Constrained AR Construction Using Only PFRs

In this scenario, an adiabatic system with a reactor type constraint is investigated. Specifically, the construction of the AR shall be carried out using PFRs only. The techniques developed in this section will be utilized in later examples, when interstage and cold-shot cooling in an adiabatic system is employed. The AR will be constructed in residence time space to find a reactor configuration that minimizes the total reactor volume for a given output concentration. 

1 Problem Statement We shall assume that a single reaction is present as follows  

Tjd is the adiabatic temperature rise over the reactor, specified here as Tad = 200 K and Tjj, is the feed temperature to the reactor. In this work, we assume that Tj = 300 K. 

2 Construction Using Only PFRs a) Motivation Since construction of the AR has been constrained to the use of PFRs only, our construction procedure must be modified accordingly. The method of constmction follows an iterative procedure that is similar to the successive batch experiments performed for the BTX system in Chapter 3. 

Observe also that the tangency points (E, G, and I) move toward the left of the plot. Each additional stage produces a smaller change in the boundary. In the limit of many stages, we reach the lower boundary of the true AR for the system. 

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