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Analysis of Crystallization of a Supercooled Melt by the Integral‐Balance Method

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Abstract

Using the integral‐balance method, the Stefan problem is solved for simply shaped crystals (a prism, a cylinder, and a sphere) grown in a supercooled melt. It is shown that the rate of crystal growth increases with the surface‐to‐volume ratio (in passage from a prism to a cylinder and a sphere). For all the three shapes of crystals studied the dependence of the speed of motion of the crystallization front on the supercooling is nonlinear and is characterized by a progressive increase.

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REFERENCES

  1. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids [Russian translation], Moscow (1964).

  2. A. V. Luikov, Theory of Heat Conduction [in Russian], 2nd edn., Moscow (1967).

  3. I. S. Miroshnichenko, Melt-Bath Hardening [in Russian], Moscow (1982).

  4. B. Chalmers, Theory of Solidification [Russian translation], Moscow (1968).

  5. G. Horvay and J. W. Cahn, Acta Met., 9, 695–705 (1961).

    Google Scholar 

  6. J. S. Langer and H. Müller-Krumbhaar, Acta Met., 26, 1681–1708 (1978).

    Google Scholar 

  7. S.-C. Huang and M. E. Glicksman, Acta Met., 29, 701–734 (1981).

    Google Scholar 

  8. L. S. Leibenzon, in: Solidification of the Globe from the Initial Molten State, Collection of Papers [in Russian], Vol. 4, Moscow (1955), pp. 317–359.

    Google Scholar 

  9. A. I. Veinik, Approximate Calculation of Heat-Conduction Processes [in Russian], Moscow—Leningrad (1959).

  10. T. Goodman, in: Problems of Heat Exchange [Russian translation], Moscow (1967), pp. 41–96.

  11. Yu. A. Samoilovich, Forming an Ingot [in Russian], Moscow (1977).

  12. Yu. A. Samoilovich and V. I. Timoshpol'skii, Inzh.-Fiz. Zh., 52, No. 3, 485–490 (1987).

    Google Scholar 

  13. D. R. Wilson, Structure of Liquid Metals and Alloys [Russian translation], Moscow (1972).

  14. D. Turnball, J. Appl. Phys., 21, No. 10, 1022–1028 (1950).

    Google Scholar 

  15. D. Turnball and R. E. Cech, J. Appl. Phys., 21, No. 8, 804–810 (1950).

    Google Scholar 

  16. V. T. Borisov, A. I. Dukhin, Yu. E. Matveev, et al., in: Problems of Metal Science and the Physics of Metals (10th Collection of Papers of TsNIIChM) [in Russian], Moscow (1968), pp. 75–85.

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Samoilovich, Y.A., Timoshpol'skii, V.I. & Trusova, I.A. Analysis of Crystallization of a Supercooled Melt by the Integral‐Balance Method. Journal of Engineering Physics and Thermophysics 74, 199–207 (2001). https://doi.org/10.1023/A:1016658827880

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  • DOI: https://doi.org/10.1023/A:1016658827880

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