Abstract
The conditions of existence of a stable rupture in a horizontal ferrofluid layer on a liquid base are determined experimentally. The characteristics of ruptures of ferrofluid, kerosene, and water layers are compared to estimate the effect of different physicochemical properties of the liquid pairs used. It is found that switching-on a magnetic field parallel to the ferrofluid layer surface initiates deformation of the rupture and its simultaneous motion along the field. The dependences of the geometric parameters of the rupture on the magnetic field strength and the magnetic susceptibility of ferrofluid are established. The possibility of closing the stable rupture under the action of a magnetic field is demonstrated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V.G. Babskii, N.D. Kopachevskii, A.D. Myshkis, L.A. Slobozhanin, and A.D. Tyuptsov, Cosmos Hydrodynamics (Nauka, Moscow, 1976) [in Russian].
D.V. Sivukhin, Course of General Physics. Vol. 1. Mechanics (Fizmatlit, Moscow, 2002) [in Russian].
Yu.Yu. Stoilov, “Liquid Oscillations under Evaporation and Paradoxes of Evaporators,” Uspekhi Fiz. Nauk 170, No. 1, 41–56 (2000).
K.G. Kostarev and A.V. Shmyrov, “Stable Surface Ruptures of a Two-Layer Immiscible Liquid System,” in Convective Flows, No. 2 (PGPU, Perm’, 2005) [in Russian], pp. 73–86.
K.G. Kostarev and A.V. Shmyrov, “Stable Ruptures in Two-Layer Liquid Systems. Influence of Edge Effects,” in Hydrodynamics, No. 16 (PGU, Perm’, 2007) [in Russian], pp. 142–148.
R.E. Rosensweig, Ferrohydrodynamics (Cambridge University Press, Cambridge, 1985; Mir, Moscow, 1989).
A.V. Lebedev, A. Engel, K.I. Morozov, and H. Bauke, “Ferrofluid Drops in Rotating Magnetic Fields,” New J. Phys. 5, 57.1–57.20 (2003).
D.P. Jackson and J.A. Miranda, “Controlling Fingering Instabilities in Rotating Ferrofluids,” Phys. Rev. E. 67, Art. No. 017301, 173011–173014 (2003).
R. Richter and A. Lange, “Surface Instabilities of Ferrofluids,” Lect. Notes Phys., No. 763, 157–247 (2009).
V.M. Starov, A. De Ryck, and M.G. Velarde, “On the Spreading of an Insoluble Surfactant over a Thin Viscous Liquid Layer,” Colloid and Interface Sci. 190, No. 1, 104–113 (1997).
K.S. Lee, N. Ivanova, V.M. Starov, N. Hilal, and V. Dutschk, “Kinetics of Wetting and Spreading by Aqueous Surfactant Solutions,” Adv. Colloid and Interface Sci. 144, No. 1–2, 54–65 (2008).
K.S. Lee and V.M. Starov, “Spreading of Surfactant Solutions over Thin Aqueous Layers at Low Concentrations: Influence of Solubility,” J. Colloid and Interface Sci. 329, No. 2, 361–365 (2009).
J.P. Burelbach, S.G. Bankoff, and S.H. Davis, “Steady Thermocapillary Flows of Thin Liquid Layers. II. Experiment,” Phys. Fluids. A. 2, No. 3, 322–323 (1990).
A. Thess and W. Boos, “A Model for Marangoni Drying,” Physics of Fluids 11, No. 12, 3852–3855 (1999).
A.L. Zuev, “Rupture of a Liquid Layer by a Concentration-Capillary Flow,” Kolloid. Zh. 69, No. 3, 315 (2007).
M.I. Shliomis, “Magnetic Fluids,” Usp. Fiz. Nauk 112, No. 3. 427–458 (1974).
V.E. Samonov, “Mathematical Simulation of Motion of a This Fluid Layer Subjected to Surface Forces,” Thesis for Degree of Candidate of Physico-Mathematical Sciences (Stavropol’, 1984) [in Russian].
Yu.I. Dikanskii, A.R. Zakinyan, and L.S. Mkrtchyan, “Instability of a Thin Magnetic Fluid Layer in a Perpendicular Magnetic Field,” Zh. Tekhn. Fiz. 80, No. 9, 38–43 (2010).
Yu.K. Bratukhin, A.L. Zuev, K.G. Kostarev, and A.V. Shmyrov, “Stability of a Steady-State Discontinuity of a Fluid Layer on the Surface of an Immiscible Fluid,” Fluid Dynamics 44(3), 340–350 (2009).
J. Ishimoto, M. Okubo, S. Kamiyama, and M. Higashitani, “Bubble Behavior in Magnetic Fluid under a Nonuniform Magnetic Field,” JSME. Int. J. Ser. B 38, No. 3, 382–387 (1995).
K. Ueno, M. Higashitani, and S. Kamiyama, “Study on Single Bubbles Rising in Magnetic Fluid for Small Weber Number,” J. Magnetism and Magnetic Materials 149, No. 1, 104–107 (1995).
K. Ueno, T. Nishita, and S. Kamiyama, “Numerical Simulation of Deformed Single Bubbles Rising in Magnetic Fluid,” J. Magnetism and Magnetic Materials 201 No. 1, 281–284 (1999).
Ph. Yecko, W.-K. Lee, R. Scardovelli, and A.D. Trubatch, “Deformation and Magnetophoresis of Bubbles in Magnetic Fluids (Ferrofluids),” in 62nd Ann. Meeting of the APS Division of Fluid Dynamics. N. Y. Am. Phys. Soc. (2009), Abs. HJ.003.
K.A. Bushueva, K.G. Kostarev, and A.V. Lebedev, “Effect of a Longitudinal Magnetic Field on a Stable Rupture of a Horizontal Ferrofluid Layer on a Liquid Base,” in Physicochemical and Applied Problems of Magnetic Dispersive Nanosystems (Stavropol’, 2009) [in Russian], pp. 218–223.
V.G. Bashtovoi, S.G. Pogirnitskaya, and A.G. Reks, “Determination of the Shape of a Free Drop of Magnetic Fluid in a Homogeneous Magnetic Field,” Magnitnaya Gidrodinamika, No. 3, 23–26 (1987).
V. Bashtovoi, S. Pogirnitskaya, and A. Reks, “Dynamics of Deformation of Magnetic Fluid at Drops in a Homogeneous Longitudinal Magnetic Field,” J. Magnetism and Magnetic Materials 201, Nos. 1–3, 300–302 (1999).
Additional information
Original Russian Text © K.A. Bushueva, K.G. Kostarev, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 5, pp. 42–50.
Rights and permissions
About this article
Cite this article
Bushueva, K.A., Kostarev, K.G. Behavior of a ferrofluid layer with stable surface rupture subjected to a tangential magnetic field. Fluid Dyn 46, 707–714 (2011). https://doi.org/10.1134/S0015462811050048
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462811050048