|
- 2015
均匀磁场中初始静止的液态金属在电流作用下三维运动的数值研究
|
Abstract:
摘要 液态金属在磁场中运动的研究在理论和应用方面都具有重要的意义.本文建立了在均匀磁场中初始时刻静止的液态金属流体的物理模型, 并向其中通入水平方向的电流.采用数值方法研究当存在沿竖直方向的、沿水平方向且平行于电流方向和沿水平方向且垂直于电流方向的外加磁场三种情况下金属流体的三维运动特性.分析发现, 电磁场的耦合作用会使原本静止的液态金属失稳并开始运动, 还会从自由表面生发出大量的二次液块甚至细小的液滴.磁场的方向和强度、电流的方向和密度均会影响金属流体的运动形态.
[1] | Wells W M. A system for handling diverter ion and energy flux based on a lithium droplet cloud[J]. Nuclear Technology Fusion, 1981, 1: 120-127. |
[2] | Abdou M A, Team T A, Ying A, et al. On the exploration of innovative concepts for fusion chamber technology[J]. Fusion Engineering and Design, 2001, 54(2): 181-247. |
[3] | Whyte D G, Evans T E, Wong C P C, et al. Experimental observations of lithium as a plasma-facing surface in the DIII-D tokamakdivertor[J]. Fusion Engineering and Design, 2004, 72(1): 133-147. |
[4] | 倪明玖. 磁约束核聚变反应堆研发相关的金属流体力学问题研究[J]. 中国科学: 物理学, 力学, 天文学, 2013, 43(12): 1 570-1 578. |
[5] | Bell J B, Colella P, Glaz H M. A second-order projection method for the incompressible Navier-Stokes equations[J]. Journal of Computational Physics, 1989, 85(2): 257-283. |
[6] | Allain J P, Whyte D G, Brooks J N. Lithium erosion experiments and modelling under quiescent plasma conditions in DIII-D[J]. Nuclear Fusion, 2004, 44(5): 655. |
[7] | Moreau R J. Magnetohydrodynamics[M]. Dordrecht, Boston, London:Kluwer Academic Publishers, 1990. |
[8] | Zakharov L E. Magnetic propulsion of intense lithium streams in a tokamak magnetic field[J]. Physical Review Letters, 2003, 90(4): 045 001. |
[9] | Molokov S, Moreau R. Magnetohydrodynamics: historical evolution and trends[M]. Dordrecht, Netherlands: Springer, 2007. |
[10] | Ni M J, Munipalli R, Morley N B, et al. A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. Part I: On a rectangular collocated grid system[J]. Journal of Computational Physics, 2007, 227(1): 174-204. |
[11] | Zhang J, Ni M J. A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system[J]. Journal of Computational Physics, 2014, 256: 520-542. |
[12] | <p> Badger B, Abdou M A, Boom R W, et al. UWMAK-I, a Wisconsin toroidal fusion reactor design [R]. UWFDM-68, University of Wisconsin, 1974, 1. |
[13] | Gao D, Morley N B, Dhir V. Numerical study of liquid metal film flows in a varying spanwise magnetic field[J]. Fusion Engineering and Design, 2002, 63: 369-374. |
[14] | Morley N B, Smolentsev S, Barleon L, et al. Liquid magnetohydrodynamics: recent progress and future directions for fusion[J]. Fusion Engineering and Design, 2000, 51: 701-713. |
[15] | Bandyopadhyay D, Reddy P D S, Sharma A, et al. Electro-magnetic-field-induced flow and interfacial instabilities in confined stratified liquid layers[J]. Theoretical and Computational Fluid Dynamics, 2012, 26(1/4): 23-28.</p> |