dorsal/arxiv
View SchemaA Lubrication Model of Coating Flows over a Curved Substrate in Space
| Authors | R. Valery Roy, A. J. Roberts, M. E. Simpson |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9705002 |
| URL | https://arxiv.org/abs/patt-sol/9705002 |
Abstract
Consider the three-dimensional flow of a viscous Newtonian fluid upon an abitrarily curved substrate when the fluid film is thin as occurs in many draining, coating and biological flows. We derive a model of the dynamics of the film, the model being expressed in terms of the film thickness and the curvature tensor of the substrate. The model accurately includes the effects of the curvature of the substrate, via a physical multiple-scale approach, and gravity and inertia, via more rigorous centre manifold techniques. Numerical simulations exhibit some generic features of the dynamics of such thin fluid films on substrates with complex curvature.
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"abstract": "Consider the three-dimensional flow of a viscous Newtonian fluid upon an\nabitrarily curved substrate when the fluid film is thin as occurs in many\ndraining, coating and biological flows. We derive a model of the dynamics of\nthe film, the model being expressed in terms of the film thickness and the\ncurvature tensor of the substrate. The model accurately includes the effects of\nthe curvature of the substrate, via a physical multiple-scale approach, and\ngravity and inertia, via more rigorous centre manifold techniques. Numerical\nsimulations exhibit some generic features of the dynamics of such thin fluid\nfilms on substrates with complex curvature.",
"arxiv_id": "patt-sol/9705002",
"authors": [
"R. Valery Roy",
"A. J. Roberts",
"M. E. Simpson"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "A Lubrication Model of Coating Flows over a Curved Substrate in Space",
"url": "https://arxiv.org/abs/patt-sol/9705002"
},
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"execution_id": "232f2684-7856-4654-bd73-0074ece0e624",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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