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A mathematical model of the splat cooling process using the twin-roll technique

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Abstract

A mathematical model has been developed to represent the heat transfer, the flow of the solid and molten phases and the pressure distribution in the solid phase for the twin roll rapid quenching of pure metallic materials. The following main conclusions may be drawn from these calculations, which were carried out using the property values of aluminum. If roll spacing, feed rate and angular velocity of the rolls are considered to be main variables, then for a given material there exists only a narrow range of these parameters that affords stable operation.

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References

  1. T. R. Anantharaman and C. Suryanarayana:J. Mater. Sci., 1971, vol. 6, pp. 1111–35.

    Article  Google Scholar 

  2. H. Jones:Rep. Prog. Phys., 1973, vol. 36, pp. 1425–97.

    Article  CAS  Google Scholar 

  3. H. Jones:Rapidly Quenched Metals, N. J. Grant and B. C. Giessen, eds., p. 1, MIT Press, Cambridge, MA 1976.

    Google Scholar 

  4. H. Jones:Rapid Solidification Processing;Principles and Technologies, R. Mehrabian, B. K. Kear, and M. Cohen, eds., p. 28, Claitor’s Pub. Div., Baton Rouge, LA, 1978.

    Google Scholar 

  5. H. A. Davies:Rapidly Quenched Metals III, vol. 1, B. Cantor, ed., p. A.1, The Metals Society, London, 1978.

    Google Scholar 

  6. K. Miyazawa and J. Szekely:Met. Trans. B, 1979, vol. 10B, pp. 349–58.

    Google Scholar 

  7. H. S. Chen and C. E. Miller:Rev. Sci. Instrum., 1970, vol. 41, pp. 1237–38.

    Article  CAS  Google Scholar 

  8. E. Babic, E. Girt, R. Krsnik, and B. Leontic:J. Phys E, Sci. Instrum., 1970, vol. 3, pp. 1014–15.

    Article  CAS  Google Scholar 

  9. H. J. Leamy, H. S. Chen, and T. T. Wang:Met. Trans., 1972, vol. 3, pp. 699–708.

    CAS  Google Scholar 

  10. H. S. Chen and D. E. Polk:J. Non-Cryst. Solids, 1974, vol. 15, pp. 174–78.

    Article  CAS  Google Scholar 

  11. T. Suzuki and A. M. Anthony:Mater. Res. Bull., 1974, vol. 9, pp. 745–54.

    Article  CAS  Google Scholar 

  12. H. J. Leamy, S. D. Ferris, G. Norman, D. C. Joy, R. C. Sherwood, E. M. Gyorgy, and H. S. Chen:Appl. Phys. Lett., 1975, vol. 26, pp. 259–60;Rapidly Quenched Metals, N. J. Grant and B. C. Giessen, eds., pp. 511-18, MIT Press, Cambridge, MA, 1976.

    Article  CAS  Google Scholar 

  13. H. A. Davies, B. G. Lewis, and I. W. Donald:Rapid Solidification Processing;Principles and Technologies, H. Mehrabians,et al, eds., pp. 78–83, Claitor’s Pub. Div., Baton Rouge, LA, 1978.

