The European Physical Journal Special Topics

, Volume 192, Issue 1, pp 41–46 | Cite as

Numerical modelling of three-dimensional thermo- and solutocapillary-induced flows in a floating zone during crystal growth

  • T.P. Lyubimova
  • R.V. Scuridyn
Regular Article


Numerical modeling of temperature distribution, velocity and dopant concentration in crystal growth by the floating zone method in microgravity conditions is carried out taking into account thermocapillary and solutocapillary effects. The deformations of free surface and the curvature of crystallization and melting fronts are neglected. Non-stationary three-dimensional problem is solved by finite differences method. The establishing of stationary axisymmetrical regimes as well as the development of non-stationary three-dimensional regimes are observed.


European Physical Journal Special Topic Linear Stability Liquid Bridge Microgravity Condition Marangoni Number 
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  1. 1.
    A.M. Davis, J. Phys. Fluids A 1 (1989)Google Scholar
  2. 2.
    C.W. Lan, Int. J. Numer. Meth. Fluids 19 (1994)Google Scholar
  3. 3.
    T.A. Campbell, M. Schweizer, P. Dold, A. Croll, K.W. Benz, J. Crystal Growth 226 (2001)Google Scholar
  4. 4.
    J.S. Walker, P. Dold, A. Croll, M.P. Volz, F.R. Szofran, Int. J. Heat Mass Transfer 45, 4695 (2002)CrossRefzbMATHGoogle Scholar
  5. 5.
    T.P. Lyubimova, R.V. Skuridin, I.S. Faizrakhmanova J. Crystal Growth 303, 274 (2007)CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences and Springer 2011

Authors and Affiliations

  • T.P. Lyubimova
    • 1
  • R.V. Scuridyn
    • 1
  1. 1.Institute of Continuous Media Mechanics UB RAS, PermPermRussia

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