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An Approximate Solution for a Transient Two‐Phase Stirred Tank Bioreactor with Nonlinear Kinetics
Author(s) -
ValdésParada Francisco J.,
ÁlvarezRamírez José,
OchoaTapia J. Alberto
Publication year - 2005
Publication title -
biotechnology progress
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.572
H-Index - 129
eISSN - 1520-6033
pISSN - 8756-7938
DOI - 10.1021/bp050110f
Subject(s) - transient (computer programming) , steady state (chemistry) , pellets , bioreactor , nonlinear system , thermodynamics , continuous stirred tank reactor , reagent , pellet , kinetics , reaction rate , mechanics , chemistry , mathematics , materials science , physics , classical mechanics , computer science , biochemistry , catalysis , organic chemistry , quantum mechanics , composite material , operating system
The derivation of an approximate solution method for models of a continuous stirred tank bioreactor where the reaction takes place in pellets suspended in a well‐mixed fluid is presented. It is assumed that the reaction follows a Michaelis‐Menten‐type kinetics. Analytic solution of the differential equations is obtained by expanding the reaction rate expression at pellet surface concentration using Taylor series. The concept of a pelletapos;s dead zone is incorporated; improving the predictions and avoiding negative values of the reagent concentration. The results include the concentration expressions obtained for (a) the steady state, (b) the transient case, imposing the quasi‐steady‐state assumption for the pellet equation, and (c) the complete solution of the approximate transient problem. The convenience of the approximate method is assessed by comparison of the predictions with the ones obtained from the numerical solution of the original problem. The differences are in general quite acceptable.