Interfacial phenomena of molten silicon: Marangoni flow and surface tension

1998 ◽  
Vol 356 (1739) ◽  
pp. 899-909 ◽  
Author(s):  
Taketoshi Hibiya ◽  
Shin Nakamura ◽  
Kusuhiro Mukai ◽  
Zheng–Gang Niu ◽  
Nobuyuki Imaishi ◽  
...  
Keyword(s):  
Surface Tension ◽  
Interfacial Phenomena ◽  
Molten Silicon ◽  
Marangoni Flow

scholarly journals Enhanced interfacial deformation in a Marangoni flow: A measure of the dynamical surface tension

2018 ◽  
Vol 3 (2) ◽  
Author(s):  
Rodrigo Leite Pinto ◽  
Sébastien Le Roux ◽  
Isabelle Cantat ◽  
Arnaud Saint-Jalmes
Keyword(s):  
Surface Tension ◽  
Marangoni Flow ◽  
Interfacial Deformation

Measurement of the surface tension of molten silicon by the use of ripplon

1998 ◽  
Vol 30 (1) ◽  
pp. 91-96 ◽  
Author(s):  
Nobuya Kawasaki ◽  
Kotaro Watanabe ◽  
Yuji Nagasaka
Keyword(s):  
Surface Tension ◽  
Molten Silicon

Surface Tension Variation of Molten Silicon Measured by Ring Tensiometry Technique and Related Temperature and Impurity Dependence

2000 ◽  
Vol 39 (Part 1, No. 12A) ◽  
pp. 6487-6492 ◽  
Author(s):  
Hideo Nakanishi ◽  
Kenichi Nakazato ◽  
Kazutaka Terashima
Keyword(s):  
Surface Tension ◽  
Molten Silicon

Surface tension of molten silicon measured by microgravity oscillating drop method and improved sessile drop method

2006 ◽  
Vol 54 (5) ◽  
pp. 1221-1225 ◽  
Author(s):  
Hidetoshi Fujii ◽  
Taihei Matsumoto ◽  
Shun Izutani ◽  
Shoji Kiguchi ◽  
Kiyoshi Nogi
Keyword(s):  
Surface Tension ◽  
Sessile Drop ◽  
Sessile Drop Method ◽  
Molten Silicon ◽  
Drop Method

Experimental study on time evolution of Marangoni flow instability in molten silicon bridge

2005 ◽  
Vol 40 (9-10) ◽  
pp. 2221-2225 ◽  
Author(s):  
N. Yamane ◽  
K. Nagafuchi ◽  
S. Shiratori ◽  
H. Okubo ◽  
N. Sato ◽  
...  
Keyword(s):  
Experimental Study ◽  
Time Evolution ◽  
Flow Instability ◽  
Molten Silicon ◽  
Marangoni Flow

scholarly journals Theoretical Study of a Thermophysical Property of Molten Semiconductors

2011 ◽  
Vol 2011 ◽  
pp. 1-5 ◽  
Author(s):  
Fathi Aqra ◽  
Ahmed Ayyad
Keyword(s):  
Experimental Data ◽  
Surface Tension ◽  
High Temperature ◽  
Theoretical Calculation ◽  
Theoretical Approach ◽  
Theoretical Study ◽  
Molten Silicon ◽  
Surface Tension Data ◽  
Silicon And Germanium ◽  
Calculated Temperature Dependence

This paper deals with theoretical approach to surface tension of molten silicon and germanium, and contributes to this field, which is very important. A theoretical calculation for determining the surface tension of high-temperature semiconductor melts, such as molten silicon and germanium, in the temperature range 1687–1825 K and 1211–1400 K, respectively, is described. The calculated temperature-dependence surface tension data for both Si and Ge are expressed as and (mJ m−2), respectively. These values are in consistence with the reported experimental data (720–875 for Si and 560–632 mJ m−2 for Ge). The calculated surface tension for both elements decreases linearly with temperature.

The anomalous wake accompanying bubbles rising in a thin gap: a mechanically forced Marangoni flow

1997 ◽  
Vol 352 ◽  
pp. 283-303 ◽  
Author(s):  
JOHN W. M. BUSH
Keyword(s):  
Surface Tension ◽  
Bubble Surface ◽  
Surface Flow ◽  
Surface Tension Gradient ◽  
Marangoni Flow ◽  
Wake Structure ◽  
Rising Bubble ◽  
Moderate Reynolds Number ◽  
Mechanical Analogue ◽  
Order Of Magnitude

A novel wake structure, observed as penny-shaped air bubbles rise at moderate Reynolds number through a thin layer of water bound between parallel glass plates inclined at a shallow angle relative to the horizontal, is reported. The structure of the wake is revealed through tracking particles suspended in the water. The wake completely encircles the rising bubble, and is characterized by a reverse surface flow or ‘edge jet’ which transports fluid in a thin boundary layer along the bubble surface from the tail to the nose at speeds which are typically an order of magnitude larger than the bubble rise speed. A consistent physical explanation for the wake structure is proposed. The wake is revealed to be a manifestation of the three-dimensionality of the flow in the suspending fluid. The bubble surface advances through a rolling motion, thus generating regions of surface divergence and convergence at, respectively, the leading and trailing edges of the bubble. A nose-to-tail gradient in surfactant concentration is thus established, and the associated surface tension gradient drives the edge jet. The dependence of the wake structure on the suspending fluid is examined experimentally.Surfactants play an anomalous role in the reported flow, serving to promote rather than suppress surface motions. The wake structure is an example of a mechanically forced Marangoni flow, and so represents a mechanical analogue of that accompanying thermocapillary drop motion in microgravity. A theoretical model is developed which reproduces the salient features of the flow, and on the basis of which an estimate is made of the mechanically induced surface tension gradient along the bubble surface.

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