Abstract
The kinetic equation to describe the adsorption process of ionic surfactants (derived in part 1) will be solved numerically. The results show the effect of parameters such as ion valencyz, thickness of theDL x −1, and surfactant parametersΓeq,K, andK ads on the adsorption process. The results can be used to decide whether the model can explain experimental data on charged surfactant molecules or not.
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Abbreviations
- c :
-
concentration
- ce :
-
bulk concentration in equilibrium
- C :
-
=c/c e dimensionless concentration
- D :
-
diffusion coefficient
- e :
-
proton charge
- F :
-
Faraday's constant
- f 0 :
-
=eΨ/kTdimensionless potential
- k :
-
Bolzmann's constant
- K ads :
-
rate constant of adsorption
- K des :
-
rate constant of desorption
- K(f 0):
-
coefficient of electrostatic deceleration
- K :
-
=Γ eq /c e Henry's constant
- R :
-
gas law constant
- t :
-
time
- T :
-
absolute temperature
- z :
-
electrovalence
- Γ 0 :
-
adsorption of ions
- Γ eq :
-
equilibrium value of Γo
- Γ :
-
=Γ 0/Γ eq dimensionless adsorption
- α, Β :
-
constants
- ɛ :
-
dielectric constants
- x :
-
Debye-Hückel reciprocal distance
- θ :
-
=Dt/K 2 dimensionless time
- Ψ :
-
electric potential
Referencess
Dukhin SS, Miller R, Kretzschmar G (1983) Colloid & Polymer Sci 261:335
Dukhin SS, Malkin ES, Michailovskij VN (1976) Koll Zh 38:37
Panaiotov I, Petrov J (1969) God Sofii Univ Khim Fak 64:385 (Publ 1972)
Baret JF (1969) J Colloid Interface Sci 30:1
Miller R, Kretzschmar G (1980) Colloid Polymer Sci 258:85
Ward AFH, Tordai L (1946) J Chem Phys 14:453
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Miller, R., Dukhin, S.S. & Kretzschmar, G. On the theory of adsorption kinetics of ionic surfactants at fluid interfaces. Colloid & Polymer Sci 263, 420–423 (1985). https://doi.org/10.1007/BF01410392
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DOI: https://doi.org/10.1007/BF01410392