Volume effect on the instabilities of thermocapillary flow in annular pools filled with silicon melt. (February 2021)

• Record Type: Journal Article
• Authors: Liu, Hao; Zeng, Zhong; Yin, Linmao; Qiu, Zhouhua; Qiao, Long
• Is Part Of: International communications in heat and mass transfer. Volume 121(2021)
• Publication Date: 2021-02
• Subjects: Thermocapillary flow -- Volume effect -- Annular pool -- Linear stability analysis -- Flow instability; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Heat -- Transmission; Mass transfer; Periodicals; 621.4022
• DOI: 10.1016/j.icheatmasstransfer.2020.105099
• Languages: English
• ISSNs: 0735-1933

Abstract

Abstract: 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 / V 0 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 / V 0 = 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.