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Boussinesq Number

The Boussinesq number is a dimensionless number representing the square root of the ratio of inertia force to gravitational force.

The Boussinesq number equals half the square of flow velocity divided by the product of the gravitational acceleration and characteristic length of the floor.

Formula

QuantityVariable["Bs", "BoussinesqNumber"] == (Quantity[1/2, "StandardAccelerationOfGravity"^(-1)]*QuantityVariable["w", "Speed"]^2)/QuantityVariable["l", "Length"]

symbol description physical quantity
Bs Boussinesq number "BoussinesqNumber"
l characteristic length "Length"
w flow velocity "Speed"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Boussinesq Number"], {QuantityVariable["l","Length"] -> Quantity[10, "Centimeters"], QuantityVariable["w","Speed"] -> Quantity[5, ("Meters")/("Seconds")]}]
Out[3]=

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