A Method to Obtain Gas-PDMS Membrane Interaction Parameters for UNIQUAC Model

doi:10.1016/S1004-9541(13)60513-3

摘要/Abstract

摘要： The recovery or capture of one or more components from gas mixture by membrane separation has become a research focus in recent years. This study investigates the gas-membrane solution equilibrium, for which Henry’s law is not applicable if the gas phase is a mixture. This problem can be solved by using UNIQUAC model to calculate the activity coefficient of gas dissolved in the membrane. A method was proposed in this study to obtain the gas-membrane interaction parameter for UNIQUAC model. By the experiments of gas permeation through polydimethylsiloxane PDMS membrane, the solubility coefficients of some gases (N₂, CO₂, CH₄) were measured. Through non-linear fitting UNIQUAC model to the experimental results from this study and in literature (H₂, O₂, C₃H₈), the gas-membrane interaction parameters for these gases were obtained. Based on these parameters, the activity coefficients of the dissolved gas were calculated by UNIQUAC model, and their values agree well with the experimental data. These results confirm the feasibility and effectiveness of the proposed method, which makes it possible to better predict gas-membrane solution equilibrium.

关键词: diffusion coefficient, solubility coefficient, polydimethylsiloxane (PDMS) membrane, UNIQUAC model

Abstract: The recovery or capture of one or more components from gas mixture by membrane separation has become a research focus in recent years. This study investigates the gas-membrane solution equilibrium, for which Henry’s law is not applicable if the gas phase is a mixture. This problem can be solved by using UNIQUAC model to calculate the activity coefficient of gas dissolved in the membrane. A method was proposed in this study to obtain the gas-membrane interaction parameter for UNIQUAC model. By the experiments of gas permeation through polydimethylsiloxane PDMS membrane, the solubility coefficients of some gases (N₂, CO₂, CH₄) were measured. Through non-linear fitting UNIQUAC model to the experimental results from this study and in literature (H₂, O₂, C₃H₈), the gas-membrane interaction parameters for these gases were obtained. Based on these parameters, the activity coefficients of the dissolved gas were calculated by UNIQUAC model, and their values agree well with the experimental data. These results confirm the feasibility and effectiveness of the proposed method, which makes it possible to better predict gas-membrane solution equilibrium.

Key words: diffusion coefficient, solubility coefficient, polydimethylsiloxane (PDMS) membrane, UNIQUAC model

林东杰, 丁忠伟, 刘丽英, 马润宇. A Method to Obtain Gas-PDMS Membrane Interaction Parameters for UNIQUAC Model[J]. Chinese Journal of Chemical Engineering, 2013, 21(5): 485-493.

LIN Dongjie, DING Zhongwei, LIU Liying, MA Runyu. A Method to Obtain Gas-PDMS Membrane Interaction Parameters for UNIQUAC Model[J]. Chin.J.Chem.Eng., 2013, 21(5): 485-493.

参考文献

1 Shokriana, M., Sadrzadehb, M., Mohammadib, T., "C₃H₈ separation from CH₄ and H₂ using a synthesized PDMS membrane: Experimental and neural network modeling", J. Membr. Sci., 346,59-70 (2010).

2 MoradiShehnia, P., Mohammadia, T., "Modeling of unsteady-state permeation of gas mixture through a self-synthesized PDMS membranes", Sep. Purif. Technol., 76,385-399 (2011).

3 Baker, R.W., Wimans, J.G., Kaschemekat, J.H., "The design of membrane vapor-gas separation systems", J. Membr. Sci., 51,55-62 (1998).

4 Zhao, C., Li, J., "Separation of sulfur/gasoline mixture with polydimethylsiloxane/polyetherimide composite membranes by pervaporation", Chin. J. Chem. Eng., 17,707-710 (2009).

5 Cai, W., Sun, Y., Piao, X., Li, J., "Solvent recovery from soybean oil/hexane miscella by PDMS composite membrane", Chin. J. Chem. Eng., 19,575-580 (2011).

6 Wu, F., Zhang, Z., "Operational model for evaluating the permeation of mixed gas through poly (dimethylsi1oxane) membrane", Chin. J. Chem. Eng., 14,700-707 (2006).

7 Liu, G., Hou, D., Wei, W., Jin, W., "Pervaporation separation of butanol-water mixtures using polydimethylsiloxane/ceramic composite membrane", Chin. J. Chem. Eng., 19,40-44 (2011).

8 Banihashemi, F., Pakizeh, M., Ahmadpour, A., "CO₂ separation using PDMS/ZSM-5 zeolite composite membrane", Sep. Purif. Technol., 79,293-303 (2011).

