Plumbing & Fluid

Friction Factor Calculator

Compare Darcy and Fanning friction factors from Reynolds number and relative roughness. Compare SI/US results and review the method, assumptions and related references below.

Change any input to update the calculation. Unit changes preserve the physical quantity.

CALCULATION SETUP

Inputs

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Results

Darcy friction factor

0.0218

Fanning friction factor

0.0055

Relative roughness ε/D

0.0009

Haaland / regime-model comparison

0.0216

Approximation difference

-1.0009 %

Calculation breakdown

Result interpretation
Compare Darcy and Fanning friction factors from Reynolds number and relative roughness

Assumptions & checks

Full circular-pipe Newtonian flow only. Transition is uncertain; below Re 4000 the comparison repeats the regime model instead of presenting a turbulent approximation.

Formula

Compare Darcy and Fanning friction factors from Reynolds number and relative roughness

Darcy f=64/Re in laminar flow; 1/√f=−2log10(ε/(3.7D)+2.51/(Re√f)) in turbulent flow. Fanning fF=fD/4. Haaland comparison is used only at Re≥4000. Worked example: At Re=1000, the Darcy factor is 0.064 and the Fanning factor is 0.016, independent of entered roughness in the laminar model.

Worked example

Using the default values shown in the calculator, the same formula gives the following result. This is a quick sanity check for the calculation, not a design recommendation.

Inputs

Reynolds number
100000
Actual inside diameter
50 mm
Absolute roughness
0.045 mm

Result

Darcy friction factor
0.0218
Fanning friction factor
0.0055
Relative roughness ε/D
0.0009
Haaland / regime-model comparison
0.0216
Approximation difference
-1.0009 %

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Frequently asked questions

What does this result tell me?

Full circular-pipe Newtonian flow only. Transition is uncertain; below Re 4000 the comparison repeats the regime model instead of presenting a turbulent approximation.

How can I check the calculation?

Worked example: At Re=1000, the Darcy factor is 0.064 and the Fanning factor is 0.016, independent of entered roughness in the laminar model. Review each stated input and unit; use project-specific values rather than treating the editable example as a requirement.

Reference data & method sources

VALICALC · PRIVACY