The micro-pulling-down (μ-PD) crystal growth of sapphire fibers, whose steady-state limits were the focus of our prior study [Samanta et al., Journal of Crystal Growth 335 (2011) 148-159], is further examined using a parametric sensitivity computation derived by linearizing the nonlinear model around a quasi-steady-state (QSS). In addition, transient analyses are performed to assess inherent stability and dynamic responses in this μ-PD system. Information from these two approaches enlarges our understanding of this particular process, and the approaches themselves are put forth as valuable complements to classical QSS analysis.
Bibliographical noteFunding Information:
The work was conducted at the University of Minnesota and was supported in part by the Minnesota Supercomputer Institute and the Department of Energy, National Nuclear Security Administration , under Award DE-FG52-08NA28768 . The content of the work does not necessarily reflect the position or policy of the United States Government, and no official endorsement should be inferred. We wish to thank a reviewer whose comments improved the paper.
- A1. Computer simulation
- A1. Fluid flows
- A1. Heat transfer
- B1. Oxide
- B2. Scintillator materials