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Unsteady mass transfer in a long composite cylinder with interfacial resistances
Author(s) -
Stevenson James F.
Publication year - 1974
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.690200305
Subject(s) - mass transfer , cylinder , thermal diffusivity , homogeneous , composite number , mechanics , membrane , materials science , tube (container) , permeability (electromagnetism) , composite material , thermodynamics , chemistry , physics , geometry , mathematics , biochemistry
A solution is given for unsteady state concentration profiles in an infinitely long composite cylinder resulting from a step‐change in concentration in a large reservoir surrounding the cylinder. The composite cylinder consists of an inner cylinder with diffusivity D 1 surrounded by a permeable tube with diffusivity D 2 and has interfacial mass transfer resistances at the cylinder‐tube and tube‐reservoir interfaces. Numerical values are given for the first eight roots and various coefficients of the solution for physical properties typical of tubular (hollow fiber) membranes. These results can be used in the analysis of data from unsteady state mass transfer experiments to determine the permeability of homogeneous tubular membranes. A simple, approximate method for data analysis is suggested for the rapid estimation of the permeability of both homogeneous and asymmetric (skinned) tubular membranes.