The paper presents the results of numerical simulations of hydrodynamics in a gas-liquid pseudophase system (sucrose solution with yeast suspension). The simulations were performed in a bioreactor with a working volume of 0.02 m 3 , equipped with a Rushton turbine or Smith turbine stirrers. The results of the study were developed in the form of vectors of liquid velocity and the contours of the analyzed magnitudes. Also, the local values of the gas holdup φ in the gas-liquid pseudophase system were presented. The results of numerical simulations of the gas holdup were compared to the results of my own experimental study. Keywords Bioreactor • Mixing • Gas holdup • Numerical modeling • Gas-liquid pseudophase system List of symbols B Width of the baffle (outer diameter of the tubular baffle), m D Diameter of the impeller, m d d Sparger diameter, m H Liquid height in the vessel, m h Distance between impeller and bottom of the vessel, m k c Consistency index, Pa s m1 m Flow index n Impeller speed, s −1 T Inner diameter of the agitated vessel, m V g Gas flow rate, m 3 s −1 z Axial coordinate, m Greek letters φ Gas holdup η Dynamic viscosity of the liquid, Pa s ρ Density of the liquid, kg m −3 k Interfacial tension, N m −1