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Brownell–Katz Number by Viscosity

The Brownell–Katz number is a combination of capillary number and Bond number.

The Brownell-Katz number increases directly with flow velocity, dynamic viscosity and fluid density. It increases quadratically with increasing characteristic length and decreasing surface tension.

Formula

QuantityVariable["BK", "BrownellKatzNumber"] == (Quantity[1, "StandardAccelerationOfGravity"]*QuantityVariable["l", "Length"]^2*QuantityVariable["w", "Speed"]*QuantityVariable["η", "DynamicViscosity"]*QuantityVariable["ρ", "MassDensity"])/QuantityVariable["γ", "SurfaceTension"]^2

symbol description physical quantity
BK Brownell–Katz number "BrownellKatzNumber"
l characteristic length "Length"
w flow velocity "Speed"
γ surface tension "SurfaceTension"
η dynamic viscosity "DynamicViscosity"
ρ fluid density "MassDensity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Brownell\[Dash]Katz Number by Viscosity"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Brownell\[Dash]Katz Number by Viscosity"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Brownell\[Dash]Katz Number by Viscosity"], {QuantityVariable[ "\[Gamma]","SurfaceTension"] -> Quantity[0.0728`, ("Newtons")/("Meters")]}]
Out[3]=

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