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Weber number : ウィキペディア英語版
Weber number

The Weber number (We) is a dimensionless number in fluid mechanics that is often useful in analysing fluid flows where there is an interface between two different fluids, especially for multiphase flows with strongly curved surfaces. It is named after Moritz Weber (1871–1951). It can be thought of as a measure of the relative importance of the fluid's inertia compared to its surface tension. The quantity is useful in analyzing thin film flows and the formation of droplets and bubbles.
==Mathematical expression==
The Weber number may be written as:
:\mathrm = \frac  
where
* \rho is the density of the fluid (kg/m3).
* ''v'' is its velocity (m/s).
* ''l'' is its characteristic length, typically the droplet diameter (m).
* \sigma is the surface tension (N/m).
The modified Weber number,
:\mathrm^
*=\frac  
equals the ratio of the kinetic energy on impact to the surface energy,
:\mathrm^
*=\frac},
where
:E_\mathrm=\frac  
and
:E_\mathrm=\pi l^2 \sigma.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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