A model for gravity driven flow of a thin liquid-solid solution with evaporation effects

M. Hayes; S. B.G. O'Brien

doi:10.1007/s00033-005-3098-3

A model for gravity driven flow of a thin liquid-solid solution with evaporation effects

M. Hayes, S. B.G. O'Brien

Department of Mathematics and Statistics

University of Limerick

Research output: Contribution to journal › Article › peer-review

Abstract

A vertical substrate is coated with a thin film of a solution consisting of a volatile viscous liquid and a solid solute. The liquid film thins under gravity while the volatile component simultaneously evaporates. We develop a model to predict the evolving film thickness and in so doing we develop an approximation for the later stages of the well-known dip-coating process.

Original language	English
Pages (from-to)	852-873
Number of pages	22
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	56
Issue number	5
DOIs	https://doi.org/10.1007/s00033-005-3098-3
Publication status	Published - Sep 2005

Keywords

Evaporation
Solution
Thin film

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10.1007/s00033-005-3098-3

Cite this

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abstract = "A vertical substrate is coated with a thin film of a solution consisting of a volatile viscous liquid and a solid solute. The liquid film thins under gravity while the volatile component simultaneously evaporates. We develop a model to predict the evolving film thickness and in so doing we develop an approximation for the later stages of the well-known dip-coating process.",

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A model for gravity driven flow of a thin liquid-solid solution with evaporation effects

Abstract

Keywords

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