dorsal/arxiv
View SchemaIntuitive Derivation of Reynolds Number
| Authors | Randall D. Peters, Loren Sumner |
|---|---|
| Categories | |
| ArXiv ID | physics/0306193 |
| URL | https://arxiv.org/abs/physics/0306193 |
Abstract
It is evident from the literature that many engineers describe the Reynolds number qualitatively as ``the ratio of inertial forces to viscous forces''. Yet it is not immediately obvious that the well known expression Re = LV(rho)/(eta), which involves the size L of a solid object moving with speed V relative to a fluid of density rho and viscosity eta--is in fact a ratio of forces. It is hoped that the following treatment, which is based on an energy rather than force perspective, will help to de-mystify the important parameter given to us by Osborne Reynolds
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"abstract": "It is evident from the literature that many engineers describe the Reynolds\nnumber qualitatively as ``the ratio of inertial forces to viscous forces\u0027\u0027. Yet\nit is not immediately obvious that the well known expression Re =\nLV(rho)/(eta), which involves the size L of a solid object moving with speed V\nrelative to a fluid of density rho and viscosity eta--is in fact a ratio of\nforces. It is hoped that the following treatment, which is based on an energy\nrather than force perspective, will help to de-mystify the important parameter\ngiven to us by Osborne Reynolds",
"arxiv_id": "physics/0306193",
"authors": [
"Randall D. Peters",
"Loren Sumner"
],
"categories": [
"physics.class-ph",
"physics.ed-ph",
"physics.flu-dyn"
],
"title": "Intuitive Derivation of Reynolds Number",
"url": "https://arxiv.org/abs/physics/0306193"
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