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Colebrook–White Equation for Pipe Roughness

The Colebrook–White equation expresses the Darcy friction factor as a function of the Reynolds number and pipe relative roughness, fitting the data of experimental studies of turbulent flow in smooth and rough pipes.

The relative pipe roughness equals the pipe roughness height divided by the hydraulic diameter.

Formula

QuantityVariable["K", "Unitless"] == QuantityVariable["ε", "Height"]/QuantityVariable["D", "Diameter"]

symbol description physical quantity
K relative pipe roughness "Unitless"
D hydraulic diameter "Diameter"
ε pipe roughness height "Height"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Colebrook\[Dash]White Equation for Pipe Roughness"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Colebrook\[Dash]White Equation for Pipe Roughness"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Colebrook\[Dash]White Equation for Pipe Roughness"], \ {QuantityVariable["D","Diameter"] -> Quantity[0.5`, "Meters"]}]
Out[3]=

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