Universiteit Leuven, W. de Croylaan 46, B-3001 Leuven, Belgium
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Chang KS, Yoshioka T, Kanezashi M, Tsuru T, Tung KL. Molecular simulation of micro-structures and gas diffusion behavior of organic–inorganic hybrid amorphous silica membranes. J Memb Sci 2011. [DOI: 10.1016/j.memsci.2011.07.020] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Hacarlioglu P, Lee D, Gibbs G, Oyama S. Activation energies for permeation of He and H2 through silica membranes: An ab initio calculation study. J Memb Sci 2008. [DOI: 10.1016/j.memsci.2008.01.018] [Citation(s) in RCA: 68] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Jia Y, Wang M, Wu L, Gao C. Separation of CO2/N2Gas Mixture through Carbon Membranes: Monte Carlo Simulation. SEP SCI TECHNOL 2007. [DOI: 10.1080/01496390701710653] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Yin K, Xu D. STUDY ON PERMEATION OF ACETONE/NITROGEN MIXED GAS THROUGH AL2O3MICROPOROUS MEMBRANES: MOLECULAR DYNAMICS. CHEM ENG COMMUN 2007. [DOI: 10.1080/00986440600642900] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Kailiang Yin
- a Department of Chemical Engineering , Jiangsu Polytechnic University , Changzhou , China
| | - Duanjun Xu
- b Department of Chemistry , Zhejiang University , Hangzhou , China
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Nagumo R, Takaba H, Nakao SI. A Methodology to Estimate Transport Diffusivities in 'Single-File' Permeation through Zeolite Membranes Using Molecular Simulations. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 2007. [DOI: 10.1252/jcej.07we170] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Ryo Nagumo
- Department of Chemical System Engineering, The University of Tokyo
| | | | - Shin-ichi Nakao
- Department of Chemical System Engineering, The University of Tokyo
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10
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Chang W, Lee TY. Molecular dynamics simulation of gas permeation phenomena in a microporous silica membrane. Chem Eng Sci 2006. [DOI: 10.1016/j.ces.2006.01.037] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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11
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Non-equilibrium Molecular Dynamics Simulation on Pure Gas Permeability Through Carbon Membranes. Chin J Chem Eng 2006. [DOI: 10.1016/s1004-9541(06)60054-2] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Wang SM, Yu YX, Gao GH. Grand canonical Monte Carlo and non-equilibrium molecular dynamics simulation study on the selective adsorption and fluxes of oxygen/nitrogen gas mixtures through carbon membranes. J Memb Sci 2006. [DOI: 10.1016/j.memsci.2005.07.033] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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13
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Chang W, Lee TY. Observation of adsorption and permeation phenomena in silica membrane system through molecular dynamics simulation. Comput Chem Eng 2004. [DOI: 10.1016/j.compchemeng.2004.07.032] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Takaba H, Matsuda E, Nakao SI. Correlation of Temperature Dependence of Gas Permeability with Pore Size in Molecular Sieving Membranes: A Grand Canonical Ensemble Molecular Dynamics Study. J Phys Chem B 2004. [DOI: 10.1021/jp049068h] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Hiromitsu Takaba
- Department of Chemical System Engineering, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku, Tokyo 113-8685, Japan
| | - Eriya Matsuda
- Department of Chemical System Engineering, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku, Tokyo 113-8685, Japan
| | - Shin-ichi Nakao
- Department of Chemical System Engineering, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku, Tokyo 113-8685, Japan
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Nagumo R, Takaba H, Nakao SI. Prediction of Ideal Permeability of Hydrocarbons through an MFI-Type Zeolite Membrane by a Combined Method Using Molecular Simulation Techniques and Permeation Theory. J Phys Chem B 2003. [DOI: 10.1021/jp034401n] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ryo Nagumo
- Department of Chemical System Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
| | - Hiromitsu Takaba
- Department of Chemical System Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
| | - Shin-ichi Nakao
- Department of Chemical System Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
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Takaba H, Matsuda E, Nair BN, Nakao SI. Molecular Modeling of Gas Permeation through an Amorphous Microporous Silica Membrane. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 2002. [DOI: 10.1252/jcej.35.1312] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Hiromitsu Takaba
- Department of Chemical System Engineering, The University of Tokyo
| | - Eriya Matsuda
- Department of Chemical System Engineering, The University of Tokyo
| | | | - Shin-Ichi Nakao
- Department of Chemical System Engineering, The University of Tokyo
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Mizukami K, Takaba H, Kobayashi Y, Oumi Y, Belosludov RV, Takami S, Kubo M, Miyamoto A. Molecular dynamics calculations of CO2/N2 mixture through the NaY type zeolite membrane. J Memb Sci 2001. [DOI: 10.1016/s0376-7388(00)00693-1] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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