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Capillary Number

The capillary number represents the relative effect of viscous forces versus surface tension acting across an interface between a liquid and a gas, or between two immiscible liquids.

The capillary number equals the characteristic speed times the dynamic viscosity divided by the surface tension.

Formula

QuantityVariable[Subscript["Ca", "1"], "CapillaryNumber1"] == (QuantityVariable["v", "Speed"]*QuantityVariable["η", "DynamicViscosity"])/QuantityVariable["γ", "SurfaceTension"]

symbol description physical quantity
Ca1 first capillary number "CapillaryNumber1"
v characteristic speed "Speed"
γ surface tension "SurfaceTension"
η dynamic viscosity "DynamicViscosity"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ResourceObject["Capillary Number"], {QuantityVariable[ \!\(\*SubscriptBox[\("Ca"\), \("1"\)]\),"CapillaryNumber1"] -> 1, QuantityVariable["\[Gamma]","SurfaceTension"] -> Quantity[0.00728`, ("Newtons")/("Meters")], QuantityVariable["v","Speed"] -> Quantity[1, ("Meters")/("Seconds")]}]
Out[3]=

Publisher Information