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Cauchy Number

The Cauchy number is a dimensionless number in continuum mechanics used in the study of compressible flows.

The Cauchy number equals the square of the characteristic speed times the mass density divided by the bulk modulus.

Formula

QuantityVariable["Ca", "CauchyNumber"] == (QuantityVariable["v", "Speed"]^2*QuantityVariable["ρ", "MassDensity"])/QuantityVariable["K", "BulkModulus"]

symbol description physical quantity
Ca Cauchy number "CauchyNumber"
K bulk modulus "BulkModulus"
v characteristic speed "Speed"
ρ mass density "MassDensity"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Cauchy Number"], {QuantityVariable["Ca","CauchyNumber"] -> 1, QuantityVariable["v","Speed"] -> Quantity[1, ("Meters")/("Seconds")]}]
Out[3]=

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