    Google Scholar 

  14. A. M. Glass and K. Nassau:ibid., pp. 149–53, 1978.

    Google Scholar 

  15. E. K. Gatcombe:Trans. ASME, 1945, vol. 67, pp. 177–88.

    Google Scholar 

  16. R. A. Burton:Trans. ASLE, 1960, vol. 3, pp. 1–10.

    CAS  Google Scholar 

  17. D. Mitchell:J. Mech. Eng. Sci., 1970, vol. 12, pp. 235–37.

    Google Scholar 

  18. A. Harnoy:J. Fluid Mech., 1976, vol. 76, pp. 510–17.

    Article  Google Scholar 

  19. R. E. Gaskell:Trans. ASME, J. Appl. Mech., 1950, vol. 17, pp. 334–36.

    Google Scholar 

  20. J. S. Chong:J. Appl. Polym. Sci., 1968, vol. 12, pp. 191–212.

    Article  CAS  Google Scholar 

  21. I. Brazinsky, H. F. Cosway, C. F. Valle, R. Clark, and V. Story:ibid., 1970, vol. 14, pp. 2771–84.

    Article  CAS  Google Scholar 

  22. W. W. Alston and K. N. Astill:ibid., 1973, vol. 17, pp. 3157–74.

    Article  Google Scholar 

  23. G. Dieter:Mechanical Metallurgy, 2nd ed., p. 608, McGraw-Hill, New York, 1976.

    Google Scholar 

  24. M. F. Ashby:Acta Metall., 1972, vol. 20, pp. 887–97.

    Article  CAS  Google Scholar 

  25. F. A. Mohamed and T. G. Langdon:Met. Trans., 1974, vol. 5, pp. 2339–45.

    CAS  Google Scholar 

  26. T. G. Langdon and F. A. Mohamed:J. Mater. Sci., 1978, vol. 13, pp. 1282–90.

    Article  CAS  Google Scholar 

  27. F. Garofalo:Trans. TMS.-AIME, 1963, vol. 227, pp. 351–56.

    Google Scholar 

  28. W. Wong and J. J. Jonas:Trans. TMS.-AIME, 1968, vol. 242, pp. 2271–80.

    CAS  Google Scholar 

  29. D. Raybould and T. Sheppard:J. Inst. Met., 1973, vol. 101, pp. 45–52.

    CAS  Google Scholar 

  30. I. Finnie and W. R. Heller:Creep of Engineering Materials, p. 168, McGraw-Hill, New York, 1959.

    Google Scholar 

  31. F. K. G. Odquist:Mathematical Theory of Creep and Creep Rupture, p. 19, Oxford Univ. Press, London, 1966.

    Google Scholar 

  32. H. Jeffereys:Cartesian Tensors, p. 1, Cambridge University Press, London, 1974.

    Google Scholar 

  33. N. Tipei:Trans. ASME, J. Lub. Tech., 1968, vol. 90, pp. 254–61.

    Google Scholar 

  34. W. D. Murray and F. Landis:Trans. ASME, J. Heat Transfer, 1959, vol. 81, pp. 106–12.

    CAS  Google Scholar 

  35. W. L. Heitz and J. W. Westwater:Int. J. Heat Mass Transfer, 1970, vol. 13, pp. 1371–75.

    Article  CAS  Google Scholar 

  36. K. Mastanaiah:Int. J. Num. Meth. Eng., 1976, vol. 10, pp. 833–44.

    Article  Google Scholar 

  37. J. L. Brandt:Aluminum, K. R. Van Horn, ed., p. 1, ASM, Metals Park, OH, 1967.

    Google Scholar 

  38. S. C. Hsu, S. Chakravorty, and R. Mehrabian:Met. Trans. B, 1978, vol. 9B, pp. 221–29.

    CAS  Google Scholar 

  39. G. Ibe, F. Winter, and W. Gruhl:Z. Metallkd., 1979, vol. 70, pp. 786–88.

    CAS  Google Scholar 

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Authors and Affiliations

  1. Department of Metallurgical Engineering, Nagoya University, Nagoya, Japan

    K. Miyazawa

  2. Massachusetts Institute of Technology, 02139, Cambridge, MA

    J. Szekely (Professor of Materials Engineering)

Authors
  1. K. Miyazawa
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  2. J. Szekely
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Formerly a Visiting Scientist in the Department of Materials Science and Engineering, MIT

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Miyazawa, K., Szekely, J. A mathematical model of the splat cooling process using the twin-roll technique. Metall Trans A 12, 1047–1057 (1981). https://doi.org/10.1007/BF02643486

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  • DOI: https://doi.org/10.1007/BF02643486

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