The effect of automatic ph maintenance on steady state cultivation regimes and their stability. A theoretical study of the case of a perfect ph controller and perfect stirring

Abstract

AbstractThe dynamics of pH‐controlled chemostat and pH‐auxostat is considered. The medium flow governed by pH‐controller is calculated using the ionic (mass‐charge) balance equations. The generalized equations of pH‐controlled continuous fermentation are developed for the case of two variables: cell biomass and residual substrate concentrations. The study of steady state solutions has shown a substantial dependence of the variable patterns on a concentration of alkali (or acid) in titrant medium flow. The generalized analytical expressions for eigenvalues (reciprocals of transient characteristic times) of the culture dynamics have been obtained. The rates of transients during the steady state establishment are considered using these eigenvalues.