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Film drainage of viscous liquid on top of bare bubble: Influence of the Bond number
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Image of FIG. 1.
FIG. 1.

(a) Sketch of the experimental set-up at room temperature. (b) Example of top and side views of a bubble at room temperature in UCON oil.

Image of FIG. 2.
FIG. 2.

(a) Sketch of the experimental set-up designed for molten glass in a furnace. (b) Example of top view of the platinum crucible with bubble (D = 6.8 mm) at 1044 °C in molten window glass.

Image of FIG. 3.
FIG. 3.

(a) Example of an interference pattern on the bubble, signal in (b) was obtained as an average intensity on time in circled area. (b) Example of an interference signal of molten glass.

Image of FIG. 4.
FIG. 4.

Typical variation of the normalized thickness of the film as a function of dimensionless time.

Image of FIG. 5.
FIG. 5.

Experimental results of normalized thinning rate versus Bond number obtaining for the four liquids.

Image of FIG. 6.
FIG. 6.

Bubble shape at a free surface for .

Image of FIG. 7.
FIG. 7.

/(/2) versus : circle points are determined according to Princen's model and dashed line is the fit corresponding to Eq. (15) . The solid line is the asymptotic behavior at small Bond number according to Howell's model.


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Table I.

Dynamic viscosity, density, surface tension, and refractive index of liquids explored in the experiments. The two first rows give the properties for liquids available at room temperature. The two last rows provide the properties for molten glasses determined for an operating temperature in the furnace equal to 1227 °C.

Generic image for table
Table II.

Glass compositions given in weight percentage.

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Table III.

Ranges of bubble diameter investigated in the experiments. The corresponding Bond and Ohnesorge numbers are also summarized.

Generic image for table
Table IV.

Values of and the corresponding for the four liquids estimated .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Film drainage of viscous liquid on top of bare bubble: Influence of the Bond number