dorsal/arxiv
View SchemaSwimming, Pumping and Gliding at low Reynolds numbers
| Authors | J. E. Avron, O. Raz |
|---|---|
| Categories | |
| ArXiv ID | physics/0703240 |
| URL | https://arxiv.org/abs/physics/0703240 |
| Journal | 2007 New J. Phys. 9 437 |
Abstract
Simple, linear equations relate microscopic swimmers to the corresponding gliders and pumps. They have the following set of consequences: The swimming velocity of free swimmers can be inferred from the force on the tethered swimmer and vice versa; A tethered swimmer dissipates more energy than a free swimmer; It is possible to swim with arbitrarily high efficiency, but it is impossible to pump with arbitrarily high efficiency and finally that pumping is geometric. We also solve several optimization problems associated with swimming and pumping: The problem of optimal anchoring for a certain class of swimmers that includes the Purcell swimmer and the three linked spheres and the optimal geometries of helices considered as swimmers and pumps.
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"abstract": "Simple, linear equations relate microscopic swimmers to the corresponding\ngliders and pumps. They have the following set of consequences: The swimming\nvelocity of free swimmers can be inferred from the force on the tethered\nswimmer and vice versa; A tethered swimmer dissipates more energy than a free\nswimmer; It is possible to swim with arbitrarily high efficiency, but it is\nimpossible to pump with arbitrarily high efficiency and finally that pumping is\ngeometric. We also solve several optimization problems associated with swimming\nand pumping: The problem of optimal anchoring for a certain class of swimmers\nthat includes the Purcell swimmer and the three linked spheres and the optimal\ngeometries of helices considered as swimmers and pumps.",
"arxiv_id": "physics/0703240",
"authors": [
"J. E. Avron",
"O. Raz"
],
"categories": [
"physics.flu-dyn",
"math-ph",
"math.MP"
],
"journal_ref": "2007 New J. Phys. 9 437",
"title": "Swimming, Pumping and Gliding at low Reynolds numbers",
"url": "https://arxiv.org/abs/physics/0703240"
},
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