Example Three-Dimensional Van de Vusse Kinetics Revisited

3 Example Three-Dimensional Van de Vusse Kinetics Revisited 

1 Optimal Continuous Structure In Section 7.2.1, we examined the nature of the optimal continuous reactor structure for the three-dimensional Van de Vusse reaction scheme. Let us now investigate the associated optimal batch structure for the same problem. This exercise will demonstrate the role that DSRs, and by extension fed-batch reactors with varying a policies, play in the formation the AR boundary. 

The system under investigation is identical to the system established in S ection 7.2.1. As a result, the AR for the batch system will be constructed in the same space and feed point (Cf = [CAf, CBf, Cof] = [1,0, 0] mol/L). We are also able to utilize the optimal reactor structures, developed in Section 7.2.1, and convert them to batch structures without the need to perform additional analysis. The critical a policy for the DSR, given in Section 7.2.1.5, will be used for the F/V policies in the batch system. 

By consideration of Equation 7.3, together with the rate expressions and feed point provided earlier, the AR may be constructed in the standard fashion given in Section 7.2.1. That is, construction of the AR occurs with the assumption that continuous operation is available. 

Path ABC The first structure is a DSR from the feed (point A) to the critical DSR equilibrium (point B), followed by a PFR to equilibrium (point C). 

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