Skip to main content
Log in

An analytical model for the interaction between an insoluble particle and an advancing solid/liquid interface

  • Published:
Metallurgical Transactions A Aims and scope Submit manuscript

Abstract

In this article, the behavior of particles in front of an advancing solidJliquid interface was analyzed. In the analytical model presented, the critical velocity for the transition from particle pushing to engulfment by the interface was calculated as a function of relevant material parameters and processing variables. In particular, the effect of the difference in the thermal properties of the particle and the matrix on the particle/interface interaction was examined. It was demonstrated that the presence of particles could destabilize the interface which, in turn, affected the behavior of particles at the interface. Based on the analysis, a particle behavior map was constructed to illustrate the complex particle behaviors in different material systems under various growth conditions. Theoretical predictions were compared against experimental results obtained in transparent organic materials as well as in metallic systems. The relevance of these observations to the melt processing of particulate-reinforced metal matrix composites (MMCs) was discussed.

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. D.M. Stefanescu, B.K. Dhindaw, S.A. Kacar, and A. Moitra:Metall. Trans. A, 1988, vol. 19A, pp. 2847–55.

    CAS  Google Scholar 

  2. B.K. Dhindaw, D.M. Stefanescu, A.K. Singh, and P.A. Curreri:Metall. Trans. A, 1988, vol. 19A, pp. 2839–46.

    CAS  Google Scholar 

  3. N.L. Frier, Y. Shiohara, and K.C. Russell: inMaterials Research Society International Meeting on Advanced Materials, MRS, 1989, vol. 4, pp. 47–52.

    Google Scholar 

  4. M.C. Flemings:Solidification Processing, McGraw-Hill, New York, NY, 1974.

    Google Scholar 

  5. M.C. Flemings:Solidification Processing, McGraw-Hill, New York, NY, 1974.

    Google Scholar 

  6. A.E. Corte:J. Geophys. Res., 1962, vol. 67 (3), pp. 1085–90.

    Article  Google Scholar 

  7. V.L. Brostein, Y.A. Itkin, and G.S. Ishkov:J. Cryst. Growth, 1981, vol. 52, pp. 345–49.

    Article  Google Scholar 

  8. D. Shangguan and D.M. Stefanescu: inProc. XXIIICHMT Int. Symp. on Manufacturing and Materials Processing, Dubrovnik, Yugoslavia, Aug. 1990, in press.

  9. D.M. Stefanescu, A. Moitra, A.S. Kacar, and B.K. Dhindaw:Metall. Trans. A, 1990, vol. 21A, pp. 231–39.

    CAS  Google Scholar 

  10. B.K. Dhindaw, A. Moitra, D.M. Stefanescu, and P. Curreri:Metall. Trans. A, 1988, vol. 19A, pp. 1899–1904.

    CAS  Google Scholar 

  11. D.M. Stefanescu and F. Rana: inMicrostructural Development and Control in Materials Processing, D.R. Durham and A. Saigal, eds., ASME, Fairfield, NJ, 1989, pp. 95–102.

    Google Scholar 

  12. D. Shangguan and D.M. Stefanescu:Metall. Trans. B, 1991, vol. 22B, pp. 385–88.

    Article  CAS  Google Scholar 

  13. D.R. Uhlmann, B. Chalmers, and K.A. Jackson:J. Appl. Phys., 1964, vol. 35 (10), pp. 2986–93.

    Article  CAS  Google Scholar 

  14. O.P. Fedorov:J. Cryst. Growth, 1990, vol. 102, pp. 857–61.

    Article  CAS  Google Scholar 

  15. S.N. Omenyi and A.W. Neumann:J. Appl. Phys., 1976, vol. 47 (9), pp. 3956–62.

    Article  CAS  Google Scholar 

  16. A.M. Zubko, V.G. Lobanov, and V.V. Nikonova:Sov. Phys. Crystallogr., 1973, vol. 18 (2), pp. 239–41.

    Google Scholar 

  17. J. Cisse and G.F. Boiling:J. Cryst. Growth, 1971, vol. 11, pp. 25–28.

    Article  CAS  Google Scholar 

  18. R.R. Gilpin:J. Colloid Interface Sci., 1980, vol. 74 (1), pp. 44–63.

    Article  CAS  Google Scholar 

  19. Ch. Korber, G. Rau, M.D. Cosman, and E.G. Cravalho:J. Cryst. Growth, 1985, vol. 72, pp. 649–62.

    Article  CAS  Google Scholar 

  20. G.F. Boiling and J.A. Cisse:J. Cryst. Growth, 1971, vol. 10, pp. 56–66.

    Article  Google Scholar 

  21. J. Potschke and V. Rogge:J. Cryst. Growth, 1989, vol. 94, pp. 726–38.

    Article  Google Scholar 

  22. R. Sasikumar, T.R. Ramamohan, and B.C. Pai:Acta Metall., 1989, vol. 37 (7), pp. 2085–91.

    Article  Google Scholar 

  23. A.A. Chernov, D.E. Temkin, and A.M. Mel’nikova:Sov. Phys. Crystallogr., 1976, vol. 21 (4), pp. 369–73.

    Google Scholar 

  24. R.B. Bird, W.E. Stewart, and E.N. Lightfoot:Transport Phenomena, John Wiley & Sons, New York, NY, 1960.

    Google Scholar 

  25. Handbook of Chemistry and Physics, 67th ed., CRC Press, Boca Raton, FL, 1986.

  26. I. Jin and D.J. Lloyd: inProc. Int. Conf., Montreal, PQ, Canada, September 17–29, 1990, J. Masounave and F.G. Hamel, eds., ASM INTERNATIONAL, Metals Park, OH, 1990.

    Google Scholar 

  27. D.J. Lloyd:Compos. Sci. Technol., 1989, vol. 35, pp. 159–79.

    Article  CAS  Google Scholar 

  28. S. Ahuja, D. Shangguan, and D.M. Stefanescu: inAdvanced Metal Matrix Composites for Elevated Temperatures, ASM Conference Proceedings, Cincinnati, OH, October 20–24, 1991, pp. 205–12.

  29. D.J. Jeffrey and A. Acrivos:J. Amer. Inst. Chem. Eng., 1976, vol. 22 (3), pp. 417–32.

    CAS  Google Scholar 

  30. J.F. Richardson and W.N. Zaki:Chem. Eng. Sci., 1954, vol. 3, pp. 65–73.

    Article  CAS  Google Scholar 

  31. X. Guo, D. Shangguan, and D.M. Stefanescu: The University of Alabama, Tuscaloosa, AL, unpublished research, 1991.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Formerly Assistant Research Engineer, The University of Alabama, is now Manufacturing Engineer

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shangguan, D., Ahuja, S. & Stefanescu, D.M. An analytical model for the interaction between an insoluble particle and an advancing solid/liquid interface. Metall Trans A 23, 669–680 (1992). https://doi.org/10.1007/BF02801184

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02801184

Keywords

Navigation