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High-beta axisymmetric equilibria with flow in reduced single-fluid and two-fluid models

机译:在简化的单流体模型和双流体模型中具有流动的高β轴对称平衡

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摘要

Reduced single-fluid and two-fluid equations for axisymmetric toroidal equilibria of high-beta plasmas with flow are derived by using asymptotic expansions in terms of the inverse aspect ratio. Two different orderings for the flow velocity, comparable to the poloidal Alfv?n velocity and comparable to the poloidal sound velocity, are considered. For a poloidal-Alfv?nic flow, the two-fluid equilibrium equations with hot ion effects are shown to have a singularity that is shifted by the gyroviscous cancellation from the Alfv?n singularity found in singlefluid magnetohydrodynamics (MHD) when the poloidal flow velocity equals the poloidal Alfv?n velocity. For a poloidal-sonic flow, a reduced single-fluid model is used to derive a set of equilibrium equations that includes higher-order terms. The singularity at a poloidal flow velocity equal to the poloidal sound velocity is recovered in the higher order equations.
机译:通过使用高宽比的反比例渐近展开,得出高β等离子体具有轴流的轴对称环形平衡的简化单流体方程和双流体方程。考虑了两种不同的流速顺序,分别与极短的Alfv?n速度和极短的声速相当。对于极向Alfv?nic流,具有热离子效应的双流体平衡方程显示出具有奇异性,而当极向流速度发生时,由于单流体磁流体动力学(MHD)中的Alfv?n奇异性而被陀螺粘性消除抵消了陀螺粘性等于极坐标Alfv?n速度。对于极性声波流,可使用简化的单流体模型来导出一组包含高阶项的平衡方程。在高阶方程中恢复了与极向声速相等的极向流速下的奇异性。

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