dorsal/arxiv
View SchemaAsymptotic theory for a moving droplet driven by a wettability gradient
| Authors | Len M. Pismen, Uwe Thiele |
|---|---|
| Categories | |
| ArXiv ID | physics/0509260 |
| URL | https://arxiv.org/abs/physics/0509260 |
| DOI | 10.1063/1.2191015 |
| Journal | Phys. Fluids 18, 042104 (2006) |
Abstract
An asymptotic theory is developed for a moving drop driven by a wettability gradient. We distinguish the mesoscale where an exact solution is known for the properly simplified problem. This solution is matched at both -- the advancing and the receding side -- to respective solutions of the problem on the microscale. On the microscale the velocity of movement is used as the small parameter of an asymptotic expansion. Matching gives the droplet shape, velocity of movement as a function of the imposed wettability gradient and droplet volume.
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"abstract": "An asymptotic theory is developed for a moving drop driven by a wettability\ngradient. We distinguish the mesoscale where an exact solution is known for the\nproperly simplified problem. This solution is matched at both -- the advancing\nand the receding side -- to respective solutions of the problem on the\nmicroscale. On the microscale the velocity of movement is used as the small\nparameter of an asymptotic expansion. Matching gives the droplet shape,\nvelocity of movement as a function of the imposed wettability gradient and\ndroplet volume.",
"arxiv_id": "physics/0509260",
"authors": [
"Len M. Pismen",
"Uwe Thiele"
],
"categories": [
"physics.flu-dyn",
"physics.chem-ph"
],
"doi": "10.1063/1.2191015",
"journal_ref": "Phys. Fluids 18, 042104 (2006)",
"title": "Asymptotic theory for a moving droplet driven by a wettability gradient",
"url": "https://arxiv.org/abs/physics/0509260"
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