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Atwood Number

The Atwood number is a dimensionless number in fluid dynamics used in the study of hydrodynamic instabilities in density-stratified flows.

The Atwood number equals the ratio of the difference in mass densities to their sum.

Formula

QuantityVariable["A", "AtwoodNumber"] == (QuantityVariable[Subscript["ρ", "1"], "MassDensity"] - QuantityVariable[Subscript["ρ", "2"], "MassDensity"])/(QuantityVariable[Subscript["ρ", "1"], "MassDensity"] + QuantityVariable[Subscript["ρ", "2"], "MassDensity"])

symbol description physical quantity
A Atwood number "AtwoodNumber"
ρ1 fluid density "MassDensity"
ρ2 fluid density of lighter fluid "MassDensity"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ResourceObject["Atwood Number"], {QuantityVariable[ \!\(\*SubscriptBox[\("\[Rho]"\), \("2"\)]\),"MassDensity"] -> Quantity[1200, ("Kilograms")/("Meters")^3]}]
Out[3]=

Publisher Information