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数学与物理学

磁场影响下热电效应对导电管道内液态金属流动特性的影响

  • 陈昭奇 ,
  • 王增辉
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  • 中国科学院大学工程科学学院, 北京 100049

收稿日期: 2023-02-02

  修回日期: 2023-04-13

  网络出版日期: 2023-04-13

基金资助

国家自然科学基金(51876201,51927812)和中央高校基本科研业务费专项资助

Thermoelectric effect on the flow and heat transfer of liquid metal in a conducting pipe under the magnetic field

  • CHEN Zhaoqi ,
  • WANG Zenghui
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  • College of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2023-02-02

  Revised date: 2023-04-13

  Online published: 2023-04-13

摘要

以液态金属锂和不锈钢为研究对象,采用磁流体力学相容守恒数值格式以及多区域耦合物理问题分区迭代算法,模拟部分导电管道内液态锂在有/无热电效应作用下的流动现象,磁场方向沿管道展向。模拟了较大雷诺数(Re=745.6)时,热电效应作用下液态金属在部分导电管道内的流动现象。研究发现,热电效应会在方管的4个角点处形成与流动方向相反的回流涡,该回流涡增大了中心区域的流速,并且强化了金属流体的对流换热能力。随着磁场强度增大,流动状态由非稳态变为稳态,说明磁阻尼效应逐渐占主导地位,热电效应的作用尺度由弱磁场下的整个流场逐渐收缩至强磁场下的流固壁面附近,速度与温度的耦合关系由弱磁场下的双向耦合转变为强磁场下的单向耦合。

本文引用格式

陈昭奇 , 王增辉 . 磁场影响下热电效应对导电管道内液态金属流动特性的影响[J]. 中国科学院大学学报, 2025 , 42(2) : 159 -166 . DOI: 10.7523/j.ucas.2023.036

Abstract

The seebeck effect produced by metal fluid under the influence of a stable magnetic field and temperature gradient can effectively enhance its heat transfer efficiency. The flow phenomena of liquid lithium and stainless steel in partially conducting pipes are simulated by using the consistent conservative numerical scheme developed for magnetohydrodynamics and the partitioned iterative algorithm for multi-domain coupled physical problems. The magnetic field direction is along the span of the pipe. The flow phenomena of liquid metal in the partially conductive tube under the action of the thermoelectric effect at Reynolds number (Re=745.6) are studied. It is found that the Lorentz force produced by the thermoelectric effect and magnetic field forms the reverse flow vortex structure at the four corners of the square tube. The reverse flow vortex increases the velocity in the central region and promotes the convective heat transfer of the liquid metal in the vortex structure at the four corners of the square tube. The reverse flow vortex increases the velocity in the central region and promotes the convective heat transfer of the liquid metal in the central region. With the increase of magnetic field intensity, the flow changes from unsteady flow to steady flow, the flow in the central region is dominated by the magnetic damping effect, the scale of the thermoelectric effect gradually shrinks to the vicinity of the boundary, and the relationship between velocity and temperature changes from two-way coupling under weak magnetic field to one-way coupling under strong magnetic field.

参考文献

[1] Shercliff J A. Thermoelectric magnetohydrodynamics[J]. Journal of Fluid Mechanics, 1979, 91(2): 231-251. DOI: 10.1017/s0022112079000136.
[2] Xu Y F, Horn S, Aurnou J M. Thermoelectric precession in turbulent magnetoconvection[J]. Journal of Fluid Mechanics, 2022, 930: A8. DOI: 10.1017/jfm.2021.880.
[3] Zhang X, Cramer A, Lange A, et al. Model experiments on macroscopic thermoelectromagnetic convection[J]. Magnetohydrodynamics, 2009, 45(1): 25-42. DOI: 10.22364/mhd.45.1.3.
[4] Jaworski M A, Gray T K, Antonelli M, et al. Thermoelectric magnetohydrodynamic stirring of liquid metals[J]. Physical Review Letters, 2010, 104(9): 094503. DOI: 10.1103/PhysRevLett.104.094503.
[5] Chen L, Smolentsev S, Ni M J. Toward full simulations for a liquid metal blanket: MHD flow computations for a PbLi blanket prototype at Ha~104[J]. Nuclear Fusion, 2020, 60(7): 076003. DOI: 10.1088/1741-4326/ab8b30.
[6] Hussam W K, Sheard G J. Heat transfer in a high Hartmann number MHD duct flow with a circular cylinder placed near the heated side-wall[J]. International Journal of Heat and Mass Transfer, 2013, 67: 944-954. DOI: 10.1016/j.ijheatmasstransfer.2013.08.081.
[7] Modestov M, Kolemen E, Fisher A E, et al. Electromagnetic control of heat transport within a rectangular channel filled with flowing liquid metal[J]. Nuclear Fusion, 2018, 58(1): 016009. DOI: 10.1088/1741-4326/aa8bf4.
[8] Sahu S, Courtessole C, Ranjan A, et al. Thermal convection studies in liquid metal flow inside a horizontal duct under the influence of transverse magnetic field[J]. Physics of Fluids, 2020, 32(6): 067107. DOI: 10.1063/5.0006260.
[9] Akhmedagaev R, Zikanov O, Listratov Y. Magnetoconvection in a horizontal duct flow at very high Hartmann and Grashof numbers[J]. Journal of Fluid Mechanics, 2022, 931: A29. DOI: 10.1017/jfm.2021.987.
[10] Mistrangelo C, Bühler L, Alberghi C, et al. MHD R&D activities for liquid metal blankets[J]. Energies, 2021, 14(20): 6640. DOI: 10.3390/en14206640.
[11] 雷天扬, 孟旭, 王增辉, 等. 强磁场下液态金属微槽道流动与换热实验研究[J]. 中国科学院大学学报, 2021, 38(4): 459-466. DOI: 10.7523/j.issn.2095-6134.2021.04.004.
[12] Jasak H. Error analysis and estimation for the finite volume method with applications to fluid flows[D]. London, UK: Imperial College London, 1996.
[13] Issa R I. Solution of the implicitly discretised fluid flow equations by operator-splitting[J]. Journal of Computational Physics, 1986, 62(1): 40-65. DOI: 10.1016/0021-9991(86)90099-9.
[14] Ni M J, Munipalli R, Huang P, et al. A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. Part II: on an arbitrary collocated mesh[J]. Journal of Computational Physics, 2007, 227(1): 205-228. DOI: 10.1016/j.jcp.2007.07.023.
[15] Chen Z Q, Wang Z H, Chen L. Magnetic field control of three-dimensional self-driven multi-physical thermoelectric system in metal energy storage[J]. Int J Energy Res. 2022; 46(8): 11250-11264. DOI:10.1002/er.7925.
[16] Davidson P D. Introduction to magnetohydrodynamics[M]. Cambridge, UK: Cambridge University Press, 2008. DOI:10.1017/CBO9780511626333.
[17] Hunt J C R. Magnetohydrodynamic flow in rectangular ducts[J]. Journal of Fluid Mechanics, 1965, 21(4):577. DOI: 10.1017/s0022112065000344.
[18] Muller U, Buhler L, Dulikravich G S. Magnetofluiddynamics in channels and containers[J]. Applied Mechanics Reviews, 2002, 55(1): B14. DOI: 10.1115/1.1445331.
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