On the application of quantitative models of diffusion-controlled adsorption kinetics at fluid interfaces |
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Authors: | R Miller M Ziller |
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Institution: | (1) Present address: Institute of Organic Chemistry, Academy of Sciences of the G.D.R., Berlin, G.D.R. |
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Abstract: | The model of diffusion-controlled adsorption kinetics can be solved by different mathematical procedures. For the most important case of a Langmuir isotherm, useful solutions are summarized and extended and the ranges of application are given. New approximations are presented which can be applied to most experiments in practice.Nomenclature
a
i
coefficients of the collocation solution
-
a
L
Langmuir parameter
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a
interaction parameter of the Frumkin isotherm
-
n
coefficients of a power series
-
c
surfactant bulk concentration
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c
0
equilibrium bulk concentration
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D
diffusion coefficient
-
surface concentration
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0
equilibrium surface concentration
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t8
maximum surface concentration
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(
x
)
Gamma function
-
t
time
-
dimensionless time
Dedicated to the 60th birthday of G. Kretzschmar. |
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Keywords: | Adsorption kinetics surfactant transport Langmuir isotherm |
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