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Ekman Number

The Ekman number is a dimensionless number used in fluid dynamics to describe the ratio of viscous forces to Coriolis forces.

The Ekman number equals the kinematic viscosity divided by the angular velocity and the square of the characteristic length.

Formula

QuantityVariable["Ek", "EkmanNumber"] == QuantityVariable["ν", "KinematicViscosity"]/(QuantityVariable["l", "Length"]^2*QuantityVariable["Ω", "AngularVelocity"])

symbol description physical quantity
Ek Ekman number "EkmanNumber"
l characteristic length "Length"
ν kinematic viscosity "KinematicViscosity"
Ω angular velocity "AngularVelocity"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Ekman Number"], {QuantityVariable[ "\[CapitalOmega]","AngularVelocity"] -> Quantity[1, ("Radians")/("Seconds")], QuantityVariable["\[Nu]","KinematicViscosity"] -> Quantity[1, ("Meters")^2/("Seconds")], QuantityVariable["Ek","EkmanNumber"] -> 1}]
Out[3]=

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