RELUY - Batch Reactor of Luyben

The first-order consecutive exothermic reaction sequence, A B C, is carried out in a thick-walled, jacketed batch reactor, provided with both jacketed heating and cooling, as shown below. 

Component B is the desired product of the reaction, and the aim is to find the optimum batch time and temperature to maximise the selectivity for B. Saturated steam density data are taken from steam tables and fitted to a polynomial. The model and data for this example are taken from Luyben (1973). Marroquin and Luyben (1973) gave a full comparison of experimental results with a modelling and simulation study. 

5 Simulation Tools and Examples of Chemical Engineering Processes 

Total mass balance, assuming constant density 

For both heating and cooling, the energy balance remains the same except that differing values of the overall heat transfer coefficient now apply. Thus for the coolant Us is replaced by Uc. 

The balances for the reactor liquid are as follows Total mass balance, assuming constant density 

A mass balance for the jacket is used to calculate the temperature of the saturated steam. 

During the cooling period, the energy balance for the jacket is dT  

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