Hydrodynamic stability of thermocapillary convection in liquid bridges

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)175-188
Number of pages14
JournalMathematical and Computer Modelling
Volume20
Issue number10-11
DOIs
StatePublished - Jan 1 1994

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Keywords

  • Energy stability
  • Free boundary problem
  • Generalized eigenvalue problem
  • Microgravity
  • Thermocapillary convection

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications

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