中文摘要：

采用理想磁流体力学模型，利用绝热近似方法，推导出托卡马克等离子体极向转动体系中带状流的色散方程，分析了极向转动对带状流产生的影响。结果表明，等离子体极向转动体系下，测地声模频率和声波频率都会随极向转动马赫数而增大。带状流的频率与采用等温近似时有一定的数值差别；测地声模的密度扰动量形式也发生变化，由静态体系中纯驻波的形式，变为由一个驻波和一个小振幅行波叠加的形式。

英文摘要：

Background： Zonal flows are the electrostatic modes with structures of toroidal symmetry and poloidal symmetry, which play an important role in restraining turbulences. In the process of turbulence suppression, the poloidal rotation widely exists in tokamak plasmas. Purpose： In this study, the effects of the poloidal rotation on zonal flows in tokamak plasmas are concluded. Methods： With the dispersion relation derived by using ideal MHD model with the adiabatic approximation, the frequencies of zonal flows are deduced. Results： Firstly, the frequency of the geodesic acoustic mode （GAM） increases with respect to the poloidal Mach number when adiabatic coefficient is 5/3. Secondly, the frequency of the sound wave （SW） increases with respect to the poloidal Mach number when adiabatic coefficient is 5/3. Thirdly, the frequency of GAM with γ=1 is different from that when γ=5/3. The fourth, the frequency of SW with γ=1 is different from that when γ=5/3. The last, the ratio between the cos and sin components of density perturbation for GAM is a very small value in the poloidally rotating plasma. Conclusion： It is shown that the frequencies of the zonal flows with the adiabatic approximation, increase with respect to the poloidal Mach number, but differ in numerical value of the frequencies of the zonal flows with the isothermal approximation. In contrast to the pure standing wave form in static plasmas, the density perturbations consist of a standing wave superimposed with a small amplitude traveling wave in the poloidally rotating plasma.