메뉴 건너뛰기




Volumn 124, Issue 1, 1997, Pages 77-91

An improved Space-Charge model for flow through charged microporous membranes

Author keywords

Charge regulation; Electroosmosis; Finite ion size; Microporous and porous membrane

Indexed keywords

AQUEOUS SOLUTION; ARTICLE; DIELECTRIC CONSTANT; ELECTRIC POTENTIAL; ELECTROLYTE TRANSPORT; ENERGY CONVERSION; HYDRATION; HYDRODYNAMICS; MATHEMATICAL PARAMETERS; MEMBRANE CONDUCTANCE; MEMBRANE MODEL; MEMBRANE TRANSPORT; PHYSICAL MODEL; PRIORITY JOURNAL; QUANTITATIVE ASSAY; SURFACE PROPERTY;

EID: 0031553527     PISSN: 03767388     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0376-7388(96)00229-3     Document Type: Article
Times cited : (70)

References (49)
  • 1
    • 84982659355 scopus 로고
    • The theory of measurement of osmotic pressure
    • [1] A.J. Staverman, The theory of measurement of osmotic pressure, Rec. Trav. Chim. Pays-Bas, 70 (1951) 344.
    • (1951) Rec. Trav. Chim. Pays-Bas , vol.70 , pp. 344
    • Staverman, A.J.1
  • 4
    • 36149006492 scopus 로고
    • Reciprocal relations in irreversible processes I
    • [4] L. Onsager, Reciprocal relations in irreversible processes I, Phys. Rev., 37 (1931) 405.
    • (1931) Phys. Rev. , vol.37 , pp. 405
    • Onsager, L.1
  • 5
    • 36149006040 scopus 로고
    • Reciprocal relations in irreversible processes II
    • [5] L. Onsager, Reciprocal relations in irreversible processes II, Phys. Rev., 38 (1931) 2265.
    • (1931) Phys. Rev. , vol.38 , pp. 2265
    • Onsager, L.1
  • 6
    • 0008811574 scopus 로고
    • Zur theorie der anomalen osmose
    • [6] R. Schlogl, Zur Theorie der anomalen Osmose, Z. Phys. Chem., Neue Folge, 3 (1955) 73.
    • (1955) Z. Phys. Chem., Neue Folge , vol.3 , pp. 73
    • Schlogl, R.1
  • 7
    • 33947473119 scopus 로고
    • Electrokinetic phenomena in charged microcapillaries
    • [7] L. Dresner, Electrokinetic phenomena in charged microcapillaries, J. Phys. Chem., 67 (1963) 1635.
    • (1963) J. Phys. Chem. , vol.67 , pp. 1635
    • Dresner, L.1
  • 8
    • 0001204620 scopus 로고
    • Flows through charged membranes. I. Flip-flop current vs. voltage relation
    • [8] Y. Kobatake and H. Fujita, Flows through charged membranes. I. Flip-flop current vs. voltage relation, J. Chem. Phys., 40 (1964) 2212.
    • (1964) J. Chem. Phys. , vol.40 , pp. 2212
    • Kobatake, Y.1    Fujita, H.2
  • 9
    • 36849124600 scopus 로고
    • Electrokinetic energy conversion in ultrafine capillaries
    • [9] F.A. Morrison and J.F. Osterle, Electrokinetic energy conversion in ultrafine capillaries, J. Chem. Phys., 43 (1965) 2111.
    • (1965) J. Chem. Phys. , vol.43 , pp. 2111
    • Morrison, F.A.1    Osterle, J.F.2
  • 10
    • 36849111237 scopus 로고
    • Membrane transport characteristics of ultrafine capillaries
    • [10] R.J. Gross and J.F. Osterle, Membrane transport characteristics of ultrafine capillaries, J. Chem. Phys., 49 (1968) 228.
