Skip to main content
Log in

Experimental measurement and numerical computation of velocity and turbulence parameters in a heated liquid metal system

  • Published:
Metallurgical Transactions B Aims and scope Submit manuscript

Abstract

Experimental measurements are reported describing the velocity field and the turbulence parameters in molten Woods metal due to the passage of a DC current between two electrodes immersed into the melt. The measurements were made using a hot film anemometer. A mathematical model has been developed to represent these measurements; in essence, this relied on the solution of Maxwell’s equations to represent the electromagnetic force field and turbulent Navier-Stokes equations to represent the fluid flow field. Three different turbulence models were examined; two were variants of thek-ε model, while the third was mixing length model type. In general, the velocities were well predicted by all three of these models, but there were significant discrepancies as far as the turbulence parameters were concerned. In the paper, a new criterion was suggested to predict the onset of turbulence in systems of this type.

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. J. Szekely and C.W. Chang:Ironmaking and Steelmaking, 1977, vol. 4(3), pp. 190–95.

    Google Scholar 

  2. J. Szekely and C. W. Chang:Ironmaking and Steelmaking, 1977, vol. 4(3), pp. 196–204.

    CAS  Google Scholar 

  3. N. El-Kaddah and J. Szekely:J. Fluid Mech., 1983, vol. 133, p. 37.

    Article  ADS  Google Scholar 

  4. N. El-Kaddah, J. Szekely, E. Taberlet, and Y. Fautrelle:Metall. Trans. B, 1986, vol. 17B, pp. 687–93.

    Article  ADS  CAS  Google Scholar 

  5. J.-L. Meyer, N. El-Kaddah, J. Szekely, C. Vivès, and R. Ricou:Metall. Trans. B, 1987, vol. 18B, pp. 529–38.

    Article  ADS  CAS  Google Scholar 

  6. A. Murthy: Sc.D. Thesis, MIT, Cambridge, MA, 1984.

  7. A. Murthy and J. Szekely:Metall. Trans. B, 1983, vol. 14B, pp. 499–502.

    Article  ADS  CAS  Google Scholar 

  8. D.G. Malcolm:J. Fluid Mech., 1969, vol. 37(4), pp. 701–13.

    Article  ADS  CAS  Google Scholar 

  9. J.C. Hurt and J.R. Welty: ASME, 1972, 721-HT-3.

  10. M. Sajben: Sc.D. Thesis, MIT, Cambridge, MA, 1964.

  11. J.C. Hill: Ph.D. Thesis, University of Washington, 1968.

  12. P. Lykoudis and P. Dunn:Int. J. Heat and Mass Trans., 1973, vol. 16, pp. 1439–52.

    Article  CAS  Google Scholar 

  13. A. H. Dilawari and J. Szekely:Metall. Trans. B, 1978, vol. 9B, p. 77.

    ADS  CAS  Google Scholar 

  14. M.K. Choudhary and J. Szekely:Metall. Trans. B, 1980, vol. 11B, p. 439.

    Article  ADS  Google Scholar 

  15. M.K. Choudhary and J. Szekely:Ironmaking and Steelmaking, 1981, vol. 8(5), pp. 225–32.

    Google Scholar 

  16. M.K. Choudhary: Sc.D. Thesis, MIT, Cambridge, MA, 1981.

    Google Scholar 

  17. A. Alemany, R. Moreau, P. L. Sulem, and U. Frisch:J. deMecanique, 1979, vol. 18(2).

  18. W. Rodi: “Turbulence Models and Their Application in Hydraulics: A State of the Art Review,” I. A. H. R. Section on Fundamentals of Division II, 1980.

  19. S. Corrsin: A.I.Ch.E.J., 1957, vol. 3(3), p. 329.

    CAS  Google Scholar 

  20. J. Laufer: N.A.C.A. REP. 1174, 1954.

  21. Turbulence in Mixing Operations, P. S. Brodkey, ed., Academic Press, New York, NY, 1975, ch. 2, p. 49.

  22. A. Murthy and J. Szekely:Metall. Trans. B, 1986, vol. 17B, p. 487.

    Article  ADS  Google Scholar 

  23. J.O. Hinze:Turbulence, 2nd ed., McGraw-Hill, New York, NY, 1975.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Murthy, A., Szekely, J. & El-Kaddah, N. Experimental measurement and numerical computation of velocity and turbulence parameters in a heated liquid metal system. Metall Trans B 19, 765–775 (1988). https://doi.org/10.1007/BF02650196

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02650196

Keywords

Navigation