Modeling the effect of magnetic field on wave propagation in ferrofluids and elastic bodies with void fraction
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The paper presents two new generalized wave models. One considers the effect of magnetic field on the elastic solid with void fraction. The other is a new generalized ferrohydrodynamic model describing wave propagation with finite velocities. The existence of wave solutions is investigated.
Keywordsmagnetic field elastic body void fraction ferrofluid wave propagation finite velocity
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- 6.J. C. Maxwell, “On the dynamical theory of gases,” Phil. Trans. Roy. Soc., 157, 49–89 (1967).Google Scholar
- 7.I. T. Selezov, “On wave hyperbolic model for disturbance propagation in magnetic fluid,” 191, Ser. Operator Theory. Advances and Applications, Birkhauser Verlag, Basel (2009), pp. 221–225.Google Scholar
- 8.G. Colosqui, H. Chen, X. Shan, and I. Staroselsky, “Propagating high-frequency shear waves in simple fluids,” Physics of Fluids, 21, 013105-1–013105-8 (2009).Google Scholar
- 9.J. D. Jackson, Classical Electrodynamics, John Wiley & Sons, Inc., New York–London (1962).Google Scholar
- 10.I. T. Selezov and Yu. G. Krivonos, Mathematical Methods in Problems of Wave Propagation and Diffraction [in Russian], Naukova Dumka, Kyiv (2012).Google Scholar
- 11.I. T. Selezov, Yu. G. Krivonos, and V. V. Yakovlev, Wave Scattering by Local Inhomogeneities in Continuous Media [in Russian], Naukova Dumka, Kyiv (1985).Google Scholar
- 12.Yu. I. Samoilenko, “Problems and methods of physical cybernetics,” in: Pratsi Inst. Matematiki NANU, 56 (2006).Google Scholar
- 14.R. E. Rosensweig, Ferrohydrodynamics, Cambridge Univ. Press (1985).Google Scholar
- 15.B. Berkovsky, V. Medvedev, and M. Krakov, Magnetic Fluids: Engineering Applications, Oxford Univ. Press (1993).Google Scholar