Colebrook friction factor calculator

Calculate colebrook Darcy friction factor and equation residual with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use colebrook Darcy friction factor and equation residual to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Reynolds number
100000
Relative roughness ε/D
0.001
Colebrook Darcy friction factor
0.022175
Equation residual
0

Try another scenario

Reynolds number
110000.00000000001
Relative roughness ε/D
0.001
Colebrook Darcy friction factor
0.021981
Equation residual
0
Calculation method

Calculation method

Colebrook Darcy friction factor

Bisection on x=1/sqrt(f), x+2log10(relativeRoughness/3.7+2.51x/Re)=0.

Equation residual

Bisection on x=1/sqrt(f), x+2log10(relativeRoughness/3.7+2.51x/Re)=0.

Symbols and units
a
Reynolds number
b
Relative roughness ε/D

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Fully turbulent Colebrook model; transition/laminar regimes excluded. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Fully turbulent Colebrook model; transition/laminar regimes excluded.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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