Journal ArticleDOI
Necessary and sufficient conditions for the hydromagnetic rayleigh-taylor stability of a cylindrical plasma
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TLDR
In this article, necessary and sufficient conditions for the stability of a cylindrical discharge can be extended to the case in which there is an external gravitational potential present, and explicit forms are obtained for the analogues of three well-known stability criteria.About:
This article is published in Journal of Nuclear Energy.The article was published on 1961-01-01. It has received 13 citations till now. The article focuses on the topics: Pinch.read more
Citations
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Convective instability in the presence of a nonuniform horizontal magnetic field
John H. Thomas,A. H. Nye +1 more
TL;DR: Newcomb's criterion for convective stability in the presence of a horizontal magnetic field is written in a form which explicitly shows the effect of vertical variations of the magnetic field strength as mentioned in this paper.
Journal ArticleDOI
Hydrodynamic and hydromagnetic stability of the Couette flow
TL;DR: In this article, the stability of Couette flow in the presence of a magnetic field and density stratification was examined. But the authors focused on the instability properties of the dissipative couette flow, and only a few percent of the instability parameters were found to be in good agreement.
Journal ArticleDOI
Stratorotational instability in MHD Taylor-Couette flows
G. Rüdiger,Dima Shalybkov +1 more
TL;DR: In this article, the stability of the dissipative Taylor-Couette flow with a stable axial density stratification and a prescribed azimuthal magnetic field is considered, and the influence of a current-free toroidal magnetic field on SRI strongly depends on the magnetic Prandtl number Pm.
Journal ArticleDOI
Magnetic inhibition of convection in O-star envelopes
TL;DR: In this paper, the authors developed and applied a criterion for a uniform magnetic field to suppress convection in stellar envelopes in which radiation pressure is a significant contributor to hydrostatic balance.
Journal ArticleDOI
Stratorotational instability in MHD Taylor-Couette flows
G. Ruediger,D.A. Shalybkov +1 more
TL;DR: The stability of dissipative Taylor-Couette flows with axial stable density stratification and a prescribed azimuthal magnetic field is considered in this paper, where global nonaxisymmetric solutions of the linearized MHD equations with toroidal magnetic field, axial dense stratification, and differential rotation are found for both insulating and conducting cylinder walls.
References
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Journal ArticleDOI
An Energy Principle for Hydromagnetic Stability Problems
TL;DR: In this paper, the stability of static, highly conducting, fully ionized plasmas is investigated by means of an energy principle developed from one introduced by Lundquist, and the derivation of the principle and the conditions under which it applies are given.
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Hydromagnetic stability of a diffuse linear pinch
TL;DR: In this article, the hydromagnetic energy principle is applied to the derivation of necessary and sufficient conditions for a linear pinch with distributed plasma current (a diffuse linear pinch), where the axial and azimuthal components of the magnetic field, which determine the structure of the pinch completely, are treated as arbitrary functions of distance from the axis.
Journal ArticleDOI
Some instabilities of a completely ionized plasma
TL;DR: In this article, two cases of equilibrium for a highly conducting plasma are investigated for their stability in the presence of a toroidal magnetic field and an electric current within the plasma, and they are found to be unstable against lateral distortions.
Journal ArticleDOI
A necessary condition for hydromagnetic stability of plasma with axial symmetry
TL;DR: In this article, a necessary condition for the stability of a plasma with axial symmetry was derived, which corresponds to displacements which are localized in the neighborhood of those surfaces of constant pressure on which the lines of force are closed.
Journal ArticleDOI
Experiments on the growth rate of surface instabilities in a linear pinched discharge
TL;DR: In this article, the growth of surface instabilities in a linear pinched discharge is investigated and numerical results on the growth rates are deduced from the observed growth rates with those predicted.
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