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Two-fluid tokamak equilibria with reversed magnetic shear and sheared flow

机译:逆磁剪切和剪切流动的两流体托卡马克平衡

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The aim of the present work is to investigate tokamak equilibria with reversed magnetic shear and sheared flow, which may play a role in the formation of internal transport barriers (ITBs), within the framework of the two-fluid model in cylindrical geometry. The study is based on exact self-consistent solutions by means of which the impact of the magnetic shear, s, and the 'toroidal' (axial) and 'poloidal' (azimuthal) ion velocity components, v(iz) and v(i theta), on the radial electric field, E-r, its shear, vertical bar dE(r)/dr vertical bar, and the shear of the E x B velocity, omega(ExB) ( vertical bar)d/dr(E x B/B-2)vertical bar, is examined. For a wide parametric regime of experimental concern it turns out that the contributions of the v(iz), v(i phi) and pressure gradient (del P-i) terms to E-r, vertical bar E-r'vertical bar and omega(ExB) are of the same order of magnitude. The contribution of the del P-i term is missing in the framework of magnetohydrodynamics (MHD) (G. Poulipoulis et al. 2004 Plasma Phys. Control. Fusion 46, 639). The impact of's on omega(ExB) through the del P-i term is stronger than that through the velocity terms; in particular for constant B-z the ion pressure gradient contribution to omega(ExB) at the point where dE(r)/dr = 0 scales as (1 - s)(2 - s), whereas the ion flow contributions to omega(ExB) Scale as (1 - s). The results indicate that, like MHD, the magnetic shear and the sheared toroidal and poloidal velocities act synergetically in producing electric fields and therefore omega(ExB) profiles compatible with the ones observed in discharges with ITBS; owing to the del P-i term, however, the impact of s on Er, vertical bar Er'vertical bar and omega(ExB) is stronger than that in MHD.
机译:本工作的目的是研究在圆柱几何双流体模型的框架内具有反向磁剪切和剪切流动的托卡马克平衡,其可能在内部运输壁垒(ITB)的形成中起作用。该研究基于精确的自洽解,借助该解,磁剪切力s以及“环形”(轴向)和“极化”(方位角)离子速度分量v(iz)和v(i θ),在径向电场Er上,其剪切力,垂直线dE(r)/ dr垂直线,以及E x B速度的剪切力,ω(ExB)(垂直线)d / dr(E x B / B-2)竖线被检查。对于广泛的实验参数体系,结果证明v(iz),v(i phi)和压力梯度(del Pi)项对Er,垂直线E-r'垂直线和omega(ExB)的贡献具有相同的数量级。在磁流体动力学(MHD)的框架中缺少del P-i项的贡献(G. Poulipoulis等人,2004 Plasma Phys。Control。Fusion 46,639)。通过del P-i项对o的影响比通过速度项对omega(ExB)的影响要大。特别是对于常数Bz而言,在dE(r)/ dr = 0的点上,离子压力梯度对omega(ExB)的贡献为(1- s)(2- s),而离子流对omega(ExB)的贡献缩放为(1-s)。结果表明,像MHD一样,磁剪切力和剪切的环面和极向速度在产生电场中协同作用,因此omega(ExB)曲线与ITBS放电中观察到的曲线相容;然而,由于del P-i项,s对Er,垂直条Er'vertical条和omega(ExB)的影响比MHD中的影响要大。

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