Maximum segregation reactors, kinetics

Now consider a maximum segregation reactor (Danckwerts, 1958 Zwietering, 1959). Let C = pit) be the overall concentration in a batch reactor at time t. (This can be calculated for linear and for cooperative uniform kinetics.) Then the product overall concentration in a maximum segregation reactor is easily calculated as... 

In addition to these two macromixing reactor models, in this chapter, we also consider two micromixing reactor models for evaluating the performance of a reactor the segregated flow model (SFM), introduced in Chapters 13 to 16, and the maximum-mixedness model (MMM). These latter two models also require knowledge of the kinetics and of the global or macromixing behavior, as reflected in the RTD. 

These results are obtained by averaging the concentrations and reaction rate values over all the elements of the corresponding reactors. For zero order kinetics, such an analysis leads to Figure 4 wherein results are presented for a PFR and a completely segregated CSTR.. The case of completely mixed CSTR is trivial (a horizontal line at the maximum rate up to Cay >0). 

Figure 6.36. Plot of the dimensionless concentration of cell mass x and substrate s for a continuous culture as a function of the dimensionless mean residence time I as in Fig. 6.1b with Xq > 0 Calculated comparison between a CSTR with maximum mixing (ST m) or one with total segregation (ST J and a continuous plug flow reactor (PF), assuming Monod kinetics with a death rate (Tsai et al., 1969).

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