Suppression and reversal of drop formation in a model paint film
Suppression and reversal of drop formation in a model paint film
When a paint film is applied to the underside of a horizontal substrate, instabilities will lead to the formation of pendant drops. For sufficiently thick coatings, the drops may even detach from the coating before the coating dries. But even for thin paint films, with sufficiently high evaporation rates and viscosity, drop formation will lead to coating irregularities with thick regions (corresponding to the center of the drop) adjacent to much thinner regions (corresponding to troughs between drops.) In this paper we present a mathematical and numerical model based on the lubrication approximations for the drying of paint films on the underside of horizontal substrates. The paint is modeled as a multicomponent liquid with one non-volatile and one volatile component, termed the "resin" and "solvent" respectively. Our model includes the effects of surface tension and gravitational forces, and we show that surface tension gradient effects due to solvent evaporation must be considered to correctly model the post-application flow of certain paints. Simulations are given for an array of parameters, and they show that surface tension gradients can dramatically affect the post-application behavior of a model paint film, generally causing the suppression and reversal in drop growth, consequently leading to a more even final coating layer.
3D numerical simulation, thin liquid films, drop formation, surface tension gradients
1-30
Weidner, David E.
bdceab60-6cb0-4786-a056-2ef65379056b
Schwartz, Leonard W.
b97b8172-f2f5-4d20-a5a8-c9ba64117dd3
Eres, Murat H.
b22e2d66-55c4-46d2-8ec3-46317033de43
2007
Weidner, David E.
bdceab60-6cb0-4786-a056-2ef65379056b
Schwartz, Leonard W.
b97b8172-f2f5-4d20-a5a8-c9ba64117dd3
Eres, Murat H.
b22e2d66-55c4-46d2-8ec3-46317033de43
Weidner, David E., Schwartz, Leonard W. and Eres, Murat H.
(2007)
Suppression and reversal of drop formation in a model paint film.
Chemical Product and Process Modeling, 2 (3), .
(doi:10.2202/1934-2659.1078).
Abstract
When a paint film is applied to the underside of a horizontal substrate, instabilities will lead to the formation of pendant drops. For sufficiently thick coatings, the drops may even detach from the coating before the coating dries. But even for thin paint films, with sufficiently high evaporation rates and viscosity, drop formation will lead to coating irregularities with thick regions (corresponding to the center of the drop) adjacent to much thinner regions (corresponding to troughs between drops.) In this paper we present a mathematical and numerical model based on the lubrication approximations for the drying of paint films on the underside of horizontal substrates. The paint is modeled as a multicomponent liquid with one non-volatile and one volatile component, termed the "resin" and "solvent" respectively. Our model includes the effects of surface tension and gravitational forces, and we show that surface tension gradient effects due to solvent evaporation must be considered to correctly model the post-application flow of certain paints. Simulations are given for an array of parameters, and they show that surface tension gradients can dramatically affect the post-application behavior of a model paint film, generally causing the suppression and reversal in drop growth, consequently leading to a more even final coating layer.
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Published date: 2007
Keywords:
3D numerical simulation, thin liquid films, drop formation, surface tension gradients
Organisations:
Computational Engineering & Design Group
Identifiers
Local EPrints ID: 48711
URI: http://eprints.soton.ac.uk/id/eprint/48711
ISSN: 1934-2659
PURE UUID: 1adc6a08-7608-4923-9f91-14c9abf2e59b
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Date deposited: 11 Oct 2007
Last modified: 16 Mar 2024 03:30
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Author:
David E. Weidner
Author:
Leonard W. Schwartz
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