Skip to main content

Interfacial Instabilities and Waves in the Presence of a Transverse Electric Current

  • Chapter
New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

Part of the book series: NATO ASI Series ((NSSB,volume 237))

  • 178 Accesses

Abstract

In metals processing there are a number of situations where an electric current passes through a fluid interface (slag or electrolyte above and molten metal below, for instance). An experiment using mercury and salt water has shown that instabilities and waves may develop on such interfaces. Neutral curves deduced from linear analysis, which may have one, two, or three minima, show that different modes may become unstable. A first attempt to study the non-linear behaviour of these instabilities, based on multiple scales technique, is also presented.

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

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. SZEKELY J., “On Heat and Fluid Flow Phenomena, in Electric Melting and Smelting Operations”, in “Metallurgical Appl. of M.H.D”. eds Moffatt. H.K. and Proctor M.R.E, (1982), The Metals Soc. of London, pp.260–271.

    Google Scholar 

  2. MOREAU R., “Applications iulétallurgignes de la Magnétohydrodynamique”, in “Theoretical and Applied Mechanics”, Proc. of the pith. IUTAM Congress, Toronto, 17–23 August 1980, eds: Rinirott F.Y.J. and Tabarrok 13.. North-Holland Pub. (1980), pp. 107–118.

    Google Scholar 

  3. SNEYD A.D., “Stability of Fluid Layers Carrying a Normal Electric Current”,.J.Fluid Mech. (1985), vol 156, pp. 223–236.

    Google Scholar 

  4. MOREAU R. and ZIEGLER D., “Stability of Aluminum Cells. A New Approach”,Light Metals (1986), pp. 359–364.

    Google Scholar 

  5. MOREAU R. and EVANS J.W., “An Analysis of the Hydrodynamics of Aluminum Re-duction Cells”,J.Electrochem.Soc, Electrochemical Science a.nd Technology (1984), vol. 131, n° 10, pp. 2251–2259.

    Article  Google Scholar 

  6. NAYFEH A.H. and SARIC W.S., “Non-Linear Waves in a Kelvin-Helmholtz Flow” J.Fluid Mech. (1972), vol 55, pp. 311–328.

    Article  Google Scholar 

  7. BENNEY D.J. and MASLOWE S.A, “The Evolution in Space and Time of Non- Linear Waves in Parallel Shear Flows”, Studies in Appl. iIlath. (1975), vol. 54, pp. 181–205.

    Article  Google Scholar 

  8. MASLOWE S.A.,”Shear Flow Instability and Transition”, in “Hydrodynamic Instability and the Transition to Turbulence”, eds. Swinneg ILL. and Gollub J.P. (1982), Springer, pp. 181–228.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Plenum Press, New York

About this chapter

Cite this chapter

Moreau, R.J., Pigny, S.L., Maslowe, S.A. (1990). Interfacial Instabilities and Waves in the Presence of a Transverse Electric Current. In: Coullet, P., Huerre, P. (eds) New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena. NATO ASI Series, vol 237. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-7479-4_17

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-7479-4_17

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-7481-7

  • Online ISBN: 978-1-4684-7479-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics