Skip to main content
SpringerLink
Log in

To the theory of dynamical properties of non-dilute polydisperse ferrofluids

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

A theoretical model of dynamic susceptibility and magnetoviscous effect in non-dilute polydisperse ferrofluids with magnetically interacting particles is proposed. This system is considered as homogeneous magnetic colloid of interacting particles, without any heterogenous aggregates. Analysis is based on the mathematically regular approximation of the pair interparticle interaction combined with the effective field method, which leads to very good agreement with the laboratory and computer experiments in the case of dilute ferrofluids with non-interacting particles and with computer simulations of monodisperse ensembles of magnetically interacting ferromagnetic particles.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Data availability statement

No data are associated in the manuscript.

References

  1. Ferrofluids. Magnetically Controllable Fluids and Their Applications, ed. by S. Odenbach (Springer, Berlin, 2002)

  2. L. Thrams, Biomedical applications of magnetic nanoparticles, in Colloidal Magnetic Fluids. Basics, Development and Application of Ferrofluids. ed. by S. Odenbach (Springer, Berlin, 2009)

    Google Scholar 

  3. A.O. Ivanov, A. Zubarev, Chain formation and phase separation in ferrofluids: the influence on viscous properties. Materials 13, 3956–4025 (2020)

    Article  ADS  Google Scholar 

  4. M.A. Martsenjuk, Yu.L. Raikher, M.I. Shliomis, On the kinetics of magnetization of suspensions of ferromagnetic particles. Sov. Phys. JETP 38, 413–416 (1974)

    ADS  Google Scholar 

  5. E. Blums, A. Cebers, M. Majorov, Magnetic Fluids (Walter de Gruyter, Berlin, 1997)

    Google Scholar 

  6. D.V. Berkov, L.Yu. Iskakova, A.Yu. Zubarev, Theoretical study of the magnetization dynamics of non-dilute ferrofluids. Phys. Rev. E 79, 021407–021410 (2009)

    Article  ADS  Google Scholar 

  7. A.O. Ivanov, P.J. Camp, Effects of interactions on magnetization relaxation dynamics in ferrofluids. Phys. Rev E 102, 032610–9 (2020)

    Article  ADS  Google Scholar 

  8. P.G. de Gennes, P.A. Pincus, Pair correlations in a ferromagnetic colloid. Physik der kondensierten Materie 11, 189–198 (1970)

    ADS  Google Scholar 

  9. Yu.A. Buyevich, A.O. Ivanov, Equilibrium properties of ferrocolloids. Physica A 190, 276–294 (1992)

    Article  ADS  Google Scholar 

  10. A. Perez-Madrid, J.M. Rubi, Friction, diffusion and Brownian motion in suspensions of dipolar spherical particles. Physica A 132, 438–456 (1985)

    Article  ADS  Google Scholar 

  11. V.N. Pokrovski, Statistical Hydromechanics of Dilute Suspensions (Nauka, Moscow, 1978)

    Google Scholar 

  12. R. Kristensen, Mechanics of Composite Materials (Willey, New York, 1980)

    Google Scholar 

  13. G.K. Batchelor, J.T. Green, The determination of the bulk stress in a suspension of spherical particles to order c2. J. Fluid Mech. 56, 401 (1972)

    Article  MATH  ADS  Google Scholar 

  14. Buzmakov, A.F. Pshenichnikov, Concentration dependence of the magnetic fluid viscosity. Magnetohydrodynamics 1, 14–17 (1991)

    Google Scholar 

  15. R. Rozensweig, Ferrohydrodynamics. Dover Books on Physics, Kindle Edition (2014)

Download references

Acknowledgements

This works has been carried out under financial support of the Russian Fund of Fundamental Investigation, grant; 21-52-12013 as well as the Program of the Ministry of Science and Education of Russian Federation, project FEUZ-2023-0020.

Author information

Authors and Affiliations

  1. Department of Mathematical and Theoretical Physics, Ural Federal University, Yekaterinburg, 620083, Russia

    A. Yu. Zubarev & L. Yu. Iskakova

Authors
  1. A. Yu. Zubarev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Yu. Iskakova
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

AZ—the main idea and physical model. LI—mathematical transformations and results.

Corresponding author

Correspondence to A. Yu. Zubarev.

Ethics declarations

Conflict of interest

Author declare a non-financial, scientific interest to the submitted work.

Additional information

Structural Transformations and Non-Equilibrium Phenomena in Multicomponent Disordered Systems. Guest editors: Liubov Toropova, Irina Nizovtseva.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zubarev, A.Y., Iskakova, L.Y. To the theory of dynamical properties of non-dilute polydisperse ferrofluids. Eur. Phys. J. Spec. Top. 232, 1305–1313 (2023). https://doi.org/10.1140/epjs/s11734-023-00820-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjs/s11734-023-00820-w

Search

Navigation