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Measurement / Thermowell wake frequency

Thermowell Wake Frequency

A thermowell sticking into a fast-flowing pipe is shaken by the vortices it creates. If the shaking matches its natural frequency it can crack in hours and release process fluid. Here is how the check works and how to fix a failing well.

This lesson and the calculator are a screening method in the spirit of ASME PTC 19.3 TW. The full standard (a paid document) adds more corrections, cyclic-stress and fatigue checks. Final thermowell designs should be checked by the supplier's PTC 19.3 TW calculation.

Why thermowells fail

Flow passing a cylinder does not slide smoothly round it. Swirls (vortices) break away from alternate sides, one after the other: a von Kármán vortex street, the same effect that makes wires "sing" in the wind. Each vortex gives the thermowell a small push. Pushes across the flow happen at the shedding frequency fs; smaller pushes along the flow happen at 2·fs.

Thermowell (seen from the end) Vortices leave from alternate sides → the well is pushed side to side
A vortex street behind a thermowell. Faster flow means faster shedding.

Shedding frequency

fs = St · V / B St ≈ 0.22, V = flow velocity, B = tip diameter

Doubling the velocity doubles the shedding frequency. A 22 mm tip in steam at 25 m/s sheds at about 250 Hz.

Natural frequency

The thermowell is a cantilever: fixed at the support, free at the tip, like a diving board. Its natural frequency rises with stiffness and falls with length squared and with mass:

fn ≈ (1.875² / 2π L²) · √(E·I / m)
  • Length matters most: making the well 30 % shorter raises fn by about 2 times.
  • Thicker and tapered wells are stiffer.
  • Dense liquids add mass (the fluid moves with the well), lowering fn slightly; a flanged mounting is a little less stiff than an ideal fixed support.
  • Hot metal is softer (lower E), so fn drops at high temperature.

The frequency ratio

fs / fnMeaningAction
< 0.4Shedding far below resonanceLow risk (still check steady stress)
0.4 – 0.8In-line resonance zone: the 2·fs along-flow pushes can match fnFull PTC 19.3 TW cyclic-stress check required
≥ 0.8Transverse (cross-flow) resonance: the large pushes match fnRedesign

Also check the startup and maximum velocities, not only the normal one: a well can pass resonance on the way up.

How to fix a failing well

  • Shorten it. The sensor only needs to reach the main flow; often ⅓–½ of the pipe diameter is enough.
  • Use a thicker root or a tapered well (stiffer, but slower thermal response).
  • Add a support collar (velocity collar) in the nozzle; it must fit closely.
  • Move it to a lower-velocity location or a larger pipe section.
  • Use a surface or helical-strake ("vortex-suppressing") design where available.

Live calculator

Enter the well dimensions and the process conditions, or pick an example. The gauge shows the frequency ratio in green / amber / red, the drawing vibrates when you enter the resonance zone, and the table gives the maximum safe length and velocity. It also works offline in the Instrument Apps Hub.

Q&A quiz

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