Surface waves in ferrofluids under vertical magnetic field

Browaeys, Julien; Bacri, Jean‐Claude; Flament, C.; Neveu, Sophie; Perzynski, R.

doi:10.1007/s100510050773

Cited by 31 publications

(29 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[22] for shallow surface waves. The straightforward technique, namely the lateral observation, is only possible for zero-or onedimensional systems [7,23].…”

Section: Methodsmentioning

confidence: 99%

Linear and nonlinear approach to the Rosensweig instability

2007

View full text Add to dashboard Cite

Key words magnetic fluids, ferrofluid, interfacial instability, Rosensweig instability, pattern formation, hydrodynamic stability, solitons, finite elements.We report on recent efforts to improve the understanding of the Rosensweig instability in the linear as well as in the nonlinear regime. In the linear regime we focus on the wavenumber of maximal growth and the oscillatory decay of metastable magnetic liquid ridges, accessible via a new pulse technique. We compare the measurements with the predictions of the linear stability analysis. In the nonlinear regime the fully developed Rosensweig pattern was successfully estimated by the method of finite elements, taking into account the nonlinear magnetization law. For a comparison with these results the three-dimensional surface profile is recorded by a radioscopic measurement technique. The bifurcation diagram measured in this way can be fitted by the roots of an amplitude equation. Eventually we investigate ferrosolitons, which were recently uncovered in the bistability interval of the Rosensweig instability.

show abstract

“…[22] for shallow surface waves. The straightforward technique, namely the lateral observation, is only possible for zero-or onedimensional systems [7,23].…”

Section: Methodsmentioning

confidence: 99%

Linear and nonlinear approach to the Rosensweig instability

2007

View full text Add to dashboard Cite

show abstract

“…It should be noted that the influence of a normal magnetic field (studied in [24,26]) and a horizontal field (studied in the present paper) on Faraday waves are different. The normal magnetic field increases the critical wave number of the Faraday waves [26], whereas the horizontal magnetic field decreases the wave number. Thus, the sensitivity of ferrofluids to magnetic fields allows one both to increase and to decrease the critical wave number.…”

Section: Resultsmentioning

confidence: 63%

“…Parametric waves on the surface of a ferrofluid can be excited using a vertical [26] or a horizontal [27,28] alternating magnetic field. This phenomenon is called the magnetic Faraday instability.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Faraday instability on viscous ferrofluids in a horizontal magnetic field: Oblique rolls of arbitrary orientation

Mekhonoshin

Lange

2002

Phys. Rev. E

View full text Add to dashboard Cite

A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability threshold on the magnetic field is found at high frequencies of the vibrations. The reasons of the decrease of the critical acceleration amplitude caused by a horizontal magnetic field are discussed. It is revealed that the magnetic field can be used to select the first unstable pattern of Faraday waves. In particular, a rhombic pattern as a superposition of two different oblique rolls can occur. A scaling law is presented which maps all data into one graph for the tested range of viscosities, frequencies, magnetic fields and layer thicknesses.

show abstract

“…Refs. [18,[25][26][27][28][29][30][31]. However, its counterpart in ferrogels is still awaiting measurements.…”

Section: Introductionmentioning

confidence: 99%

Surface instabilities and magnetic soft matter

et al. 2009

View full text Add to dashboard Cite

We report on the formation of surface instabilities in a layer of thermoreversible ferrogel when exposed to a vertical magnetic field. Both static and time dependent magnetic fields are employed. Under variations of temperature, the viscoelastic properties of our soft magnetic matter can be tuned. Stress relaxation experiments unveil a stretched exponential scaling of the shear modulus, with an exponent of β = 1/3. The resulting magnetic threshold for the formation of Rosensweig-cusps is measured for different temperatures, and compared with theoretical predictions by Bohlius et. al. in

show abstract

Surface waves in ferrofluids under vertical magnetic field

Abstract: International audienc

Cited by 31 publications

References 13 publications

Linear and nonlinear approach to the Rosensweig instability

Linear and nonlinear approach to the Rosensweig instability

Faraday instability on viscous ferrofluids in a horizontal magnetic field: Oblique rolls of arbitrary orientation

Surface instabilities and magnetic soft matter

Contact Info

Product

Resources

About