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Tokamak MHD equilibria with reversed magnetic shear and sheared flow

G Poulipoulis, G N Throumoulopoulos, H Tasso2004年Plasma Physics and Controlled FusionIF 2.2出版社

Analytical solutions of the magnetohydrodynamic equilibrium equations for a cylindrically symmetric magnetically confined plasma with reversed magnetic shear, s < 0, and sheared flow are constructed by prescribing the safety factor, poloidal velocity and axial velocity profiles consistently with experimental ones. On the basis of the solutions obtained, in most of the cases considered, it turns out that an increase of |s| and of the velocity components result in larger absolute values for the radial electric field, Er, its shear, , and the E × B velocity shear, ωE × B = |(d/dr)(E × B/B2)|, which may play a role in the formation of internal transport barriers in tokamaks. In particular for a constant axial magnetic field, ωE × B at the point where is proportional to 1−s. Also, and ωE × B increase as the velocity shear takes larger values. The results clearly indicate that s < 0 and sheared flow acts synergetically in an increase of ωE × B with the impact of the flow, in particular the poloidal one being stronger than that of s < 0.

日本語訳

磁気流体力学平衡方程式の解析解は、円筒対称な磁気閉じ込めプラズマに対して、逆磁気シア(s < 0)とシア流を伴う場合に、安全係数、ポロイダル速度、および軸方向速度の分布を実験的なものと整合的に与えることによって構築される。得られた解に基づくと、考慮したほとんどの場合において、|s| および速度成分の増加は、動径電場 Er、そのシア、 、および E × B 速度シア ω_E × B = |(d/dr)(E × B/B^2)| の絶対値の増大をもたらすことがわかる。これはトカマクにおける内部輸送障壁の形成に役割を果たす可能性がある。特に、一定の軸方向磁場に対して、ω_E × B は の点において 1−s に比例する。また、 および ω_E × B は、速度シアがより大きな値を取るにつれて増加する。これらの結果は、s < 0 とシア流が ω_E × B の増加において相乗的に作用すること、特にポロイダル方向の影響が s < 0 の影響よりも強いことを明確に示している。

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MagnetohydrodynamicsMagnetic shearReversed magnetic shear
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