Stability and Self-Oscillations of a Rotor Containing a Conducting Liquid in a Magnetic Field

2004 ◽  
Vol 45 (1) ◽  
pp. 8-16 ◽  
Author(s):  
N. V. Derendyaev ◽  
I. N. Soldatov
Keyword(s):  
Magnetic Field ◽  
Conducting Liquid

scholarly journals STABILITY 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

2021 ◽  
pp. 91-97
Author(s):  
O.L. Andrieieva ◽  
B.V. Borts ◽  
А.F. Vanzha ◽  
I.М. Korotkova ◽  
V.I. Tkachenko
Keyword(s):  
Magnetic Field ◽  
Temperature Field ◽  
External Magnetic Field ◽  
Fluid Layer ◽  
Vacuum Arc ◽  
Cylindrical Shape ◽  
Conducting Liquid ◽  
Inhomogeneous Temperature ◽  
Inhomogeneous Temperature Field ◽  
Arc Current

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.

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