The normal field instability under side-wall effects: comparison of experiments and computations

Details The normal field instability under side-wall effects: comparison of experiments and computations The normal field instability under side-wall effects: comparison of experiments and computations

2009-04-24

arxiv.org/abs/0904.3864v1

Nonlinear Sciences

Pattern Formation and Solitons

accepted to New Journal of Physics

Scientific paper

We consider a single spike of ferrofluid, arising in a small cylindrical container, when a vertically oriented magnetic field is applied. The height of the spike as well as the surface topography is measured experimentally by two different technologies and calculated numerically using the finite element method. As a consequence of the finite size of the container, the numerics uncovers an imperfect bifurcation to a single spike solution, which is forward. This is in contrast to the standard transcritical bifurcation to hexagons, common for rotational symmetric systems with broken up-down symmetry. The numerical findings are corroborated in the experiments. The small hysteresis observed is explained in terms of a hysteretic wetting of the side wall.

Affiliated with

Also associated with

No associations

Rating

The normal field instability under side-wall effects: comparison of experiments and computations 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 The normal field instability under side-wall effects: comparison of experiments and computations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The normal field instability under side-wall effects: comparison of experiments and computations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609601