Generalized Relationships for Calculating the Elements of Sets of Input Indicators of the Inlet Characteristics of a Fermentation Process for Lactic Acid Production

Generalized relationships are presented for calculating the sets of the inlet characteristics of a fermentation process for producing lactic acid, which provide real conditions for the existence of a technological process under continuous conditions. The basis is the computational relationships obtained from the equations of a mathematical model containing balance relationships for the biomass, substrate, product, and by-product, taking into account the use of the main substrate and the component that produces the main substrate in the synthesis process. Two variants were formed for assessing the region of existence of the technological process. The region of the first variant is represented by the dependence of S 0 on D at M 0 = 0; the second, M 0 on D at S 0 = 0. The coordinates of singular points for both variants are given, which limit the values of the sets for each singular point. Sets of characteristics for each singular point are obtained. Numerical examples of calculating characteristics using generalized relationships for Q P = 6 g/(L h) are given. Generalized formulas have been developed from previous studies. Also given are generalized formulas for calculating the composition of the inlet stream for fermentation. Generalized formulas are written for two variants and presented for three sections, each of which is determined by the value of S 0 ( D ) for the first variant and the value of M 0 ( D ) for the second variant. For each of the variants, the compositions of the sets consisting of six units are obtained. As well as for singular points, generalized relationships and formulas for calculating the composition of sets for the stream are derived for both variants.