Abstract
A general mathematical model and a computational method is proposed for studying the influence of the particle diffusion on equilibrium shapes of a magnetic liquid. It is applied on the ferrohydrostatic problem of equilibrium shapes of a magnetic liquid in a cylindrical cavity subject to a magnetic field created by a cylindrical permanent magnet located below the cavity. Numerical simulations show that the usual assumption of a uniform concentration field does not apply in the case of high-gradient magnetic fields.
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References
Bashtovoi, V.G., Berkovski, B.M., Vislovich, A.N.: Introduction to thermomechanics of magnetic fluid. Hemisphere Publ., Washington (1988)
Bashtovoi, V.G., Polevikov, V.K., Suprun, A.E., Stroots, A.V., Beresnev, S.A.: Influence of Brownian diffusion on statics of magnetic fluid. Magnetohydrodynamics 43(1), 17–25 (2007)
Berkovski, B.M., Bashtovoi, V.G.: Magnetic Fluids and Applications Handbook. Begell House Publ., New York (1996)
Berkovski, B.M., Medvedev, V.F., Krakov, M.S.: Magnetic Fluids: Engineering and Application. Oxford University Press, Berlin (1997)
Blums, E., Cebers, A., Maiorov, M.M.: Magnetic Fluids. W. de Gryuter, Berlin (1997)
Polevikov, V.K.: Methods of numerical modeling of two-dimensional capillary surfaces. Computational Methods in Applied Mathematics 4(1), 66–93 (2004)
Polevikov, V., Tobiska, L.: On the solution of the steady-state diffusion problem for ferromagnetic particles in a magnetic fluid. Mathematical Modeling and Analysis 13(2), 233–240 (2008)
Pshenichnikov, A.F.: Magnetic field in the vicinity of a single magnet. Magnetohydrodynamics 29, 33–36 (1993)
Rosensweig, R.E.: Ferrohydrodynamics. Cambridge University Press, New York (1985)
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Beresnev, S., Polevikov, V., Tobiska, L. (2008). Numerical Study of the Influence of Diffusion of Magnetic Particles on Equilibrium Shapes of a Free Magnetic Fluid Surface. In: Bertram, A., Tomas, J. (eds) Micro-Macro-interaction. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85715-0_22
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DOI: https://doi.org/10.1007/978-3-540-85715-0_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85714-3
Online ISBN: 978-3-540-85715-0
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