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单词 Cauchy number
释义

Cauchy number

中文百科

柯西数

柯西数Ca)是流体力学中有关可压缩流的无量纲,得名自法国数学家奥古斯丁·路易·柯西。当可压缩性有显著影响时,在考虑动态相似性的惯性力时,也需要考虑弹力,柯西数是流体惯性力和可压缩力(弹力)比例,可以表示如下:

 \mathrm{Ca} = \frac{\rho v^2}{K},

其中

\rho为流体密度(国际标准制单位:kg/m)
v为局部的流体速度(国际标准制单位:m/s)
K 为体积模量(国际标准制单位:Pa)
英语百科

Cauchy number 柯西数

The Cauchy number (Ca) is a dimensionless number in continuum mechanics used in the study of compressible flows. It is named after the French mathematician Augustin Louis Cauchy. When the compressibility is important the elastic forces must be considered along with inertial forces for dynamic similarity. Thus, the Cauchy Number is defined as the ratio between inertial and the compressibility force (elastic force) in a flow and can be expressed as

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更新时间:2025/6/18 1:00:36