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

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Published under licence by IOP Publishing Ltd
, , Citation V G Kuznetsov and E S Babushkina 2016 J. Phys.: Conf. Ser. 729 012003 DOI 10.1088/1742-6596/729/1/012003

1742-6596/729/1/012003

Abstract

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.

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10.1088/1742-6596/729/1/012003