Magnetoelastic waves in a soft electrically conducting solid in a strong magnetic field

2017 ◽  
Vol 141 (5) ◽  
pp. 3720-3720
Author(s):  
Daniel Gendin ◽  
Paul E. Barbone
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Electrically Conducting ◽  
Magnetoelastic Waves

scholarly journals Oscillations of weakly viscous conducting liquid drops in a strong magnetic field

2011 ◽  
Vol 671 ◽  
pp. 399-416 ◽  
Author(s):  
JĀNIS PRIEDE
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Liquid Metals ◽  
Perturbation Technique ◽  
Viscous Damping ◽  
Conducting Liquid ◽  
Liquid Drops ◽  
Electrically Conducting ◽  
Longitudinal Modes ◽  
Dc Magnetic Field

We analyse small-amplitude oscillations of a weakly viscous electrically conducting liquid drop in a strong uniform DC magnetic field. An asymptotic solution is obtained showing that the magnetic field does not affect the shape eigenmodes, which remain the spherical harmonics as in the non-magnetic case. A strong magnetic field, however, constrains the liquid flow associated with the oscillations and, thus, reduces the oscillation frequencies by increasing effective inertia of the liquid. In such a field, liquid oscillates in a two-dimensional (2D) way as solid columns aligned with the field. Two types of oscillations are possible: longitudinal and transversal to the field. Such oscillations are weakly damped by a strong magnetic field – the stronger the field, the weaker the damping, except for the axisymmetric transversal and inherently 2D modes. The former are overdamped because of being incompatible with the incompressibility constraint, whereas the latter are not affected at all because of being naturally invariant along the field. Since the magnetic damping for all other modes decreases inversely with the square of the field strength, viscous damping may become important in a sufficiently strong magnetic field. The viscous damping is found analytically by a simple energy dissipation approach which is shown for the longitudinal modes to be equivalent to a much more complicated eigenvalue perturbation technique. This study provides a theoretical basis for the development of new measurement methods of surface tension, viscosity and the electrical conductivity of liquid metals using the oscillating drop technique in a strong superimposed DC magnetic field.

Magnetohydrodynamic free convection

1964 ◽  
Vol 18 (4) ◽  
pp. 577-586 ◽  
Author(s):  
N. Riley
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Strong Magnetic Field ◽  
Vertical Plate ◽  
Conducting Fluid ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Method Of Solution ◽  
Moving Layer ◽  
Good Agreement

The flow of an electrically conducting fluid up a hot vertical plate in the presence of a strong magnetic field normal to the plate is considered. A solution is developed based on the idea of matching ‘outer’ and ‘inner’ solutions in the moving layer of fluid. An approximate Pohlhausen method of solution is also given which yields results in fairly good agreement with the exact analysis.

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