Skip to main content

Darcy-Weisbach Pipe Head Loss & Friction Calculator

Accurately sizing water supply pumps and industrial process piping requires determining hydraulic head loss caused by fluid friction against interior pipe walls.

Straight linear length of pipe in meters.

Internal bore diameter (e.g. 50 mm for ~2-inch pipe).

Fluid velocity (water piping typically targets 1.0 to 2.0 m/s).

Absolute roughness (0.045 mm for commercial carbon steel, 0.0015 mm for PVC/copper).

Calculated Result
2.60 meters (8.54 ft)

Friction Head Loss

Pressure Drop (kPa)

25.48 kPa

Pressure Drop (PSI)

3.70 psi

Darcy Friction Factor

0.0227

Flow Regime

Turbulent (Re: 74,701)

Calculation Breakdown

  1. Reynolds Number EvaluationRe = (1.5 m/s × 0.05 m) ÷ 1.004e-6 m²/s = 74,701 (Turbulent)
  2. Darcy Friction Factor (f)f = 0.0227 via Swamee-Jain turbulent friction correlation
  3. Major Friction Head Loss (h_f)h_f = 0.0227 × (50m ÷ 0.05m) × (1.5² ÷ (2 × 9.807)) = 2.60 m (8.54 ft)

Friction Head Loss (meters) by Velocity (50m of 50mm Pipe)

Interactive visualization based on your current inputs

Calculated Value
0.01.53.14.66.10.5 m/s1.0 m/s1.5 m/s2.0 m/s2.5 m/s

What Is the Darcy-Weisbach Pipe Head Loss & Friction Calculator?

The Darcy-Weisbach equation is the universally accepted standard for calculating major friction head loss in circular pipe conduits.

Head loss represents the energy dissipated per unit weight of fluid as heat due to internal viscous friction and wall shear.

How Does the Darcy-Weisbach Pipe Head Loss & Friction Calculator Work?

Calculates Reynolds number: Re = (v × D) ÷ ν.

Solves the Darcy friction factor f using Swamee-Jain correlation.

Computes head loss in meters and converts to pressure drop in kPa and PSI.

Darcy-Weisbach Pipe Head Loss & Friction Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

h_f = f × (L ÷ D) × (v² ÷ 2g), ΔP = ρ × g × h_f

Darcy-Weisbach head loss equation where friction factor f is determined via the Swamee-Jain explicit solution of the Colebrook-White formula.

How to Use the Darcy-Weisbach Pipe Head Loss & Friction Calculator

  1. Enter pipe length, internal diameter, flow velocity, and surface roughness.
  2. Read friction head loss and required pump pressure differential.

Step-by-Step Example Calculation

50m of 50mm Steel Pipe at 1.5 m/s Velocity

Input Values:

pipeLengthM:50
pipeDiameterMm:50
flowVelocityMs:1.5
pipeRoughnessMm:0.045

Understanding Your Result

Head loss indicates the required pump dynamic head needed to maintain design velocity.

Factors That Affect the Result

  • Minor losses from valves, tees, and elbows (calculate separately as equivalent length).

When Should You Use This Calculator?

  • Hydronic loop pump sizing, municipal water distribution, and irrigation network calculations.

Assumptions & Limitations

  • Full pipe flow under steady conditions.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Swamee-Jain explicit formula matches Colebrook-White within 1%.

Explore more tools and calculators in Math Calculators