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Vortex Flow Meter Calculator

Check a vortex meter application: velocity in the bore, Reynolds number and the vortex frequency from the meter K factor or from the Strouhal relation.

Strouhal numberK factorReynolds numberShedding frequency
pulses/L
St
Velocity in bore4.244 m/s
Reynolds number211,400
Shedding frequency (Strouhal)60.63 Hz
Dynamic pressure ρv²17,980 Pa
How this result was calculated
  1. v = Q ÷ A = 4.244 m/s
  2. Re = ρvD ÷ µ = 211,400
  3. f = St × v ÷ w = 0.2 × 4.244 ÷ 14 mm = 60.63 Hz
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Vortex Shedding Equations

f = St × v ÷ w
f = Q × K (meter K factor)
Re = ρ × v × D ÷ µ

St is the Strouhal number (close to 0.2 and nearly constant over a wide Reynolds range, which makes the meter linear), v the velocity, w the bluff body width, Q the volume flow and K the calibrated pulses per unit volume from the meter datasheet.

Worked example

30 m³/h of water in a 50 mm bore gives v = 4.24 m/s and Re ≈ 211,000. With a 14 mm bluff body and St = 0.2 the vortices shed at about 61 Hz.

Key insight: a vortex meter needs enough momentum to shed clean vortices, so low velocity and high viscosity are its limits. Vendors state a minimum Reynolds number and a minimum ρv²; check both at the lowest flow.
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Frequently Asked Questions

How does a vortex flow meter work?

A bluff body sheds vortices alternately from each side. Their frequency is proportional to velocity, so counting them gives flow.

What is the Strouhal number?

A dimensionless number relating shedding frequency, velocity and bluff body width. It stays close to 0.2 over a wide range of Reynolds numbers.

Why does a vortex meter cut off at low flow?

Below a minimum Reynolds number or dynamic pressure the vortices become weak and irregular, so the meter forces its output to zero.

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