Abstract
A mathematical model has been developed for the process of extractive fermentation. The model rigorously treats the material balance, reaction kinetics, and liquid–liquid equilibrium relationships. Convergence is promoted through use of the Quasi-Newton Method. Extractive fermentation is particularly attractive for those bioreactions where the cell growth and product formation is inhibited by the product or other secondary cellular products. The model is illustrated for the production of ethanol. The results show an increase in specific productivity and the ability to process a more concentrated feed. However, volumetric productivity is reduced in the presence of a low capacity solvent.