Three-dimensional instability of thermal convection in a vertical Bridgman growth configuration under traveling magnetic field

Three-dimensional instability of thermal convection in a vertical Bridgman growth configuration under traveling magnetic field
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行进磁场下垂直布里奇曼生长结构热对流的三维不稳定性

DOI:
10.1088/0169-5983/47/3/035507
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发表时间:
2015-06
影响因子:
1.5
通讯作者:
Jiang Jin
Jiang Jin
中科院分区:
工程技术4区
文献类型:
--
作者:
Wang Bo-Fu;Li Yan-Hui;Zhou Lin;Deng An-Li;Ma Dong-Jun;Sun De-Jun;Jiang Jin

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本文对移动磁场作用下垂直布里奇曼生长结构中的热对流进行了数值研究。垂直布里奇曼生长配置近似为在一个抛物面加热侧壁和等温冷却端壁的圆柱体中的对流。在低频和低感应假设下,引入了洛伦兹效应作为常用的近似,以使用流体体积中施加的洛伦兹力的解析表达式。通过参数Ft来测量摩擦力的强度。圆柱体的长宽比(高度/半径)固定为Γ = 1?>,并且所考虑的普朗特数固定为Pr = 0.02。浮力和浮力同时激发的底流是轴对称的。我们的主要目标是确定如何流失去稳定性的三维流动。线性稳定性分析揭示了(Ft,Ra)平面内的极端多值稳定性曲线。三种不同的流动状态被分类,即,浮力主导型、浮力和TMF平衡型以及TMF主导型。典型的定常和非定常的三维流动进行了说明。
Thermal convection in a vertical Bridgman growth configuration under the effect of a traveling magnetic field (TMF) is investigated numerically. The vertical Bridgman growth configuration is approximated by convection in a cylinder with a parabolic heated sidewall and isothermal-cooled end walls. The TMF effect is introduced as a usual approximation under low frequency and a low induction assumption to use the analytical expression for the Lorentz force applied in the fluid volume. The strength of the TMF force is measured by the parameter Ft. The cylinder aspect ratio (height/radius) is fixed to Γ = 1 ?> , and the Prandtl number considered is fixed to Pr = 0.02. The base flow simultaneously excited by buoyancy and TMF is axisymmetric. Our primary goal is to determine how the flow loses stability to three-dimensional flow. An extremely multiple valued stability curve in the (Ft,Ra) plane is revealed by linear stability analysis. Three distinct flow regimes are classified, i.e., buoyancy dominated regime, buoyancy and TMF-counterbalanced regime, and TMF-dominated regime. Typical steady and unsteady three-dimensional flows are illustrated.
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