A mathematical model for drying paint layers
type: Item
instance of: scholarly article
title: A mathematical model for drying paint layers
zbMATH Open document ID: 0910.76006
DOI: 10.1023/A:1004224014291
author: S. D. Howison
author: J. A. Moriarty
author: E. L. Terrill
author: John R. Ockendon
author: S. K. Wilson
published in: Journal of Engineering Mathematics
publication date: 1998-07-28T00:00:00Z
review text: The paper is concerned with modelling the variations in layer thickness which may occur as a paint layer dries. A systematic derivation is provided of a model based on classical lubrication theory for a drying paint layer consisting of a non-volatile resin and a volatile solvent. The effects of variable surface tension, viscosity, solvent diffusivity and solvent evaporation rate are included in the model. Then the model is used to analyse the evolution of small perturbations to the thickness of, and the concentration of solvent in, a drying paint layer.
Mathematics Subject Classification ID: 76A99
Mathematics Subject Classification ID: 76D99
zbMATH DE Number: 1180383
zbMATH Keywords: solvent-based high-gloss alkyd paints
zbMATH Keywords: thin viscous films
zbMATH Keywords: lubrication theory
zbMATH Keywords: non-volatile resin
zbMATH Keywords: volatile solvent
zbMATH Keywords: effects of variable surface tension
zbMATH Keywords: solvent diffusivity
zbMATH Keywords: solvent evaporation
zbMATH Keywords: evolution of small perturbations
MaRDI profile type: Publication
full work available at URL: a:1004224014291
OpenAlex ID: W1662299651
description: scientific article; zbMATH DE number 1180383