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Eötvös Number

The Eötvös number, also called the Bond number, is a dimensionless number measuring the importance of gravitational forces compared to surface tension forces, and is used (together with the Morton number) to characterize the shape of bubbles or drops moving in a surrounding fluid.

The Eo"tvo"s number equals the product of gravitational acceleration, density difference and the characteristic length squared divided by the surface tension.

Formula

QuantityVariable["Eo", "EotvosNumber"] == (Quantity[1, "StandardAccelerationOfGravity"]*QuantityVariable["l", "Length"]^2*QuantityVariable["Δ​ρ", "MassDensity"])/QuantityVariable["γ", "SurfaceTension"]

symbol description physical quantity
Eo Eötvös number "EotvosNumber"
l characteristic length "Length"
γ surface tension "SurfaceTension"
Δ​ρ density difference "MassDensity"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Eötvös Number"], {QuantityVariable["l","Length"] -> Quantity[1, "Meters"]}]
Out[3]=

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