高特征参数下绝缘圆管内液态金属 MHD 效应研究

doi:10.16568/j.0254-6086.202302009

核聚变与等离子体物理 ›› 2023, Vol. 43 ›› Issue (2): 175-179.DOI: 10.16568/j.0254-6086.202302009

高特征参数下绝缘圆管内液态金属 MHD 效应研究

王凡，张秀杰* ，潘传杰

(核工业西南物理研究院，成都 610041)

收稿日期:2021-03-08 修回日期:2022-10-20 出版日期:2023-06-15 发布日期:2023-06-09
作者简介:王凡(1995−)，男，湖北枣阳人，硕士研究生，核能科学与工程专业。
基金资助:
国家自然科学基金(12275069)；四川省科技计划项目(2019YJ0297, 2022ZYD0023)；西物创新中坚人才项目 (201901XWCXRC002)

Investigations on the MHD effect of liquid metals through an insulating circular pipe under large characteristic parameters

WANG Fan, ZHANG Xiu-jie, PAN Chuan-jie

(Southwestern Institute of Physics, Chengdu 610041)

Received:2021-03-08 Revised:2022-10-20 Online:2023-06-15 Published:2023-06-09

摘要/Abstract

摘要： 液态金属磁流体动力学(MHD)效应是聚变堆液态包层需要解决的关键问题之一。通过实验与数值模拟相结合的方法，研究了高特征参数下绝缘圆管内液态金属 MHD 效应，获得了强磁场下绝缘圆管内压降变化和流速分布的规律。研究结果表明，绝缘圆管内液态金属 MHD 压降随外加磁场强度的增加而线性增大，随管道内平均流速的增加也呈线性增长的关系，且压降实验结果与数值模拟及理论结果吻合较好；流速分布的特点为哈特曼层内流速变化剧烈，速度梯度大。基于压降的实验数据分析可得，强磁场环境下绝缘圆管中层流湍流的转换分界点约为 Re/Ha=45。

关键词: 液态金属, 绝缘圆管, MHD 效应, 流速分布, 层流-湍流转换

Abstract: The magnetohydrodynamics (MHD) effect of liquid metals is a key issue to be solved for liquid blankets of fusion reactors. In this study, the liquid metal MHD flow through an insulated circular pipe under large character parameters is investigated through experiments and numerical simulations, and then the results such as pressure drops and flow velocity distributions are provided. The experimental results indicate that MHD pressure drops increase linearly with the increase of external magnetic fields and average velocities, which are in good agreement with numerical and theoretical results. The characteristic of velocity distributions is that the velocity in Hartman layer changes sharply due to big velocity gradient. Based on the analysis of the experimental data about the pressure drop, a conclusion can be drawn that the laminar turbulent transition point of MHD flows through insulating pipes under strong magnetic fields is about Re/Ha=45.

Key words: Liquid metal, Insulating circular pipe, MHD effect, Velocity distribution, Laminar turbulent transition

中图分类号:

TL62+ 7

王凡, 张秀杰, 潘传杰. 高特征参数下绝缘圆管内液态金属 MHD 效应研究[J]. 核聚变与等离子体物理, 2023, 43(2): 175-179.

WANG Fan, ZHANG Xiu-jie, PAN Chuan-jie . Investigations on the MHD effect of liquid metals through an insulating circular pipe under large characteristic parameters[J]. Nuclear Fusion and Plasma Physics, 2023, 43(2): 175-179.

参考文献

[1] Zhang X J, Pan C J, Xu Z Y. Numerical analysis of liquid metal MHD flows through circular pipes based on a fully developed modeling [J]. Fusion Engineering and Design, 2013, 88: 226−232.

[2] Kirillov I R, Barleon L, Reed C B, et al. Present understanding of MHD and heat transfer phenomena for liquid metal blankets [J]. Fusion Engineering and Design, 1995, 27(95): 553−569.

[3] Shercliff J A. Magnetohydrodynamic pipe flow Part2. High Hartmann number [J]. Journal of Fluid Mechanics, 1962, 13(4): 513−518.

[4] Shercliff J A. Steady motion of conducting fluids in pipes under transverse magnetic fields [J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1953, 49: 136−144.

[5] Shercliff J A. The flow of conducting fluids in circular pipes under transverse magnetic fields [J]. Journal of Fluid Mechanics, 1956, 1(6): 644−666.

[6] Chieh C Chang, Thomas S Lundgren. Duct flow in magnetohydrodynamics [J]. Zeitschrift Für Angewandte Mathematik Und Physik Zamp, 1961, 12(2): 100−114.

[7] Albets Chico X, Radhakrishnan H, Kassinos S C. Full magnetohydrodynamic solution of liquid-metal flow in an insulating pipe subjected to a strong fringing magnetic field [J]. Fusion Science & Technology, 2012, 61(1): 1−10.

[8] Miyazaki K, Konishi K, Gonno Y, et al. Reduction of MHD pressure drop of liquid metal flow by insulation, Part II: three-face insulated rectangular duct [J]. Fusion Technology, 1991, 19(3P2A): 969−975.

[9] Ulrich Müller, Leo Bühler. Magnetofluid dynamics in channels and containers [M]. Heidelberg: Springer, 2001.

[10] Molokov S, Reed C B. Parametric study of the liquid metal flow in a straight insulated circular duct in a strong nonuniform magnetic field [J]. Fusion Science & Technology, 2003, 43(2): 200−216.

高特征参数下绝缘圆管内液态金属 MHD 效应研究

Investigations on the MHD effect of liquid metals through an insulating circular pipe under large characteristic parameters

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