Summary
A model of diffusion controlled adsorption of surfactants from micellar solutions is given and numerically solved. The model used to describe the micelle kinetics corresponds to a formation-dissolution mechanism. Parameters like micelle concentration, aggregation number, rate constant of formation or dissolution of micelles influencing the adsorption process are discussed.
Zusammenfassung
Es wird ein Modell für die diffusionskontrollierte Adsorption von Tensiden aus mizellaren Lösungen angegeben und numerisch gelöst. Das dabei zugrundegelegte Modell für die Mizellkinetik entspricht einem Bildungs-Auflösungs-Mechanismus. Es wird der Einfluß von Parametern wie Mizellkonzentration, Assoziationsgrad, Geschwindigkeitskonstanten der Mizellkinetik auf die Adsorptionskinetik diskutiert.
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Abbreviations
- c :
-
concentration
- c io :
-
bulk concentration ofc i at equilibrium
- D i :
-
diffusion coefficientt
- t :
-
time
- x :
-
distance from the surface
- γ 1 :
-
surface concentration
- n :
-
aggregation number
- k f :
-
rate constant of micelle formation
- k d :
-
rate constant of micelle dissolution
- a :
-
parameter of the Langmuir isothermm 1
- m 1 :
-
γ 1o /c 1o
- α 1 :
-
D n/D 1 α 2
- C i :
-
c no/c 1o
- α 3 :
-
nk fm1 2 c 1o n−1 D 1 −1
- C i :
-
c i/c io
- Γ 1 :
-
γ 1/γ 1o
- X :
-
x/m 1
- T :
-
D 1 t/m 1 2
- 1:
-
monomeric surfactant molecules
- n :
-
micelles
References
Milner, S. R., Phil. Mag. (6)13, 96 (1907).
Bond, W. N., H. O. Puls, Phil. Mag. (7)24, 864 (1937).
Langmuir, I., V. J. Schäfer, J. Amer. Chem. Soc.59, 2400 (1937).
Ward, A. F. H., L. Tordai, J. Chem. Phys.14, 453 (1946).
Hansen, R. S., J. Colloid Sci.16, 549 (1961).
Petrov, J., R. Miller, Colloid & Polymer Sci.255, 669 (1977).
Sutherland, K. L., Austr. J. Sci. Res.A5, 683 (1952).
Bois, A. G., J. F. Baret, R. Roux, Colloid & Polymer Sci.249, 1144 (1971).
Doss, K. S. G., Kolloid-Z.86, 205 (1939).
Miller, R., G. Kretzschmar, Colloid & Polymer Sci.258, 85 (1980).
Baret, J. F., J. Colloid Interface Sci.30, 1 (1969).
Krotov, V. V., A. I. Rusanov, Kolloid Zh.39, 48 (1977).
Krotov, V. V., A. I. Rusanov, Kolloid. Zh.39, 58 (1977).
Miller, R., K. Lunkenheimer, G. Kretzschmar, Colloid & Polymer Sci.257, 1118 (1979).
Miller, R., Colloid & Polymer Sci.259, 375 (1981).
Yasunaga, T., K. Takeda, N. Tatsumoto, H. Uehara, Proc. NATO Adv. Study Inst., Set. C18, 143 (1974).
Aniansson, E. A. G., S. N. Wall, M. Almgren, H. Hoffmann, I. Kielmann, W. Ulbricht, R. Zana, J. Lang, C. Tondre, J. Phys. Chem.80, 905 (1976).
Hoffmann, H., R. Nagel, G. Platz, W. Ulbricht, Colloid & Polymer Sci.254, 812 (1976).
Tondre, C., R. Zana, J. Colloid Interface Sci.66, 544 (1978).
Baumgardt, K., G. Klar, R. Strey, Ber. Bunsenges. Phys. Chem.83, 1222 (1979).
Muller, N., in: „Solution Chemistry of Surfactants”, Ed. K. L. Mittal, Plenum Press, New York, Vol. 1, 267 (1979).
Kahlweit, M., M. Teubner, Adv. Colloid Interface Sci.13, 1 (1980).
Lucassen, J., J. Chem. Soc. Faraday172, 76 (1976).
Fainerman, V. B., Kolloid Zh.42, 1143 (1980).
Kreshek, G. C., E. Hamori, G. Davenport, H. A. Scheraga, J. Amer. Chem. Soc.88, 246 (1966).
Robinson, B. H., N. C. White, Proc. NATO Adv. Study Inst., Ser. C,18, 255 (1974).
Aniansson, E. A. G., Proc. NATO Adv. Study Inst., Ser. C,18, 245 (1974).
Aniansson, E. A. G., S. N. Wall, J. Phys. Chem.78, 1024 (1974).
Muller, N., J. Phys. Chem.79, 287 (1975).
McQueen D. H., J. J. Hermans, J. Colloid Interface Sci.39, 389 (1972).
Smith, G. D., “Numerical Solution of Partial Differential Equations”, Oxford University Press (London 1969).
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Miller, R. Adsorption kinetics of surfactants from micellar solutions. Colloid & Polymer Sci 259, 1124–1128 (1981). https://doi.org/10.1007/BF01524900
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DOI: https://doi.org/10.1007/BF01524900