磁化等离子体中的非牛顿粘性
Non-Newtonian viscosity in magnetized plasma
摘要：
粒子和动量平衡方程可以在同心圆通量表面上求解，以确定低纵横比极限下磁化托卡马克等离子体中存在的有效粘性阻力。利用通量表面上的量的极向变化的一阶傅立叶展开，类似于Stacey和Sigmar的分析[Phys.Fluids，28，9（1985）]。表达式来确定极向变化的密度，极向速度，环向速度，径向电场，极向电场，和其他径向配置文件中的多物种设置。使用通量表面平均的密度、温度、环向电流、环向动量注入以及至少一种离子的极向和环向旋转的分布的实验数据作为输入，可以数值地求解剩余分布的方程。将所得的有效粘度与Stacey和Sigmar和Shaing等人预测的那些进行比较，[核聚变，25，4（1985）]。观察到的有效粘度的速度依赖性，表明在磁化等离子体中的非牛顿流体行为的存在。
英文摘要：
The particle and momentum balance equations can be solved on concentric circular flux surfaces to determine the effective viscous drag present in a magnetized tokamak plasma in the low aspect ratio limit. An analysis is developed utilizing the first-order Fourier expansion of the poloidal variation of quantities on the flux surface akin to that by Stacey and Sigmar [Phys. Fluids, 28, 9 (1985)]. Expressions to determine the poloidal variations of density, poloidal velocity, toroidal velocity, radial electric field, poloidal electric field, and other radial profiles are presented in a multi-species setting. Using as input experimental data for the flux surface averaged profiles of density, temperature, toroidal current, toroidal momentum injection, and the poloidal and toroidal rotations of at least one species of ion, one may solve the equations numerically for the remaining profiles. The resultant effective viscosities are compared to those predicted by Stacey and Sigmar and Shaing, et al., [Nuclear Fusion, 25, 4 (1985)]. A velocity dependence of the effective viscosity is observed, indicating the presence of non-Newtonian fluid behavior in magnetized plasma.
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