Hydrodynamic stability of thermocapillary convection in liquid bridges

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 - 1994

Fingerprint

Thermocapillary Convection
Liquid Bridge
Hydrodynamic Stability
Hydrodynamics
Crystal Growth
Growth Process
Stability Theory
Prandtl number
Liquids
Aspect Ratio
Disturbance
Crystal growth
Aspect ratio
Arbitrary
Energy
Model
Experiment
Convection
Experiments

Keywords

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

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

Cite this

Hydrodynamic stability of thermocapillary convection in liquid bridges. / Mittelmann, Hans.

In: Mathematical and Computer Modelling, Vol. 20, No. 10-11, 1994, p. 175-188.

Research output: Contribution to journalArticle

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