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Related papers: Ferrofluids under oscillatory magnetic fields

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Standing wave patterns that arise on the surface of ferrofluids by (single frequency) parametric forcing with an ac magnetic field are investigated experimentally. Depending on the frequency and amplitude of the forcing, the system exhibits…

Soft Condensed Matter · Physics 2009-10-31 Hyun-Jae Pi , So-yeon Park , Jysoo Lee , Kyoung J. Lee

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…

Pattern Formation and Solitons · Physics 2009-11-07 V. V. Mekhonoshin , Adrian Lange

Ferrofluids, colloidal dispersions of magnetic nanoparticles, are renowned for pattern formation like few other materials. The Rosensweig instability of a horizontal ferrofluid-air interface in perpendicular magnetic field is especially…

We have calculated the general dispersion relationship for surface waves on a ferrofluid layer of any thickness and viscosity, under the influence of a uniform vertical magnetic field. The amplification of these waves can induce an…

Fluid Dynamics · Physics 2009-10-30 Berengere Abou , Gilles Neron de Surgy , Jose-Eduardo Wesfreid

We report the observation of wave turbulence on the surface of a ferrofluid mechanically forced and submitted to a static normal magnetic field. We show that magnetic surface waves arise only above a critical field. The power spectrum of…

Classical Physics · Physics 2008-12-29 François Boyer , Eric Falcon

Strong effects of the Faraday instability on suspensions of rodlike colloidal particles are reported through measurements of the critical acceleration and of the surface wave amplitude. We show that the transition to parametrically excited…

Soft Condensed Matter · Physics 2013-01-30 Pierre Ballesta , M. Paul Lettinga , Sebastien Manneville

We establish the existence of saddle points for a free boundary problem describing the two-dimensional free surface of a ferrofluid which undergoes normal field instability (also known as Rosensweig instability). The starting point consists…

Analysis of PDEs · Mathematics 2018-02-26 Enea Parini , Athanasios Stylianou

We report observations of wave turbulence on the surface of a ferrofluid submitted to a magnetic field parallel to the fluid surface. The magnetic wave turbulence shows several differences compared to the normal field case reported…

Fluid Dynamics · Physics 2011-04-12 Stéphane Dorbolo , Eric Falcon

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…

Fluid Dynamics · Physics 2007-05-23 V. V. Mekhonoshin , Adrian Lange

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.…

Other Condensed Matter · Physics 2009-11-13 A. Beetz , C. Gollwitzer , R. Richter , I. Rehberg

We investigate Faraday waves on a viscoelastic liquid. Onset measurements and a nonlinear phase diagram for the selected patterns are presented. By virtue of the elasticity of the material a surface resonance synchronous to the external…

patt-sol · Physics 2009-10-31 C. Wagner , H. W. Mueller , K. Knorr

Ferrofluids are strongly magnetic fluids consisting of magnetic nanoparticles dispersed in a carrier fluid. Besides their technological applications, they have a tendency to form beautiful and intriguing patterns when subjected to external…

Soft Condensed Matter · Physics 2020-09-30 Carlo Rigoni , Bent Harnist , Grégory Beaune , Jaakko V. I. Timonen

We consider a horizontal ferrofluid layer sandwiched between two layers of immiscible non-magnetic fluids. In a sufficiently strong vertical magnetic field the flat interfaces between magnetic and non-magnetic fluids become unstable to the…

Materials Science · Physics 2009-11-10 Dirk Rannacher , Andreas Engel

Vertical oscillation of a fluid interface above a critical amplitude excites the Faraday instability, typically manifesting itself as a standing wave pattern. Fundamentally, the phenomenon is an example of parametric resonance. At high…

Fluid Dynamics · Physics 2013-10-10 William Batson , Farzam Zoueshtiagh , Ranga Narayanan

Through experimentation, we have discovered that with the changing of driving conditions, the Faraday waves undergo two abrupt transitions in spatiotemporal order: onset and instability. The driving amplitudes and frequencies corresponding…

Fluid Dynamics · Physics 2023-05-16 Peizhao Li , Tiancheng Yu , Xuechang Tu , Han Yan , Wei Wang , Luqun Zhou

This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a vertically oscillating rigid plane and with an upper boundary given by a free surface. We consider the problem with gravity and surface tension for…

Analysis of PDEs · Mathematics 2019-05-14 David Altizio , Ian Tice , Xinyu Wu , Taisuke Yasuda

We report on an experimental study of the Faraday instability in a vibrated fluid layer situated over a permeable and rough substrate, consisting either of a flat solid plate or of woven meshes having different openings and wire diameters,…

We report on different surface patterns on magnetic liquids following the Rosensweig instability. We compare the bifurcation from the flat surface to a hexagonal array of spikes with the transition to squares at higher fields. From a…

Pattern Formation and Solitons · Physics 2007-05-23 Christian Gollwitzer , Ingo Rehberg , Reinhard Richter

In a magnetic fluid parametrically driven surface waves can be excited by an external oscillating magnetic field. A static magnetic field changes the restoring forces and damping coefficients of the various surface waves. This property…

patt-sol · Physics 2009-10-31 Thomas Mahr , Ingo Rehberg

Ferrofluids show unusual hydrodynamic effects due to the magnetic nature of their constituents. For increasing magnetization a classical ferrofluid undergoes a Rosensweig instability and creates self-organized ordered surface structures or…

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