Column Section Profiles Finite Reflux

6 COLUMN SECTION PROFILES FINITE REFLUX 9.6.1 Operating Conditions 

The total reflux scenario discussed in Section 93 displays a more theoretical operation of a MCS, and is unlikely to find any relevance in the commercial sector. Operation of a MCS at finite reflux, however, presents situations that are of far more 

Case 1 would represent, for example, the terminating sections (e.g., rectifying) of an entire membrane column configuration. Case 2, alternatively, would be a general MCS placed anywhere within the membrane column or cascade. 

Consider the conditions of operation for Case 1. Substituting these into Equation 9.11 yields 

Notice that the DPEs describing the scenarios in Cases 1 and 2 (Equations 9.18 and 9.20) are mathematically similar to each other. Each comprise of the addition of two vectors, namely the separation vector, S = x —y, and the mixing vector, M = Xa — X. The only difference between the two cases is that the difference point (Xa) is equal to the composition of the product being removed in Case 1. To avoid repetition, these two cases will be discussed simultaneously, due to the similar nature of their equations. 

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Recall that for all our previous designs we had to satisfy the condition for all products to be connected by a set of profiles for the design to be classified as feasible. The finite reflux Petlyuk is no different, but as alluded to in the infinite reflux case, the thermal coupling in two sections means this composition matching constraint is a little more complicated. Thus, let us consider where we need to search for profile intersections in the column by systematically highlighting areas of interest. 

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