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Weber Number

The Weber number is a dimensionless number in fluid mechanics that is often useful in analyzing fluid flows where there is an interface between two different fluids, especially for multiphase flows with strongly curved surfaces.

The Weber number equals the product of the characteristic length, characteristic speed squared and the mass density divided by the surface tension.

Formula

QuantityVariable[Subscript["We", "1"], "WeberNumber1"] == (QuantityVariable["l", "Length"]*QuantityVariable["v", "Speed"]^2*QuantityVariable["ρ", "MassDensity"])/QuantityVariable["γ", "SurfaceTension"]

symbol description physical quantity
We1 first Weber number "WeberNumber1"
l characteristic length "Length"
v characteristic speed "Speed"
γ surface tension "SurfaceTension"
ρ mass density "MassDensity"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ResourceObject["Weber Number"], {QuantityVariable[ \!\(\*SubscriptBox[\("We"\), \("1"\)]\),"WeberNumber1"] -> 2.39`, QuantityVariable["\[Gamma]","SurfaceTension"] -> Quantity[75.2007`, ("Newtons")/("Meters")], QuantityVariable["v","Speed"] -> Quantity[1, ("Meters")/("Seconds")], QuantityVariable["\[Rho]","MassDensity"] -> Quantity[1000, ("Kilograms")/("Meters")^3]}]
Out[3]=

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