{"title":"Mathematical Model of Current Distribution\nin a Tungsten Plate during Pulsed Heating","authors":"G. G. Lazareva, V. A. Popov, V. A. Okishev","doi":"10.1134/S1990478924010095","DOIUrl":null,"url":null,"abstract":"<p> In this paper, for the first time, we present a new model of current distribution in a\ntungsten sample and of substance evaporation when the surface is heated by an electron beam.\nThe model is based on solving electrodynamics equations in a cylindrical coordinate system using\na model temperature distribution in the sample and a thin layer of evaporated tungsten. The\nmodel is analyzed in a simplified formulation at constant values of electrical resistance and\nthermoelectric power in gas and metal. The dependence of the amplitude and isolines of thermal\ncurrents on the distribution of temperature at the sample surface is shown. The model parameters\nare taken from experiments at the Beam of Electrons for materials Test Applications (BETA)\nfacility, created at the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian\nAcademy of Sciences.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 1","pages":"93 - 102"},"PeriodicalIF":0.5800,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478924010095","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, for the first time, we present a new model of current distribution in a
tungsten sample and of substance evaporation when the surface is heated by an electron beam.
The model is based on solving electrodynamics equations in a cylindrical coordinate system using
a model temperature distribution in the sample and a thin layer of evaporated tungsten. The
model is analyzed in a simplified formulation at constant values of electrical resistance and
thermoelectric power in gas and metal. The dependence of the amplitude and isolines of thermal
currents on the distribution of temperature at the sample surface is shown. The model parameters
are taken from experiments at the Beam of Electrons for materials Test Applications (BETA)
facility, created at the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian
Academy of Sciences.
摘要 本文首次提出了钨样品中的电流分布和表面被电子束加热时物质蒸发的新模型。该模型基于在圆柱坐标系中利用样品中的温度分布模型和蒸发钨薄层模型求解电动力学方程。在气体和金属中电阻和热电功率值恒定的情况下，对模型进行了简化分析。图中显示了热电流的振幅和孤立线与样品表面温度分布的关系。模型参数取自俄罗斯科学院西伯利亚分院布德克核物理研究所（Budker Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences）建立的材料测试应用电子束（BETA）设施的实验。
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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