Pipe Friction Loss Calculator — Hazen-Williams Head Loss for Irrigation Pipes

Calculate friction head loss in pressurized irrigation pipes using the Hazen-Williams equation. Enter your pipe diameter, length, flow rate, and roughness coefficient to determine how much pressure your system loses to pipe friction. Accurate friction loss estimates are essential for sizing pumps, selecting pipe diameters, and ensuring adequate pressure at emitters or sprinklers.

Inputs Explained

Pipe Internal Diameter
The inside diameter of the pipe in mm or inches. Use the actual internal diameter, not the nominal pipe size — check manufacturer specs.
Pipe Length
Total length of the pipe run in meters or feet. Include equivalent lengths for fittings if needed.
Flow Rate
Volume of water flowing through the pipe, in L/s, m³/hr, or GPM. Must match actual operating conditions.
C Coefficient (Hazen-Williams)
Pipe roughness factor. New PVC/HDPE: 150, aged PVC: 140, new steel: 130, old unlined metal: 80–100. Higher C = smoother pipe.

How This Calculator Works

Based on: Hazen-Williams equation: hf = 10.67 × Q^1.852 / (C^1.852 × d^4.87) × L
Best for: Pressurized water systems with pipes 50 mm to 1800 mm at normal water temperatures
Check locally: Verify pipe internal diameter from manufacturer data sheets, as nominal and actual diameters differ.
Units supported: Metric (mm, m, L/s, m head), Imperial (in, ft, GPM, ft head)

Worked Example

Sizing a mainline from pump to field for a drip irrigation system

  1. 1. Enter pipe diameter

    75 mm ID (3-inch Schedule 40 PVC).

  2. 2. Enter pipe length

    200 m from pumphouse to field edge.

  3. 3. Enter flow rate

    5 L/s system design flow.

  4. 4. Set C coefficient

    150 for new PVC pipe.

Friction loss ≈ 3.2 m head over 200 m (1.6 m per 100 m). Velocity is 1.13 m/s — within the recommended < 1.5 m/s limit.

How to Interpret Your Results

ConditionWhat It Means
Head loss < 1 m per 100 mLow friction — pipe is adequately sized for the flow rate.
Head loss 1–3 m per 100 mModerate friction — acceptable for laterals but watch pressure at distant emitters.
Head loss 3–5 m per 100 mHigh friction — consider upsizing the pipe, especially for mainlines.
Velocity > 1.5 m/sRisk of water hammer and erosion. Increase pipe diameter to reduce velocity.

Common Mistakes to Avoid

Using nominal pipe size instead of internal diameter

A 4-inch nominal PVC Schedule 40 has an ID of ~102 mm, not 100 mm. Always use the manufacturer's listed ID.

Ignoring the age of the pipe when selecting C

Old unlined steel pipes can drop to C = 80, dramatically increasing friction. Adjust C for pipe age and material.

Forgetting fitting losses

Add equivalent pipe lengths for elbows, tees, and valves. A 90° elbow adds roughly 30 pipe diameters of equivalent length.

Related Calculators

Related Guides

Frequently Asked Questions