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Pipe Flow, Head Loss & Pressure Drop Calculator

Calculate Darcy-Weisbach friction head loss, pressure drop (kPa / PSI), and volumetric flow rate

Pipe Hydraulics & Friction Loss

Volumetric Flow Rate & Head Loss

Solves fluid continuity Q = A · v, mass transfer rates, and Darcy-Weisbach friction head loss in circular conduits.

Standard Pipes:
3.94 inches
6.6 ft/s
164 ft
Standard: 0.015 - 0.03
Water: 1000 kg/m³
Longitudinal Pipe Velocity Profile & Darcy Friction Lossv_max = 3.0 m/sQ = 15.71 L/sMean v = 2 m/sD = 100 mmConduit Length L = 50 m | Friction Head Loss h_f = 2.04 m (20 kPa)
Volumetric Flow Rate (Discharge Q)
15.71 L/s
Equivalent to 56.55 m³/h | 249 US GPM (207.3 Imp GPM)
Darcy Head Loss (h_f)2.04 m6.69 ft of fluid head
Frictional Pressure Drop (ΔP)20 kPa2.9 psi (0.2 bar)
Hydraulic Power Required0.314 kW0.421 HP pumping energy
Governing Continuity & Energy Loss Equations

Cross Area A = π·D² / 4 = π·(0.1 m)² / 4 = 0.007854 m² (78.54 cm²)

Discharge Q = A · v = 0.007854 m² × 2 m/s = 15.71 L/s (56.55 m³/h or 249 US GPM)

Darcy-Weisbach h_f = f · (L/D) · (v²/2g) = 0.02 × (50/0.1) × (2² / 19.61) = 2.04 m head (20 kPa)

About Pipe Flow, Head Loss & Pressure Drop Calculator

Calculate fluid friction head loss (h_f) and line pressure drop (ΔP) through commercial pipes using the Darcy-Weisbach equation with explicit Swamee-Jain friction factors. Computes volumetric flow in m³/h and US GPM.

Key Capabilities & Features

  • Darcy-Weisbach head loss formula with explicit Swamee-Jain friction factor algorithm
  • Calculates friction head loss (meters of fluid) and pressure drop (kPa and PSI)
  • Computes volumetric discharge in cubic meters per hour (m³/h) and US Gallons per Minute (GPM)
  • Roughness presets for PVC/plastic, commercial carbon steel, cast iron, and corroded piping
  • Covers laminar, transitional, and fully turbulent hydraulic regimes

How to Use Pipe Flow, Head Loss & Pressure Drop Calculator

1

Set Pipe Dimensions

Enter inside pipe diameter (mm) and total one-way run length (meters).

2

Input Velocity or Flow

Set design flow velocity (e.g. 1.5 to 2.0 m/s for water service).

3

Review Pressure Loss

Inspect total head loss in meters and line pressure drop in kPa and PSI.

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Frequently Asked Questions

What is the Darcy-Weisbach equation?

The Darcy-Weisbach equation calculates head loss due to pipe friction: h_f = f · (L / D) · (v² / 2g), where f is the Darcy friction factor, L is pipe length, D is diameter, v is velocity, and g is gravitational acceleration.

What is a typical design water velocity in piping?

For commercial building and industrial water piping, velocities are typically maintained between 1.2 m/s and 2.4 m/s (4 to 8 ft/s) to prevent both pipe erosion and sediment deposition.