Abstract
The subject of consideration is a film of a magnetic fluid applied on the surface of a thin magnetically soft cylinder. Quantities figuring in equations and boundary conditions describing the axisymmetric flow due to capillary and magnetic forces at capillary disintegration of the film are estimated in order of magnitude. The effect of magnetization on the capillary disintegration of the film is studied using simplified equations of ferrohydrodynamics. It is shown that magnetization shifts the range of Rayleigh capillary instability toward longer wave modes. As a result, drops arising at the final stage are larger than in the case of the nonmagnetic liquid.
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References
D. Quéré, Annu. Rev. Fluid Mech. 31, 347 (1999).
V. I. Arkhipenko, Yu. D. Barkov, V. G. Bashtovoi, et al., Dokl. Akad. Nauk BSSR 23, 341 (1979).
R. Rosensweig, Ferrohydrodynamics (Cambridge Univ. Press, Cambridge, 1985; Mir, Moscow, 1989).
B. M. Berkovskii, V. F. Medvedev, and M. S. Krakov, Magnetic Fluids (Khimiya, Moscow, 1989) [in Russian].
V. I. Arkhipenko and Yu. D. Barkov, Prikl. Mekh. Tekh. Fiz., No. 3, 98 (1980).
V. M. Korovin, Zh. Tekh. Fiz. 69(10), 14 (1999) [Tech. Phys. 44, 1141 (1999)].
J.-C. Bacri, R. Perzynski, D. Salin, et al., Europhys. Lett. 5, 547 (1988).
J.-C. Bacri, C. Frenois, R. Perzynski, et al., Rev. Phys. Appl. 23, 1017 (1988).
L. I. Sedov, A Course in Continuum Mechanics (Nauka, Moscow, 1983; Wolters-Noordhoff, Groningen, 1972), Vol. 1.
V. M. Korovin and A. A. Kubasov, J. Magn. Magn. Mater. 202, 547 (1999).
V. M. Korovin, Zh. Tekh. Fiz. 76(8), 1 (2006) [Tech. Phys. 51, 963 (2006)].
M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1971; Nauka, Moscow, 1979).
J. W. Strutt (Lord Rayleigh), The Theory of Sound, 2nd ed. (Macmillan, London, 1896; Gostekhizdat, Moscow, 1955).
S. Goren, J. Colloid Sci. 19, 81 (1964).
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Original Russian Text © V.M. Korovin, 2008, published in Zhurnal Tekhnicheskoĭ Fiziki, 2008, Vol. 78, No. 5, pp. 22–28.
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Korovin, V.M. Capillary disintegration of a ferrofluid cylindrical film magnetized to saturation by an axial magnetic field. Tech. Phys. 53, 554–561 (2008). https://doi.org/10.1134/S1063784208050046
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DOI: https://doi.org/10.1134/S1063784208050046