MHD Taylor-Couette flow with insulating walls at periodic condition and low magnetic Reynolds number
MHD Taylor-Couette flow with insulating walls at periodic condition and low magnetic Reynolds number
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具有周期性条件和低磁雷诺数的绝缘壁的 MHD Taylor-Couette 流
DOI：
10.22364/mhd.56.2-3.1
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发表时间：
2020-09
影响因子：
0.7
通讯作者：
B. W. Li
中科院分区：
文献类型：
--
作者：
X. Y. Leng;Yu. B. Kolesnikov;D. Krasnov;B. W. Li
他的工作研究了在低磁雷诺数的轴向磁场存在的情况下，导电流体在两个同轴无限长绝缘圆柱体之间的Taylor-Couette流动中的湍流行为。内筒旋转，外筒保持不动。采用直接数值模拟的方法研究了雷诺数分别为4000和8000、哈特曼数不同时的流动问题。结果表明，在外加磁场的作用下，流动中的湍流得到了持续的抑制。平均流型不受磁场的直接影响，但其转化依赖于湍流脉动的减弱和壁面法向动量输运。随着哈特曼数的增加，观察到的泰勒涡流的减少伴随着轴向波长的拉长，证实了线性稳定性理论的理论预测。将所考虑的绝缘柱的情况与以前研究的导电柱的情况进行了比较，也表明了这两种情况之间的差异，并突出了电边界条件对湍流的重要影响。
his work studies turbulent behavior in Taylor-Couette flow of an electrically conducting fluid between two co-axial and infinitely long insulating cylinders in the presence of an axial magnetic field at a low magnetic Reynolds number. The inner cylinder rotates and the outer one is kept stationary. Direct numerical simulation was conducted to study the problem with Reynolds numbers of 4000 and 8000 with different Hartmann numbers. The results show a continuous suppression of turbulence in the flow under the applied magnetic field. The mean flow profile is not directly affected by the magnetic field, but its transformation depends on the decrease of turbulent fluctuations and wall normal momentum transport. With increasing Hartmann number, the observed decrease of Taylor vortex flow is accompanied by the elongated axial wavelengths, confirming the theoretical prediction of linear stability theory. A comparison of the considered case of insulating cylinders with a previous study with conducting cylinders also indicates a difference between these two cases and highlights a significant impact of the electric boundary conditions on turbulence.