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Bond Number

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

The Bond number equals the product of the square of the characteristic length, difference in densities of the substances and the gravitational acceleration divided by the surface tension.

Formula

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

symbol description physical quantity
Bo Bond number "BondNumber"
l characteristic length "Length"
γ surface tension "SurfaceTension"
Δ​ρ density difference "MassDensity"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Bond Number"], {QuantityVariable["l","Length"] -> Quantity[1, "Meters"], QuantityVariable["\[Gamma]","SurfaceTension"] -> Quantity[1, ("Newtons")/("Meters")]}]
Out[3]=

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