Hydrodynamic Instabilities in Czochralski Process of Crystal Growth

This paper deals with axisymmmetry breaking instabilities in Czochralski process of crystal growth. Numerical linear stability analysis was carried out using the axisymmetric bulk flow model. Stability diagrams of critical Grashof numbers Grc and frequencies ?c dependent on aspect ratio alpha(=height/radius), 0.4 =< alpha =< 1.0 and Prandtl...