    • (1968) J. Chem. Phys. , vol.49 , pp. 228
    • Gross, R.J.1    Osterle, J.F.2
  • 11
    • 0001178841 scopus 로고
    • Reverse electrodialysis in charged capillary membranes
    • [11] J.C. Fair and J.F. Osterle, Reverse electrodialysis in charged capillary membranes, J. Chem. Phys., 54 (1971) 3307.
    • (1971) J. Chem. Phys. , vol.54 , pp. 3307
    • Fair, J.C.1    Osterle, J.F.2
  • 13
    • 0000356429 scopus 로고
    • Anomalous effects during electrolyte osmosis across charged porous membranes
    • [13] V. Sasidhar and E. Ruckenstein, Anomalous effects during electrolyte osmosis across charged porous membranes, J. Colloid Interface Sci., 85 (1982) 332-362.
    • (1982) J. Colloid Interface Sci. , vol.85 , pp. 332-362
    • Sasidhar, V.1    Ruckenstein, E.2
  • 14
    • 0022145219 scopus 로고
    • The application of space-charge model to the permeability properties of charged microporous membranes
    • [14] H.J.M. Hijnen, J. van Daalen and J.A.M. Smit, The application of space-charge model to the permeability properties of charged microporous membranes, J. Colloid Interface Sci., 107 (1985) 525.
    • (1985) J. Colloid Interface Sci. , vol.107 , pp. 525
    • Hijnen, H.J.M.1    Van Daalen, J.2    Smit, J.A.M.3
  • 15
    • 0000613934 scopus 로고
    • Theory of electrokinetic flow in fine cylindrical capillaries at high zeta-potentials
    • [15] S. Levine, J.R. Marriott, G. Neale and N. Epstein, Theory of electrokinetic flow in fine cylindrical capillaries at high zeta-potentials, J. Colloid Interface Sci., 52 (1975) 136.
    • (1975) J. Colloid Interface Sci. , vol.52 , pp. 136
    • Levine, S.1    Marriott, J.R.2    Neale, G.3    Epstein, N.4
  • 16
    • 84985598279 scopus 로고
    • Electroosmosis and electrolyte conductance in charged microcapillaries
    • [16] W.H. Koh and J.L. Anderson, Electroosmosis and electrolyte conductance in charged microcapillaries, AIChE J., 21 (1975) 1176.
    • (1975) AIChE J. , vol.21 , pp. 1176
    • Koh, W.H.1    Anderson, J.L.2
  • 17
    • 0001703312 scopus 로고
    • Electrokinetic parammeters for capillaries of different geometries
    • [17] J.L. Anderson and W.-H. Koh, Electrokinetic parammeters for capillaries of different geometries, J. Colloid Interface Sci., 59 (1977) 149.
    • (1977) J. Colloid Interface Sci. , vol.59 , pp. 149
    • Anderson, J.L.1    Koh, W.-H.2
  • 18
    • 0020737049 scopus 로고
    • Experimental verification of the Space-Charge model for electrokinetics in charged microporous membranes
    • [18] G.B. Westermann-Clark and J.L. Anderson, Experimental verification of the Space-Charge model for electrokinetics in charged microporous membranes, J. Electrochem. Soc., 130 (1983) 839.
    • (1983) J. Electrochem. Soc. , vol.130 , pp. 839
    • Westermann-Clark, G.B.1    Anderson, J.L.2
  • 19
    • 0020124412 scopus 로고
    • Anion transport in thinchannel cation exchange membranes
    • [19] W.-H. Koh and H.P. Silverman, Anion transport in thinchannel cation exchange membranes, J. Membrane Sci., 13 (1983) 279.
    • (1983) J. Membrane Sci. , vol.13 , pp. 279
    • Koh, W.-H.1    Silverman, H.P.2
  • 21
    • 0001030629 scopus 로고
    • Transport of electrolytes in charged pores: Analysis using the method of spatial averaging
    • [21] E.H. Cwirko and R.G. Carbonell, Transport of electrolytes in charged pores: analysis using the method of spatial averaging, J. Colloid Interface Sci., 129 (1989) 513.
