Experimental study on transition to oscillatory thermocapillary flow in a low Prandtl number liquid bridge

Citation
K. Takagi et al., Experimental study on transition to oscillatory thermocapillary flow in a low Prandtl number liquid bridge, J CRYST GR, 233(1-2), 2001, pp. 399-407
Citations number
15
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
JOURNAL OF CRYSTAL GROWTH
ISSN journal
00220248 → ACNP
Volume
233
Issue
1-2
Year of publication
2001
Pages
399 - 407
Database
ISI
SICI code
0022-0248(200111)233:1-2<399:ESOTTO>2.0.ZU;2-L
Abstract
The transition behavior from stationary to oscillatory thermocapillary flow was experimentally studied with a liquid bridge of molten tin (Prandtl num ber Pr = 0.01) of 1.5 mm in radius. The experimental difficulties such as p reventing oxidation of the melt surface and detecting a small amplitude of surface temperature fluctuation without any external disturbances on the fl ow field were successfully solved by employing a high vacuum condition, ion etching to remove the oxide film on the surface and a high resolution radi ation thermometer. A temperature fluctuation was first observed at a Marang oni number Ma of 43.3. Frequency and amplitude of the fluctuation were 0.08 Hz and 0.3 K, respectively, which is significantly larger than temperature resolution of the radiation thermometer used. The temperature oscillation developed with increasing temperature difference imposed between the upper and lower ends of the liquid column and then observed a standing wave of 0. 42 Hz with very strong amplitude at a Marangoni number of 91. The flow tran sition was directly proved by a surface flow visualization experiment. Tin- oxide particles, which were pre-mixed with molten tin, were observed to rep eat oscillatory movement along the circumferential direction with 0.5 s int erval after the onset of the oscillation. Those results are the first and c lear experimental evidence for the transition to oscillatory flow in a low Pr fluid by a non-contact diagnostic, which has never been observed yet. Va lidity of the experimentally determined critical Marangoni number and the f requency of the standing wave were discussed by comparing with a numerical result. (C) 2001 Elsevier Science B.V. All rights reserved.