Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 263
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Kadau, Holger Schmitt, Matthias Wenzel, Matthias Wink, Clarissa Maier, Thomas Ferrier-Barbut, Igor and Pfau, Tilman 2016. Observing the Rosensweig instability of a quantum ferrofluid. Nature, Vol. 530, Issue. 7589, p. 194.

    Lange, Adrian Gollwitzer, Christian Maretzki, Robin Rehberg, Ingo and Richter, Reinhard 2016. Retarding the growth of the Rosensweig instability unveils a new scaling regime. Physical Review E, Vol. 93, Issue. 4,

    Mitsufuji, Kenta Matsuzawa, Shuhei Hirata, Katsuhiro and Miyasaka, Fumikazu 2016. Meshless Method Employing Magnetic Moment Method and Particle Method for Magnetic Fluid Motion Analysis. IEEJ Journal of Industry Applications, Vol. 5, Issue. 4, p. 355.

    Nochetto, Ricardo H. Salgado, Abner J. and Tomas, Ignacio 2016. A diffuse interface model for two-phase ferrofluid flows. Computer Methods in Applied Mechanics and Engineering, Vol. 309, p. 497.

    Saito, Hiroki 2016. Path-Integral Monte Carlo Study on a Droplet of a Dipolar Bose–Einstein Condensate Stabilized by Quantum Fluctuation. Journal of the Physical Society of Japan, Vol. 85, Issue. 5, p. 053001.

    Shuai, M. Klittnick, A. Shen, Y. Smith, G. P. Tuchband, M. R. Zhu, C. Petschek, R. G. Mertelj, A. Lisjak, D. Čopič, M. Maclennan, J. E. Glaser, M. A. and Clark, N. A. 2016. Spontaneous liquid crystal and ferromagnetic ordering of colloidal magnetic nanoplates. Nature Communications, Vol. 7, p. 10394.

    Singh, Chamkor Das, Arup K. and Das, Prasanta K. 2016. Single-mode instability of a ferrofluid-mercury interface under a nonuniform magnetic field. Physical Review E, Vol. 94, Issue. 1,

    Wächtler, F. and Santos, L. 2016. Quantum filaments in dipolar Bose-Einstein condensates. Physical Review A, Vol. 93, Issue. 6,

    Conroy, Devin T. and Matar, Omar K. 2015. Thin viscous ferrofluid film in a magnetic field. Physics of Fluids, Vol. 27, Issue. 9, p. 092102.

    Dias, Eduardo O. and Miranda, José A. 2015. Azimuthal field instability in a confined ferrofluid. Physical Review E, Vol. 91, Issue. 2,

    Gandikota, G. Pichavant, G. Chatain, D. Amiroudine, S. and Beysens, D. 2015. Geyser Formation in Oxygen when Subjected to fast Acceleration Changes. Microgravity Science and Technology, Vol. 27, Issue. 2, p. 115.

    Herlach, Dieter M. Binder, Sven Galenko, Peter Gegner, Jan Holland-Moritz, Dirk Klein, Stefan Kolbe, Matthias and Volkmann, Thomas 2015. Containerless Undercooled Melts: Ordering, Nucleation, and Dendrite Growth. Metallurgical and Materials Transactions A, Vol. 46, Issue. 11, p. 4921.

    Knobloch, E. 2015. Spatial Localization in Dissipative Systems. Annual Review of Condensed Matter Physics, Vol. 6, Issue. 1, p. 325.

    Ma, Rongchao Zhou, Yixin and Liu, Jing 2015. Floating and flying ferrofluid bridges induced by external magnetic fields. Modern Physics Letters B, Vol. 29, Issue. 09, p. 1550029.

    Mailfert, Alain Beysens, Daniel Chatain, Denis Lorin, Clément and Razek, Adel 2015. Magnetic compensation of gravity in fluids: performance and constraints. The European Physical Journal Applied Physics, Vol. 71, Issue. 1, p. 10902.

    Shikin, V. 2015. Periodic spinodal decomposition as a self-limited instability. Physica B: Condensed Matter, Vol. 460, p. 126.

    SUDO, Seiichi NAKANISHI, Masato SHINOZAKI, Michihiro and NISHIYAMA, Hideya 2015. Development of micro diaphragm mechanism using surface phenomenon of magnetic fluid. Transactions of the JSME (in Japanese), Vol. 81, Issue. 823, p. 14-00500.

    Uehara, S Itoga, T and Nishiyama, H 2015. Discharge and flow characteristics using magnetic fluid spikes for air pollution control. Journal of Physics D: Applied Physics, Vol. 48, Issue. 28, p. 282001.

    2015. Acoustics of Nanodispersed Magnetic Fluids.

    Cao, Yuan and Ding, Z.J. 2014. Formation of hexagonal pattern of ferrofluid in magnetic field. Journal of Magnetism and Magnetic Materials, Vol. 355, p. 93.


The interfacial stability of a ferromagnetic fluid

  • M. D. Cowley (a1) (a2) and R. E. Rosensweig (a3)
  • DOI:
  • Published online: 01 March 2006

A normal magnetic field has a destabilizing influence on a flat interface between a magnetizable and a non-magnetic fluid. Stabilizing influences are provided by interfacial tension and gravity if the lighter fluid is uppermost. The critical level of magnetization for onset of the instability is derived for a fluid having a non-linear relation between magnetization and magnetic induction. Experiments using a magnetizable fluid, which contains a colloidal suspension of ferromagnetic particles, at interfaces with air and water are made and cover a wide range of density differences. Measurements confirm the prediction for critical magnetization, and it was found that, after onset, the interface took a new form in which the elevation had a regular hexagonal pattern. The pattern was highly stable, and the measured spacing of peaks agreed reasonably with that derived from the critical wave-number for the instability of a flat interface.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *