Skip to Main content Skip to Navigation
Conference papers

Stability of vertical films of molten glass due to evaporation

Abstract : This work presents a theoretical model to study the gravitational drainage of a vertical molten glass film. Surface tension gradient due to the evaporation of sodium oxide from the interfaces is taken into account using a simple model with a surface tension function of the liquid film thickness. A lubrication model is derived taking into account the gradient of surface tension. The final system of equations describing the mass and the momentum conservations is numerically solved by an implicit time solver using a finite difference method at a second order in time and space. The numerical method is compared with a previous results obtained without surface tension gradient. Afterward, the numerical procedure is applied to study a film drainage of molten silica-soda-lime glass. The effect of the surface tension gradient is investigated: it is pointed that with an increase of 0.5 % of the surface tension over the spread of the film which is order of few centimeters, the liquid film reaches an equilibrium thickness in agreement with previous experimental work.
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal-mines-paristech.archives-ouvertes.fr/hal-01519293
Contributor : Franck Pigeonneau <>
Submitted on : Saturday, May 6, 2017 - 7:18:28 PM
Last modification on : Wednesday, December 9, 2020 - 3:44:17 AM
Long-term archiving on: : Monday, August 7, 2017 - 12:18:21 PM

File

PigeonneauetalICMF2013.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01519293, version 1

Citation

Franck Pigeonneau, Helena Kočárková, Florence Rouyer. Stability of vertical films of molten glass due to evaporation. International Conference on Multiphase Flow, May 2013, Jeju, South Korea. ⟨hal-01519293⟩

Share

Metrics

Record views

307

Files downloads

293