Skip to main content
Log in

On a variational description of magnetohydrodynamic systems including irreversible processes

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Summary

It is shown that Prigogine's evolution criterion describing dissipative hydrodynamic processes may be extended to magnetohydrodynamics. This is achieved by defining appropriately the generalized fluxes and forces. As illustrative example, Hartmann's flow is considered.

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. I.PRIGOGINE, Introduction to Thermodynamics of Irreversible Processes, 2nd Edition, Wiley, N.Y., 1961.

    Google Scholar 

  2. P.GLANSDORFF and I.PRIGOGINE, Physica 30 (1964) 351.

    Google Scholar 

  3. I.PRIGOGINE and P.GLANSDORFF, Physica 31 (1965) 1242.

    Google Scholar 

  4. I.PRIGOGINE, Non-Equilibrium Thermodynamics Variational Techniques and Stability, Univ. of Chicago (1966) p. 35.

  5. P.GLANSDORFF, Non-Equilibrium Thermodynamics Variational Techniques and Stability, Univ. of Chicago (1966) p. 45.

  6. J.NIHOUL, Journal de Mécanique 6, no 2, (1967) 171.

    Google Scholar 

  7. C.ECKART, Phys.Rev.58 (1940) 267.

    Google Scholar 

  8. G.LEBON, Bull.Soc.Roy.Sciences Liège 36, no 3–4, (1968) 157

    Google Scholar 

  9. S.R. de GROOT and P.MAZUR, Non-Equilibrium Thermodynamics, North-Holland, 1962.

  10. L.LANDAU and E.LIFSHITZ, Electrodynamics of Continuous Media, Pergamon, 1960.

  11. J.SHERCLIFF, Textbook in Magnetohydronamics, Pergamon, 1965.

  12. J.NIHOUL, Journal de Mécanique, 2, no 3 (1963) 251.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author wishes to record his gratitude to Professor Nihoul for his interest in this research and his helpful comments on the manuscript.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lebon, G. On a variational description of magnetohydrodynamic systems including irreversible processes. J Eng Math 2, 381–388 (1968). https://doi.org/10.1007/BF01579579

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01579579

Keywords

Navigation