Parametric sensitivity and temporal dynamics of sapphire crystal growth via the micro-pulling-down method

Gaurab Samanta, Andrew Yeckel, Edith D. Bourret-Courchesne, Jeffrey J. Derby

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)99-106
Number of pages8
JournalJournal of Crystal Growth
Issue number1
StatePublished - Nov 15 2012

Bibliographical note

Funding 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


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