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1D equation for toroidal momentum transport in a tokamak

V A Rozhansky, I Yu Senichenkov2010年Plasma Physics and Controlled FusionIF 2.2出版社

A 1D equation for toroidal momentum transport is derived for a given set of turbulent transport coefficients. The averaging is performed taking account of the poloidal variation of the toroidal fluxes and is based on the ambipolar condition of the zero net radial current through the flux surface. It is demonstrated that taking account of the Pfirsch–Schlüter fluxes leads to a torque in the toroidal direction which is proportional to the gradient of the ion temperature. This effect is new and has not been discussed before. The boundary condition at the separatrix, which is based on the results of the 2D simulations of the edge plasma, is formulated.

日本語訳

トロイダル運動量輸送のための1次元方程式が、与えられた乱流輸送係数のセットに対して導出される。平均化は、トロイダルフラックスのポロイダル変動を考慮して行われ、磁気面を通る正味の動径電流がゼロであるという両極性条件に基づく。プフィルシュ・シュリューター流束を考慮することが、イオン温度の勾配に比例するトロイダル方向のトルクを生じることが示される。この効果は新しく、これまで議論されていない。セパラトリクスにおける境界条件は、周辺プラズマの2次元シミュレーションの結果に基づいて定式化される。

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Momentum transportToroidal momentum
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