Reynolds Number的直观推导
Intuitive Derivation of Reynolds Number
摘要:
从文献中可以明显看出,许多工程师将雷诺数定性地描述为"惯性力与粘性力之比“。然而,众所周知的表达式Re = LV(rho)/(eta)并不是立即显而易见的,它涉及相对于密度为rho和粘度为eta的流体以速度V移动的固体物体的尺寸L--实际上是力的比率。我们希望,以下的处理,这是基于能量,而不是力的角度来看,将有助于解除神秘的重要参数给我们的奥斯本雷诺兹
英文摘要:
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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