A mathematical model for drying paint layers
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.
scientific article; zbMATH DE number 1180383