Skip to main content
Log in

Modeling the effect of magnetic field on wave propagation in ferrofluids and elastic bodies with void fraction

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. C. Cowin, “Thermodynamic model for porous materials with vacuous pores,” J. Appl. Physics, 43, No. 6, 2495–2497 (1972).

    Article  Google Scholar 

  2. S. C. Cowin and J. W. Nunziato, “Linear elastic materials with voids,” J. Elasticity, 13, 125–147 (1983).

    Article  MATH  Google Scholar 

  3. I. T. Selezov, “Wave processes in fluids and elastic media,” Int. J. Fluid Mechanics Research, 30, No. 2, 219–249 (2003).

    Article  MathSciNet  Google Scholar 

  4. D. S. Chandrasekharalah, “Complete solutions in the theory of elastic materials with voids,” Quart. J. Mech. and Appl. Math., 40, Pt. 3, 401–414 (1987).

    Article  MathSciNet  Google Scholar 

  5. A. Scalia, “Shock waves in viscoelastic materials with voids,” Wave Motion, 19, 125–133 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  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.

  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).

  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).

  13. J. L. Neuringer and R. E. Rosensweig, “Ferrohydrodynamics,” Phys. Fluids., 7, No. 12, 1927–1937 (1964).

    Article  MathSciNet  Google Scholar 

  14. R. E. Rosensweig, Ferrohydrodynamics, Cambridge Univ. Press (1985).

  15. B. Berkovsky, V. Medvedev, and M. Krakov, Magnetic Fluids: Engineering Applications, Oxford Univ. Press (1993).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. T. Selezov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2013, pp. 97–106.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Selezov, I.T., Krivonos, Y.G. Modeling the effect of magnetic field on wave propagation in ferrofluids and elastic bodies with void fraction. Cybern Syst Anal 49, 569–577 (2013). https://doi.org/10.1007/s10559-013-9542-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-013-9542-z

Keywords

Navigation