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Optimal control policy for substrate inhibited kinetics with enzyme deactivation in an isothermal CSTR
Author(s) -
San KaYiu,
Stephanopoulos Gregory
Publication year - 1983
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.690290311
Subject(s) - continuous stirred tank reactor , isothermal process , continuous reactor , kinetics , chemistry , substrate (aquarium) , process (computing) , thermodynamics , flow (mathematics) , optimal control , control theory (sociology) , control (management) , mechanics , computer science , mathematics , mathematical optimization , catalysis , organic chemistry , physics , oceanography , artificial intelligence , operating system , geology , quantum mechanics
A slow enzyme deactivation process taking place in parallel with the main enzymatic reaction in a continuous stirred‐tank reactor can cause a departure from the optimal operating conditions, or, even a reactor failure. One way of minimizing productivity losses and maintaining optimal reactor conditions is by properly manipulating the flow rate of the reactor. The optimal flow‐control policy for typical enzyme kinetics with parallel enzyme deactivation is derived. Both the complete and an approximate analytical solution are presented. The approximate solution, which is actually a quasisteady‐state solution, is a very good approximation when the deactivation process is slow compared to the main enzymatic reaction and can be easily implemented as a feedback control based on the current state of the reactor. If the deactivation kinetics is the same as that of the main reaction and the cost of the reactant is negligible compared to that of the product, the quasisteady‐state solution is indeed the exact solution.