Abstract
Within the framework of the Neuringer-Rosenzweig equations, the solutions describing transverse linearly polarized and longitudinal plane-polarized magnetoacoustic waves are obtained for magnetizable liquids with an arbitrary orientation of the wavevector and the magnetization vector. In the general case, the group velocity vector of magnetoacoustic waves has a component orthogonal to the wavevector. For the solutions obtained here, the velocity of sound decreases from the maximal value for a wave propagating along the magnetization vector to the minimal value corresponding to a wave propagating at right angles to the magnetization vector. Exact solutions of the equations for magnetizable liquids are obtained in the form of the Riemann waves which are transformed into the magnetoacoustic waves under investigation for small perturbations of the parameters of the liquid and magnetic field.
References
I. E. Tarapov, Prikl. Mat. Mekh. 37, 813 (1973).
J. D. Parsons, J. Phys. D: Appl. Phys. 8, 1219 (1975).
V. A. Zhelnorovich, Magn. Gidrodin., No. 1, 3 (1979).
V. M. Polunin, Acoustic Effects in Magnetic Fluids (Fizmatlit, Moscow, 2008) [in Russian].
V. M. Polunin and L. I. Roslyakova, Magn. Gidrodin., No. 4, 59 (1985).
V. A. Naletova, Lectures on Ferrohydrodynamics (Moskovsk. Gos. Univ., Moscow, 2005) [in Russian].
J. L. Neuringer and R. E. Rosensweig, Phys. Fluids 7, 1927 (1964).
I. E. Tamm, The Principles of Electricity Theory (Nauka, Moscow, 1976) [in Russian].
V. A. Zhelnorovich, Models of Continuous Media with Internal Electromagnetic and Mechanical Moments (Moskovsk. Gos. Univ., Moscow, 1980) [in Russian].
V. A. Zhelnorovich, Theory of Spinors and Their Application in Physics and Mechanics (Avgust-Print, Moscow, 2001) [in Russian].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1988; Pergamon, New York, 1987).
A. I. Akhiezer, V. G. Bar’yakhtar, and S. V. Peletminskii, Spin Waves (Nauka, Moscow, 1967; North-Holland, Amsterdam, 1968).
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Original Russian Text © V.A. Zhelnorovich, 2012, published in Zhurnal Tekhnicheskoi Fiziki, 2012, Vol. 82, No. 1, pp. 151–155.
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Zhelnorovich, V.A. Magnetoacoustic waves in magnetizable liquids. Tech. Phys. 57, 149–153 (2012). https://doi.org/10.1134/S106378421201029X
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DOI: https://doi.org/10.1134/S106378421201029X