    • (1989) J. Colloid Interface Sci. , vol.129 , pp. 513
    • Cwirko, E.H.1    Carbonell, R.G.2
  • 22
    • 0001215856 scopus 로고
    • Experimental and theoretical investigation of perfluorosulfonic acid membranes equilibrated with aqueous sulfuric acid solutions
    • [22] M.W. Verbrugge and R.F. Hill, Experimental and theoretical investigation of perfluorosulfonic acid membranes equilibrated with aqueous sulfuric acid solutions, J. Phys. Chem., 92 (1988) 6778.
    • (1988) J. Phys. Chem. , vol.92 , pp. 6778
    • Verbrugge, M.W.1    Hill, R.F.2
  • 23
    • 0025458958 scopus 로고
    • Development of a space-charge transport model for ion-exchange membranes
    • [23] A.G. Guzman-Garcia, P.N. Pintauro, M.W. Verbrugge and R.F. Hill, Development of a space-charge transport model for ion-exchange membranes, AIChE J., 36 (1990) 1061.
    • (1990) AIChE J. , vol.36 , pp. 1061
    • Guzman-Garcia, A.G.1    Pintauro, P.N.2    Verbrugge, M.W.3    Hill, R.F.4
  • 24
    • 0026833106 scopus 로고
    • Ionic equilibria in ion-exchange membranes: A comparison of pore model predictions with experimental results
    • [24] E.H. Cwirko and R.G. Carbonell, Ionic equilibria in ion-exchange membranes: a comparison of pore model predictions with experimental results, J. Membrane Sci., 67 (1992) 211.
    • (1992) J. Membrane Sci. , vol.67 , pp. 211
    • Cwirko, E.H.1    Carbonell, R.G.2
  • 25
    • 0028671780 scopus 로고
    • Water orientation and ion solvation effects during multicomponent salt partitioning in a nafion cation exchange membrane
    • [25] J.R. Bontha and P.N. Pintauro, Water orientation and ion solvation effects during multicomponent salt partitioning in a nafion cation exchange membrane, Chem. Eng. Sci., 49 (1994) 3835.
    • (1994) Chem. Eng. Sci. , vol.49 , pp. 3835
    • Bontha, J.R.1    Pintauro, P.N.2
  • 26
    • 0028466093 scopus 로고
    • Effect of dielectric saturation on disjoining pressure in thin films of aqueous electrolytes
    • [26] S. Basu and M.M. Sharma, Effect of dielectric saturation on disjoining pressure in thin films of aqueous electrolytes, J. Colloid Interface Sci., 165 (1994) 355.
    • (1994) J. Colloid Interface Sci. , vol.165 , pp. 355
    • Basu, S.1    Sharma, M.M.2
  • 27
    • 0026833109 scopus 로고
    • Interpretation of transport coefficients in nafion using a parallel pore model
    • [27] E.H. Cwirko and R.G. Carbonell, Interpretation of transport coefficients in nafion using a parallel pore model, J. Membrane Sci., 67 (1992) 227.
    • (1992) J. Membrane Sci. , vol.67 , pp. 227
    • Cwirko, E.H.1    Carbonell, R.G.2
  • 28
    • 0001520306 scopus 로고
    • Zur kinetik der in lösung befindlichen Körper. I. Theorie der Diffusion
    • [28] W. Nemst, Zur Kinetik der in Lösung befindlichen Körper. I. Theorie der Diffusion, Z. Phys. Chem., 2 (1888) 613.
    • (1888) Z. Phys. Chem. , vol.2 , pp. 613
    • Nemst, W.1
  • 29
    • 84944486733 scopus 로고
    • Über die erregung von electricität und wärme in electrolyten
    • [29] M. Planck, Über die Erregung von Electricität und Wärme in Electrolyten, Ann. Phys. Chem., 39 (1880) 161.
