Theoretical investigations are conducted to examine the impact of toroidal rotation and ion collisional viscosity on low-frequency zonal flow (LFZF) in a tokamak plasma with the fluid model. The results indicate that while the frequency of LFZF remains unchanged during an isothermal process with \(\gamma { = }1\), its damping rate is influenced by both toroidal rotation and ion collisional viscosity. Specifically, as the ion collisional viscosity increases, so does the damping rate of LFZF; conversely, as the toroidal rotation As its Mach number rises, its damping rate decreases. For a non-isothermal process with \(\gamma \, > 1\) (such as \(\gamma = 5/3\)), the damping rate and frequency of LFZF are influenced by both toroidal rotation and ion collisional viscosity. It has been demonstrated that when the toroidal rotation Mach number surpasses a certain threshold, the frequency transitions from zero to a finite value, while the damping rate decreases as the toroidal rotation Mach number increases for LFZF. Furthermore, it has been observed that the damping rate of LFZF increases while the frequency decreases with an increase in ion collisional viscosity. Moreover, when the ion collisional viscosity surpasses a certain threshold, the frequency of LFZF drops to zero.

进行理论研究，以使用流体模型检查环形旋转和离子碰撞粘度对托卡马克等离子体中低频层流（LFZF）的影响。结果表明，虽然 LFZF 的频率在\(\gamma { = }1\)等温过程中保持不变，但其阻尼率同时受到环形旋转和离子碰撞粘度的影响。具体来说，随着离子碰撞粘度的增加，LFZF的阻尼率也随之增加；反之，随着环形旋转的马赫数升高，其阻尼率降低。对于\(\gamma \, > 1\)的非等温过程（例如\(\gamma = 5/3\)），LFZF 的阻尼率和频率同时受到环形旋转和离子碰撞粘度的影响。已经证明，对于 LFZF，当环形旋转马赫数超过某个阈值时，频率从零过渡到有限值，而阻尼率随着环形旋转马赫数的增加而减小。此外，据观察，随着离子碰撞粘度的增加，LFZF 的阻尼率增加，而频率降低。此外，当离子碰撞粘度超过一定阈值时，LFZF的频率降至零。