Effect of crystal and crubicle rotation on the flow stability in the Czochralski model at low Prandtl numbers
- 58 Downloads
The results of a numerical investigation of the joint effect of crystal and crubicle rotation on the flow stability at low Prandtl numbers (Pr=0.01 to 0.07) are presented. The regimes with an elevated stability threshold are determined for various combinations of crystal and crubicle rotations and the heat flux distributions over the growing crystal endface are obtained. The mechanisms of the loss of stability, as the critical values of the Grashof number and the rotation velocities are exceeded, are considered and a new regime of stable nonaxisymmetric flow is established.
Keywordsthermal gravitational convection forced convection crystal growth from a melt hydrodynamic Czochralski model numerical modeling flow stability convective interactions
Unable to display preview. Download preview PDF.
- 2.N. V. Nikitin, S. A. Nikitin, and V. I. Polezhaev, “Convective Instabilities in the Hydrodynamic Czochralski Crystal Growth Model,” Usp. Mekh. 2 (4), 63 (2003).Google Scholar
- 4.O. A. Bessonov and V. I. Polezhaev, “Modeling Three-Dimensional Supercritical Thermocapillary Flows in the Czochralski Model,” Izv. Vuzov. Sev. Kavkaz Region. Eststv. Nauki. Special Issue, 60 (2004).Google Scholar
- 12.V. S. Berdnikov and V. A. Gaponov, “Mixed Convection in the Regimes of Differential Rotation of Crystal and Crubicle in the Czochralski Model,” in: Works of the 4th Russ. Nat. Conf. on Heat Transfer. Vol. 3 [in Russian], Moscow Energy Institute (2006), p. 71.Google Scholar
- 13.O. A. Bessonov, “An 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