Micro-Mixing and Ideal PFR

Define X ,(x) as the conversion of reactant A achieved in a space time x in an ideal PFR with complete micro-mixing. X,i ,(x) is calculated by solving the performance equation for fhe ideal PFR, for any reaction whose specific reaction rate is (-r,i(XJ). Here, the reaction may be of any order n. 

Define X j(0) as the conversion of A achieved in a batch reaction time 0 in the batch reactor. X i,(0) is calculated by solving 

Define X (x) as the conversion achieved in a space time x in an ideal PFR with completely segregated flow. 

This implies that the conversion in an ideal PER with complete micro-mixing is the same as the conversion in an ideal PER with completely segregated flow for reactions of any order. Thus, the extent of micro-mixing has no effect on the conversion in an ideal PER for reactions of any order. 

Appendix 3A Estimation of Peclet Number—Derivation of Equation Using Method of Moments 

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