Journal ArticleDOI
Instability of a surface of discontinuity of velocity in a parallel uniform magnetic field
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In this paper, the magnetic field was uniform and parallel to the velocity on the two sides of a surface of discontinuity of velocity in an electrically conducting inviscid fluid, and it was found that the flow is unstable for all values of BETA and N.Abstract:
The problem was investigated when the magnetic field was uniform and parallel to the velocity on the two sides of a surface of discontinuity of velocity in an electrically conducting inviscid fluid. The secular equation depends on two parameters BETA and N, where BETA is the ratio of magnetic Reynolds number to dimensionless wave number and N is the ratio of the magnetic to the kinetic energy of the fluid. It was found that the flow is unstable for all values of BETA and N. (auth)read more
Citations
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Resistive Tearing Modes in a Sheet Pinch with Shear Flow
TL;DR: In this paper, a perturbation theory using asymptotic series is applied for small resistivity and sero viscosity in a plane sheet pinch with shear bulk plasma flow present.
Journal ArticleDOI
Hydromagnetic Stability of a Plane Vortex Sheet in Finitely Conducting Fluids
B. B. Chakraborty,R. K. Jindia +1 more
TL;DR: In this article, the stability of a plane vortex sheet in an inviscid, incompressible and finitely conducting fluid in the presence of a uniform magnetic field, parallel to the fluid velocity directions, is studied against small disturbances.
Journal ArticleDOI
Kelvin-Helmholtz instability of superposed hydromagnetic fluids of different densities with finite-resistivity.
R. K. Chhajlani,P. Purohit +1 more
TL;DR: In this article, the hydromagnetic Kelvin-Helmholtz instability of two superposed fluids of different densities is studied and the influence of β on stable and unstable regions as compared to the case when β is unity has been investigated.
Journal ArticleDOI
Electrohydrodynamic Kelvin–Helmholtz Instability Conditions of a Vortex Sheet in Uniform Shear Flow
TL;DR: In this paper, an eigenvalue equation for the complex wave velocity is obtained from which the stability conditions of a vortex sheet are obtained. But the eigenvalues of the wave velocity were not obtained for the case of background vorticity.
Journal ArticleDOI
Effect of an Axial Magnetic Field on the Stability of an Axisymmetric Jet or Wake
TL;DR: In this paper, the effect of a uniform axial magnetic field on the sinuous unstable mode of an axisymmetric jet or wake is investigated, and it is shown that the magnetic field always decreases the amplification rate.
References
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Journal ArticleDOI
The stability of a combined current and vortex sheet in a perfectly conducting fluid
Journal ArticleDOI
Stability of parallel flow in a parallel magnetic field at small magnetic Reynolds numbers
TL;DR: In this article, the hydromagnetic stability of a basic two-dimensional parallel flow of an incompressible conducting fluid in a uniform magnetic field parallel to the flow is considered, and it is shown that any given small wave disturbance can be stabilized by a sufficiently strong magnetic field if the Reynolds number is finite and the magnetic Reynolds number small.