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Tokamak MHD equilibria with reversed magnetic shear and sheared flow

机译:具有反向磁剪切和剪切流的托卡马克MHD平衡

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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, E-r its shear, dE(r)/dr drop E'(r), and the E x B velocity shear, (omega(ExB) = (d/dr)(E x B/B-2), which may play a role in the formation of internal transport barriers in tokamaks. In particular for a constant axial magnetic field, omega(ExB) at the point where E'(r) = 0 is proportional to 1 - s. Also, E'(r) and omega(ExB) increase as the velocity shear takes larger values. The results clearly indicate that s < 0 and sheared flow acts synergetically in an increase of omega(ExB) with the impact of the flow, in particular the poloidal one being stronger than that of s < 0.
机译:通过规定安全系数,极向速度和轴向速度分布与实验一致,构造了具有反向磁剪切,s <0和剪切流的圆柱对称磁约束等离子体的磁流体平衡方程的解析解。根据获得的解,在大多数情况下,都发现 s 和速度分量的增加导致径向电场的较大绝对值Er的剪切力 dE(r) / dr 放下 E'(r),以及E x B速度剪切(omega(ExB)= (d / dr)(E x B / B-2),这可能在特别是对于恒定的轴向磁场,在E'(r)= 0的点处的omega(ExB)与1-s成正比,此外, E'(r)和omega (ExB)随速度剪切值的增大而增加,结果清楚地表明s <0且剪切流在omega(ExB)的影响下协同作用,尤其是与之相比,极向性更强。 s <0。

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