Skip to main content
SpringerLink
Log in

Influence of Joule Dissipation on Heat Exchange and Magnetic Hydrodynamics of Liquid in a Spherical Layer. Part I

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

Results of numerical simulation of the convective heat exchange in the electrically conducting liquid flowing between two concentric isothermal spheres are presented. The influence of Joule heating of this liquid and the thickness of the spherical liquid layer on the structure of the liquid flow, the temperature and magnetic-induction fields, and the distribution of Nusselt numbers in it was investigated. Equations for simulation of the heat exchange in the spherical liquid layer in the case where the gravitational acceleration is directed to its center were derived.

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

Similar content being viewed by others

References

  1. B. M. Yanovskii, Terrestrial Magnetism [in Russian], Izd. Leningrad Univ., Leningrad (1978).

  2. V. N. Zharkov, Internal Structure of the Earth and Planets [in Russian], Nauka, Moscow (1983).

  3. O. G. Martynenko and Yu. A. Sokovishin, Free-Convection Heat Exchange, Ref. Book [in Russian], Nauka i Tekhnika, Minsk (1982).

  4. V. K. Bulganov and S. V. Solov’ev, Models of Heat Convection in the Mantle and Core of the Earth [in Russian], Nauka, Moscow (2001).

  5. S. V. Solov’ev, Simulation of heat exchange in the liquid core of the Earth, J. Eng. Phys. Thermophys., 88, No. 4, 918–927 (2015).

    Article  Google Scholar 

  6. A. D. Gosman, V. M. Pan, A. K. Ranchel, D. B. Spalding, and M. Wolfstein, Numerical Methods of Analyzing the Flow of Viscous Fluid [Russian translation], Mir, Moscow (1972).

  7. S. V. Solov’ev, Simulation of convective heat exchange in the electrically conducting liquid in a spherical cavity. Algorithm of solution, J. Eng. Phys. Thermophys., 88, No. 6, 1416–1431 (2015).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Pacific State University, 136 Tikhookeanskaya Str., Khabarovsk, 680035, Russia

    S. V. Solov’ev

  2. Khabarovsk State University of Economics and Law, 134 Tikhookeanskaya Str., Khabarovsk, 680035, Russia

    S. V. Solov’ev

  3. Sholom Aleichem Priamurskii State University, 70a Shirokaya Str., Birobidzhan, Jewish Autonomous Region, 679015, Russia

    S. V. Solov’ev

Authors
  1. S. V. Solov’ev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. V. Solov’ev.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 90, No. 5, pp. 1316–1330, September–October, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Solov’ev, S.V. Influence of Joule Dissipation on Heat Exchange and Magnetic Hydrodynamics of Liquid in a Spherical Layer. Part I. J Eng Phys Thermophy 90, 1251–1265 (2017). https://doi.org/10.1007/s10891-017-1681-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-017-1681-z

Keywords

Search

Navigation