Mathematical modeling of the temperature distribution under the cathode spot of the vacuum arc

23rd International Conference on Vacuum Technique and Technology

Kuznetsov, V.G.^1 ; Babushkina, E.S.^1

Institute for Problems in Mechanical Engineering, RAS, 61 V. O., Bolshoy pr., Saint-Petersburg

199178, Russia^1

关键词: Boiling temperature;    Cartesian coordinate system;    Cathode spot;    Distribution of temperature;    Spot diameter;    Surface layers;    Unsteady three-dimensional heat conduction;    Vacuum arcs;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/729/1/012003/pdf
DOI  :  10.1088/1742-6596/729/1/012003

来源: IOP

【 摘 要 】

We present a solution to the problem of the temperature distribution under the cathode spot of taking into account melting and spare deposits of metal, brought to boiling temperature on the surface of the cathode spot. The process of heat transfer in the metal is described by the unsteady three dimensional heat conduction equation in Cartesian coordinate system. Similarly, we present a solution to the problem of the temperature distribution in the presence of the pores in the surface layer of the metal. To solve this task we used a numerical method to finite differences and variable directions. We present the calculated data on the distribution of temperature under the cathode spot for different values of spot diameters and speeds its movement.