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Poloidal shear flow effect on ideal interchange instability

K. Watanabe, H. Sugama, M. Wakatani1992年被引用 6Nuclear FusionIF 3出版社

Poloidal shear flow, driven by the radial electric field, decreases the beta limit determined by the ideal interchange mode in a heliotron/torsatron configuration with unfavourable curvature. The reduction factor is estimated as (1-(kθvE')2/(k||'vpA)2) for localized modes, where kθ, is the wave number in the poloidal direction, k|| is the parallel wave number along the magnetic field, vE and vpA are the poloidal shear flow and the poloidal Alfven velocities, respectively, and primes denote the radial derivative. For Δ > LE, the growth rate of the m=1 mode becomes smaller than that for vE = 0; however, the stabilizing effect disappears and the poloidal shear flow enhances the growth rate for Δ < LE (Δ is the radial mode width for vE=0 and LE is the scale length of shear flow)

日本語訳

ヘリオトロン/トーサトロン配位において、不利な曲率を有する場合、径方向電場によって駆動されるポロイダルせん断流は、理想交換モードによって決定されるベータ限界を低下させる。その低減係数は、局在モードに対して(1-(kθvE')2/(k||'vp)2)と評価される。ここで、kθはポロイダル方向の波数、k||は磁場に沿った平行方向の波数、vEおよびvpはそれぞれポロイダルせん断流速度およびポロイダルアルフヴェン速度であり、プライム記号は径方向微分を表す。Δ > LEの場合、m=1モードの成長率はvE = 0の場合よりも小さくなる。しかしながら、Δ < LEの場合(ΔはvE = 0の場合の径方向モード幅、LEはせん断流の特性長)、安定化効果は消失し、ポロイダルせん断流は成長率を増大させる。

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