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Conformal mapping in calculating the solidification of a complex casting

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Abstract

An approximate method is given for calculating the solidification of a complex casting on the basis of a quasistationary approach and the use of conformal transformation. The solution to the two-dimensional Stefan's problem is illustrated by the solidification of a melt in wedges of angle up to 2π.

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Literature cited

  1. B. Ya. Lyubov, Dokl. Akad. Nauk SSSR,68, No. 5 (1949).

  2. B. Ya. Lyubov, Dokl. Akad. Nauk SSSR,92, No. 4 (1953).

  3. V. T. Borisov, B. Ya. Lyubov, and D. E. Temkin, Dokl. Akad. Nauk SSSR,104, No. 2 (1955).

  4. J. Kolodner, in: Mechanics [Periodic collection of translations of foreign articles], No. 1 (41) (1957).

  5. G. A. Tirskii, Dokl. Akad. Nauk SSSR,125, No. 2 (1959).

  6. G. P. Ivantsov, B. Ya. Lyubov, B. G. Roitburd, Inzh.-Fiz. Zh.,3, No. 3 (1960).

  7. E. K. Iodko, Inzh.-Fiz. Zh.,6, No. 7 (1963).

  8. S. M. Adams, in: Solidification of Liquid Metals [Russian translation], Metallurgizdat, Moscow (1962).

    Google Scholar 

  9. L. S. Leibenzon, Collected Works [in Russian], Vol. 4, Izd. Akad. Nauk SSSR, Moscow (1955).

    Google Scholar 

  10. B. B. Gulyaev, Solidification and Inhomogeneity in Steel [in Russian], Metallurgizdat, Moscow-Leningrad (1950).

    Google Scholar 

  11. V. I. Smirnov, Textbook of Higher Mathematics [in Russian], Vol. 2, Nauka, Moscow (1965).

    Google Scholar 

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 29, No. 3, pp. 527–534, September, 1975.

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Samoilovich, Y.A. Conformal mapping in calculating the solidification of a complex casting. Journal of Engineering Physics 29, 1188–1193 (1975). https://doi.org/10.1007/BF00861220

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  • DOI: https://doi.org/10.1007/BF00861220

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