Introduction. The purpose of this scientific work is to research the influence of the application of alternating impulses of pressure throughout treatment of liquid solutions by the numerical modelling. Materials and methods. The volume parametric imitation and visualization, modelling methods, math modelling methods were used for the description of the conditions at the working parts of the rotary pulsed apparatus during the liquid treatment. Experimental investigations of liquid samples were carried out with using potentiometry laboratory measurement procedure. Results and discussion. In this paper, it is established that the local values of pressure in the sector of input of water and water systems and the output of the water systems from the gaps vary: at the external surface of the internal rotor from-50 to +300 kPa; at the external stator surface from-150 to 100 kPa; at the inner stator surface from +40 to-120 kPa; at the inner surface of the external rotor from +100 to-100 kPa. During the last values cavitation and adiabatic boiling can be present. Throughout the water and water solutions treatment and during the processes of mixing liquid associated components in the conditions of hydrodynamic fluctuation as alternating impulses of pressure characterized the changing of pressure: ΔР = 350 kPa near an outside surface of an interior spinning rotor; ΔР = 250 kPa near an outside stator surface; ΔР = 160 kPa near an interior stator surface; ΔР = 200 kPa near an interior surface of an outside spinning rotor. By the consequences of the computation was established that the principal values of speeds of shift of a stream emerge in RPA with coaxial clearances between first rotors, stator and second rotor 100 mkm. Conclusions. Throughout the calculations was found the values of pressure changing in working chamber of rotary-pulsating apparatus between coaxial cylinders «rotor-stator-rotor» system. These give us the possibility to receive the liquids with necessary and required physical and chemical properties and parameters by the no reagent influence and to control this processes.