A model for foam formation, stability, and breakdown in glass-melting furnaces

J. Schaaf, van der, R.G.C. Beerkens

Research output: Contribution to journalArticleAcademicpeer-review

22 Citations (Scopus)
1 Downloads (Pure)

Abstract

A dynamic model for describing the build-up and breakdown of a glass-melt foam is presented. The foam height is determined by the gas fluxto the glass-melt surface and the drainage rate of the liquid lamellae between the gas bubbles. The drainage rate is determined by the average gas bubble radius and the physical properties of the glass melt: density, viscosity, surface tension, and interfacial mobility. Neither the assumption of a fully mobile nor the assumption of a fully immobile glass-melt interface describe the observed foam formation on glass melts adequately. The glass-melt interface appears partially mobile due to the presence of surface active species, e.g., sodium sulfate and silanol groups. The partial mobility can be represented by a single, glass-melt composition specific parameter ¿. The value of ¿ can be estimated from gas bubble lifetime experiments under furnace conditions.With this parameter, laboratory experiments of foam build-up and breakdown in a glass melt are adequately described, qualitatively and quantitatively by a set of ordinary differential equations. An approximate explicit relationship for the prediction of the steady-state foam height is derived from the fundamental model.
Original languageEnglish
Pages (from-to)218-229
JournalJournal of Colloid and Interface Science
Volume295
Issue number1
DOIs
Publication statusPublished - 2005

Fingerprint

Glass furnaces
Melting furnaces
Foams
Glass
Gases
Drainage
Sodium sulfate
Bubbles (in fluids)
Ordinary differential equations
Surface tension
Dynamic models
Furnaces
Physical properties
Experiments
Viscosity
Liquids

Cite this

@article{63f45c61a77b44ada0ca3965d60266f6,
title = "A model for foam formation, stability, and breakdown in glass-melting furnaces",
abstract = "A dynamic model for describing the build-up and breakdown of a glass-melt foam is presented. The foam height is determined by the gas fluxto the glass-melt surface and the drainage rate of the liquid lamellae between the gas bubbles. The drainage rate is determined by the average gas bubble radius and the physical properties of the glass melt: density, viscosity, surface tension, and interfacial mobility. Neither the assumption of a fully mobile nor the assumption of a fully immobile glass-melt interface describe the observed foam formation on glass melts adequately. The glass-melt interface appears partially mobile due to the presence of surface active species, e.g., sodium sulfate and silanol groups. The partial mobility can be represented by a single, glass-melt composition specific parameter ¿. The value of ¿ can be estimated from gas bubble lifetime experiments under furnace conditions.With this parameter, laboratory experiments of foam build-up and breakdown in a glass melt are adequately described, qualitatively and quantitatively by a set of ordinary differential equations. An approximate explicit relationship for the prediction of the steady-state foam height is derived from the fundamental model.",
author = "{Schaaf, van der}, J. and R.G.C. Beerkens",
year = "2005",
doi = "10.1016/j.jcis.2005.07.068",
language = "English",
volume = "295",
pages = "218--229",
journal = "Journal of Colloid and Interface Science",
issn = "0021-9797",
publisher = "Academic Press Inc.",
number = "1",

}

A model for foam formation, stability, and breakdown in glass-melting furnaces. / Schaaf, van der, J.; Beerkens, R.G.C.

In: Journal of Colloid and Interface Science, Vol. 295, No. 1, 2005, p. 218-229.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - A model for foam formation, stability, and breakdown in glass-melting furnaces

AU - Schaaf, van der, J.

AU - Beerkens, R.G.C.

PY - 2005

Y1 - 2005

N2 - A dynamic model for describing the build-up and breakdown of a glass-melt foam is presented. The foam height is determined by the gas fluxto the glass-melt surface and the drainage rate of the liquid lamellae between the gas bubbles. The drainage rate is determined by the average gas bubble radius and the physical properties of the glass melt: density, viscosity, surface tension, and interfacial mobility. Neither the assumption of a fully mobile nor the assumption of a fully immobile glass-melt interface describe the observed foam formation on glass melts adequately. The glass-melt interface appears partially mobile due to the presence of surface active species, e.g., sodium sulfate and silanol groups. The partial mobility can be represented by a single, glass-melt composition specific parameter ¿. The value of ¿ can be estimated from gas bubble lifetime experiments under furnace conditions.With this parameter, laboratory experiments of foam build-up and breakdown in a glass melt are adequately described, qualitatively and quantitatively by a set of ordinary differential equations. An approximate explicit relationship for the prediction of the steady-state foam height is derived from the fundamental model.

AB - A dynamic model for describing the build-up and breakdown of a glass-melt foam is presented. The foam height is determined by the gas fluxto the glass-melt surface and the drainage rate of the liquid lamellae between the gas bubbles. The drainage rate is determined by the average gas bubble radius and the physical properties of the glass melt: density, viscosity, surface tension, and interfacial mobility. Neither the assumption of a fully mobile nor the assumption of a fully immobile glass-melt interface describe the observed foam formation on glass melts adequately. The glass-melt interface appears partially mobile due to the presence of surface active species, e.g., sodium sulfate and silanol groups. The partial mobility can be represented by a single, glass-melt composition specific parameter ¿. The value of ¿ can be estimated from gas bubble lifetime experiments under furnace conditions.With this parameter, laboratory experiments of foam build-up and breakdown in a glass melt are adequately described, qualitatively and quantitatively by a set of ordinary differential equations. An approximate explicit relationship for the prediction of the steady-state foam height is derived from the fundamental model.

U2 - 10.1016/j.jcis.2005.07.068

DO - 10.1016/j.jcis.2005.07.068

M3 - Article

VL - 295

SP - 218

EP - 229

JO - Journal of Colloid and Interface Science

JF - Journal of Colloid and Interface Science

SN - 0021-9797

IS - 1

ER -