Skip to main content

Dynamo Action, Between Numerical Experiments and Liquid Sodium Devices

  • Chapter
Dynamo and Dynamics, a Mathematical Challenge

Part of the book series: NATO Science Series ((NAII,volume 26))

Abstract

Conversion of kinetic energy into magnetic energy within a conducting fluid is but an example of various physical phenomena occuring in MHD turbulence at magnetic Reynolds numbers Rm greater than a few tens. While the first numerical evidence of this phenomenon has been obtained since almost 45 years, it was only at the end of the year 1999 that it could be experimentally verified in liquid sodium flows. There is still a great gap between such experimental approaches and the understanding of natural dynamos, which are responsible for example of solar magnetic activity or of the geomagnetic field. To get closer to the real MHD problems, new designs of experimental devices and new numerical codes are needed in order to achieve greater Rm, study the turbulent characteristics, the nonlinear saturation regime and the influence of large-scale flow configuration and boundaries.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. d’Humières, D. (1992) Generalized lattice-Boltzmann equations in“Rarefied Gas Dynamics: Theory and Simulations”, Progress in Astronautics and Aeronautics, 159, B.D Shizgal and D.P. Weaver edts, (AIAA, Washington, DC)

    Google Scholar 

  2. Fauve S., Laroche,C., and Castaing, B.,(1993) J.Phys.II, 3,p 271

    Article  Google Scholar 

  3. Gans, R.F. (1970) On the hydromagnetic precession in a cylinder, J.Fluid. Mech., 45, pp 111–130

    Article  ADS  Google Scholar 

  4. Guermond, J.L. and Quartapelle, L. (1997) Calculation of incompressible viscous flows by an unconditionally stable projection FEM, J. Comput. Phys. 132,pp 12–33

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Guermond, J.L. and Fontaine, S. (1991) A discontinuous h-p Galerkin approximation of potential flows Rech. Aérosp. 4,pp 38–49

    Google Scholar 

  6. Léorat, J., Pouquet,A. and Frisch, U. (1981) Fully developped MHD turbulence near critical magnetic Reynolds number, J.Fluid. Mech., 104, pp 419–443

    Article  ADS  MATH  Google Scholar 

  7. Malkus, W.V.R. (1968) Precession of the Earth as the cause of geomagnetism, Science, 160, pp 259–264

    Article  ADS  Google Scholar 

  8. Mordant,N.,Pinton,J.F. and Chilla, (1997) J.Phys.II, 7,p 1

    Article  Google Scholar 

  9. Pinton,J.F., and Labbe, R.,(1994) J.Phys.II, 4, pp 1461–1468

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Léorat, J., Lallemand, P., Guermond, J., Plunian, F. (2001). Dynamo Action, Between Numerical Experiments and Liquid Sodium Devices. In: Chossat, P., Ambruster, D., Oprea, I. (eds) Dynamo and Dynamics, a Mathematical Challenge. NATO Science Series, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0788-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0788-7_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7070-3

  • Online ISBN: 978-94-010-0788-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics