Response of a ferrofluid to traveling-stripe forcing

Abstract

We observe the dynamics of waves propagating on the surface of a ferrofluid under the influence of a spatially and temporarily modulated field. In particular, we excite plane waves by a travelling lamellar modulation of the magnetization. By this external driving both the wavelength and the propagation velocity of the waves can be controlled. The amplitude of the excited waves exhibits a resonance phenomenon similar to that of a forced harmonic oscillator. Its analysis reveals the dispersion relation of the free surface waves, from which the critical magnetic field for the onset of the Rosensweig instability can be extrapolated.

References in corpus (6)

• Two-dimensional solitons on the surface of magnetic fluids
• The Surface Topography of a Magnetic Fluid -- a Quantitative Comparison between Experiment and Numerical Simulation
• Growth of surface undulations at the Rosensweig instability
• Magnetic Faraday-Instability
• Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary Depth
• Fluid pumped by magnetic stress

Cited by in corpus (3)

• A new density variance - Mach number relation for subsonic and supersonic, isothermal turbulence
• Magnetic traveling-stripe-forcing: enhanced transport in the advent of the Rosensweig instability
• Universal dynamics of spatiotemporal entrainment with phase symmetry