O Lavrova et al 2006 J. Phys.: Condens. Matter 18 S2657 doi:10.1088/0953-8984/18/38/S09
O Lavrova1, G Matthies2, T Mitkova1, V Polevikov3 and L Tobiska1
Show affiliationsThe numerical treatment of free surface problems in ferrohydrodynamics is considered. Starting from the general model, special attention is paid to field–surface and flow–surface interactions. Since in some situations these feedback interactions can be partly or even fully neglected, simpler models can be derived. The application of such models to the numerical simulation of dissipative systems, rotary shaft seals, equilibrium shapes of ferrofluid drops, and pattern formation in the normal-field instability of ferrofluid layers is given. Our numerical strategy is able to recover solitary surface patterns which were discovered recently in experiments.
47.65.Cb Magnetic fluids and ferrofluids
47.10.-g General theory in fluid dynamics
Issue 38 (27 September 2006)
Received 28 April 2006, in final form 14 July 2006
Published 8 September 2006
O Lavrova et al 2006 J. Phys.: Condens. Matter 18 S2657
Ian M Mills et al 2006 Metrologia 43 227
J Baudon et al 1999 J. Phys. B: At. Mol. Opt. Phys. 32 R173
G Trapon et al 2003 Metrologia 40 159
P Cornille 1990 J. Phys. D: Appl. Phys. 23 129
Thomas J Webster et al 2004 Nanotechnology 15 48
V A Aleksandrov 2003 Russ. Math. Surv. 58 593
A J F Hayes et al 2004 J. Opt. B: Quantum Semiclass. Opt. 6 533
A M Akulshin et al 2002 Quantum Electron. 32 567
Kenneth J Loh et al 2007 Smart Mater. Struct. 16 429