Calculation of Thermal Currents in a Tungsten Plate and in a Thin Layer of Tungsten Vapor during Pulse Heating with Allowance for Temperature- and Phase-Dependent Electrical Resistance and Thermo EMF

IF 0.58 Q3 Engineering
G. G. Lazareva, V. A. Popov
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引用次数: 0

Abstract

In this paper, we consider a model of current distribution in a tungsten specimen and the evaporated substance when the surface is heated by an electron beam. The model is based on solving the equations of electrodynamics and the two-phase Stefan problem for calculating the specimen area temperature in a cylindrical coordinate system. We use a model temperature distribution in a thin layer of evaporated tungsten that replicates the surface temperature. Thermal currents are obtained using approximate temperature dependences of the electrical resistance and thermo emf of tungsten and its vapor. The model parameters are taken from experiments at the Beam of Electrons for materials Test Applications (BETA) stand, created at the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences.

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来源期刊
Journal of Applied and Industrial Mathematics
Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering
CiteScore
1.00
自引率
0.00%
发文量
16
期刊介绍: Journal of Applied and Industrial Mathematics  is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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