The normal field instability in ferrofluids: hexagon–square transition mechanism and wavenumber selection

DOI10.1017/S002211200000882XzbMath0948.76522OpenAlexW2007106440MaRDI QIDQ4508024

Bérengère Abou, José Eduardo Wesfreid, Stéphane G. Roux

Publication date: 20 November 2000

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002211200000882x

Mathematics Subject Classification ID

Experimental work for problems pertaining to fluid mechanics (76-05) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

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THE ADJOINT PROBLEM IN THE PRESENCE OF A DEFORMED SURFACE: THE EXAMPLE OF THE ROSENSWEIG INSTABILITY ON MAGNETIC FLUIDS ⋮ A simplified phase-field lattice Boltzmann method with a self-corrected magnetic field for the evolution of spike structures in ferrofluids ⋮ The 2-3-4 spike competition in the Rosensweig instability ⋮ Nonlinear dynamics and chaos of magnetized resonant surface waves in a rectangular container ⋮ PHASE INSTABILITIES OF DISTORTED HEXAGONAL PATTERNS ⋮ Dynamics of ferrofluid drop deformations under spatially uniform magnetic fields ⋮ A diffuse interface model for two-phase ferrofluid flows ⋮ Shape and fission instabilities of ferrofluids in non-uniform magnetic fields ⋮ Surface shape stability analysis of a magnetic fluid in the field of an electromagnet ⋮ Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model

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