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First Euler Number Using Friction Force

The Euler number is a dimensionless number used in fluid flow calculations. It expresses the relationship between a local pressure drop caused by a restriction and the kinetic energy per volume of the flow, and is used to characterize energy losses in the flow, where a perfect frictionless flow corresponds to an Euler number of 0.

The Euler number equals the friction force divided by the characteristic length squared, characteristic speed squared and the mass density.

Formula

QuantityVariable[Subscript["Eu", "1"], "EulerNumber1"] == QuantityVariable[Subscript["F", "f"], "Force"]/(QuantityVariable["l", "Length"]^2*QuantityVariable["v", "Speed"]^2*QuantityVariable["ρ", "MassDensity"])

symbol description physical quantity
Eu1 first Euler number "EulerNumber1"
l characteristic length "Length"
v characteristic speed "Speed"
ρ mass density "MassDensity"
Ff friction force "Force"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["First Euler Number Using Friction Force"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["First Euler Number Using Friction Force"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "First Euler Number Using Friction Force"], {QuantityVariable[ "\[Rho]","MassDensity"] -> Quantity[1000, ("Kilograms")/("Meters")^3]}]
Out[3]=

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