Instability of a thin layer of a magnetic fluid in a perpendicular magnetic field

Dikansky, Yuri; Zakinyan, Arthur; Mkrtchyan, Levon

doi:10.1134/s1063784210090069

Cited by 11 publications

(14 citation statements)

References 3 publications

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“…The characteristic spacing in the hexagonal pattern (instability wavenumber) follows an exponential decay with the thickness of the ferrofluid layer and a logarithmic increase with the applied field. 62 Consequently, the large wavenumbers of the instability-generated patterns in Fig. 6 result from the limited critical film thickness in a typical drop-casting experiment, i.e.…”

Section: Ferrohydrodynamic Instabilitiesmentioning

confidence: 97%

Tuning the structure and habit of iron oxide mesocrystals

et al. 2016

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A precise control over the meso- and microstructure of ordered and aligned nanoparticle assemblies, i.e., mesocrystals, is essential in the quest for exploiting the collective material properties for potential applications. In this work, we produced evaporation-induced self-assembled mesocrystals with different mesostructures and crystal habits based on iron oxide nanocubes by varying the nanocube size and shape and by applying magnetic fields. A full 3D characterization of the mesocrystals was performed using image analysis, high-resolution scanning electron microscopy and Grazing Incidence Small Angle X-ray Scattering (GISAXS). This enabled the structural determination of e.g. multi-domain mesocrystals with complex crystal habits and the quantification of interparticle distances with sub-nm precision. Mesocrystals of small nanocubes (l = 8.6-12.6 nm) are isostructural with a body centred tetragonal (bct) lattice whereas assemblies of the largest nanocubes in this study (l = 13.6 nm) additionally form a simple cubic (sc) lattice. The mesocrystal habit can be tuned from a square, hexagonal to star-like and pillar shapes depending on the particle size and shape and the strength of the applied magnetic field. Finally, we outline a qualitative phase diagram of the evaporation-induced self-assembled superparamagnetic iron oxide nanocube mesocrystals based on nanocube edge length and magnetic field strength.

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Section: Ferrohydrodynamic Instabilitiesmentioning

confidence: 97%

Tuning the structure and habit of iron oxide mesocrystals

et al. 2016

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“…The last assumption is confirmed by the results of Cebers (1997), who for a close problem showed that smearing of the diffusion front shifts the most dangerous mode to a longer wavelength. The result obtained rather resembles the behaviour of the free interface of a magnetic fluid, on which the Rosensweig instability (Cowley & Rosensweig 1967) develops upon instantaneous switching on of a magnetic field of various magnitudes (Bashtovoi, Krakov & Reks 1985; Dikansky, Zakinyan & Mkrtchyan 2010; Zakinyan, Mkrtchyan & Dikansky 2016). With an increase in the value of the switched-on magnetic field, the length of the most rapidly developing wavelength in this case significantly decreased.…”

Section: Numerical Results and Discussionmentioning

confidence: 64%

Instability of the miscible magnetic/non-magnetic fluid interface

Krakov

Zakinyan

2021

J. Fluid Mech.

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“…Increasing the magnetic field strength further leads to a breakup of liquid ridges into conical peaks arranged into a hexagonal pattern. This hexagonal pattern of peaks is analogous to the pattern arising in a normal magnetic field [9][10][11][12], but in this case the conical peaks are inclined to layer plane and the hexagons are stretched along the horizontal field component. The value of the external magnetic field strength at which the transition to a hexagonal pattern of peaks takes place was measured (the second critical field, H c2 ).…”

Section: Methodsmentioning

confidence: 67%

“…Peculiarities of thin layers instability is also a subject of several recent theoretical researches [6][7][8]. As to experiments in this area, it seems that only works [9][10][11][12] can be mentioned. The dependencies of the critical 1 magnetic field strength and critical wave number on the thickness of the magnetic fluid layer have been measured.…”

Section: Introductionmentioning

confidence: 99%

“…The dependencies of the critical 1 magnetic field strength and critical wave number on the thickness of the magnetic fluid layer have been measured. The supercritical wave number dependencies on the magnetic field strength and layer thickness have been obtained [9][10][11][12]. It was shown that the thickness dependence of the instability phenomena is the most pronounced in a layer of the thickness below 100 μm.…”

Section: Introductionmentioning

confidence: 99%

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Experimental investigation of surface instability of a thin layer of a magnetic fluid

Zakinyan

Mkrtchyan

Dikansky

2016

European Journal of Mechanics - B/Fluids

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In the present work the instability of a flat horizontal thin layer of a magnetic fluid (the depth of no more than 50 µm) under the action of a uniform magnetic field is studied experimentally. It was revealed that the development of instability under the action of tilted magnetic field can lead to the formation of parallel ridges on a fluid surface; the ridges undergo a transformation into hexagonal system of conical peaks with the magnetic field increasing. The necessary conditions for the formation of these surface patterns are studied. It was found that the development of instability of quite thin layers may result in layers breakup. The dependencies of instability wave number on the system physical parameters are obtained. The time for the development of instability is measured. The experimental results are compared with the existing theory and discussed.

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Instability of a thin layer of a magnetic fluid in a perpendicular magnetic field

Cited by 11 publications

References 3 publications

Tuning the structure and habit of iron oxide mesocrystals

Tuning the structure and habit of iron oxide mesocrystals

Instability of the miscible magnetic/non-magnetic fluid interface

Experimental investigation of surface instability of a thin layer of a magnetic fluid

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