Linear analysis of the dispersion relation of surface waves of a magnetic fluid in a square container under an external oblique magnetic field

Pramana ◽  
2020 ◽  
Vol 94 (1) ◽  
Author(s):  
Rabah Djeghiour ◽  
Bachir Meziani ◽  
Ouerdia Ourrad
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Surface Waves ◽  
Magnetic Fluid ◽  
Linear Analysis ◽  
External Oblique ◽  
External Oblique Magnetic Field ◽  
Oblique Magnetic Field

Finite-frequency surface waves on current sheets

1991 ◽  
Vol 45 (3) ◽  
pp. 389-406 ◽  
Author(s):  
K. P. Wessen ◽  
N. F. Cramer
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Surface Waves ◽  
Cyclotron Frequency ◽  
Low Frequency ◽  
Dielectric Tensor ◽  
Magnetic Field Direction ◽  
Field Reversal ◽  
Ion Cyclotron ◽  
The Magnetic Field

The dispersion relation for low-frequency surface waves at a current sheet between two magnetized plasmas is derived using the cold-plasma dielectric tensor with finite ion-cyclotron frequency. The magnetic field direction is allowed to change discontinuously across the sheet, but the plasma density remains constant. The cyclotron frequency causes a splitting of the dispersion relation into a number of mode branches with frequencies both less than and greater than the ion-cyclotron frequency. The existence of these modes depends in particular upon the degree of magnetic field discontinuity and the direction of wave propagation in the sheet relative to the magnetic field directions. Sometimes two modes can exist for the same direction of propagation. The existence of modes undamped by Alfvén resonance absorption is predicted. Analytical solutions are obtained in the low-frequency and magnetic-field-reversal limits. The solutions are obtained numerically in the general case.

The Mechanics of Ferroelastic Plates in a Uniform Magnetic Field

1970 ◽  
Vol 37 (1) ◽  
pp. 153-158 ◽  
Author(s):  
F. Moon
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Field Strength ◽  
Uniform Magnetic Field ◽  
Two Dimensional ◽  
Transverse Waves ◽  
Buckling Instability ◽  
Simply Supported ◽  
The Stability ◽  
Oblique Magnetic Field

The stability and vibration of two-dimensional ferroelastic plates in a uniform, static oblique magnetic field are investigated. It is shown that for either clamped or simply supported boundary conditions, the plate remains either undeformed or unstable. Buckling instability is found to occur only when the field is near normal to the plate. The buckling magnetic field and frequency field dispersion relation is found for a simply supported circular plate. At near-normal field incidence the lowest mode plate frequency decreases with magnetic field. Otherwise an increase in field strength is found to increase the natural frequency. The propagation of transverse waves down an infinite simply supported panel in a magnetic field is also studied.

Effect of rotation and a general oblique magnetic field on Kelvin–Helmholtz instability

1969 ◽  
Vol 47 (9) ◽  
pp. 975-978
Author(s):  
R. C. Sharma ◽  
K. M. Srivastava
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Helmholtz Instability ◽  
Stabilizing Effect ◽  
The Magnetic Field ◽  
Oblique Magnetic Field

In the present paper, we study the effect of rotation and of an oblique magnetic field on Kelvin–Helmholtz instability. The dispersion relation has been derived for the case of equal densities and different velocities. It is found that the magnetic field has a stabilizing effect, even in the presence of rotation.

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