Magnetohydrodynamic Stability of a Streaming Hollow Jet

Magnetohydrodynamic Stability of a Streaming Hollow Jet
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流动空心射流的磁流体动力学稳定性

DOI:
10.1143/jpsj.59.537
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发表时间:
1990
期刊:
影响因子:
--
通讯作者:
Ahmed E. Radwan
Ahmed E. Radwan
中科院分区:
--
文献类型:
--
作者:
Ahmed E. Radwan

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导出了流动空心圆柱体在惯性力、毛细力和电磁力作用下的色散关系。许多稳定性准则得到的限制情况下,从本关系。毛细管空心柱只对轴对称模的某些波长是不稳定的,而对所有其它扰动是稳定的。磁场产生强烈的稳定作用,导致磁力线弯曲。在作用平衡场的某一相对值以上,非流动运动的毛细不稳定性被完全抑制,稳定性开始出现。对于不同的波长和各种干扰,所需的限制流空心圆柱体的磁流体稳定性,确定。流动运动对磁流体动力学稳定状态有不稳定的影响,并大大降低了它们。这些分析结果得到证实,并提出了数值。
The dispersion relation of a streaming hollow cylinder with respect to its inertia, capillarity and electromagnetic forces is derived. Numerous stability criteria are obtained as limiting cases from the present relation. The capillary hollow cylinder is unstable only for certain wavelengths to axisymmetric mode and stable to all other disturbances. The magnetic field exerts a strong stabilizing influence which causes the bending of the magnetic force lines. Above a certain relative value of the acting equilibrium field, the capillary instability of non-streaming motion is completely suppressed and the stability sets in. The required restrictions of the hydromagnetic stability of the streaming hollow cylinder, for different wavelengths and various disturbances, are identified. The streaming motion has a destabilizing influence on the magnetohydrodynamic stability states and reduces them extensively. These analytical results are confirmed and presented numerically.