Skip to main content
Log in

Diffusion Mass and Heat Transfer in a Plane Axisymmetric Layer of a Magnetic Fluid

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Processes of magnetophoresis and Brownian diffusion in a suspension of magnetic nanoparticles (magnetic fluid) in an inhomogeneous magnetic field have been considered on condition that these processes are limited by concentration phase transitions between thermodynamic states of an ensemble of particles. Regularities of these processes have been established with the example of a plane axisymmetric fluid layer. It has been shown that due to the dependence of the effective thermal conductivity of the suspension on the concentration of particles, these processes may exert a substantial influence on the heat transfer through it.

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. R. E. Rosensweig, Ferrohydrodynamics, Cambridge University Press, New York (1985).

    Google Scholar 

  2. E. Blums, A. Cebers, and M. M. Maiorov, Magnetic Fluids, Walter de Gruyter, Berlin (1997).

    Google Scholar 

  3. V. G. Bashtovoi, B. M. Berkovski, and A. N. Vislovich, Introduction to Thermomechanics of Magnetic Fluids, Hemisphere Publ. Corp., New York (1988).

    Google Scholar 

  4. X. Q. Wang and A. S. Mujumbar, Heat transfer characteristics of nanofl uids: A review, Int. J. Therm. Sci., 46, 1−19 (2007).

    Article  Google Scholar 

  5. S. Taketomi, Motion of ferrite particles under a high gradient magnetic field in a magnetic fluid seal, Jpn. J. Appl. Phys., 19, No. 10, 1929−1936 (1980).

    Article  Google Scholar 

  6. I. Anton, L. Vekash, I. Potents, and D. Bika, Behavior of magnetic liquids in an inhomogeneous magnetic field, Magnetohydrodynamics, 21, No. 3, 213−217 (1985).

    Google Scholar 

  7. V. G. Bashtovoi, V. K. Polevikov, and A. M. Algadal, The effect of diffusion processes on the statics of magnetic fluids, Proc. National Academy of Sciences of Belarus, No. 3, 42–48 (2006) (in Russian).

    Google Scholar 

  8. V. G. Bashtovoi, V. K. Polevikov, A. E. Suprun, A. V. Stroots, and S. A. Beresnev, Influence of Brownian diffusion on statics of magnetic fluid, Magnetohydrodynamics, 43, No. 1, 3−11 (2007).

    Google Scholar 

  9. V. G. Bashtovoi, V. K. Polevikov, A. E. Suprun, A. V. Stroots, and S. A. Beresnev, The effect of magnetophoresis and Brownian diffusion on the levitation of bodies in a magnetic fl uid, Magnetohydrodynamics, 44, No. 2, 121−126 (2008).

    Google Scholar 

  10. V. G. Bashtovoi, S. G. Pogirnitskaya, P. Kuzhir, V. M. Polunin, P. A. Ryapolov, I. A. Shabanova, and A. M. Storojenko, Influence of mass transfer processes on Couette flow of magnetic fl uid, J. Nano-Electron. Phys., 5, No. 4, 04011 (2013).

  11. V. G. Bashtovoi, P. P. Kuzhir, A. Yu. Zubarev, and V. S. Moroz, Diffusion and magnetophoresis in nanodispersed magnetic fluids with phase transition, Proc. National Academy of Sciences of Belarus, Phys.-Tech. Ser., No. 2, 78−87 (2017) (in Russian).

  12. V. G. Bashtovoi, P. P. Kuzhir, A. Yu. Zubarev, and V. S. Moroz, On the mechanics of magnetic fluids with field-induced phase transition: Application to Couette flow, Magnetohydrodynamics, 54, No. 3, 181−197 (2018).

    Google Scholar 

  13. S. P. Fisenko and Yu. A. Khodyko, Brownian diffusion inside a micron-sized droplet and the morphology of ensembles of nanoparticles, J. Eng. Phys. Thermophys., 86, No. 2, 349−355 (2013).

    Article  Google Scholar 

  14. D. A. Takopulo and S. P. Fisenko, Brownian diffusion and transfer of nanoparticle beam by a gas fl ow, J. Eng. Phys. Thermophys., 86, No. 5, 1041−1045 (2013).

    Article  Google Scholar 

  15. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions, Cambridge University Press, Cambridge (1989).

    Book  Google Scholar 

  16. A. Y. Zubarev and L. Y. Iskakova, Theory of structural transformations in ferrofluids: Chains and gas–liquid phase transitions, Phys. Rev. E, 65, No. 6, 061406 (2002).

  17. A. Y. Zubarev and L. Y. Iskakova, Phase transitions in electro- and magnetorheological fluids, Colloid J., 65, No. 2, 159−165 (2003).

    Article  Google Scholar 

  18. L. Y. Iskakova, A. Y. Zubarev, and A. P. Romanchuk, On the theory of phase transitions in magnetorheological suspensions, Colloid J., 67, No. 5, 564−572 (2005).

    Article  Google Scholar 

  19. A. F. Pshenichnikov and A. S. Ivanov, Magnetophoresis of particles and aggregates in concentrated magnetic fluids, Phys. Rev. E, 86, No. 5, 051401 (2012).

  20. A. F. Pshenichnikov, E. A. Elfimova, and A. S. Ivanov, Magnetophoresis, sedimentation, and diffusion of particles in concentrated magnetic fluids, J. Chem. Phys., 134, No. 18, 184508 (2011).

  21. A. F. Pshenichnikov and A. A. Kuznetsov, Sedimentation of particles in concentrated magnetic fl uids: Numerical simulation, Magnetohydrodynamics, 51, No. 3, 551−560 (2015).

    Google Scholar 

  22. C. Magnet, P. Kuzhir, G. Bossis, A. Meunier, L. Suloeva, and A. Zubarev, Haloing in bimodal magnetic colloids: The role of field-induced phase separation, Phys. Rev. E, 86, No. 1, 011404 (2012).

  23. C. Magnet, P. Kuzhir, G. Bossis, A. Meunier, S. Nave, A. C. Zubarev, C. Lomenech, and V. Bashtovoi, Behavior of nanoparticle clouds around a magnetized microsphere under magnetic and flow fields, Phys. Rev. E, 89, No. 6, 032310 (2014).

  24. J. C. Maxwell, A Treatise on Electricity and Magnetism, 2nd edn., Clarendon Press, Oxford (1881).

    MATH  Google Scholar 

  25. N. B. Dortman (Ed.), Physical Properties of Rocks and Minerals Resources (Petrophysics): A Reference Book for Geophysicists [in Russian], 2nd revised and enlarged edn., Nauka, Moscow (1984).

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to V. G. Bashtovoi or P. P. Kuzhir.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 3, pp. 529–538, May–June, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bashtovoi, V.G., Reks, A.G., Kuzhir, P.P. et al. Diffusion Mass and Heat Transfer in a Plane Axisymmetric Layer of a Magnetic Fluid. J Eng Phys Thermophy 93, 509–518 (2020). https://doi.org/10.1007/s10891-020-02147-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-020-02147-y

Keywords

Navigation