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Abstrakty
A comparison of different models has been presented for the pressure driven stationary transport of the mixture of two liquids (1,2) through a membrane. The following models have been discussed: the solution-diffusion model (SD), modified solution-diffusions models (SDI and SDIY) and the "black-box" approach (BB) based on linear irreversible thermodynamics. The set of general equations describing separation factor (SF1/2) has been derived for each model. It has been found that if SF1/2(SD) > 1, then SF1/2(SD) > SF1/2(SDI) > SF1/2(SDIY). For the moderate pressure differences (_p = 10 bar) the SD model and its modifications (SDI, SDIY) yield SF1/2 very close to unity and cannot describe the experimental results. Contrary to them the BB approach is able to predict the experimental SF1/2. SF1/2(BB) increases with the increase of coupling between fluxes, however, its upper limit is determined by the conditions of the positive entropy production and of the positive fluxes.
Wydawca
Czasopismo
Rocznik
Tom
Strony
1637--1647
Opis fizyczny
Bibliogr. 10 poz., rys.
Twórcy
autor
- Faculty of Chemistry, Nicolaus Copernicus University, 7 Gagarin Street, 87-100 Torun, Poland
autor
- Faculty of Chemistry, Nicolaus Copernicus University, 7 Gagarin Street, 87-100 Torun, Poland
Bibliografia
- 1. Wijmans J.G. and Baker R.W., J Membr. Sci., 107, 1 (1995).
- 2. Heintz A. and Lichtenthaler R.N., in: Chemical Thermodynamics, T.M. Letcher ed., IUPAC, Blackwell Science, 1999, p. 159.
- 3. Yaroshchuk A.E., J. Membr. Sci., 101, 83 (1995).
- 4. Ceynowa J., Outline of linear non-equilibrium thermodynamics of continuous and membrane systems (in Polish), Wyd. UMK, Toruń, 1997,
- 5. Baranowski B., J. Membr. Sci., 57, 119 (1991).
- 6. Kedem O. and Caplan S.R., Trans. Farad. Soc., 61, 1897 (1965).
- 7. Koter S. and Kujawski W., Zeszyty Naukowe Polit. Śląskiej, Seria; Ini. Środ, z. 46, 331 (2002).
- 8. Butler J.A.V., Thomson D.W. and Maclennan W.H., J. Chem. Soc., 674 (1933).
- 9. Narębska A. (ed.), Membranes and membrane techniques of separation (in Polish), Wyd. UMK, Toruń, 1997.
- 10. Woolf L.A., Pure & Appl. Chem., 57,1083 (1985).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ1-0021-0024