Calculate flow velocity from a pitot tube’s differential pressure or manometer reading, using typical air or water density or your own, plus duct CFM.

Use density at the measurement conditions.

Optional settings
Blank uses 1 (ideal probe); use your calibrated coefficient when known.

Calculator Functions

The calculator turns a pitot tube reading into flow velocity in m/s, ft/min and mph. Select a function to open it in the calculator.

FunctionUse it whenYou enter
Differential pressureA gauge gives you the pressure difference directlyTotal minus static pressure
Velocity head in flowing fluidThe flowing fluid itself rises in the tubeVertical height difference
U-tube manometerA denser liquid in a U-tube shows the differenceVertical height difference and manometer liquid density
Traverse averageYou took readings across a duct2–200 equal-area pressure readings
Centerline approximationYou can only take one reading and a rough average is enoughOne pressure reading at the duct center

Every function also asks for the flowing fluid: air at 20 °C, air at 15 °C, water at 20 °C or a custom density. Optional settings add a pitot coefficient and a flow area or duct size, which also gives volumetric flow in m³/s and CFM.

Pitot Tube Formulas

v = C × √(2Δp / ρ) [1]
vFlow velocity (m/s)
CPitot coefficient, commonly 1 for an undamaged tube. The calculator uses 1 if you leave it blank [2]
ΔpTotal pressure minus static pressure (Pa)
ρDensity of the flowing fluid (kg/m³)

Differential pressure

Your reading is Δp, so the formula above applies directly.

Velocity head in flowing fluid

Δp = ρ × g × Δh [2]

Δh is the vertical height difference in the flowing fluid, and g = 9.80665 m/s².

U-tube manometer

Δp = (ρman − ρ) × g × Δh

Δh is the height difference on the manometer liquid, which must be denser than the flowing fluid. This assumes the pressure taps are at the same level.

Traverse average

vavg = (v₁ + v₂ + … + vₙ) ÷ n [3]

Each reading is converted to velocity first, because averaging the pressures and then converting gives a different answer. Readings should represent equal areas of the duct, and the calculator does not choose the positions.

Centerline approximation

vavg ≈ 0.90 × vcenter [4]

This gives a rough duct average from one reading at the center.

Volumetric flow

Q = A × vavg [2]

For a round duct, A = π × D² ÷ 4. For a rectangular duct, A = width × height. A single reading only works here if it represents the average velocity across the duct.

Limits of This Estimate

  • Assumes steady, incompressible flow. Very low speeds are hard to measure accurately, and the equation does not hold at supersonic speeds [1]. The calculator warns you below 5 Pa.
  • Preset densities are for 1 atm. Use a custom density for other fluids, temperatures or altitudes.
  • The centerline function is a shortcut. One manufacturer quotes ±5% for it and ±2% for a careful traverse [4].

Sources

  1. NASA Glenn Research Center, Pitot-Static Tube Speedometer: main formula and limits
  2. U.S. Bureau of Reclamation, Water Measurement Manual, Chapter 14, Section 10: velocity head, tube coefficient and flow from velocity
  3. U.S. EPA, Method 2, Equation 2-7: averaging across traverse points
  4. DwyerOmega, Series 160S Pitot Tubes, Bulletin H-12: 0.9 factor and accuracy figures