Abstract
The linear stability analysis of the Faraday instability on a
viscous ferrofluid in a horizontal magnetic field is performed.
Strong dipole-dipole interactions lead to the formation of chains
elongated in the field direction. The formation of chains results
in a qualitative new behaviour of the ferrofluid. This new behaviour
is characterized by a neutral stability curve similar to that observed
earlier for Maxwell viscoelastic liquids and causes a significant
weakening of the energy dissipation at high frequencies. In the
case of a ferrofluid with chains in a horizontal magnetic field,
the effective viscosity is anisotropic and depends on the field
strength as well as on the wave frequency.
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