Energy stability of thermocapillary convection in a model of the float-zone crystal-growth process. II: Nonaxisymmetric disturbances

G. P. Neitzel, C. C. Law, D. F. Jankowski, Hans Mittelmann

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

Energy-stability theory has been applied to investigate the stability properties of thermocapillary convection in a half-zone model of the float-zone crystal-growth process. An earlier axisymmetric model has been extended to permit nonaxisymmetric disturbances, thus determining sufficient conditions for stability to disturbances of arbitrary amplitude. The results for nonaxisymmetric disturbances are compared with earlier axisymmetric results, with linear-stability results for a geometry with an infinitely long aspect ratio and with stability boundaries from recent laboratory experiments.

Original languageEnglish (US)
Pages (from-to)2841-2846
Number of pages6
JournalPhysics of Fluids A
Volume3
Issue number12
StatePublished - 1991

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float zones
Crystallization
Crystal growth
crystal growth
convection
disturbances
energy
aspect ratio
Aspect ratio
Convection
Geometry
geometry
Experiments

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Computational Mechanics
  • Fluid Flow and Transfer Processes

Cite this

Energy stability of thermocapillary convection in a model of the float-zone crystal-growth process. II : Nonaxisymmetric disturbances. / Neitzel, G. P.; Law, C. C.; Jankowski, D. F.; Mittelmann, Hans.

In: Physics of Fluids A, Vol. 3, No. 12, 1991, p. 2841-2846.

Research output: Contribution to journalArticle

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