Effect of Temperature Distribution on the Calculation of the Thermal Current in the Mathematical Model of Pulsed Heating of a Tungsten

In this paper current distribution model in the tungsten sample and vapor at surface under electron beam heat was considered. The model is based on the solutions of electrodynamic equations and the two-phase Stefan problem in cylindrical coordinates. The two-phase Stefan problem defines the temperat...

Full description

Saved in:
Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023-10, Vol.44 (10), p.4457-4468
Main Authors: Lazareva, G. G., Popov, V. A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Current distribution
Cylindrical coordinates
Electrodynamics
Electron beams
Geometry
Materials testing
Mathematical Logic and Foundations
Mathematical models
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Temperature distribution
Temperature effects
Thermal conductivity
Tungsten
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper current distribution model in the tungsten sample and vapor at surface under electron beam heat was considered. The model is based on the solutions of electrodynamic equations and the two-phase Stefan problem in cylindrical coordinates. The two-phase Stefan problem defines the temperature inside a sample area taking into account the evaporation at its surface. A model temperature distribution in a thin layer of evaporated tungsten is used, which repeats the surface temperature. The electrodynamic equation include received temperature values and solved over the whole region. The case of constant values of electrical resistance and thermoemf in gases and metals is considered. The temperature calculations were made considering constant coefficients and temperature dependencies of specific heat capacity, density and thermal conductivity. It is shown that the detail of the coefficients of the Stefan problem has a great influence on the results of solving the electrodynamics equation. The model parameters are taken from the experiments on the Beam of Electrons for materials Test Applications (BETA) stand, created at the BINP SB RAS.
ISSN:1995-0802
1818-9962
DOI:10.1134/S199508022310027X