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Engineering Utility • Tool & Pipe Sizing

Flow Velocity Calculator

Free online tool to calculate pipe flow velocity v = Q / (A × PF), the flow rate for a target velocity, or the pipe diameter you need. Supports round and rectangular ducts, sensor profile factors, DN presets and ideal-gas conversion of operating to standard flow.

Check: 400 m³/h • 100mm • PF 0.739 = 19.1 m/s

1. Pipe Geometry & Area (A)

Cross-sectional area of round pipe or rectangular duct

Quick Standard DN Presets:
Formula: A = π × d² / 4Area A = 0.007854 m² (78.54 cm²)

2. Volume Flow Rate (Q)

Standard flow or operating condition data

Standard Reference: 20 °C, 1013.25 hPa (1.01325 bar)= 400.00 m³/h (0.11111 m³/s)

3. Sensor Profile Factor (PF)

Flow velocity distribution coefficient across pipe cross-section

Active Profile Factor:PF = 0.739
Calculation Output
Flow Velocity (v)
19.1m/s
Feet per second62.8 ft/s
Kilometers / hour68.9 km/h
Optimal Velocity (6 – 20 m/s): Within the recommended range for compressed air; good for thermal, vortex and ultrasonic flow meters.
Cross-Section Area (A):0.007854 m²
Profile Factor (PF):0.739
Effective Flow (Q):400.0 m³/h (0.11111 m³/s)

Formula & Step-by-Step Breakdown

// Core Formula:
v = Q / (A × PF)
Combined: v = (4 × Q) / (3600 × π × d² × PF)
Step 1 (Area): A = (π × 0.100²) / 4 = 0.007854 m²
Step 2 (Flow): Q = 400.0 m³/h ÷ 3600 = 0.11111 m³/s
Step 3 (Velocity): v = 0.11111 / (0.007854 × 0.739) = 19.14 m/s

Profile Factor (PF) Guide

Profile factors account for the non-uniform velocity profile in turbulent pipe flow:

  • • PF = 0.739: For models SS 20.2xx, 20.4xx, 20.5xx, and HVAC 100 immersion probes.
  • • PF = 0.804: For models SS 20.6xx and 20.7xx precision sensors.
  • • PF = 1.000: Direct spatial mean average velocity without boundary correction.

Ideal Gas Law Conversion

When converting operating flow (Q_op) to standard conditions (20 °C, 1013.25 hPa):

Q_std = Q_op × [(1.01325 + p_over) / 1.01325] × [293.15 / (T + 273.15)]

Allows seamless normalization between compressed line conditions and standard reference m³/h.

Velocity Guidelines

Recommended industrial velocity standards for industrial fluids:

  • • Compressed Air: 6 – 20 m/s (max 25 m/s)
  • • Saturated Steam: 25 – 40 m/s
  • • Industrial Water / Glycol: 1.5 – 3.0 m/s
  • • Natural Gas / Biogas: 10 – 25 m/s

How to use the flow velocity calculator

The tool solves the same equation three ways. Pick the mode that matches what you know, fill in the inputs, and the result updates as you type. Every result comes with the formula substitution so you can check it or paste it into a sizing report.

1. Calculate velocity

Know the flow rate and the pipe? Enter both to get the line velocity in m/s, ft/s and km/h, rated against the recommended range for air, gas, steam or water. Use this to check an existing line or to confirm a thermal-mass or insertion sensor will see enough velocity.

2. Calculate flow rate

Know the pipe and the velocity a sensor reads? Get the volumetric flow in m³/h, m³/s and L/s. Handy for converting a velocity reading from a probe into a flow figure.

3. Calculate pipe size

Know the flow you must carry and the velocity you want to stay at? Get the required inner diameter, plus the next standard DN size up and the velocity you'd actually get in it.

Tip: for compressed air measured at line pressure, switch to Operating Data (Gas Law) and enter the gauge pressure and temperature; the calculator converts to standard flow (Nm³/h) before computing velocity.

Frequently asked questions

Divide the volumetric flow rate by the pipe's cross-sectional area: v = Q / A. For a round pipe A = π × d² / 4. Convert Q to m³/s (divide m³/h by 3600) and d to metres so the result is in m/s. Thermal and insertion sensors also apply a profile factor (PF), giving v = Q / (A × PF).

Precision Measurement

Looking for the Right Industrial Flow Meter?

Explore IOTAFLOW’s range of Electromagnetic, Vortex, Ultrasonic, and Thermal Mass flow meters engineered for high accuracy and 7-day fast delivery.

Flow Velocity (v)
19.1m/s
Optimal Velocity