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Mathematical models for hollow‐fiber enzyme reactors
Author(s) -
Webster I. A.,
Shuler M. L.
Publication year - 1978
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.260201004
Subject(s) - fiber , chemistry , tube (container) , kinetics , chemical engineering , continuous stirred tank reactor , chromatography , membrane reactor , shell (structure) , volumetric flow rate , thermodynamics , materials science , membrane , organic chemistry , biochemistry , composite material , physics , quantum mechanics , engineering
Two analytically solved mathematical models are presented for a reactor ystem employing immobilized whole cells as a biocatalyst. The whole cells are entrapped or pumped through the shell side of the dialyzer reactor unit. The reactant mixture is circulated through the cialyzer tube side. Nutrient diffuses across the hollow fiber membrane from the tube side to the shell side, where it reacts to form product, which then back diffuses into the reactant mixture stream. The use of a high recirculation ratio of nutrient through the dialyzer tubes to nutrient feed rate to the entire system, allows the system to be modeled as a continuous‐flow stirred‐tank reactor. The first analysis details the development of an effectiveness‐factor correlation for first‐ and zero‐order kinetics. The second analysis presents the solution to an unsteady‐state‐system mass balance with Michaelis–menten kinetics.