dorsal/arxiv
View SchemaSimple Viscous Flows: from Boundary Layers to the Renormalization Group
| Authors | John Veysey, Nigel Goldenfeld |
|---|---|
| Categories | |
| ArXiv ID | physics/0609138 |
| URL | https://arxiv.org/abs/physics/0609138 |
| DOI | 10.1103/RevModPhys.79.883 |
Abstract
The seemingly simple problem of determining the drag on a body moving through a very viscous fluid has, for over 150 years, been a source of theoretical confusion, mathematical paradoxes, and experimental artifacts, primarily arising from the complex boundary layer structure of the flow near the body and at infinity. We review the extensive experimental and theoretical literature on this problem, with special emphasis on the logical relationship between different approaches. The survey begins with the developments of matched asymptotic expansions, and concludes with a discussion of perturbative renormalization group techniques, adapted from quantum field theory to differential equations. The renormalization group calculations lead to a new prediction for the drag coefficient, one which can both reproduce and surpass the results of matched asymptotics.
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"abstract": "The seemingly simple problem of determining the drag on a body moving through\na very viscous fluid has, for over 150 years, been a source of theoretical\nconfusion, mathematical paradoxes, and experimental artifacts, primarily\narising from the complex boundary layer structure of the flow near the body and\nat infinity. We review the extensive experimental and theoretical literature on\nthis problem, with special emphasis on the logical relationship between\ndifferent approaches. The survey begins with the developments of matched\nasymptotic expansions, and concludes with a discussion of perturbative\nrenormalization group techniques, adapted from quantum field theory to\ndifferential equations. The renormalization group calculations lead to a new\nprediction for the drag coefficient, one which can both reproduce and surpass\nthe results of matched asymptotics.",
"arxiv_id": "physics/0609138",
"authors": [
"John Veysey",
"Nigel Goldenfeld"
],
"categories": [
"physics.flu-dyn",
"cond-mat.soft",
"math.AP"
],
"doi": "10.1103/RevModPhys.79.883",
"title": "Simple Viscous Flows: from Boundary Layers to the Renormalization Group",
"url": "https://arxiv.org/abs/physics/0609138"
},
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