Pressure Drop

Darcy-Weisbach & Pipe Friction

Pressure Drop Calculator
Moody diagram or use friction correlations
Standard: 9.81 m/s²
Pressure Drop (Darcy-Weisbach)
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Note: This calculator uses the Darcy-Weisbach equation for major pressure losses. Minor losses (fittings, valves, bends) should be added separately as K × (ρV²/2). For rough pipes, use Colebrook-White or Swamee-Jain equations to determine friction factor.
Quick Friction Factor Lookup
Pipe Material Condition Roughness (ε, mm) Typical f (Re=100k)
Commercial steel New 0.045 0.020
Commercial steel Corroded 0.15-0.25 0.030-0.035
Galvanized iron New 0.15 0.025
Cast iron Aged 0.25-0.8 0.035-0.045
Concrete New 0.3-0.8 0.030-0.035
PVC/Plastic New 0.0015 0.012-0.014
Glass New 0.0015 0.008-0.010
Equations & Definitions
Darcy-Weisbach Equation
ΔP = f × (L/D) × (ρV²/2)
ΔP = Pressure drop (Pa)
f = Darcy friction factor (dimensionless)
L = Pipe length (m)
D = Pipe diameter (m)
ρ = Fluid density (kg/m³)
V = Velocity (m/s)
Colebrook-White Equation (Implicit)
1/√f = -2 log₁₀(ε/(3.7D) + 2.51/(Re√f))
Used for turbulent flow (Re > 4000)
ε = Absolute roughness (m)
Re = Reynolds number (dimensionless)
Swamee-Jain Equation (Explicit)
f = 0.25 / [log₁₀(ε/(3.7D) + 5.74/Re^0.9)]²
Accurate for: 5000 < Re < 10⁸ and 10⁻⁶ < ε/D < 10⁻²
Easier to calculate than Colebrook-White (no iteration needed)
Reynolds Number
Re = (ρVD) / μ
μ = Dynamic viscosity (Pa·s)
Flow classification:
Re < 2300: Laminar
2300 < Re < 4000: Transitional
Re > 4000: Turbulent
Minor Losses (Fittings & Valves)
ΔP_minor = K × (ρV²/2)
K = Loss coefficient (depends on fitting type)
Typical K values:
90° Elbow: K ≈ 0.9
45° Elbow: K ≈ 0.4
Full-open gate valve: K ≈ 0.2
Check valve: K ≈ 2.0
T-junction: K ≈ 0.6-1.0
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