Design Equations and Calculations

The space time (or the mean residence time), which is the time necessary to process one reactor volume of fluid based on entry conditions, is defined as:

combining this definition with the previously developed design equations for the CSTR (1) and PFR (2) yields:

In order to be able to solve these equations one needs to know how -r_A varies with X. The PFR follows Michaelis-Menten kinetics and (for enzyme catalytized digestion) the expression below can be used:

Since V_MAX, K_M and C_A0 all are constants this expression can be rewritten as:

Substituting the parameter values into equation 5 gives: