Resistive instability in the absence of critical levels

Physics – Fluid Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

7

Geomagnetism, Magnetic Effects, Magnetic Permeability, Mathematical Models, Earth (Planet), Magnetic Diffusion

Scientific paper

Fearn and Weiglhofer (1992) identified and investigated an instability of the magnetic field B(sub 0) = B(sub 0)(s)1(sub phi) that is resistive in character but which is unstable when the condition usually associated with resistive instability k x B(sub 0) = 0 is not satisfied. The instability is not present when the (cylindrical) container boundaries are perfect conductors. Fearn and Weiglhofer tried to determine what other conditions, particularly on the choice of B(sub 0), are required for instability, but they could find no simple condition. Here we adopt a simpler plane-layer model in which the z-direction is normal to the plane. B(sub 0) = B(sub 0)(z)1(sub y), and the rotation vector Omega lies in the x-z plane, making an angle theta with the z-direction. The case theta = pi /2, with Omega parallel to the boundaries, corresponds most closely to Fearn and Weiglhofer's (1992) cylindrical model, but is a singular case in the magnetostrophic approximation. We show that the instability exists in the plane-layer model, for all values of theta. The simpler geometry permits some analytical progress. This establishes some necessary conditions for instability.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Resistive instability in the absence of critical levels does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Resistive instability in the absence of critical levels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resistive instability in the absence of critical levels will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1871463

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.