dorsal/arxiv
View SchemaA correlation between drag and an integral property of the wake
| Authors | T. S. Morton |
|---|---|
| Categories | |
| ArXiv ID | physics/0605209 |
| URL | https://arxiv.org/abs/physics/0605209 |
Abstract
An integral quantity is presented that relates the wake of a body in nominally two-dimensional flow to its drag, for Reynolds numbers ranging from 9,000 to 144,000. It is defined as the ratio of the kinetic energy to the vorticity in the fluid boundary and, for the special case of laminar flow, is proportional to the angular momentum in the wake bubble. The new quantity is useful for correlating drag data for circular and rectangular cylinders, wedges, v-gutters, and normal flat plates with and without splitter plates. The correlation indicates that the drag force is proportional to the flow speed and the mass flow rate stored in the boundary of the fluid, where the fluid boundary is defined so as to include the wake bubble. Order-of-magnitude arguments indicate that, absent any quantization of vortex size, this mass flow rate, and hence the drag force, can become unbounded as the vortices contained in the wake becomes finer.
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"abstract": "An integral quantity is presented that relates the wake of a body in\nnominally two-dimensional flow to its drag, for Reynolds numbers ranging from\n9,000 to 144,000. It is defined as the ratio of the kinetic energy to the\nvorticity in the fluid boundary and, for the special case of laminar flow, is\nproportional to the angular momentum in the wake bubble. The new quantity is\nuseful for correlating drag data for circular and rectangular cylinders,\nwedges, v-gutters, and normal flat plates with and without splitter plates. The\ncorrelation indicates that the drag force is proportional to the flow speed and\nthe mass flow rate stored in the boundary of the fluid, where the fluid\nboundary is defined so as to include the wake bubble. Order-of-magnitude\narguments indicate that, absent any quantization of vortex size, this mass flow\nrate, and hence the drag force, can become unbounded as the vortices contained\nin the wake becomes finer.",
"arxiv_id": "physics/0605209",
"authors": [
"T. S. Morton"
],
"categories": [
"physics.flu-dyn"
],
"title": "A correlation between drag and an integral property of the wake",
"url": "https://arxiv.org/abs/physics/0605209"
},
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"source": {
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