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Proceedings Paper

Pattern formation of thermocapillary flows in liquid bridges
Author(s): Hendrik C. Kuhlmann; J. Leypoldt; Hans J. Rath
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Paper Abstract

The non-intrusive measurement of velocity and temperature fields inside liquid metals is very difficult owing to their opacity for light in the near-visible range and the lack of suitable tracer particles. This is one of the reasons why numerical modeling of liquid metal flow has become increasingly important, in particular in crystal growth from the melt. Apart from the desire to model technical processes as realistically as possible, simple model studies have been carried out to investigate the fundamental fluid physics. These simple models are also very valuable for the test and the development of velocity-measurement techniques using, e.g. x-rays. This paper reports on recent advancements in the numerical analysis of thermocapillary flow in the most wide-spread model for the float-zone process of silicon crystal growth. In the model, tangential free surface forces drive a toroidal vortex flow inside a cylindrical volume of liquid. On an increase of the driving shear stresses induced by thermocapillarity the flow undergoes a sequence of pattern forming instabilities. The properties of these transitions, which are quite different for transparent high- and opaque low-Prandtl-number fluids, the physical mechanisms, and the structure o the associated flow fields will be addressed. Results have been obtained by 3D linear stability analyses and full numerical simulations of the governing equations.

Paper Details

Date Published: 6 July 1999
PDF: 10 pages
Proc. SPIE 3792, Materials Research in Low Gravity II, (6 July 1999); doi: 10.1117/12.351294
Show Author Affiliations
Hendrik C. Kuhlmann, Univ. of Bremen (Germany)
J. Leypoldt, Univ. of Bremen (Germany)
Hans J. Rath, Univ. of Bremen (Germany)

Published in SPIE Proceedings Vol. 3792:
Materials Research in Low Gravity II
Narayanan Ramachandran, Editor(s)

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