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

  • René J. Moreau
  • Sylvain L. Pigny
  • Sherwin A. Maslowe
Part of the NATO ASI Series book series (NSSB, volume 237)


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.


Lorentz Force Electric Current Density Amplitude Equation Magnetic Reynolds Number Neutral Curve 
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  1. [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. [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. [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. [4]
    MOREAU R. and ZIEGLER D., “Stability of Aluminum Cells. A New Approach”,Light Metals (1986), pp. 359–364.Google Scholar
  5. [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.Google Scholar
  6. [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.ADSMATHCrossRefGoogle Scholar
  7. [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.MathSciNetADSMATHGoogle Scholar
  8. [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

Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • René J. Moreau
    • 1
  • Sylvain L. Pigny
    • 1
  • Sherwin A. Maslowe
    • 2
  1. 1.Laboratoire MADYLAMENSHMGSaint Martin D’Hères CedexFrance
  2. 2.McGill UniversityMontréalCanada

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