Interfacial phenomena of molten silicon

Marangoni flow and surface tension

Taketoshi Hibiya, Shin Nakamura, Kusuhiro Mukai, Zheng Gang Niu, Nobuyuki Imaishi, Shinichi Nishizawa, Shin Ichi Yoda, Masato Koyama

Research output: Contribution to journalArticle

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Abstract

Temperature oscillation due to the oscillatory Marangoni flow was measured for a molten half-zone silicon column (10 mm high and 10 mm in diameter with a temperature difference of 150 K between the upper and lower solid-liquid interfaces) under microgravity by using fine thermocouples. The flow is in a hypercritical condition; that is, the Marangoni number is estimated to be over 10 000. The structure of the Marangoni instability is two-fold symmetry for the small aspect ratio (height/radius) Γ of 1 and one-fold symmetry for the melt with Γ of 2. The surface tension of molten silicon was measured by a sessile drop method in carefully controlled ambient atmospheres with various oxygen partial pressures from 4 × 10-22 to 6 × 10-19 MPa. These measurements showed that the surface tension and its temperature coefficient showed a marked dependence on oxygen partial pressure. Accordingly the effect of oxygen partial pressure on the Marangoni flow should be made clear. Moreover, Marangoni flow at the flat surface, which corresponds to the flow for the Czochralski growth system, should also be studied.

Original languageEnglish
Pages (from-to)899-909
Number of pages11
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume356
Issue number1739
DOIs
Publication statusPublished - Apr 15 1998
Externally publishedYes

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Surface Tension
Partial pressure
Surface tension
Molten materials
Silicon
interfacial tension
Oxygen
silicon
partial pressure
Crystal growth from melt
Partial
Microgravity
Thermocouples
Fold
oxygen
Temperature
Aspect ratio
Symmetry
symmetry
liquid-solid interfaces

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

Interfacial phenomena of molten silicon : Marangoni flow and surface tension. / Hibiya, Taketoshi; Nakamura, Shin; Mukai, Kusuhiro; Niu, Zheng Gang; Imaishi, Nobuyuki; Nishizawa, Shinichi; Yoda, Shin Ichi; Koyama, Masato.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 356, No. 1739, 15.04.1998, p. 899-909.

Research output: Contribution to journalArticle

Hibiya, Taketoshi ; Nakamura, Shin ; Mukai, Kusuhiro ; Niu, Zheng Gang ; Imaishi, Nobuyuki ; Nishizawa, Shinichi ; Yoda, Shin Ichi ; Koyama, Masato. / Interfacial phenomena of molten silicon : Marangoni flow and surface tension. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1998 ; Vol. 356, No. 1739. pp. 899-909.
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