Dynamic adsorption in a radial flow of a solution around a spherical cavity
S. V. Amel'kin and V. L. Mokan
Tyumen' Department, Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Tyumen' 625000
Pages: 424-431
Abstract
The paper studies the local variation of
the concentration of a neutral dilute
solution during its radial flow around a
spherical cavity in the approximations
of an adsorption layer and the Langmuir
adsorption kinetics. The authors used
the boundary-layer method and the method
of asymptotic series expansion of the
solution in a small parameter, which is
the ratio of the time of establishing an
adsorption equilibrium to the time of
establishing a steady diffusion layer
around the cavity. The equations
obtained for a zeroth approximation were
studied analytically and numerically. In
the case of high-frequency oscillations
of the cavity in the solution, a
solution of the problem was found that
corresponds to the process of
"straightened" adsorption or "pumping"
an admixture into the adsorption layer.
|
