Abstract
We investigate the growth of a pattern of liquid crests emerging in
a layer of magnetic liquid when subjected to a magnetic field
oriented normally to the fluid surface. After a step like increase
of the magnetic field, the temporal evolution of the pattern
amplitude is measured by means of a Hall-sensor array. The
extracted growth rate is compared with predictions from linear
stability analysis by taking into account the proper nonlinear
magnetization curve M(H). The remaining discrepancy can be
resolved by numerical calculations via the finite element method.
By starting with a finite surface perturbation it can reproduce the
temporal evolution of the pattern amplitude and the growth rate.
The investigations are performed for two magnetic liquids, one with
low and one with high viscosity.
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