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Earth’s Cryosphere

2025 year, number 3

MATHEMATICAL MODEL OF OPERATION OF A SUPER-DEEP PRESSURE SEASONALLY-ACTING COOLING DEVICE

G.V. Anikin1, A.A. Ishkov2,3
1Tyumen Research Centre, Siberian branch of the Russian Academy of Sciences, Earth Cryosphere Institute, Tyumen, Russia
2Tyumen Industrial University, Tyumen, Russia
3Limited Liability Company "RN-KrasnoyarskNIPIneft", Krasnoyarsk, Russia
Keywords: permafrost soils, super-deep pressure seasonally-acting cooling device, carbon dioxide, numerical modeling

Abstract

This paper considers a new design of a super-deep pressure seasonally-acting cooling device, the principle of operation of which consists in the pressure mode of refrigerant flow due to the difference in the density of liquid columns in the gas-liquid mixture. A mathematical model of the system functioning has been developed, which allows estimating many parameters of operation, the key ones being temperatures in the evaporator, mass flow rates and velocities of the refrigerant flow in different phases, as well as the depth of the refrigerant boiling in the evaporator. Numerical experiments have been carried out, which have shown that the model adequately reflects the real operating conditions of the system under significant variation of key external conditions, such as ambient temperature and values of specific heat loads on the seasonally-acting cooling device evaporator. The parameters are determined for different depths of the evaporator part. One of the key performance indicators of the super-deep pressure seasonally-acting cooling device was the maximum refrigerant temperature in the evaporator, which turned out to be the most sensitive to changes in the specific heat load and atmospheric temperature. The dynamics of the refrigerant temperature and its distribution along the length of the evaporator determine the ability to maintain the required frozen ground regime.