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

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.

Recent research on magneto-hydrodynamics has indicated the existence of a great number of situations where a magnetic field stabilizes the state of motion of an electrically conducting liquid. Examples have been given by Hartmann & Lazarus (1937), Murgatroyd (1953 a,b ), Shercliff (1953), and Stuart (1954) for viscous flow between parallel planes and in pipes, by Chandrasekhar (1953) and Lehnert (1952 a ) for viscous flow between rotating cylinders, by Chandrasekhar & Fermi (1953) for problems of gravitational stability and by Chandrasekhar (1952) and Nakagawa (1955) for the inhibition of convection in a fluid layer.


2021 ◽  
Vol 2119 (1) ◽  
pp. 012163
Author(s):  
A. V. Mitina ◽  
V. S. Berdnikov ◽  
K. A. Mitin

Abstract The nonstationary conjugate radiation-convective heat transfer of a single silicon rod heated by an electric current with the surrounding gas medium is studied numerically in the axisymmetric formulation by the finite element method. The calculations were carried out at the Prandtl number Pr = 0.68, and the range of the Grashof number, determined by the temperature difference and the radius of the rod 9 703 ≤ Gr ≤ 261 977. It is shown that after a short incubation period, a circulation flow is formed. As a result, a significantly inhomogeneous temperature field in the longitudinal direction is formed in a silicon rod heated by an electric current. As the Grashof number increases, the inhomogeneity of the longitudinal distribution of the temperature field increases.


2018 ◽  
Vol 45 (6) ◽  
pp. 275-278
Author(s):  
N.N. Matveev ◽  
N.S. Kamalova ◽  
N.Yu. Evsikova ◽  
A.S. Chernykh

The possibility of assessing the average crystallite size of cellulose in wood by formalised modelling from the magnitude of the potential difference arising in the wood specimen owing to polarisation in a non-homogeneous temperature field is considered.


Volume 1 ◽  
2004 ◽  
Author(s):  
B. Xu ◽  
B. Q. Li ◽  
D. E. Stock

The velocity and temperature fields induced by natural convection in liquid gallium were measured. Measurements were taken with and without an external magnetic field applied to the liquid gallium. The velocity field was measured with a hot-film anemometer and the temperature field with a thermocouple. The hot film was calibrated over a narrow range of temperatures in a rotating turntable filled with liquid gallium. The external magnetic field damped both the velocity and temperature fields compared to similar conditions when no external magnetic field was present. The experimental results compared reasonably well with previous numerical predictions.


2017 ◽  
Vol 4 (1) ◽  
pp. 99-103
Author(s):  
B. Tezenas du Montcel ◽  
P. Chapelle ◽  
A. Jardy ◽  
C. Creusot

The distribution of cathode spots in a CuCr25 vacuum arc controlled by an axial magnetic field and ignited on the lateral surface of the cathode is investigated for long gap distances, from the processing of high-speed video images. The processing method includes also estimating the current carried by a single spot and reconstructing the distribution of the current density at the cathode. Various distributions depending partly on the arc current are described.


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