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First Knudsen Number

The Knudsen number is a dimensionless number defined as the ratio of the molecular mean free path length to a representative physical length scale.

The first Knudsen number equals the mean free path divided by the characteristic length.

Formula

QuantityVariable[Subscript["Kn", "1"], "KnudsenNumber1"] == QuantityVariable[Subscript["l", "mfp"], "MeanFreePath"]/QuantityVariable["l", "Length"]

symbol description physical quantity
Kn1 first Knudsen number "KnudsenNumber1"
l characteristic length "Length"
lmfp mean free path "MeanFreePath"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["First Knudsen Number"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["First Knudsen Number"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject["First Knudsen Number"], {QuantityVariable[ \!\(\*SubscriptBox[\("Kn"\), \("1"\)]\),"KnudsenNumber1"] -> 1, QuantityVariable[ \!\(\*SubscriptBox[\("l"\), \("mfp"\)]\),"MeanFreePath"] -> Quantity[1, "Meters"]}]
Out[3]=

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