Numerical simulation of crystal growth processes by means of horizontal unidirectional crystallization from melts with different Prandtl numbers

Proceedings of the XV International Conference “Luminescence and Laser Physics” (LLP-2016)


The dependence of the form of a water solidification front on time in a rectangular chamber bounded by two vertical walls heated to different temperatures is studied numerically. One wall is suddenly cooled to a temperature below the freezing point. Calculations are performed allowing for the heat of crystallization and inversion in the dependence of water density on temperature.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Kirgintsev, A.N., Isaenko, L.I., and Isaenko, V.A., Raspredelenie primesi pri napravlennoi kristallizatsii (Impurity Distribution in Directional Crystallization), Novosibirsk: Nauka, 1977.Google Scholar
  2. 2.
    Müller, G., Crystal Growth from the Melt, Springer, 1988.CrossRefGoogle Scholar
  3. 3.
    Bagdasarov, Kh.S. and Goryainov, L.A., Teplo- i massoperenos pri vyrashchivanii monokristallov napravlennoi kristallizatsiei (Heat and Mass Transfer in the Process of Single Crystal Growth by Directional Crystallization), Moscow: Fizmatlit, 2007.Google Scholar
  4. 4.
    Berdnikov, V.S., Zabrodin, A.G., and Markov, V.A., Fluid Mech.–Sov. Res., 1986, vol. 15, no. 3, p. 118.Google Scholar
  5. 5.
    Berdnikov, V.S., Gaponov, V.A., and Kovrizhnykh, L.S., J. Eng. Phys. Thermophys., 2001, vol. 74, no. 4, p. 999.CrossRefGoogle Scholar
  6. 6.
    Berdnikov, V.S. and Zabrodin, A.G., in Teplofizicheskie protsessy pri kristallizatsii veshchestv (Thermophysical Processes Accompanying Crystallization), Novosibirsk: Nauka, 1987, p. 67.Google Scholar
  7. 7.
    Smorygin, G.I., Teoriya i metody polucheniya iskusstvennogo l’da (Theory and Methods of Production of Artificial Ice), Novosibirsk: Nauka, 1988.Google Scholar
  8. 8.
    Eisenberg, D. and Kauzmann, W., The Structure and Properties of Water, New York: Oxford Univ. Press, 1969.Google Scholar
  9. 9.
    Jackson, K.A., Uhlmann, D.R., and Hunt, J.D., J. Cryst. Growth, 1967, vol. 1, p. 1.ADSCrossRefGoogle Scholar
  10. 10.
    Efroimson, V.O., Meteorol. Gidrol., 1977, no. 8, p. 34.Google Scholar
  11. 11.
    Soloveichik, Yu.G., Royak, M.E., and Persova, M.G., Metod konechnykh elementov dlya resheniya skalyarnykh i vektornykh zadach (Finite-Element Method for Solving Scalar and Vector Problems), Novosibirsk: Novosib. Gos. Tekh. Univ., 2007.Google Scholar
  12. 12.
    Samarskii, A.A. and Moiseenko, B.D., Zh. Vychisl. Mat. Mat. Fiz., 1965, vol. 5, no. 5, p. 816.Google Scholar
  13. 13.
    Vargaftik, N.B., Spravochnik po teplofizicheskim svoistvam gazov i zhidkostei (Handbook on Thermophysical Properties of Gases and Liquids), Moscow: Nauka, 1972.Google Scholar

Copyright information

© Allerton Press, Inc. 2017

Authors and Affiliations

  • V. S. Berdnikov
    • 1
    • 2
  • S. A. Kislitsyn
    • 1
    • 2
  • K. A. Mitin
    • 1
    • 2
  1. 1.Kutateladze Institute of Thermophysics, Siberian BranchRussian Academy of SciencesNovosibirskRussia
  2. 2.Novosibirsk State Technical UniversityNovosibirskRussia

Personalised recommendations