Engineering Physics Annotation << Back THERMODYNAMIC CONVECTION OF A HEAT-RELEAVING LIQUID IN A CLOSED REGION IN THE FORM OF A SQUARE CAVERN YU.YU. GROMOV, A.V. RYAZHSKIKH, V.A. SUMIN The paper considers the thermodynamic convection of a heat-generating (cryogenic) liquid in a limited area imitated by a square cavity. On the basis of the Oberbeck-Boussinesq equations, a mathematical model of the motion of a cryogenic liquid in the Stokes hydrodynamic approximation was synthesized under the accepted assumptions. The thermal and hydrodynamic problems are writ-ten out in dimensional quantities and the transition to dimensionless quantities is carried out. Using the integral Fourier transforms, an analytical solution of the problem was obtained. It is shown that the mathematical model physically correctly describes the structure of the temperature and hydro-dynamic fields. Keywords: cryogenic liquid, Oberbeck-Boussinesq equation, square cavity, free convective flow, heat transfer phenomenon, analytical solution. DOI: 10.25791/infizik.2.2023.1312 Pp. 23-30.