Application of Age-Distribution Functions

The direct application of RTD to predict chemical reactor behavior is based on considering the extents of chemical reaction in the fluid elements and then summing over all the elements when they exit from the reactor. In other words, each fluid element is considered as a little batch reactor, and the total reactor conversion is the average over fluid elements. Mathematically, this can be stated as  

Mean concentration of reactant leaving the reactor unreacted 

Fraction of exit stream that consists of elements of age (0,0 + d0) 

NONIDEAL FLOW PATTERNS AND POPULATION BALANCE MODELS 

Now the exit concentrations can be easily found for various RTD. For a perfectly mixed reactor, the use of Eq. (h) of Ex. 12.2-1 gives 

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