Hydraulics & drainage · Pipes & hydraulic structures
Pressure pipe head loss (Darcy & Hazen–Williams) calculator
Friction factor, head loss by Darcy–Weisbach and Hazen–Williams, and velocity for a full pressure pipe.
Standard: Darcy–Weisbach with Swamee–Jain · Hazen–Williams
Open the live calculator → All hydraulics & drainage calculators
Inputs in the worked example
The live calculator starts with these values; change any of them and every result, check and diagram updates instantly.
| Input | Value | Unit |
|---|---|---|
| Flow | 50 | L/s |
| Internal diameter | 250 | mm |
| Length | 800 | m |
| Roughness ks | 0.15 | mm |
| Hazen–Williams C | 130 | |
| Kinematic viscosity | 0.000001 | m²/s |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Velocity | 1.02 | m/s |
| Reynolds | 254,648 | |
| Swamee–Jain f | 0.019 | |
| Darcy hf = f L V²/(2gD) | 3.23 | m |
| Hazen–Williams 10.67 L Q^1.852/(C^1.852 D^4.87) | 3.46 | m |
- ✓ Velocity 0.6–3 m/s
Method, formulas and assumptions
- Velocity = 50/1000/(PI()*(250/1000)^2/4) = 1.0186 m/s
- Reynolds = 1.0186*250/1000/1.000e-6 = 2.546e+5
- Swamee–Jain f = 0.25/LOG10(0.15/(3.7*250)+5.74/2.546e+5^0.9)^2 = 0.019088
- Darcy hf = f L V²/(2gD) = 0.019088*800*1.0186^2/(2*9.81*250/1000) = 3.2301 m
- Hazen–Williams 10.67 L Q^1.852/(C^1.852 D^4.87) = 10.67*800*(50/1000)^1.852/(130^1.852*(250/1000)^4.87) = 3.4575 m
Related hydraulics & drainage calculators
- Partially full pipe (Manning) — Flow area, wetted perimeter, discharge and velocity at a given depth ratio in a circular pipe, and full-bore…
- Weir discharge (sharp & broad crested) — Rectangular sharp-crested weir Q = Cd(2/3)√(2g) b H^1.5 and broad-crested Q = 1.705 b H^1.5.
- Orifice outlet — Discharge of an orifice under head and the orifice size for a target flow.
- Stormwater pipe network (QUDM rational method) — Minor drainage network laid out as pits draining to a downstream pit (0 = outlet), listed upstream first…
- Grassed swale and bioretention basin — A trapezoidal grassed swale conveying the treatment flow and the major flow to a bioretention basin. Normal…
- Kerb and channel flow spread and kerb inlets — Flow in a kerb and channel with a depressed gutter: spread T from Izzard's equation with the…
For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.