Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary Depth

Details Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary Depth Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary Depth

1999-09-21

arxiv.org/abs/patt-sol/9909008v2

Phys. Rev. E, 61 (2000) 5528

Nonlinear Sciences

Pattern Formation and Solitons

19 pages, 15 figures, RevTex; revised version with a new figure and references added. submitted to Phys Rev E

Scientific paper

10.1103/PhysRevE.61.5528

An analytical method within the frame of linear stability theory is presented for the normal field instability in magnetic fluids. It allows to calculate the maximal growth rate and the corresponding wave number for any combination of thickness and viscosity of the fluid. Applying this method to magnetic fluids of finite depth, these results are quantitatively compared to the wave number of the transient pattern observed experimentally after a jump--like increase of the field. The wave number grows linearly with increasing induction where the theoretical and the experimental data agree well. Thereby a long-standing controversy about the behaviour of the wave number above the critical magnetic field is tackled.

Affiliated with

Also associated with

No associations

Rating

Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary Depth 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 Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary Depth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary Depth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-15157