Afkhami, S., Renardy, Y., Renardy, M., Riffle, J. S. & St Pierre, T.
2008
Field-induced motion of ferrofluid droplets through immiscible viscous media. J. Fluid Mech.
610, 363–380.

Afkhami, S., Tyler, A. J., Renardy, Y., Renardy, M., Pierre, T. G. St., Woodward, R. C. & Riffle, J. S.
2010
Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields. J. Fluid Mech.
663, 358–384.

Bacri, J. C., Cēbers, A. O. & Perzynski, R.
1994
Behavior of a magnetic fluid microdrop in a rotating magnetic field. Phys. Rev. Lett.
72, 2705–2708.

Bacri, J. C., Drame, C., Kashevsky, B., Neveu, S., Perzynski, R. & Redon, C.
1995
Motion of a pair of rigid ferrofluid drops in a rotating magnetic field. In Trends in Colloid and Interface Science IX, Progress in Colloid and Polymer Science, vol. 98, pp. 124–127. Springer.

Bacri, J. C. & Salin, D.
1982
Instability of ferrofluid magnetic drops under magnetic field. J. Phys. Lett.
43, 649–654.

Bailey, R. L.
1983
Lesser known applications of ferrofluids. J. Magn. Magn. Mater.
39, 178–182.

Baygents, J. C., Rivette, N. J. & Stone, H. A.
1998
Electrohydrodynamic deformation and interaction of drop pairs. J. Fluid Mech.
368, 359–375.

Brackbill, J. U., Kothe, D. B. & Zemach, C.
1992
A continuum method for modeling surface tension. J. Comput. Phys.
100, 335–354.

Cēbers, A.
2002
Dynamics of an elongated magnetic droplet in a rotating field. Phys. Rev. E
66, 061402.

Cēbers, A. & Lācis, S.
1995
Magnetic fluid free surface instabilities in high-frequency rotating magnetic fields. Braz. J. Phys.
25, 101–111.

Chen, C.-Y., Hsueh, H.-C., Wang, S.-Y. & Li, Y.-H.
2015
Self-assembly and novel planetary motion of ferrofluid drops in a rotational magnetic field. Microfluid Nanofluid
18, 795–806.

Chen, C.-Y. & Li, C.-S.
2010
Ordered microdroplet formations of thin ferrofluid layer breakups. Phys. Fluids
22, 014105.

Conroy, D. T. & Matar, O. K.
2015
Thin viscous ferrofluid film in a magnetic field. Phys. Fluids
27, 092102.

Cowley, M. D. & Rosensweig, R. E.
1967
The interfacial stability of a ferromagnetic fluid. J. Fluid Mech.
30, 671–688.

Erdmanis, J., Kitenbergs, G., Perzynski, R. & Cēbers, A.
2017
Magnetic micro-droplet in rotating field: numerical simulation and comparison with experiment. J. Fluid Mech.
821, 266–295.

Falcucci, G., Chiatti, G., Succi, S., Mohamad, A. A. & Kuzmin, A.
2009
Rupture of a ferrofluid droplet in external magnetic fields using a single-component lattice Boltzmann model for nonideal fluids. Phys. Rev. E
79, 056706.

Feng, J. J. & Chen, C.-Y.
2016
Interfacial dynamics in complex fluids. J. Fluid Sci. Tech.
11, JFST0021.

Fischer, B., Huke, B., Lücke, M. & Hempelmann, R.
2005
Brownian relaxation of magnetic colloids. J. Magn. Magn. Mater.
289, 74–77.

Gao, Y., Hulsen, M. A., Kang, T. G. & den Toonder, J. M. J.
2012
Numerical and experimental study of a rotating magnetic particle chain in a viscous fluid. Phys. Rev. E
86, 041503.

Garton, C. G. & Krasucki, Z.
1964
Bubbles in insulating liquids: stability in an electric field. Proc. R. Soc. Lond. A
280, 211–226.

Helgesen, G., Pieranski, P. & Skjeltorp, A. T.
1990
Dynamic behavior of simple magnetic hole systems. Phys. Rev. A
42, 7271–7280.

Korlie, M. S., Mukherjee, A., Nita, B. G., Stevens, J. G., Trubatch, A. D. & Yecko, P.
2008
Modeling bubbles and droplets in magnetic fluids. J. Phys.: Condens. Matter
20, 204143.

Lācis, S.
1999
Bending of ferrofluid droplet in rotating magnetic field. J. Magn. Magn. Mater.
201, 335–338.

