The Feed Batch Fermenter

This bioreactor mode refers to a tank fermenter operated semi-continuously. The rate of the feed flow, F0, may be variable, and there is no outlet flow rate from the fermentor. As a consequence of feeding the reactor volume will change with respect to time. 

The balance equations then become for constant density 

Here the quantities VS, and VX, represent the masses of substrate and biomass, respectively, in the reactor. In a simulation, dividing these masses by the volume V gives the concentrations Si and X as a function of time and which are needed in the appropriate kinetic relationships to calculate rs and rx 

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