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

The micro-pulling-down (μ-PDμ-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-PDμ-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.

► Parametric sensitivities are formally derived for a quasi-steady-state, thermal-capillary model of a micro-pulling-down growth system. ► Stabilities are assessed for this system using transient analyses. ► Insights are presented for process optimization, stability, and control.