Background. Thermal and chemical processes in gas-liquid reactors often involve complex nature of the movement of components, which largely determines the process time, the contact area of the phases and, consequently, the efficiency and speed of thermal and chemical processes in processing installations. Special attention should be paid to the fluctuation in the velocity of gas bubbles in gas-liquid reactors observed in experiments, which significantly affect the efficiency and duration of the analyzed processes. In this regard, the development of models of the movement of gas bubbles in a liquid layer, taking into account velocity fluctuations is an urgent task from the point of view of improving the analyzed processes.
Materials and methods. The formulation and solution of the problem of dynamics of oscillatory motion are based on differential equations of bubbles motion and methods for their solution.
Results. A model of the movement of gas bubbles in a liquid layer has been developed, in which a vapor bubble is represented by a set of two subsystems, one of which performs translational motion, and the other – oscillatory motion. As a result of solving the differential equations of motion of subsystems, the dependences of the velocity of gas bubbles on time in the reactor core have been obtained and studied. Based on the obtained solutions, recommendations have been developed to improve the efficiency of heat and mass transfer processes in gas-liquid reactors.
Conclusions. To test, improve and practically use the obtained results, it is necessary to organize the exchange of up-to-date data of measuring devices of the automated control system of a real object with the proposed computer system.

