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The calculation scheme for estimation of the water permeability through polymers and copolymers

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Abstract

A calculation scheme for prediction of the water permeability through polymers has been developed. A relationship for determining the activation energy of the permeation process has been proposed. The calculation is based on a set of summarized atomic constants with consideration for the chemical structure of the polymer, the degree of crystallinity, temperature, and the free (empty) volume. The method is computerized. The computer program makes it possible to solve not only the problem of estimating the polymer properties on the basis of the chemical structure of the repeating unit but also the inverse problem of searching for polymer structures with the given permeability range.

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References

  1. L. F. Greenlee, D. F. Lawler, B. D. Freeman, B. Marrot, P. Moulin, Water Res. 43, 2317 (2009).

    Article  CAS  Google Scholar 

  2. R. F. Service, Science 313, 1088 (2006).

    Article  CAS  Google Scholar 

  3. A. A. Burbano, S. S. Adham, and W. R. Pearce, J. Am. Water Works Assoc. 99, 116 (2007).

    CAS  Google Scholar 

  4. M. Paul, H. B. Park, B. D. Freeman, A. Roy, J. E. McGrath, J. S. Riffle, Polymer 49, 2243 (2008).

    Article  CAS  Google Scholar 

  5. J. E. McGrath, H. B. Park, and B. D. Freeman, US Patent No. 11/655319 (2007).

    Google Scholar 

  6. H. B. Park, B. D. Freeman, Z.-B. Zhang, M. Sankir, J. E. McGrath, Angew. Chem. 120, 6108 (2008).

    Article  Google Scholar 

  7. W. Xie, H. B. Park, J. Cook, C. H. Lee, G. Byun, B. D. Freeman, J. E. McGrath, Water Sci. Technol. 61, 619 (2010).

    Article  CAS  Google Scholar 

  8. T. Knoell, Ultrapure Water 23, 24 (2006).

    CAS  Google Scholar 

  9. G. M. Geise, H.-S. Lee, D. J. Miller, B. D. Freeman, J. E. McGrath, D. R. Paul, Polym. Sci., Ser. B 48, 1685 (2010).

    Article  CAS  Google Scholar 

  10. G. M. Geoffrey, H. B. Park, A. C. Sagle, B. D. Freeman, J. E. McGrath, J. Membr. Sci. 369, 130 (2011).

    Article  Google Scholar 

  11. J. Greener, K. C. Ng, K. M. Vaeth, and T. M. Smith, J. Appl. Polym. Sci. 106, 3534 (2007).

    Article  CAS  Google Scholar 

  12. Iv. Genov, R. Ganev, N. Gospodinova, and Iv. Glavchev, J. Univ. Chem. Technol. Metall. 45 (2), 213 (2010).

    CAS  Google Scholar 

  13. M. A. Islam and H. Buschatz, Indian J. Chem. Technol. 12, 88 (2005).

    CAS  Google Scholar 

  14. M. A. Islam, H. Buschatz, and D. Paul, J. Membr. Sci. 204, 379 (2002).

    Article  CAS  Google Scholar 

  15. M. A. Islam and H. Buschatz, Chem. Eng. Sci. 57, 2089 (2002).

    Article  CAS  Google Scholar 

  16. A. Gennadios, C. L. Weller, and C. H. Gooding, J. Food Eng. 21, 395 (1994).

    Article  Google Scholar 

  17. V. Morillon, F. Debeaufort, G. Blond, M. Capelle, A. Voilley, Crit. Rev. Food Sci. Nutr. 42, 67 (2002).

    Article  CAS  Google Scholar 

