Premium
An analysis of carrier‐facilitated transport
Author(s) -
Smith Kenneth A.,
Meldon Jerry H.,
Colton Clark K.
Publication year - 1973
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.690190115
Subject(s) - perturbation (astronomy) , asymptotic analysis , constraint (computer aided design) , power series , perturbation theory (quantum mechanics) , kinetics , chemistry , facilitated diffusion , chemical physics , diffusion , statistical physics , physics , mathematical analysis , mathematics , classical mechanics , thermodynamics , membrane , quantum mechanics , geometry , biochemistry
The physical and mathematical characteristics of carrier‐facilitated transport in a liquid film are examined for a reaction scheme of the form A + B ⇄ AB , in which A is the permeating species and B and AB are diffusable species which are constrained not to leave the film. For thin films, a solution is developed as a perturbation from purely physical diffusion and is expressed as a second‐order power series. For thick films, a solution is developed as a perturbation from a state in which the species concentrations at any one point within the film are related by an equilibrium constraint. This development utilizes the techniques of matched asymptotic analysis. Taken together, these solutions provide an excellent estimate of the facilitation for a film of any thickness, as shown by comparison with numerical results.