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Intuitive Derivation of Reynolds Number

Classical Physics 2007-05-23 v1 Physics Education Fluid Dynamics

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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Cite

@article{arxiv.physics/0306193,
  title  = {Intuitive Derivation of Reynolds Number},
  author = {Randall D. Peters and Loren Sumner},
  journal= {arXiv preprint arXiv:physics/0306193},
  year   = {2007}
}

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