Richardson Number
The Richardson number is the dimensionless number that expresses the ratio of the buoyancy term to the flow shear term.
The Richardson number equals the gravitational acceleration times the characteristic height divided by the characteristic speed squared.
Formula
![Copy to Clipboard QuantityVariable["Ri", "RichardsonNumber"] == (QuantityVariable["g", "GravitationalAcceleration"]*QuantityVariable["h", "Radius"])/QuantityVariable["u", "Speed"]^2](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/ad7/ad76b34f-a400-4214-b696-fb16db5b4d1b/Webpage/FormulaImage.png)
| symbol | description | physical quantity | 
|---|---|---|
| Ri | Richardson number | "RichardsonNumber" | 
| g | gravitational acceleration | "GravitationalAcceleration" | 
| h | characteristic height | "Radius" | 
| u | characteristic speed | "Speed" | 
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Richardson Number"]](images/ad7/ad76b34f-a400-4214-b696-fb16db5b4d1b-io-1-i.en.gif) | 
| Out[1]= |  | 
Get the formula:
| In[2]:= | ![FormulaData[ResourceObject["Richardson Number"]]](images/ad7/ad76b34f-a400-4214-b696-fb16db5b4d1b-io-2-i.en.gif) | 
| Out[2]= |  | 
Use some values:
| In[3]:= | ![FormulaData[
 ResourceObject[
  "Richardson Number"], {QuantityVariable["Ri","RichardsonNumber"] -> 
   1, QuantityVariable["g","GravitationalAcceleration"] -> 
   Quantity[1, "StandardAccelerationOfGravity"], 
  QuantityVariable["h","Radius"] -> Quantity[10, "Centimeters"]}]](images/ad7/ad76b34f-a400-4214-b696-fb16db5b4d1b-io-3-i.en.gif) | 
| Out[3]= |  | 
 
                 
                