Volume effect on the instabilities of thermocapillary flow in annular pools filled with silicon melt

The effect of melt volume on the instabilities of thermocapillary flow in annular pools filled with silicon melt (Prandtl number Pr = 0.011) was investigated by the linear instability analysis. With the increase of volume ratio V/V0 from 0.584 to 1.343, the critical Marangoni number decreases steepl...

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Bibliographic Details
Published in:International communications in heat and mass transfer 2021-02, Vol.121, p.105099, Article 105099
Main Authors: Liu, Hao, Zeng, Zhong, Yin, Linmao, Qiu, Zhouhua, Qiao, Long
Format: Article
Language:English
Subjects:
Annular pool
Flow instability
Linear stability analysis
Thermocapillary flow
Volume effect
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Summary:The effect of melt volume on the instabilities of thermocapillary flow in annular pools filled with silicon melt (Prandtl number Pr = 0.011) was investigated by the linear instability analysis. With the increase of volume ratio V/V0 from 0.584 to 1.343, the critical Marangoni number decreases steeply when the volume ratios are small, while increases slightly for intermediate volume ratios, and decreases again for large volume ratios. The wavenumber and oscillation frequency keep decreasing and a jump occurs at approximately V/V0 = 1.2 corresponding to the second decrease of the critical Marangoni number. The energy analysis indicates that the flow instability is initiated by the hydrodynamic inertial instability mechanism.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2020.105099