Axisymmetric oscillatory modes in cylindrical magnetized plasma bounded by a conducting wall. (English) Zbl 1518.76069
Authors’ abstract: A comparison between analytic theory and numerical simulations of axisymmetric modes in magnetically confined, cylindrical plasma with non-circular cross-section bounded by a conducting wall is presented. If the wall is close to the plasma, modes are oscillatory, with frequency scaling with the Alfvén frequency. The two frequencies differ when the plasma cross-section is elongated, but they become equal in the circular limit. The mechanism for oscillatory behavior is a consequence of the currents induced on the perfectly conducting wall when the plasma is displaced from its equilibrium positions. The induced currents exert a restoring force on the plasma, and the oscillation frequency is a combination of the strength of this force and the plasma mass density. An additional parameter, depending on the distance between the wall and the plasma boundary, also affects the oscillation frequency so that the frequency becomes large when the wall-plasma boundary distance approaches zero.
Reviewer: Xiaodi Zhang (Zhengzhou)
MSC:
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 76E20 | Stability and instability of geophysical and astrophysical flows |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
Keywords:
MHD stability; magnetically confined cylindrical plasma; frequency scaling; dispersion relation; Fourier series; finite element methodReferences:
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