Dynamics of the Fed-batch Reactor

Like the component balance for the biomass, the component balance for the substrate can be written as  

If aeration is taken into account, the oxygen balance can be given by  

The model for a continuously operated reactor with inlet flow and outlet flow Fout is similar to the model for a fed-batch reactor. In this case, the volumetric flow balance can be written as  

Equation (17.17) can be combined with Eqa (17.16) to give equation (17.12) again. Similarly, Eqns. (17.13) to (17.15) also hold for the continuous reactor. 

---