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斯特劳哈尔数

长圆柱绕流中雷诺数与斯特劳哈尔数的关系

斯特劳哈尔数(英语:Strouhal number)是流体力学中用来描述周期性非定常流动的一个无量纲数,以捷克物理学家文岑茨·斯特劳哈尔英语Vincenc Strouhal的名字命名。斯特劳哈尔于1878年研究了旋涡脱落英语Vortex shedding及其产生的风鸣声。[1][2]

斯特劳哈尔数的定义为:

其中为旋涡脱落的频率,为特征长度(如水力直径为翼型厚度),流速

在起伏飞行等情形下,常以振动幅度为特征长度。此时可以得到斯特劳哈尔数与简约频率英语Reduced frequency之间的关系:

其中为简约频率,为起伏的振动幅度。

参考文献

  1. ^ Strouhal, V. (1878) "Ueber eine besondere Art der Tonerregung" (On an unusual sort of sound excitation), Annalen der Physik und Chemie, 3rd series, 5 (10) : 216–251.
  2. ^ White, Frank M. Fluid Mechanics 4th. McGraw Hill. 1999. ISBN 978-0-07-116848-9. 


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斯特劳哈尔数
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