Convective interactions and flow stability in the czochralskimodel in the case of crystal rotation
- 36 Downloads
The results of a numerical investigation of the crystal rotation effect on the flow stability are presented on a wide Prandtl number (Pr) range. For low Pr the regimes with an elevated stability threshold are determined and the mechanisms of the loss of stability, as the critical values of the Grashof number (Gr) and the rotation velocity are exceeded, are considered. For medium and high Pr the tables of flow regimes are given, the special features of stable nonaxisymmetric helical flows are considered, and the zones of partial flow stabilization are established.
Keywordsthermal gravitational convection crystal growth from a melt hydrodynamic Czochralski model numerical modeling convective stability convective interactions stabilization of oscillations
Unable to display preview. Download preview PDF.
- 1.N.V. Nikitin, S.A. Nikitin, and V.I. Polezhaev, “Convective Instabilities in the Hydrodynamic Czochralski Model of Crystal Growth,” Usp. Mekh. 2(4), 63 (2003).Google Scholar
- 6.V.S. Bernikov, V.A. Vinokurov, V.V. Vinokurov, and V.A. Gaponov, “Mixed Convection in the Czochralski Method with a Fixed Crubicle,” in: Proc. 4th Russian Nat. Conf. Heat Transfer. Vol. 3 [in Russian], Moscow Energy Institute (2006), p. 76.Google Scholar
- 8.O.A. Bessonov and V.I. Polezhaev, “Modeling of Three-Dimensional Supercritical Thermocapillary Flows in the Czochralski Method,” Izv. Vuzov Sev.-Kavkaz. Region. Estestv. Nauki. Special Issue’ Mathematics and Continuum Mechanics’ p. 60 (2004).Google Scholar
- 13.A.Yu. Gelfgat, “Numerical Study of Three-Dimensional Instabilities of Czochralski Melt Flow Driven by Buoyancy Convection, Thermocapillarity and Rotation, ” in: A.Yu. Gelfgat (ed.), Studies on Flow Instabilities in Bulk Crystal Growth. 37/661(2) (2007), p. 1.Google Scholar
- 14.O.A. Bessonov, “Effective Method for Calculating Incompressible Flows in Regions of Regular Geometry,” Russian Academy of Sciences, Institute for Problems in Mechanics, Preprint No. 1021 (2012).Google Scholar