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Richardson number : ウィキペディア英語版
Richardson number
The Richardson number (Ri) is named after Lewis Fry Richardson (1881 – 1953). It is the dimensionless number that expresses the ratio of the buoyancy term to the flow gradient term:〔(Enciclopedia Britannica: Richardson number )〕
:
\mathrm = \frac} = \frac \frac

where ''g'' is the external body force,
ρ is density,
''L'' a representative vertical lengthscale,
and ''U'' a representative flow speed.
The Richardson number, or one of several variants, is of practical importance in weather forecasting and in investigating density and turbidity currents in oceans, lakes, and reservoirs.
When considering flows in which density differences are small (the
Boussinesq approximation), it is common to use the reduced gravity
''g' '' and the relevant parameter is the densimetric Richardson number
:
\mathrm = \frac \frac

which is used frequently when considering atmospheric or oceanic flows.
If the Richardson number is much less than unity, buoyancy is unimportant
in the flow. If it is much greater than unity, buoyancy is dominant (in
the sense that there is insufficient kinetic energy to homogenize the fluids).
If the Richardson number is of order unity, then the flow is likely to
be buoyancy-driven: the energy of the flow derives from the potential energy in the system originally.
== Aviation ==

In aviation, the Richardson number is used as a rough measure of expected air turbulence. A lower value indicates a higher degree of turbulence. Values in the range 10 to 0.1 are typical, with values below unity indicating significant turbulence.

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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