Applied Physics and Mathematics Annotation << Back ABOUT ONE ANALYTICAL SOLUTION OF THE PROBLEM OF FREE CONVECTIVE HEAT OF MASS TRANSFER IN A RECTANGULAR DOMAIN WHEN DISSOLVING SEDIMENT ON «WETTED» SURFACES YU.YU. GROMOV, A.V. RYAZHSKIKH, V.A. SUMIN The paper considers the processes that occur in a Newtonian incompressible fluid with impurities dissolved in it during long-term storage in a cryogenic reservoir, which conventionally has the shape of a rectangular cavity. It is also assumed that there is a constant source of heat on the “wetted” surface. The thermal and hydrodynamic subproblems are written out in dimensional quantities and the transition to dimensionless quantities is made. Using integral Fourier transforms, an analytical solution of the equations of the model with thermal boundary conditions of the second kind is obtained. It was shown that at low concentration Grashof numbers, there is no liquid flow, which indicates that the concentration and thermal streamlines suppress each other. Such a physical picture characterizes a decrease in the volatility of a cryogenic liquid from a reservoir, and, as a result, a significant increase in its shelf life. Keywords: storage and transportation of cryogenic fluid, Newtonian incompressible fluid, stream function, rectangular cavity, free convective flow, heat and mass transfer phenomenon, analytical solution. DOI: 10.25791/pfim.01.2023.1251 Pp. 29-34.