Abstract
Abstract For studying the kinetic laws of the processes of transitional phase processes of cryo-liquids into the vapor phase, methods of mathematical modelling were used. A mathematical model was developed for the instant boiling up of cryo-liquids using the finite element method. The paper shows the results of a numerical experiment with different amounts of evaporating cryo-liquid in the same temperature range. The dependences of Von Mises pressure and pressure during cryo-liquid evaporation are shown. These studies are necessary for further detailed study of the kinetic laws of the processes of fast-flow phase transitions of cryo-liquids in a pneumatic installation for the cryogenic-dynamic startup of devices.