Open AccessSTABILITY OF A VISCOUS INCOMPRESSIBLE CONDUCTING LIQUID LAYER OF A CYLINDRICAL SHAPE IN AN INHOMOGENEOUS TEMPERATURE FIELD AND A MAGNETIC FIELD OF A VACUUM ARC CURRENT THROUGH IT
Author(s) -
O.L. Andrieieva,
Б.В. Борц,
А.F. Vanzha,
I.М. Korotkova,
В. И. Ткаченко
Publication year - 2021
Publication title -
problems of atomic science and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 17
eISSN - 1562-6016
pISSN - 1682-9344
DOI - 10.46813/2021-133-091
Subject(s) - mechanics , magnetic field , vacuum arc , compressibility , boundary layer , current (fluid) , field (mathematics) , physics , magnetic pressure , magnetohydrodynamics , heat transfer , convection , boundary value problem , classical mechanics , materials science , condensed matter physics , thermodynamics , plasma , mathematics , magnetization , quantum mechanics , pure mathematics
Convective mass transfer in a cylindrical viscous incompressible conductive fluid layer in an inhomogeneous temperature field and in the external magnetic field of the vacuum arc current through it is theoretically investigated in this work. For a horizontal layer of a viscous, incompressible, conducting liquid of a cylindrical shape, located in a temperature field inhomogeneous in height and in an external magnetic field of a vacuum arc current flowing through it, the original equations are written. These equations consist of linearized equations for small velocity perturbations, small deviations from the equilibrium values of temperature, pressure, and magnetic field strength. The considered boundary value problem is solved for the case of free boundaries. Comparison of the experimental data with theoretical calculations made it possible to determine the rotation velocity of the steel melt during vacuum arc melting.