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Analysis of a diffusion‐limited hollow fiber reactor for the measurement of effective substrate diffusivities
Author(s) -
Davis Mark E.,
Watson Layne T.
Publication year - 1985
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260270213
Subject(s) - substrate (aquarium) , diffusion , fiber , materials science , mechanics , chemistry , thermodynamics , biological system , composite material , physics , oceanography , biology , geology
Mathematical analyses of a diffusion‐limited hollow fiber reactor for the measurement of effective substrate diffusivities are presented. An analytical solution to the mathematical model with a first order substrate consumption rate is used to show that the procedure of Webster and Shuler 1 is incorrect. A rigorous analysis that requires numerical solution is also outlined for any form of the substrate consumption rate. These analyses allow for more accurate estimations of effective substrate diffusivities since they should be used in conjunction with integral reactor behavior.