    • (1880) Ann. Phys. Chem. , vol.39 , pp. 161
    • Planck, M.1
  • 30
    • 34250928962 scopus 로고
    • Volumen und hydratationswärme der ionen
    • [30] M. Born, Volumen und Hydratationswärme der Ionen, Z. Phys., 1 (1920) 45.
    • (1920) Z. Phys. , vol.1 , pp. 45
    • Born, M.1
  • 31
    • 0000755144 scopus 로고
    • Effects of dielectric saturation upon the diffuse double layer and the free energy of hydration of ions
    • [31] D.C. Grahame, Effects of dielectric saturation upon the diffuse double layer and the free energy of hydration of ions, J. Chem. Phys., 18 (1950) 903.
    • (1950) J. Chem. Phys. , vol.18 , pp. 903
    • Grahame, D.C.1
  • 32
    • 36849123862 scopus 로고
    • The dielectric constant of water and the saturation effect
    • [32] F. Booth, The dielectric constant of water and the saturation effect, J. Chem. Phys., 19 (1951) 391; 1327 and 1615.
    • (1951) J. Chem. Phys. , vol.19 , pp. 391
    • Booth, F.1
  • 33
    • 0011343542 scopus 로고
    • Modified Nernst - Planck equation for hydration effects
    • [33] A.J. Babchin and J. Masliyah, Modified Nernst - Planck equation for hydration effects, J. Colloid Interface Sci., 160 (1993) 258.
    • (1993) J. Colloid Interface Sci. , vol.160 , pp. 258
    • Babchin, A.J.1    Masliyah, J.2
  • 34
    • 0003644727 scopus 로고
    • Electromechanical Dynamics. Part III
    • Wiley, New York
    • [34] H.H. Woodson and J.R. Melcher, Electromechanical Dynamics. Part III. Elastic and Fluid Media, Wiley, New York, 1968, p. G11.
    • (1968) Elastic and Fluid Media
    • Woodson, H.H.1    Melcher, J.R.2
  • 35
    • 0001197291 scopus 로고
    • On the electrical double layer theory. I. A numerical method for solving a generalized Poisson - Boltzmann equation
    • [35] Y. Gur, I. Ravina and A.J. Babchin, On the electrical double layer theory. I. A numerical method for solving a generalized Poisson - Boltzmann equation, J. Colloid Interface Sci., 64 (1978) 326.
    • (1978) J. Colloid Interface Sci. , vol.64 , pp. 326
    • Gur, Y.1    Ravina, I.2    Babchin, A.J.3
  • 36
    • 30244508837 scopus 로고
    • On the electrical double layer theory. II. The Poisson - Boltzmann equation including hydration forces
    • [36] Y. Gur, I. Ravina and A.J. Babchin, On the electrical double layer theory. II. The Poisson - Boltzmann equation including hydration forces, J. Colloid Interface Sci., 64 (1978) 333.
    • (1978) J. Colloid Interface Sci. , vol.64 , pp. 333
    • Gur, Y.1    Ravina, I.2    Babchin, A.J.3
  • 37
    • 37049137333 scopus 로고
    • Site-binding model for the electrical double layer at the oxide - Water interface
    • [37] D.E. Yates, S. Levine and T.W. Healy, Site-binding model for the electrical double layer at the oxide - water interface, J. Chem. Soc. Faraday Trans. I, 70 (1974) 1807.
    • (1974) J. Chem. Soc. Faraday Trans. I , vol.1 , pp. 1807
    • Yates, D.E.1    Levine, S.2    Healy, T.W.3
  • 38
    • 0000401482 scopus 로고
    • Zur theorie der starken electrolyte
    • [38] M. Eigen and E. Wicke, Zur Theorie der starken Electrolyte, Naturwissenschaften, 38 (1951) 453.
    • (1951) Naturwissenschaften , vol.38 , pp. 453
    • Eigen, M.1    Wicke, E.2
  • 39
    • 0000222829 scopus 로고
    • Über den einfluβ des raumbedarfs von ionen in wäβriger lösung auf ihre verteilung im elektrischen feld und ihre aktivitätsakoeffizienten
    • [39] E. Wicke and M. Eigen, Über den Einfluβ des Raumbedarfs von Ionen in wäβriger Lösung auf ihre Verteilung im elektrischen Feld und ihre Aktivitätsakoeffizienten, Z. Electrochem., 56 (1952) 551.
