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Self‐diffusion in liquids predicted by a theory of flow through granular media
Author(s) -
Sęk Jerzy P.
Publication year - 1996
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690421205
Subject(s) - dimensionless quantity , diffusion , volume (thermodynamics) , thermodynamics , capillary action , porous medium , flow (mathematics) , self diffusion , mechanics , porosity , chemistry , materials science , statistical physics , physics , computer science , organic chemistry , self service , computer security
A new semiempirical model for prediction of self‐diffusion phenomena in liquids is proposed. Assuming anlogy between the concept of a free volume in liquids and a porosity of a granular medium, a capillary model of the granular bed and the Kozeny‐Carman theory was applied to determine self‐diffusion coefficients in liquids. The dimensionless free volume in liquids was evaluated using a combination of the proposed dependence and an appropriate formula available in the literature. The new model was tested for 89 sets of data concerning self‐diffusion of different chemical substances at several values of a temperature. The average error of a prediction was between ± 1% and about 3% for some data points.