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Titolo:
A MATHEMATICAL-MODEL FOR DRYING PAINT LAYERS
Autore:
HOWISON SD; MORIARTY JA; OCKENDON JR; TERRILL EL; WILSON SK;
Indirizzi:
UNIV STRATHCLYDE,DEPT MATH,LIVINGSTONE TOWER,26 RICHMOND ST GLASGOW G1 1XH LANARK SCOTLAND UNIV STRATHCLYDE,DEPT MATH GLASGOW G1 1XH LANARK SCOTLAND MATH INST,OXFORD CTR IND & APPL MATH OXFORD OX1 3LB ENGLAND BAXTER HEALTHCARE CORP,ADV ENGN DESIGN CTR ROUND LAKE IL 60073 UNIV SOUTHAMPTON,FAC MATH STUDIES SOUTHAMPTON SO9 5NH HANTS ENGLAND
Titolo Testata:
Journal of engineering mathematics
fascicolo: 4, volume: 32, anno: 1997,
pagine: 377 - 394
SICI:
0022-0833(1997)32:4<377:AMFDPL>2.0.ZU;2-B
Fonte:
ISI
Lingua:
ENG
Soggetto:
THERMOSETTING WATERBORNE COATINGS; LIQUID-FILMS; SURFACTANT; EVOLUTION;
Keywords:
MATHEMATICAL MODELING; THIN VISCOUS FILMS; SURFACE-TENSION GRADIENTS; PAINTS; COATINGS;
Tipo documento:
Article
Natura:
Periodico
Citazioni:
16
Recensione:
Indirizzi per estratti:
Citazione:
S.D. Howison et al., "A MATHEMATICAL-MODEL FOR DRYING PAINT LAYERS", Journal of engineering mathematics, 32(4), 1997, pp. 377-394

Abstract

Many industrial processes involve the coating of substrates with thinlayers of paint. This paper is concerned with modelling the variations in layer thickness which may occur as a paint layer dries. Firstly, 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 all included in the model. This analysis makes explicit the validity of the physically intuitive approximations made by earlier authors and hence clarifies when the model is appropriate. Secondly, 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. This analysisprovides an analytical description of the 'reversal' of an initial perturbation to the thickness of the layer and the appearance of a perturbation to an initially flat layer caused by an initial perturbation to the concentration of solvent. Thirdly, it is shown how a simplified version of the model applicable to the case of surface-tension-gradient-dominated flow can be derived and solved as an initial-value problem. Fourthly, the applicability of the present theory developed for solvent-based high-gloss alkyd paints to waterborne coatings is discussed. Finally, the results obtained are summarised and the practical implications of the work are discussed.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 05/12/20 alle ore 01:28:13