  18. Y. Chen and Y. Li, Int. J. Pharm. 255, 217 (2003).

    Article  CAS  Google Scholar 

  19. S. Mizrahi and M. Karel, J. Food Sci. 42, 1575 (1977).

    Article  CAS  Google Scholar 

  20. M. A. Del Nobile, G. G. Buonocore, S. Limbo, and P. Fava, Food Eng. Phys. Prop. 68, 1292 (2003).

    Google Scholar 

  21. A. B. Azanha and J. A. F. Faria, Packag. Technol. Sci. 18, 171 (2005).

    Article  Google Scholar 

  22. E. E. Katz and T. P. Labuza, J. Food Sci. 46, 403 (1981).

    Article  Google Scholar 

  23. N. Martinez-Navarrete, G. Moragu, P. Talens, and A. Chiralt, Int. J. Food Sci. Technol. 39, 555 (2004).

    Article  CAS  Google Scholar 

  24. G. Roudaut, C. Dacremont, and M. L. Meste, J. Text. Stud. 29, 199 (1998).

    Article  Google Scholar 

  25. Z. F. Wang, B. Wang, N. Qi, X. M. Ding, J. L. Hu, Mat. Chem. Phys. 88, 212 (2004).

    Article  CAS  Google Scholar 

  26. A. Askadskii, Computational Materials Science of Polymers (Cambridge International Science Publishing, Cambridge, 2003).

    Google Scholar 

  27. J. Park and G. S. Crank, Diffusion in Polymers (Academic Press, London, 1968).

    Google Scholar 

  28. W. S. W. Ho and K. K. Sirkar, Membrane Handbook (Van Nostrand, New York, 1992).

    Book  Google Scholar 

  29. D. R. Paul and Yu. P. Yampolskii, Polymeric Gas Separation Membranes (CRC Press Boca Raton, Florida, 1994).

    Google Scholar 

  30. S. A. Reitlinger, Permeability of Polymeric Materials (Khimiya, Moscow, 1974) [in Russian].

    Google Scholar 

  31. A. L. Iordanskii, O. V. Startsev, and G. E. Zaikov, Water Transport in Synthetic Polymers (Nova, New York, 2003).

    Google Scholar 

  32. G. E. Zaikov, A. L. Iordanskii, and V. S. Markin, Diffusion of Electrolytes in Polymers (VSP, Utrecht, 1988).

    Google Scholar 

  33. A. L. Iordanskii, T. E. Rudakova, and G. E. Zaikov, Interaction of Polymers with Bioactive and Corrosive Media (VSP, Utrecht, 1994).

    Google Scholar 

  34. S. T. Hwang, C. K. Choi, and K. Kammermeyer, J. Sep. Sci. 6, 461 (1974).

    Google Scholar 

  35. M. Mulder, Basic Principles of Membrane Technology (Kluwer, Dordrecht, 1996).

    Book  Google Scholar 

  36. M. C. Porter, Handbook of Industrial Membrane Technology (Noyes Publishing, Oak Ridge, 1989).

    Google Scholar 

  37. W. R. Vieth, Diffusion in Through Polymers. Principles and Applications (Hanser Publishers, Munic, 1991).

    Google Scholar 

  38. A. Jonquieres, R. Clement, and P. Lochon, Prog. Polym. Sci. 27, 1803 (2002).

    Article  CAS  Google Scholar 

  39. R. W. Baker, Ind. Eng. Chem. 41, 1393 (2002).

    Article  CAS  Google Scholar 

  40. J. Huang, R. J. Cranford, T. Matsuura, and C. Roy, J. Membr. Sci. 215, 129 (2003).

    Article  CAS  Google Scholar 

  41. T. Gallego-Lizon, Y. S. Ho, and L. F. dos Santos, Desalination 149, 3 (2002).

    Article  CAS  Google Scholar 

  42. A. P. Roberts, B. M. Henry, A. P. Sutton, C. R. M. Grovenor, G. A. D. Briggs, T. Miyamoto, M. Kano, Y. Tsukahara, M. Yanaka, J. Membr. Sci. 208, 75 (2002).

