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Flow Measurement · Free Calculator

Pipe Pressure Drop Calculator

Calculate the frictional pressure drop in a straight pipe, plus fittings, using the Darcy Weisbach equation.

Darcy WeisbachFriction factorPipe roughnessFittings K
m
ΣK
Total pressure drop0.2637 bar
Pipe friction26.37 kPa
Fittings0 kPa
Head loss2.693 m
Velocity1.691 m/s
Reynolds number172,300
Friction factor f0.01889
How this result was calculated
  1. Re = ρvD/μ = 172,300 (turbulent, Swamee Jain)
  2. f = 0.01889
  3. ΔP = f × (L/D) × ρv²/2 + ΣK × ρv²/2 = 26.37 kPa
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Darcy Weisbach Equation

ΔP = f × (L ÷ D) × ρv² ÷ 2 + ΣK × ρv² ÷ 2
Turbulent: f = 0.25 ÷ [log₁₀(ε/3.7D + 5.74/Re0.9)]²
Laminar: f = 64 ÷ Re

f is the Darcy friction factor (Swamee Jain approximation of Colebrook, within about 1 %), ε the absolute roughness and ΣK the sum of fitting loss coefficients (for example about 0.3 to 0.9 per elbow).

Worked example

50 m³/h of water in 100 m of 4 inch Sch 40 commercial steel: v = 1.69 m/s, Re ≈ 172,000, f ≈ 0.0189, ΔP ≈ 26.4 kPa (0.26 bar).

Key insight: pressure drop rises with roughly the square of flow, and with the fifth power of a smaller diameter. One size up in pipe can cut friction loss by 60 to 70 %.
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Frequently Asked Questions

What is the Darcy friction factor?

A dimensionless factor that depends on Reynolds number and relative roughness; it is four times the Fanning friction factor.

How accurate is the Swamee Jain equation?

It matches the Colebrook equation within about 1 % for 5000 < Re < 10⁸ and typical roughness.

How do I include valves and bends?

Add their K values in the fittings box. For example a fully open gate valve is about 0.15 and a 90° long radius elbow about 0.3.

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