Mathematical Model of Thermocurrents Based on Calculation of Electrical Resistance and Thermopower As an Integral over Electron Energy

IF 0.5 4区 数学 Q3 MATHEMATICS Doklady Mathematics Pub Date : 2024-07-17 DOI:10.1134/S1064562424601070
G. G. Lazareva, V. A. Popov, V. A. Okishev, A. V. Burdakov
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Abstract

We consider a model of current distribution in a tungsten sample and a vapor layer produced when the surface is heated by an electron beam. The model is based on solving electrodynamic equations and a two-phase Stefan problem in cylindrical coordinates. Based on the temperature distribution in the computational domain, the electrical resistance and thermopower are calculated via an integral over the electron energy at each grid node. The electromagnetic field configuration is a possible source of rotation of the substance, which is observed in experiments. The simulation results demonstrate the role of thermionic emission and the way of model development. 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.

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基于电子能量积分的电阻和热功率计算的热流数学模型
摘要 我们考虑了钨样品中的电流分布模型和表面被电子束加热时产生的蒸汽层。该模型基于在圆柱坐标下求解电动力学方程和两相斯特凡问题。根据计算域中的温度分布,通过对每个网格节点上的电子能量进行积分,计算出电阻和热功率。电磁场配置是物质旋转的一个可能来源,这在实验中可以观察到。模拟结果证明了热释电的作用和模型开发的方法。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。
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来源期刊
Doklady Mathematics
Doklady Mathematics 数学-数学
CiteScore
1.00
自引率
16.70%
发文量
39
审稿时长
3-6 weeks
期刊介绍: Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.
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