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Froude Number

The Froude number is a dimensionless number defined as the ratio of the flow inertia to the external field (the latter in many applications simply due to gravity).

The Froude number equals the characteristic speed divided by the square root of the product of the accleration due to gravity and the characteristic length.

Formula

QuantityVariable[Subscript["Fr", "1"], "FroudeNumber1"] == QuantityVariable["v", "Speed"]/Sqrt[Quantity[1, "StandardAccelerationOfGravity"]*QuantityVariable["l", "Length"]]

symbol description physical quantity
Fr1 first Froude number "FroudeNumber1"
l characteristic length "Length"
v characteristic speed "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Froude Number"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Froude Number"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Froude Number"], {QuantityVariable["v","Speed"] -> Quantity[10, ("Meters")/("Seconds")], QuantityVariable[ \!\(\*SubscriptBox[\("Fr"\), \("1"\)]\),"FroudeNumber1"] -> 0.02`}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1868

Publisher Information