9 Reijerkerk, S.R., Knoef, M.H., Nijmeijer, K., "Poly(ethylene glycol) and poly(dimethyl siloxane): Combining their advantages into efficient CO₂ gas separation membranes", J. Membr. Sci., 352,126-135 (2010).

10 Liu, L., Chakma, A., Feng, X.H., "Sorption, diffusion and permeation of light olefins in poly membranes", Chem. Eng. Sci., 61,6142-6153 (2006).

11 Ettouney, H., Majeed, U., "Permeability functions for pure and mixture gases in silicone rubber and polysufone membrane: Dependence on pressure and composition", J. Membr. Sci., 135,251-261 (1997).

12 Lin, L.G., Kong, Y., Zhang, Y.Z., "Sorption and transport behavior of gasoline components in polyethylene glycol membranes", J. Membr. Sci., 325,438-445 (2008).

13 Mohammadi, T., "Acid gas permeation behavior through poly membrane", Ind. Eng. Chem. Res., 4,7361-7367 (2008).

14 Singh, A., Freeman, B.D., Pinnau, I., "Pure and mixed gas acetone: Nitrogen permeation properties of polydimethylsiloxane (PDMS)", J. Membr. Sci., 36,289-301 (1988).

15 Pinnau, I., Toy, L.G., "Transport of organic vapors through poly(1-trimethylsilyl-1-propyne)", J. Membr. Sci., 116,199-209 (1996).

16 Pinnau, I., "Pure-gas and vapor permeation and sorption properties of poly [1-phenyl-2-[p-(trimethylsilyl) phenyl]acetylene] (PTMSDPA)", Macromolecules, 33,2516-2524 (2000).

17 Chen, W.W., Wu, S.Y., "Sorption and transport behavior of gasoline components in polyethylene glycol membranes", J. Membr. Sci., 311,380-389 (2008).

18 Raharjo, R.D., Freeman, B.D., Sanders, E.S., "Pure and mixed gas CH₄ and n-C₄H₁₀ sorption and dilation in poly(dimethylsiloxane)", J. Membr. Sci., 292,45-61 (2007).

19 Mohammadi, T., "Effect of operating parameters on pure and mixed gas permeation properties of a synthesized composite PDMS/PA membrane", J. Membr. Sci., 342,327-340 (2009).

20 Mohammadi, T., "Gas permeation through a synthesized composite PDMS/PES membrane", J. Membr. Sci., 342,236-250 (2009).

21 Madeira, L.M., "Mass transport on composite dense PDMS membranes with palladium nanoclusters", J. Membr. Sci., 288,112-122 (2007).

22 Cheng, Z., Liu, Q., "Review of thermodynamic models in polymer solutions", Progress in Chemistry, 17,40-44 (2005). (in Chinese)

23 Watson, J.M., Payne, P.A., "A study of organic compound pervaporation through silicone rubber", J. Membr. Sci., 49,171-205 (1990).

24 Yeom, C.K., Lee, J.M., Hong, Y.T., "Analysis of permeation transients of pure gases through dense polymeric membranes measured by a new permeation apparatus", J. Membr. Sci., 166,71-83 (2000).

25 Yeom, C.K., Lee, J.M., "Vapor permeations of a series of VOCs/N₂ mixtures through PDMS membrane", J. Membr. Sci., 198,129-143 (2002).

26 Watson, J.M., "Precise static and dynamic permeation measurements using a continuous-flow vacuum cell", J. Membr. Sci., 106,259-268 (1995).

27 Jiang, Z.Y., Peng, F.B., Pan, F.S., "Pervaporation properties of PDMS membranes for removal of benzene from aqueous solution: Experimental and modeling", Chem. Eng. J., 114,123-129 (2005).

28 Friess, K., "Description of binary liquid mixtures transport through non-porous membrane by modified Maxwell-Stefan equations", J. Membr. Sci., 214,293-309 (2003).

29 Takeo, Y., Wang, B., Miyazaki, Y., "Design of a vapor permeation membrane for VOC removal by the filling membrane concept", J. Membr. Sci, 164,25-35 (2000).

30 Liu, Q., Cheng, Z., "A modified entropic expression for the analysis of swelling behavior of polymeric membranes in solutions", Polymer, 46,8331-8339 (2005).

31 Ma, P., Chemical Thermodynamic, Chemical Industry Press, Beijing,129-131 (2005). (in Chinese)

32 Felder, R.M., Huward, G.S., Properties of Gas and Liquid, Petrol Industry Press, Beijing,377-379 (1981). (in Chinese)

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