CONTINUITY EQUATION (Q = A × v)

Pipe Flow Rate Calculator

Calculate volumetric flow rate (GPM, L/min, L/s) and fluid velocity from internal pipe dimensions and velocity limits.

Presets:
Calculated Result

Flow Delivery

Estimated Flow Rate (Q)
12.24 US Gallons / min (GPM)
≈ 46.333 L/min
Your pipe with an internal diameter of 1.00 inches has a cross-sectional area of 0.7854 in² (506.71 mm²). At a fluid velocity of 5.00 ft/s, the volumetric flow rate is 12.24 GPM.

Flow Rate Conversions

US Gallons / min 12.24 GPM
Litres / min 46.333 L/min
Litres / sec 0.7722 L/s
Cubic Feet / min 1.636 CFM
Cubic Metres / hr 2.78 m³/h
Cubic Metres / sec 7.722e-4 m³/s
Internal Flow Area 0.785 in² (506.7 mm²)
Fluid Velocity 5.00 ft/s (1.52 m/s)

Flow results depend on internal pipe diameter and velocity. For actual installations, consider system head loss and friction fittings.

About the Pipe Flow Rate Calculator

Continuity Equation

The Pipe Flow Rate Calculator computes volumetric discharge (Gallons Per Minute, L/s, CFS) and fluid velocity (ft/s, m/s) based on pipe inside diameter and flow speed.

Plumbing codes recommend maintaining fluid velocity between 4 to 8 ft/s (1.2 to 2.4 m/s). Velocities below 2 ft/s allow solids to settle, while velocities above 8–10 ft/s cause pipe erosion, cavitation, and severe water hammer.

Sizing copper tubing velocity limits? Check our copper pipe flow rate calculator, calculate gravity DWV fall with the drain pipe slope calculator, or calculate fixture load with the DFU calculator.

How to Use the Calculator

  1. Select Target Mode: Choose to calculate Flow Rate (from velocity & size), Velocity (from flow & size), or Minimum Pipe Diameter (from flow & max velocity).
  2. Input Pipe Diameter: Enter the actual Inside Diameter (ID) in inches or millimeters.
  3. Input Fluid Velocity or Target Flow: Enter desired velocity (e.g. 5 ft/s for water distribution) or target GPM.
  4. Review Velocity Compliance: Check calculated volumetric flow rate and confirm whether velocity falls within safe code ranges.

Hydraulic Continuity & Flow Rate Reference

Volumetric discharge is governed by fluid velocity ($v$) and internal cross-sectional area ($A$):

Q = A × v  |  GPM = 2.448 × (ID in inches)² × (Velocity in ft/s)

Schedule 40 PVC & Steel Flow Capacities

Nominal Size Inside Dia Area (in²) Flow @ 4 ft/s Flow @ 6 ft/s Flow @ 8 ft/s
1/2" Sch 40 0.622" 0.304 in² 3.79 GPM 5.68 GPM 7.58 GPM
3/4" Sch 40 0.824" 0.533 in² 6.65 GPM 9.97 GPM 13.30 GPM
1" Sch 40 1.049" 0.864 in² 10.78 GPM 16.16 GPM 21.55 GPM
1-1/2" Sch 40 1.610" 2.036 in² 25.38 GPM 38.07 GPM 50.76 GPM
2" Sch 40 2.067" 3.356 in² 41.84 GPM 62.77 GPM 83.69 GPM
3" Sch 40 3.068" 7.393 in² 92.17 GPM 138.25 GPM 184.34 GPM

Dedicated Calculators by Flow Rate Size

Real-World Calculation Example

Scenario: Sizing a 1.5-Inch Schedule 40 Irrigation Header

Determining flow capacity for a 1.5-inch Schedule 40 PVC pipe (Inside Diameter = 1.610 inches) at a design velocity of 5.0 ft/s.

Inside Diameter
1.610 in
Flow Velocity
5.0 ft/s
Discharge Rate
31.7 GPM
Metric Flow
2.00 L/s

• Flow Formula: Q = 2.448 × (1.610)² × 5.0 = 31.73 GPM
• Metric Equivalent: 31.73 × 0.06309 = 2.00 Litres/second

Expert FAQ Guide

Frequently Asked Questions

6 Questions Answered
Q1 How do I calculate pipe flow rate?

To calculate pipe flow rate, multiply the internal cross-sectional area of the pipe (A = π × D² / 4) by the average fluid velocity (v) using the continuity equation: Q = A × v.

Q2 What is the formula for pipe flow rate in GPM?

When internal diameter (ID) is in inches and velocity (v) in ft/s: GPM = 2.448 × (ID in inches)² × (Velocity in ft/s).

Q3 What is maximum recommended water velocity in copper and PEX pipes?

Plumbing codes recommend a maximum velocity of 5 to 8 ft/s (1.5 to 2.4 m/s) for cold water lines and 4 to 5 ft/s (1.2 to 1.5 m/s) for hot water lines to prevent erosion corrosion and hydraulic noise.

Q4 How do I convert flow rate from GPM to Litres per minute?

Multiply US GPM by 3.78541 to obtain Litres per minute (L/min). For example, 10 GPM = 37.85 L/min.

Q5 Why does pipe material affect flow velocity?

Different pipe materials (copper, PEX, PVC) have different wall thicknesses and roughness coefficients, altering actual internal diameter and friction loss.

Q6 How do I find required pipe diameter from desired flow rate and velocity?

Rearrange the continuity equation: Internal Area A = Q / v, then solve for inside diameter: ID = 2 × √(A / π). Select the next standard nominal pipe size with an equal or greater ID.

Copied to clipboard!