Continuously Stirred Tank Reactor problem
|Continuously Stirred Tank Reactor problem|
|Continuous control functions:||2|
|Interior point equalities:||2|
The Continuously Stirred Tank Reactor problem considers a chemical reaction that produces cyclopenthenol while using up cyclepentadiene "by an acid-catalyzed electrophilic hydration in aqueous solution", an exothermal reaction which needs to be cooled. This problem can e.g. be found in [Diehl2001]Author: M. Diehl
School: Universit\"at Heidelberg
Title: Real-Time Optimization for Large Scale Nonlinear Processes
The inflow into the tank contains only cyclopentadiene (substance ) with temperature and the flow rate can be controlled. The outflow rate is the same as the inflow rate to keep the liquid level in the tank constant. "The outflow contains a remainder of cyclopentadiene, the wanted product cyclepentenol (substance ) and two unwated by-products, cyclopentanediol (substance ) and dicyclopentadiene (substance ) with concentrations ." The latter two are not tracked in the problem as the substances are not of use. The reaction scheme is given as:
where the reaction rates are a function of the reactor temperature via an Arrhenius law
"The temperature in the cooling jacket is held down by an external heat exchanger whose heat removal rate can be controlled."
The problem is given by
where the various values are given in the Parameters section.
These fixed values are used within the model.
|Capacity of aqueous solution|
|Heat transfer coefficient for cooling jacket|
|Reactor surface area|
|Capacity of coolant solution|
|Starting concentration of subs.|
"The result of a steady state optimization of the yield with respect to the design parameter (feed temperature) and the two controls yields the steady stae and controls" and .
Model descriptions are available in