Energy stability theory is applied to investigate the stability properties of thermocapillary convection in a half-zone model of the float-zone crystal-growth process. This analysis identifies regions of guaranteed stability with respect to disturbances of arbitrary amplitude. While earlier computations were aimed at producing numbers that could be compared to model experiments, here results will be presented for various Prandtl numbers and aspect ratios.
- Energy stability
- Free boundary problem
- Generalized eigenvalue problem
- Thermocapillary convection
ASJC Scopus subject areas
- Modeling and Simulation
- Computer Science Applications