Micro-Mixing and the Order of Reaction

Two fluid elements moving through an incremental volume Al/ of the reactor. 

In the completely segregated flow case, both the fluid elements move through the incremental volume as two separate units without mixing with each other. Changes in fractional conversion of A AXi and AX in the two fluid elements are given by 

The net change in the fractional conversion of A, AX, through the incremental volume AV is 

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