Movement of a Melt and Elastic-Stressed State of its Oxide Film in the Process of Induction Melting

• Published in: Journal of engineering physics and thermophysics Vol. 94; no. 6; pp. 1444 - 1455
• Main Authors: Nikulin, I. L., Demin, V. A., Perminov, A. V.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.11.2021; Springer; Springer Nature B.V
• Subjects: Classical Mechanics; Complex Systems; Direct numerical simulation; Elastic deformation; Elastic properties; Engineering; Engineering Thermodynamics; Hartmann number; Heat and Mass Transfer; Induction melting; Industrial Chemistry/Chemical Engineering; Liquid flow; Liquid metals; Liquid surfaces; Mathematical models; Numerical analysis; Oxide coatings; Thermodynamics; induction melting; oxide film; diffusion; heat convection; molten metal; elasticity; mechanical stress; Lorentz force; variable magnetic field
• ISSN: 1062-0125; 1573-871X
• DOI: 10.1007/s10891-021-02449-9

The interdependent movement of a liquid metal and its surface oxide film, found in the state of elastic stress, in the process of induction melting of the metal in a cylindrical crucible was investigated by the method of direct numerical simulation. The structures of the liquid flows in such a metal, determined for different regimes of its induction melting, are presented, and an analysis of the state of the surface of the metal melted in these regimes is given. The equation for the balance of the volume forces in the film covering the whole surface of a molten metal as well as the equations for the displacements and deformations of this film under certain conditions have been derived. The elastic properties of an oxide film on the surface of a liquid metal were estimated on the basis of the experimental data on its induction melting. The interrelation between the liquid flow near the surface of a melt and the volume forces in the film on its surface, the mechanical stress of this film, and its deformations was demonstrated for typical technological regimes of melting of metals. A computational experiment has shown that the model of the stressed state of a film on the surface of a melt, developed, is correct and can be used for the definition of the elastic stresses in such films. The influence of the diffusion parameter of the magnetic field in a melt and its Hartmann number on the elastic deformations of the film on the surface of the melt was determined and the relation between these deformations and the structure of the liquid flow at the surface of the melt was investigated.