Flow driven resistive wall instability

Veeresha, B. M.; Bhattacharyya, S. N.; Khare, Avinash

doi:10.1063/1.873735

Cited by 7 publications

(9 citation statements)

References 19 publications

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“…The dispersion relation given in Eq. ͑23͒ is identical to the one obtained recently by Veeresha et al 15 although these authors wrote the equation in a different form. It is helpful to re-write Eq.…”

Section: Solutions Of the Dispersion Relationsupporting

confidence: 79%

“…For a uniform incompressible slab of fluid in the presence of a uniform flow velocity along a uniform magnetic field it was shown that the flow velocity resulted in a resistive wall instability if v 0 Ͼͱ2c A where v 0 is the flow speed and c A the Alfvén speed. An extension of this model to a compressible plasma 14,15 showed that, in addition to this instability, a second resistive wall instability occurred when v 0 Ͼc S where c S is the sound speed, and for low beta conditions, c S Ӷc A . However, these very simple models are not relevant to a tokamak.…”

Section: Introductionmentioning

confidence: 97%

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The resistive wall instability and critical flow velocity

Lashmore-Davies

2001

Physics of Plasmas

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A cylindrical model with an equilibrium surface current and a uniform equilibrium plasma flow velocity parallel to the axis of the cylinder is used to investigate resistive wall instability. This system can be unstable to the ideal, external kink mode, which can be stabilized by the presence of a perfectly conducting wall. This is the classic condition for the resistive wall instability and the effect of a plasma flow velocity on this mode is explored. It is noted that a stable kink mode, Doppler shifted by the flow velocity, can pass through zero frequency for a velocity which depends on the marginal condition for the external kink instability. The passage through zero frequency is the condition for the kink mode to carry negative energy. It is shown how this mode implies a critical flow speed at which the resistive wall mode is further destabilized, with a growth rate inversely proportional to the square root of the wall time. Under these circumstances, the resistive wall mode behaves more like an ideal instability. All flow velocities are shown to be potentially destabilizing and the flow velocity can produce a resistive wall instability even when the plasma is stable to the external kink mode in the absence of a wall. At velocities well above the critical flow speed, the resistive wall growth rate is much reduced (inversely proportional to the wall time and to the flow speed).

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Section: Solutions Of the Dispersion Relationsupporting

confidence: 79%

Section: Introductionmentioning

confidence: 97%

The resistive wall instability and critical flow velocity

Lashmore-Davies

2001

Physics of Plasmas

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“…Such effects have been well studied in the literature, such as plasma flow in the presence of a resistive-wall [7]. In the present case, although the driving mechanism for the instability is different from the resistive-wall instability [8], it is clear that the instability will occur only due to the interaction of the wave with the electron E × B flow in the presence of electron collisions.…”

Section: Introductionmentioning

confidence: 66%

Resistive instabilities in Hall current plasma discharge

Litvak

Fisch

2001

Physics of Plasmas

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Plasma perturbations in the acceleration channel of a Hall thruster are found to be unstable in the presence of collisions. Both electrostatic lower-hybrid waves and electromagnetic Alfven waves transverse to the applied electric and magnetic field are found to be unstable due to collisions in the E × B electron flow. These results are obtained assuming a two-fluid hydrodynamic model in slab geometry. The characterisitic frequencies of these modes are consistent with experimental observations in Hall current plasma thrusters.

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Section: Introductionmentioning

confidence: 67%