Effect of nonstationary regimes of the natural and mixed convection of melts on heat transfer and the forms of crystallization fronts in the Czochralski method

  • V. S. Berdnikov
  • V. A. Vinokurov
  • V. V. Vinokurov
Proceedings of the XV International Conference “Luminescence and Laser Physics” (LLP-2016)
  • 7 Downloads

Abstract

Regimes of the natural and mixed convection of melts with Prandtl numbers ten and 16 are studied experimentally and numerically. The evolution of spatial shape of flow as the Reynolds number rises is studied, as is that of heat transfer on the crystallization front at fixed values of the Grashof and Marangoni numbers, relative to the crystal radius. The boundaries of transitions to nonstationary flow regimes are determined.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Mil’vidskii, M.G., Poluprovodnikovye materialy v sovremennoi elektronike (Semiconductor Materials in Modern Electronics), Moscow: Nauka, 1986.Google Scholar
  2. 2.
    Berdnikov, V.S., Vinokurov, V.V, Panchenko, V.I., and Solov’ev, S.V., J. Eng. Phys. Thermophys., 2001, vol. 74, no. 4, p. 1007.CrossRefGoogle Scholar
  3. 3.
    Prostomolotov, A.I. and Mil’vidskii, M.G., Izv. Vyssh. Uchebn. Zaved., Mater. Elektron. Tekh., 2008, no. 3, p. 49.Google Scholar
  4. 4.
    Berdnikov, V.S., Vinokurov, V.A., Vinokurov, V.V., and Gaponov, V.A., Tepl. Protsessy Tekh., 2011, vol. 3, no. 4, p. 177.Google Scholar
  5. 5.
    Berdnikov, V.S., Prostomolotov, A.I., and Verezub, N.A., J. Cryst. Growth, 2014, vol. 401, p. 106.ADSCrossRefGoogle Scholar
  6. 6.
    Berdnikov, V., Prostomolotov, A., Verezub, N., and Vinokurov, V., J. Mater. Sci. Eng. A, 2015, no. 10, p. 351.Google Scholar
  7. 7.
    Mazaev, K., Kalaev, V., Galenin, E., Tkachenko, S., and Sidletskiy, O., J. Cryst. Growth, 2009, vol. 311, p. 3933.ADSCrossRefGoogle Scholar
  8. 8.
    Bessonov, O.A. and Polezhaev, V.I., Fluid Dyn., 2011, vol. 46, no. 5, p. 684.ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    Bessonov, O.A., Fluid Dyn., 2015, vol. 50, no. 3, p. 351.MathSciNetCrossRefGoogle Scholar
  10. 10.
    Berdnikov, V.S. and Mitin, K.A., Bull. Russ. Acad. Sci.: Phys., 2016, vol. 80, no. 1, p. 68.CrossRefGoogle Scholar
  11. 11.
    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
  • V. A. Vinokurov
    • 1
  • V. V. Vinokurov
    • 1
  1. 1.Kutateladze Institute of Thermophysics, Siberian BranchRussian Academy of SciencesNovosibirskRussia
  2. 2.Novosibirsk State Technical UniversityNovosibirskRussia

Personalised recommendations