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Fluid mechanics

Darcy or Fanning Factor: Read the Correlation Convention

A friction-factor number needs its convention. Otherwise a correct-looking pressure-loss calculation can carry a fourfold error.

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A friction-factor number needs its convention. Otherwise a correct-looking pressure-loss calculation can carry a fourfold error.

Identify the Physical Basis

The Darcy and Fanning factors are different definitions: f_D = 4f_F. AFT’s verification example explicitly converts a Fanning factor to the Darcy-Weisbach convention by multiplying by four. For incompressible pipe-loss bookkeeping, Δp = f_D(L/D)(ρv²/2) uses the Darcy factor; an equation written with 4f_F is equivalent when its other assumptions match.

Work Through an Example

Suppose a hypothetical calculation has L/D = 100 and ρv²/2 = 500 Pa. A Darcy factor of 0.020 gives Δp = 1,000 Pa. The corresponding Fanning factor is 0.005. Substituting 0.005 directly into the Darcy expression gives only 250 Pa. The fluid and geometry did not improve; only the definition was mismatched.

Use the Result in the Review

When copying a coefficient from a handbook, software report or supplier calculation, copy the defining equation too. The symbol f alone is insufficient. Add a convention column to the worksheet and keep its source page or software setting. A comparison should normalize the definitions before debating the final pressure number. The same discipline applies when an equivalent-length method contains a friction factor.

For an interface discussion around a processing tank, submit the route calculation with its stated convention. Do not apply this arithmetic as a complete gas-flow method: compressibility and changing velocity can require additional treatment. Conversion of a definition fixes consistency; it does not validate the rest of the hydraulic model.

Which friction-factor convention is compatible with the selected pressure-loss equation?

This blank worksheet is for your own project. It contains no H M machine trial result.

Which friction-factor convention is compatible with the selected pressure-loss equation?
Review fieldReference or resultResponsible person
Factor source and defining equationTo completeTo complete
Darcy or Fanning conventionTo completeTo complete
Geometry and velocity-pressure termTo completeTo complete
Normalized result and model assumptionsTo completeTo complete

Customer Questions

Can the symbol λ identify Darcy automatically?

Check the source definition; a symbol alone is weak evidence.

Should I multiply every factor by four?

Only when converting a Fanning value to the Darcy definition.

Will convention correction resolve all loss disagreements?

No. Diameter, properties, roughness and model scope may also differ.

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Primary References

These references support the technical principles discussed in this guide. The worked examples and review questions are educational.

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