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The normal field instability in magnetic liquids is investigated experimentally by means of a radioscopic technique which allows a precise measurement of the surface topography. The dependence of the topography on the magnetic field is…

Pattern Formation and Solitons · Physics 2015-06-26 C. Gollwitzer , G. Matthies , R. Richter , I. Rehberg , L. Tobiska

If a magnetic field normal to the surface of a magnetic fluid is increased beyond a critical value a spontaneous deformation of the surface arises (normal field instability). The instability is subcritical and leads to peaks of a…

patt-sol · Physics 2016-09-08 Thomas Mahr , Ingo Rehberg

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

We characterize the phase space for the infinite volume limit of a ferromagnetic mean-field XY model in a random field pointing in one direction with two symmetric values. We determine the stationary solutions and detect possible phase…

Probability · Mathematics 2016-06-29 Francesca Collet , Wioletta Ruszel

An experimental study of bifurcations associated with stability of stationary points (SP's) in a parametrically forced magnetic pendulum and a comparison of its results with numerical results are presented. The critical values for which the…

chao-dyn · Physics 2008-02-03 Sang-Yoon Kim , S. H. Shin , J. Yi , J. W. Jang

Pattern formation on the free surface of a magnetic fluid subjected to a magnetic field is investigated experimentally. By tilting the magnetic field the symmetry can be broken in a controllable manner. When increasing the amplitude of the…

Pattern Formation and Solitons · Physics 2009-11-11 Bert Reimann , Reinhard Richter , Holger Knieling , Rene Friedrichs , Ingo Rehberg

Experimental measurements and numerical simulations are made on fluid flow through cross-slot devices with a range of aspect (depth:width) ratios, 0.4 < alpha < 3.87. For low Reynolds numbers Re, the flow is symmetric and a sharp boundary…

We report on the numerical and theoretical study of the subcritical bifurcation of parametrically amplified waves appearing at the interface between two immiscible incompressible fluids when the layer of the lower fluid is very shallow. As…

Fluid Dynamics · Physics 2016-07-20 Nicolas Périnet , Claudio Falcón , Jalel Chergui , Damir Juric , Seungwon Shin

The paper presents an experimental study of the instability of a magnetic fluid layer of finite thickness covering a magnetizable metal plate exposed to a perpendicular magnetic field. The critical field strength and the instability wave…

Materials Science · Physics 2013-07-30 Arthur Zakinyan , Levon Mkrtchyan

Quasistatic magnetoconvection of a low Prandtl number fluid ($\textrm{Pr}=0.025)$ with a vertical magnetic field is considered in a unit aspect ratio box with no-slip boundaries. At high relative magnetic field strengths, given by the…

Fluid Dynamics · Physics 2023-12-04 Matthew McCormack , Andrei Teimurazov , Olga Shishkina , Moritz Linkmann

We study static distributions of ferrofluid submitted to non-uniform magnetic fields. We show how the normal-field instability is modified in the presence of a weak magnetic field gradient. Then we consider a ferrofluid droplet and show how…

Fluid Dynamics · Physics 2018-03-14 Thibault Vieu , Clément Walter

The motionless conducting state of liquid metal convection with an applied vertical magnetic field confined in a vessel with insulating side walls becomes linearly unstable to wall modes through a supercritical pitchfork bifurcation.…

Fluid Dynamics · Physics 2025-10-09 Matthew McCormack , Andrei Teimurazov , Olga Shishkina , Moritz Linkmann

Vertical drop impacts of ferrofluids onto glass slides in a non-uniform magnetic field have been studied using high-speed photography. Outcomes have been classified based on the motion of the fluid-surface contact lines, and formation of…

We study the influence of surface anisotropy on the zero-temperature hysteretic properties of a small single-domain magnetic particle, and give an estimation of the anisotropy constant for which deviations from the Stoner-Wohlfarth model…

Statistical Mechanics · Physics 2009-11-07 H. Kachkachi , M. Dimian

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

The results of the flow structure visualization experiments conducted on the surface of a single bubble streamlined by uniform flow are presented. It is shown that, at certain critical values for bubble size, flow velocity, and…

Fluid Dynamics · Physics 2021-08-04 Anastasia Shmyrova , Andrey Shmyrov

We prove a bifurcation result of uniformly-rotating/stationary non-trivial vortex sheets near the circular distribution for a model of two irrotational fluids with same density taking into account surface tension effects. As bifurcation…

Analysis of PDEs · Mathematics 2024-10-17 Federico Murgante , Emeric Roulley , Stefano Scrobogna

Experimental studies are carried out to investigate the effects of the geometrical parameters with a drag reducing spike on a hemispherical forebody in a supersonic freestream of $M_\infty=2.0$ at $0^{\circ}$ angle of attack. The spike…

Fluid Dynamics · Physics 2020-05-08 Devabrata Sahoo , S. K. Karthick , Sudip Das , Jacob Cohen

We consider three mechanisms of hysteresis phenomena in alternating magnetic field: the domain wall motion in a random medium, the nucleation and the retardation of magnetization due to slow (critical) fluctuations. We construct…

Materials Science · Physics 2009-10-31 Igor F. Lyuksyutov , Thomas Nattermann , Valery Pokrovsky

Many materials such as martensitic or ferromagnetic crystals are observed to be in metastable states exhibiting a fine-scale, structured spatial oscillation called microstructure; and hysteresis is observed as the temperature, boundary…

Numerical Analysis · Mathematics 2025-10-20 Mitchell Luskin
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