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Rossby Number

The Rossby number is a dimensionless number used in describing fluid flow.

The Rossby number equals the product of the characteristic speed and the cosecant of the latitude divided by the product of twice the characteristic length and the angular frequency.

Formula

QuantityVariable["R o", "Unitless"] == (Csc[QuantityVariable["θ", "Angle"]]*QuantityVariable["v", "Speed"])/(2*QuantityVariable["l", "Length"]*QuantityVariable["ω", "AngularFrequency"])

symbol description physical quantity
R o Rossby number "Unitless"
θ latitude "Angle"
l characteristic length "Length"
v characteristic speed "Speed"
ω angular frequency "AngularFrequency"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Rossby Number"], {QuantityVariable[ "\[Omega]","AngularFrequency"] -> Quantity[0.0026`, ("Radians")/("Seconds")], QuantityVariable["R\[VeryThinSpace]o","Unitless"] -> None}]
Out[3]=

Publisher Information