    Article  CAS  Google Scholar 

  43. R. J. Cranford, H. Darmstadt, J. Yang, and C. Roy, J. Membr. Sci. 155, 231 (1999).

    Article  CAS  Google Scholar 

  44. K. A. Lokhandwala, S. M. Nadakatti, and S. A. Stern, J. Polym. Sci., Part B: Polym. Phys. 45, 965 (1995).

    Article  Google Scholar 

  45. D. C. Overmann, US Patent No. 5034025 (1991).

    Google Scholar 

  46. R. A. Rahimzadeh, US Patent No. 5681368 (1997).

    Google Scholar 

  47. E. Sacher and J. R. Susko, J. Appl. Polym. Sci. 23, 2355 (1979).

    Article  CAS  Google Scholar 

  48. J. Huang, R. J. Cranford, T. Matsuura, and C. Roy, J. Appl. Polym. Sci. 85, 139 (2002).

    Article  CAS  Google Scholar 

  49. K. Okamoto, N. Tanihara, H. Watanabe, K. Tanaka, H. Kita, A. Nakamura, Y. Kusuki, K. Nakagawa, J. Polym. Sci., Part B: Polym. Phys. 30, 1223 (1992).

    Article  CAS  Google Scholar 

  50. T. Watari, J. Fang, X. Guo, K. Tanaka, H. Kita, K. Okamoto, in Advanced Materials for Membrane Separations, ACS Symposium Series, ed. by E. Pinnau and B. D. Freeman (ACS, Washington, DC, 2004), Vol. 876.

  51. D. Rivin, C. E. Kendrick, P. W. Gibson, and N. S. Schneider, Polymer 42, 623 (2001).

    Article  CAS  Google Scholar 

  52. B. P. Tikhomirov, H. B. Hopfenberg, and V. Stannett, Macromol. Chem. 118, 177 (1968).

    Article  CAS  Google Scholar 

  53. M. Salame, in Proceedings of the ACS 164th Meeting, 1972, p. 113.

    Google Scholar 

  54. M. Salame, in Proceedings of Polymers, Laminations and Coatings Conference, Nashville, TN, 1986, (TAPPI Press, Nashville, 1986), p. 363.

    Google Scholar 

  55. A. W. Myers, V. Tammela, V. Stannett, and M. Szwarc, Mod. Plast. 37, 139 (1960).

    CAS  Google Scholar 

  56. J. M. Mohr and D. R. Paul, J. Appl. Polym. Sci. 42, 1711 (1991).

    Article  CAS  Google Scholar 

  57. V. T. Stannett, G. R. Ranade, and W. J. Koros, J. Membr. Sci. 10, 219 (1982).

    Article  CAS  Google Scholar 

  58. N. A. Plate, A. Bokarev, N. Kaliuszhnyi, and Yu. Yampolskii, J. Membr. Sci. 60, 13 (1991).

    Article  CAS  Google Scholar 

  59. V. Stannett and J. L. Williams, J. Polym. Sci., Part C: Polym. Symp. 10, 45 (1965).

    Article  Google Scholar 

  60. A. A. Askadskii and Yu. I. Matveev, Chemical Structure and Physical Properties of Polymers (Khimiya, Moscow, 1983) [in Russian].

    Google Scholar 

  61. A. A. Askadskii, Physical Properties of Polymers. Prediction and Control (Gordon and Breach Science Publishers, Amsterdam, 1996).

    Google Scholar 

  62. A. A. Askadskii and V. I. Kondrashchenko, Computer Materials Science of Polymers (Nauchnyi Mir, Moscow, 1999), Vol. 1 [in Russian].

    Google Scholar 

  63. A. Bondi, J. Phys. Chem. 58, 929 (1954).

    Article  CAS  Google Scholar 

Download references

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Correspondence to A. A. Askadskii.

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Original Russian Text © A.A. Askadskii, E.S. Afanas’ev, T.A. Matseevich, M.N. Popova, O.V. Kovriga, V.I. Kondrashchenko, 2015, published in Vysokomolekulyarnye Soedineniya. Ser. A, 2015, Vol. 57, No. 6, pp. 582–604.

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Askadskii, A.A., Afanas’ev, E.S., Matseevich, T.A. et al. The calculation scheme for estimation of the water permeability through polymers and copolymers. Polym. Sci. Ser. A 57, 924–945 (2015). https://doi.org/10.1134/S0965545X15060012

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  • DOI: https://doi.org/10.1134/S0965545X15060012

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