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

doi:10.1063/1.857829

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

Mathematical and Statistical Sciences, School of (SoMSS)

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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 language	English (US)
Pages (from-to)	2841-2846
Number of pages	6
Journal	Physics of Fluids A
Volume	3
Issue number	12
DOIs	https://doi.org/10.1063/1.857829
State	Published - 1991

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Engineering(all)

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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.",

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AU - Jankowski, D. F.

AU - Mittelmann, Hans

PY - 1991

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AB - 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.

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

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