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Melt motion in a Czochralski crystal puller with an axial magnetic field: isothermal motion

Published online by Cambridge University Press:  21 April 2006

L. N. Hjellming  and
J. S. Walker
L. N. Hjellming
Affiliation:
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801, USA
J. S. Walker
Affiliation:
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801, USA
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Abstract

A magnetic field suppresses turbulence and thermal convection in a Czochralski crystal puller. The amounts and distributions of dopants and oxygen in the crystal are determined by the motion of the molten silicon during crystal growth. This paper presents analytical solutions for the melt motion in a Czochralski puller with a strong, uniform, axial magnetic field. The relatively small electrical conductivity of the crystal plays a key role in determining the flow. Certain combinations of crystal and crucible rotation rates lead to flow patterns with a large volume of almost stagnant fluid under most of the crystal face. The values of these rotation rates depend on the magnetic field strength.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 164 , March 1986 , pp. 237 - 273
Copyright
© 1986 Cambridge University Press

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