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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2023 Volume 16, Issue 4, Pages 33–44 (Mi vyuru699)

This article is cited in 1 paper

Mathematical Modelling

Simulation of mass transfer in problems of numerical study of heating of cryogenic products in a horizontal vessel

E. S. Soldatova, A. V. Bogomolovb

a Saint Petersburg Federal Research Center of the Russian Academy of Sciences, Saint Petersburg, Russian Federation
b Federal Research Center “Informatics and Control” of the Russian Academy of Sciences, Moscow, Russian Federation

Abstract: This paper considers the numerical modelling of evaporation-condensation in non-stationary heat and mass transfer in cryogenic processes. Calculating the parameters of a multi-phase turbulent flow in a closedregion when approximating the free surface by the liquid volume methodmakes it possible to track the vertical displacement of the phase boundary with changing cryoproduct parameters over time. A description of evaporation-condensation models suitable for use in non-stationary calculations of flows in a closedregion together with the liquid volume method aregiven. The possibility of using the Leeevaporation-condensation model and the model based on particle diffusion isdemonstrated using calculations on simple computational grids. The change in the pressure of a cryogenic product during non-drainage storageusing various models of boiling-condensation are presented. The simulation resultswere used in a database of storage parameters in a system for the remotemonitoring of cryogenic equipment. The data are estimated storage times fordifferent reference pressures and liquid levels in the vessel, with each external heat flux valuehaving a specific estimated non-drainage storage time.

Keywords: heat and mass transfer, non-drainage storage, computational fluid dynamics, evaporation-condensation model, tank container.

UDC: 004.942

MSC: 68U20

Received: 05.09.2023

DOI: 10.14529/mmp230402



© Steklov Math. Inst. of RAS, 2026