Multicomponent space-charge transport model for ion-exchange membranes

AIChE Journal

Volumn 46, Issue 6, 2000, Pages 1177-1190

  Yang, Yahan ^a   Pintauro, Peter N ^a,b  

^a Tulane University   (United States)

^b EXXONMOBIL UPSTREAM RESEARCH COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALKALI METALS; ELECTRIC FIELD EFFECTS; ELECTRIC SPACE CHARGE; ELECTROSTATICS; FREE ENERGY; HYDRATION; MATHEMATICAL MODELS; POROSITY; POSITIVE IONS; SEPARATION; SULFURIC ACID; WATER;

CATION CATION TRANSPORT PERMSELECTIVITY; DONNAN DIALYSIS SEPARATIONS; MULTICOMPONENT SPACE CHARGE TRANSPORT MODEL; SURFACE CHARGE DENSITY;

ION EXCHANGE MEMBRANES;

CESIUM; LITHIUM SULFATE; SODIUM SULFATE;

ELECTRIC CURRENT; ION EXCHANGE; LIQUID-LIQUID EXTRACTION; MEMBRANE; SULFIDE;

ARTICLE; DIPOLE; ELECTRIC FIELD; ION EXCHANGE; MATHEMATICAL MODEL; MEMBRANE PERMEABILITY; MEMBRANE STRUCTURE; MEMBRANE TRANSPORT; PARTITION COEFFICIENT; POROSITY;

EID: 0033916959     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690460610     Document Type: Article

References (31)

1. Babchin, A. J., "Modified Nernst-Planck Equation for Hydration Effects," J. Colloid Interface Sci., 160, 258 (1993).
2. Bontha, J. R., and P. N. Pintauro, "Water Orientation and Ion SoI-vation Effects During Multicomponent Salt Partitioning in a Nafion Cation Exchange Membrane," Chem. Eng. Sci., 49, 3835 (1994).
3. Booth, F. J., "The Dielectric Constant of Water and Saturation Effect," J. Chem. Phys., 19, 391 (1951).
4. Cwirko, E. H., and R. G. Carbonell, "Transport of Electrolytes in Charged Pores: Analysis Using the Method of Spatial Averaging," J. Colloid Interface Sci., 129, 513 (1989).
5. Cwirko, E. H., and R. G. Carbonell, "A Theoretical Analysis of Donnan Dialysis Across Charged Porous Membranes," J. Memb. Sci., 48, 155 (1990).
6. Fair, J. C., and F. F. Osterle, "Reverse Electrodialysis in Charged Capillary Membranes," J. Phys. Chem., 54, 3307 (1971).
7. Gierke, T. D., G. E. Munn, and F. C. Wilson, "The Morphology in Nafion Perfluorinated Membrane Products, as Determined by Wide-and Small-Angle X-Ray Studies," J. Poly. Sci., 19, 1687 (1981).
8. Goldschmidt, N. M., "Krystallban und Chemische Zusammensetzung," Chem. Ber., 60, 1263 (1927).
9. Gross, R. J., and J. F. Osterle, "Membrane Transport Characteristics of Ultrafine Capillaries," J. Phys. Chem., 49, 228 (1968).
10. Gur, Y., I. Ravina, and A. J. Babchin, "On the Electric Double Layer Theory. II. The Poisson-Boltzmann Equation Including Hydration Forces," J. Colloid Interface. Sci., 64, 333 (1978).
11. Guzman-Garcia, A. G., P. N. Pintauro, M. W. Verbrugge, and R. F. Hill, "Development of a Space-Charge Transport Model for Ion-Exchange Membranes," AIChE J., 36, 1061 (1990).
12. Halliwell, H. F., and S. C. Newberg, "Enthalpy of Hydration of the Proton," Trans. Faraday Soc., 59, 1126 (1963).
13. Hiemenz, P. C., Principles of Colloid and Surface Chemistry, Dekker, New York (1977).
14. Higa, M., and A. Kira, "Theory and Simulation of Ion Transport in Nonstationary States Against Concentration Gradients Across Ion-exchange Membranes," J. Phys. Chem., 96, 9518 (1992).
15. Hijnen, H. J. M., and J. A. M. Smit, "Effect of the pH on Electrolyte Transport Through Microporous Membranes Bearing Either Weakly or Strongly Dissociated Acid Groups. A Theoretical Analysis Using the Space-Charge Model for a Cylindrical Capillary," J. Memb. Sci., 99, 285 (1995).
16. Kemery, P. J., J. K. Steehler, and P. W. Bohn, "Electric Field Mediated Transport in Nanometer Diameter Channels," Langmuir, 14, 2884 (1998).
17. Lake, M. A., and S. S. Melsheimer, "Mass Transfer Characterization of Donnan Dialysis," AIChE J., 24, 130 (1978).
18. Lyklema, J., and J. Th. G. Overbeek, "On the Interpretation of Electrokinetic Potentials," J. Colloid Interface Sci., 16, 501 (1961).
19. Newman, J. S., Electrochemical Systems, 2nd ed., Prentice Hall, Englewood Cliffs, NJ (1991).
20. Pintauro, P. N., R. Tandon, L. Chao, W. Xu, and R. Evilia, "Equilibrium Partitioning of Monovalent/Divalent Cation-Salt Mixtures in Nafion Cation-Exchange Membranes," J. Phys. Chem., 99, 12915 (1995).
21. Pintauro, P. N., and Y. Yang, "Structure/Function Modeling: A Rational Approach to Ion-Exchange Membrane Design," Electrochem. Soc. Proc., 95-11, The Electrochemical Society, Pennington, NJ (1995).
22. Rossiensky, D., "Electrode Potentials and Hydration Energies: Theories and Correlations," Chem. Rev., 65, 467 (1965).
23. Sasidhar, V., and E. Ruckenstein, "Anomalous Effects During Electrolyte Osmosis Across Charged Porous Membranes," J. Colloid Interface Sci., 85, 332 (1982).
24. Sato, K., C. Fukuhara, T. Yonemoto, and T. Tadaki, "Ionic Transport in a Continuous Donnan Dialyzer with a Parallel Plate Channel and an Agitated Tank," J. Chem. Eng. Jpn., 24, 81 (1991).
25. Schmid, G., "Electrochemistry of Capillary Systems with Narrow Pores. I. Overview," J. Membr. Sci., 150, 151 (1998).
26. Smedley, S. I., "The Interpretation of Ionic Conductivity in Liquids, Plenum, New York (1980).
27. Sudoh, M., H. Kamei, and S. Nakamura, "Donnan Dialysis Concentration of Cupric Ions," J. Chem. Eng. Jpn., 20, 34 (1987).
28. Verbrugge, N. W., and R. F. Hill, "Experimental and Theoretical Investigation of Perfluorosulfonic Acid Membranes Equilibrated with Aqueous Sulfuric Acid Solutions," J. Phys. Chem., 92, 6778 (1988).
29. Verbrugge, M. W., and R. F. Hill, "Ion and Solvent Transport in Ion-Exchange Membranes II. A Radiotracer Study of the Sulfuric-Acid, Nafion 117 System," J. Electrochem. Soc., 137, 893 (1990).
30. Westerman-Clark, G. B., and J. L. Anderson, "Experimental Verification of the Space Charge Model for Electrokinetics in Charged Capillary Pores," J. Electrochem. Soc., 130, 839 (1983).
31. Yang, Y., "Electrostatic Interactions and Electrokinetic Transport in Ion-exchange Membranes," PhD Diss., Tulane Univ., New Orleans, LA (1999).