    • (1952) Z. Electrochem. , vol.56 , pp. 551
    • Wicke, E.1    Eigen, M.2
  • 40
    • 0001002983 scopus 로고
    • Raumbedarf und aktivitätskoeffizienten starker elektrolyte in wäβriger lösung
    • [40] E. Wicke and M. Eigen, Raumbedarf und Aktivitätskoeffizienten starker Elektrolyte in wäβriger Lösung, Z. Naturforsch., 8a (1953) 161.
    • (1953) Z. Naturforsch. , vol.8 A , pp. 161
    • Wicke, E.1    Eigen, M.2
  • 41
    • 0000789098 scopus 로고
    • Berichte der bunsengesellschaft fur physikalische chemie
    • [41] E. Wicke and M. Eigen, Berichte der Bunsengesellschaft fur Physikalische Chemie, Z. Electrochem., 57 (1953) 319.
    • (1953) Z. Electrochem. , vol.57 , pp. 319
    • Wicke, E.1    Eigen, M.2
  • 42
    • 26844490023 scopus 로고
    • The thermodynamics of electrolytes at higher concentration
    • [42] M. Eigen and E. Wicke, The thermodynamics of electrolytes at higher concentration, J. Phys. Chem., 58 (1954) 702.
    • (1954) J. Phys. Chem. , vol.58 , pp. 702
    • Eigen, M.1    Wicke, E.2
  • 44
    • 34250273116 scopus 로고
    • Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
    • [44] P. Kaps and P. Rentrop, Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations, Numer. Mathematik, 33 (1979) 55.
    • (1979) Numer. Mathematik , vol.33 , pp. 55
    • Kaps, P.1    Rentrop, P.2
  • 45
    • 0024680654 scopus 로고
    • The electric-potential profile in ion-exchange membrane pores
    • [45] P.N. Pintauro and M.W. Verbrugge, The electric-potential profile in ion-exchange membrane pores, J. Membrane Sci., 44 (1989) 197.
    • (1989) J. Membrane Sci. , vol.44 , pp. 197
    • Pintauro, P.N.1    Verbrugge, M.W.2
  • 46
    • 0001287580 scopus 로고
    • On dielectric saturation modelling in a continuum solvent
    • [46] J.E. Curry and D.A. McQuarrie, On dielectric saturation modelling in a continuum solvent, J. Colloid Interface Sci., 154 (1992) 289.
    • (1992) J. Colloid Interface Sci. , vol.154 , pp. 289
    • Curry, J.E.1    McQuarrie, D.A.2
  • 47
    • 0011300011 scopus 로고
    • A unified treatment of the thermodynamics of steady-state energy conversion
    • [47] J.F. Osterle, A unified treatment of the thermodynamics of steady-state energy conversion, Appl. Sci. Res. A, 12 (1964) 425.
    • (1964) Appl. Sci. Res. A , vol.12 , pp. 425
    • Osterle, J.F.1
  • 48
    • 0000028109 scopus 로고
    • Analysis of the Born model for hydration of ions
    • [48] M. Bucher and T.L. Porter. Analysis of the Born model for hydration of ions, J. Phys. Chem., 90 (1986) 3406.
    • (1986) J. Phys. Chem. , vol.90 , pp. 3406
    • Bucher, M.1    Porter, T.L.2
  • 49
    • 1542790645 scopus 로고
    • Electrical conductivities in oil-bearing sands
    • June
    • [49] W.H. Waxman and L.J.M. Smits, Electrical conductivities in oil-bearing sands, Soc. Petroleum Eng. J., June (1968) 107.
    • (1968) Soc. Petroleum Eng. J. , pp. 107
    • Waxman, W.H.1    Smits, L.J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.