Lamb, H.
1911
XV. On the uniform motion of a sphere through a viscous fluid. Phil. Mag.
21, 112–121.

Lebedev, A. V., Engel, A., Morozov, K. I. & Bauke, H.
2003
Ferrofluid drops in rotating magnetic fields. New J. Phys.
5, 57.

Lebedev, A. V. & Morozov, K. I.
1997
Dynamics of a drop of magnetic liquid in a rotating magnetic field. J. Expl Theor. Phys.
65, 160–165.

Lee, W. K., Scardovelli, R., Trubatch, A. D. & Yecko, P.
2010
Numerical, experimental, and theoretical investigation of bubble aggregation and deformation in magnetic fluids. Phys. Rev. E
82, 016302.

López-Herrera, J. M., Popinet, S. & Herrada, M. A.
2011
A charge-conservative approach for simulating electrohydrodynamic two-phase flows using volume-of-fluid. J. Comput. Phys.
230, 1939–1955.

Lu, C.-Y.2017 Dynamics of ferrofluid drops in a rotational field. Master’s thesis, National Chiao Tung University, Hsinchu, Taiwan, ROC.

Mefford, O. T., Woodward, R. C., Goff, J. D., Vadala, T. P., Pierre, T. G. St., Dailey, J. P. & Riffle, J. S.
2007
Field-induced motion of ferrofluids through immiscible viscous media: testbed for restorative treatment of retinal detachment. J. Magn. Magn. Mater.
311, 347–353.

Miranda, J. A.
2000
Rotating Hele-Shaw cells with ferrofluids. Phys. Rev. E
62, 2985–2988.

Morozov, K. I., Engel, A. & Lebedev, A. V.
2002
Shape transformations in rotating ferrofluid drops. Europhys. Lett.
58, 229–235.

Popinet, S.
2003
Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries. J. Comput. Phys.
190, 572–600.

Popinet, S.
2009
An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys.
228, 5838–5866.

Rosensweig, R. E.
1982
Magnetic fluids. Sci. Am.
247, 136–145.

Rowghanian, P., Meinhart, C. D. & Campàs, O.
2016
Dynamics of ferrofluid drop deformations under spatially uniform magnetic fields. J. Fluid Mech.
802, 245–262.

Serwane, F., Mongera, A., Rowghanian, P., Kealhofer, D. A., Lucio, A. A., Hockenbery, Z. M. & Campàs, O.
2017
*In vivo* quantification of spatially varying mechanical properties in developing tissues. Nat. Meth.
14, 181–186.

Sherwood, J. D.
1991
The deformation of a fluid drop in an electric field: a slender-body analysis. J. Phys. A
24, 4047–4053.

Shliomis, M. I.
1972
Effective viscosity of magnetic suspensions. J. Exp. Theor. Phys.
34, 1291–1294.

Shliomis, M. I. & Morozov, K. I.
1994
Negative viscosity of ferrofluid under alternating magnetic field. Phys. Fluids
6, 2855–2861.

Stone, H. A., Lister, J. R. & Brenner, M. P.
1999
Drops with conical ends in electric and magnetic fields. Proc. R. Soc. Lond. A
455, 329–347.

Tackett, R. J., Thakur, J., Mosher, N., Perkins-Harbin, E., Kumon, R. E., Wang, L., Rablau, C. & Vaishnava, P. P.
2015
A method for measuring the Néel relaxation time in a frozen ferrofluid. J. Appl. Phys.
118, 064701.

Tan, S.-H., Nguyen, N.-T., Yobas, L. & Kang, T. G.
2010
Formation and manipulation of ferrofluid droplets at a microfluidic *T*-junction. J. Micromech. Microengng
20, 045004.

Timonen, J. V. I., Latikka, M., Leibler, L., Ras, R. H. A. & Ikkala, O.
2013
Switchable static and dynamic self-assembly of magnetic droplets on superhydrophobic surfaces. Science
341, 253–257.

Voltairas, P. A., Fotiadis, D. I. & Michalis, L. K.
2002
Hydrodynamics of magnetic drug targeting. J. Biomech.
35, 813–821.

Yue, P., Feng, J. J., Liu, C. & Shen, J.
2005
Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids. J. Non-Newtonian Fluid Mech.
129, 163–176.

Zhu, G.-P., Nguyen, N.-T., Ramanujan, R. V. & Huang, X.-Y.
2011
Nonlinear deformation of a ferrofluid droplet in a uniform magnetic field. Langmuir
27, 14834–14841.