Skip to main content
Log in

Active solute effects on surface ripples in electron-beam welding solidification

  • Published:
Metallurgical and Materials Transactions B Aims and scope Submit manuscript

Abstract

Surface rippling on workpieces containing surface-active solutes after solidification, during electron-beam welding or melting, is experimentally and analytically investigated. Most alloys contain one or more surface-active solutes such as O, S, Se, and Te. This leads to surface-tension coefficients being positive at low temperatures. In this work, the accelerating voltage and welding currents of the electron-beam welder used are 50 kV and 10 and 15 mA, respectively, with welding speeds of 20, 30, and 40 mm/s, while the workpieces are different steels containing sulfur of 0.0035, 0.008, and 0.014 wt pct and oxygen of 0.002 wt pct. The average amplitudes of ripples are measured for different beam powers, welding speeds, and sulfur contents. Extending a previous work studying rippling on alloys having negative surface-tension coefficients, the present work predicts average amplitudes of ripples by accounting for heat transfer and fluid flow induced by a positive temperature-dependent surface-tension gradient in the molten pool near the solidification front. It is found for the first time that dimensionless average amplitudes are increased by increasing the product of the Prandtl and Marangoni numbers, the product of the adsorption coefficient and the active solute content, and the elasticity number. The predicted results show good agreement with experimental data.

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. Welding Handbook, vol. 2, Welding Processes, 8th ed., R.L. O’Brien, ed., American Welding Society, Miami, FL, 1991, p. 64.

    Google Scholar 

  2. T.R. Anthony and H.E. Cline: J. Appl. Phys., 1977, vol. 48, pp. 3888–94.

    Article  ADS  CAS  Google Scholar 

  3. K.C. Mills and B.J. Keene: Int. Mater. Rev., 1990, vol. 35, pp. 185–216.

    CAS  Google Scholar 

  4. A.T. D’annessa: Welding J., 1970, vol. 49, pp. 41-s–45-s.

    Google Scholar 

  5. J.G. Garland and G.J. Davies: Met. Constr. Br. Welding J., 1970, vol. 2, pp. 171–75.

    Google Scholar 

  6. Y. Arata, F. Matsuda, and T. Murakami: Trans. Jpn. Welding Res. Inst., 1973, vol. 2, pp. 23–32 (pp. 152–61).

    Google Scholar 

  7. S. Ostrach: Ann. Rev. Fluid Mech., 1982, vol. 14, pp. 313–45.

    Article  ADS  Google Scholar 

  8. A.K. Sen and S.H. Davis: J. Fluid Mech., 1982, vol. 121, pp. 163–86.

    Article  MATH  ADS  CAS  Google Scholar 

  9. G.M. Oreper, T.W. Eagar, and J. Szekely: Welding J., 1983, vol. 62, pp. 307-s–12-s.

    Google Scholar 

  10. A. Zebib, G.M. Homsy, and E. Meiburg: Phys. Fluids, 1985, vol. 28, pp. 3467–76.

    Article  MATH  ADS  CAS  MathSciNet  Google Scholar 

  11. S. Kou and Y.H. Wang: Welding J., 1986, vol. 65, pp. 63-s–70-s.

    Google Scholar 

  12. M.M. Chen: in Interdisciplinary Issues in Materials Processing and Manufacturing, S.K. Samanta, R. Komanduri, R. McMeeking, M.M. Chen, and A. Tseng, eds., ASME, New York, NY, 1987, pp. 541–58.

    Google Scholar 

  13. T. Zacharia, S.A. David, J.M. Vitek, and T. DebRoy: Welding J., 1989, vol. 68, pp. 499-s–509-s.

    Google Scholar 

  14. J.R. Keller and T.L. Bergman: J. Heat Transfer, 1990, vol. 112, pp. 363–69.

    Article  CAS  Google Scholar 

  15. M. Kanouff and R. Greif: Int. J. Heat Mass Transfer, 1994, vol. 37, pp. 885–92.

    Article  MATH  CAS  Google Scholar 

  16. P.S. Wei, C.Y. Chang, and C.T. Chen: J. Heat Transfer, 1996, vol. 118, pp. 960–69.

    CAS  Google Scholar 

  17. C.R. Heiple and J.R. Roper: Welding J., 1982, vol. 61, pp. 97-s–102-s.

    Google Scholar 

  18. R.E. Sundell, H.D. Solomon, L.P. Harris, L.A., Wojcik, W.F. Savage, and D.W. Walsh: Interim Report, Oct. 1 1982–Sept. 30, 1983, Contract No. MEA- 8208950, Report No. SRD-83-066, General Electric Co. Corp., Research and Development, Schenactady, NY.

  19. T. Okada, S. Yokoya, and K. Ishizaki: IIW Document 212-708-88, 1988.

  20. W.S. Bennett and G.S. Mills: Welding J., 1974, vol. 53, p. 548-s.

  21. V.G. Levich: Physicochemical Hydrodynamics Prentice-Hall, Englewood Cliffs, NJ, 1962, translated by Scripta Technica, Inc.

    Google Scholar 

  22. A. Bejan: Convection Heat Transfer, Wiley, New York, NY, 1984, ch. 2.

    MATH  Google Scholar 

  23. H. Tong and W.H. Giedt: Rev. Sci. Instrum., 1969, vol. 40, pp. 1283–85.

    Article  Google Scholar 

  24. P.S. Wei and L.R. Chiou: J. Heat Transfer, 1988, vol. 110, pp. 918–23.

    Article  Google Scholar 

  25. P.S. Wei and Y.T. Chow: Metall. Trans. B, 1992, vol. 23B, pp. 81–90.

    CAS  Google Scholar 

  26. Y. Lei, Y. Shi, H. Murakawa, and Y. Ueda: Trans. JWRI, 1997, vol. 26, pp. 8–15.

    Google Scholar 

  27. P.S. Wei and F.K. Chung: Metall. Mater. Trans. B, 2000, vol. 31B, pp. 1387–1403.

    Article  CAS  Google Scholar 

  28. I. Langmuir: J. Am. Chem. Soc., 1918, vol. 40, pp. 1361–1403.

    Article  CAS  Google Scholar 

  29. P. Sahoo, T. DebRoy, and M.J. McNallan: Metall. Trans. B, 1988, vol. 19B, pp. 483–91.

    CAS  Google Scholar 

  30. C.H.P. Lupis: Chemical Thermodynamics of Materials, Elsevier Science Publ., New York, NY, 1983, ch. XIV.

    Google Scholar 

  31. B. von Szyszkowski: Z. Phys. Chemie, 1908, vol. 64, pp. 385–414.

    Google Scholar 

  32. G.R. Belton: Metall. Trans. B, 1976, vol. 7B, pp. 35–42.

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wei, P.S., Chen, Y.H., Ku, J.S. et al. Active solute effects on surface ripples in electron-beam welding solidification. Metall Mater Trans B 34, 421–432 (2003). https://doi.org/10.1007/s11663-003-0068-z

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11663-003-0068-z

Keywords

Navigation