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Engineering Physics

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LAMINAR THERMAL CONCENTRATION CONVECTION OF LIQUEFIED GASES IN A CYLINDER DURING LONG-TERM STORAGE
V.A. SUMIN, V.I. RYAZHSKIKH, YU.YU. GROMOV

The article presents a theoretical analysis of the hydrothermal situation in a cryogenic tank during storage of liquefi ed gases under conditions of a dissolving sediment of high-boiling impurities on a wetted surface, taking into account the heat flow through the walls due to imperfect thermal insulation. A non-conjugate mathematical model is written, based on the physical linearization of the Oberbeck-Boussinesq equations with respect to the fields of velocities, temperatures and concentrations. The problem is divided into three parts: thermal, concentration and thermoconcentration, each of which is solved analytically using the Laplace transform in dimensionless time, the finite integral cosine Fourier transform in the spatial coordinate and the Hankel transform. It was found that at low concentration Grashof numbers, there is a lack of liquid flow and, as a consequence, a decrease in evaporation, which indicates that the concentration and thermal current lines suppress each other.
Keywords: cryogenic fluids, Newtonian incompressible fluid, stream function, cylindrical region, free convective flow, heat and mass transfer phenomenon, free convective flow, analytical solution, “suppression” phenomenon.


DOI: 10.25791/infizik.10.2023.1359

Pp. 25-34.

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