* For oxygen balance in the liquid phase: Assumptions (f) and (g) characterize a homogeneous flow regime through the reactor. Figure (1) shows a mathematical representation of the bioreactor. Equations of mathematical model were resulted from differential balance along the reactor Where pi is the maximum specific growth rate (s'); Ko is saturation constant of oxygen (gcm *): pas is the substrate dry density (gem”™); C is the oxygen concentration dissolved in liquid (gem); Yo is yield of biomass upon oxygen. If C>> Ko, the reaction rate follows the intrinsic zero order kinetics. Where Ky is the intrinsic zero-order rate constant. 4. Governing Equations ol Mathematical Model 10-References:
