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Thermowell Calculator

Check thermowell wake-frequency resonance risk per ASME PTC 19.3 — enter insertion length, tip OD and process velocity to compare vortex shedding frequency against the thermowell's natural frequency.

ASME PTC 19.3 TW
🌡Wake Frequency Analyser
Enter values and press Calculate to see the wake frequency analysis.
Worked example

A thermowell is inserted 250 mm into a pipe carrying water, with a tip OD of 11 mm and a process velocity of 3.0 m/s.

Re = 3.30 × 104 → St = 0.22 (subcritical) → fs = 60.000 Hz, fn = 121.454 Hz → fs/fn = 0.494 — ACCEPTABLE

The form above is pre-filled with these exact numbers — press Calculate to reproduce this result, or change the inputs for your own installation.

Formula & variable legend
Re = ρ · v · d / μ
fs = St · v / d
fn = (3.52 / (2πU²)) × √(E·I / (ρmat·A))
Frequency ratio = fs / fn
U — insertion (unsupported) length, m
d — tip outer diameter, m
v — process velocity, m/s
ρ — fluid density, kg/m³
μ — fluid viscosity (estimated from fluid type), Pa·s
St — Strouhal number, from Reynolds-number regime
E, ρmat — rod material modulus (193 GPa) and density (7950 kg/m³), fixed at 316SS
I, A — second moment of area and cross-sectional area of the rod tip
📋Accepted inputs
FieldAccepted rangeNotes
Insertion length U> 0mm or in
Tip OD d> 0mm or in
Process velocity> 0m/s or ft/s
Fluid density> 0 (custom only)Required only when fluid type is Custom; liquid/gas use a built-in default if left blank
🌊Reynolds number → Strouhal number
Reynolds number rangeRegimeStrouhal number St
Re < 10³Sub-critical0.21
10³ ≤ Re < 2×10⁵Subcritical0.22
2×10⁵ ≤ Re < 5×10⁵Critical / drag-crisis0.19
Re ≥ 5×10⁵Supercritical0.27
Frequency-ratio status bands
fs/fnStatusExample (U / d / v)
< 0.6ACCEPTABLE250mm / 11mm / 3.0 m/s → 0.494
0.6 – 0.8MARGINAL250mm / 9mm / 3.2 m/s → 0.787
≥ 0.8CRITICAL400mm / 8mm / 4.0 m/s → 3.188

Frequently asked questions

What is a thermowell wake frequency calculation?
As fluid flows past a thermowell, it sheds vortices behind the rod at a frequency that depends on velocity, tip diameter and the fluid's Reynolds number. If that shedding frequency gets close to the thermowell's own natural (mechanical) frequency, the thermowell resonates and can fail by fatigue. The wake frequency calculation compares the two frequencies to flag that risk before installation.
What is ASME PTC 19.3 TW and why does it matter?
ASME PTC 19.3 TW is the industry standard for thermowell mechanical design, covering wake-frequency resonance, static and dynamic stress, and pressure rating. This calculator performs the first-pass wake frequency screen from that standard; a full PTC 19.3 TW calculation also checks Scruton number, static stress, and stepped/tapered geometry, which this simplified tool does not model.
What frequency ratio (fs/fn) is considered safe for a thermowell?
A shedding-to-natural frequency ratio below 0.6 is generally considered acceptable. A ratio between 0.6 and 0.8 is marginal and warrants a full ASME PTC 19.3 TW calculation before finalizing the design. A ratio of 0.8 or above indicates high resonance risk and typically requires a shorter insertion length, larger tip OD, or reduced process velocity.
What material and geometry does this calculator assume?
This calculator assumes a solid, uniform 316 stainless steel rod (E = 193 GPa, density 7950 kg/m³) with a constant diameter over the full insertion length. Real thermowells are often stepped or tapered, which raises the natural frequency compared with this simplified straight-rod model — treat results here as a conservative first-pass screen, not a final design sign-off.
How accurate is the default fluid density value?
If you don't enter a density, the calculator defaults to 1000 kg/m³ for liquids (water) or 10 kg/m³ for gases as a rough placeholder. Actual gas density depends heavily on pressure and temperature, and liquid hydrocarbons or oils differ substantially from water — for an accurate result, select "Custom" and enter your process fluid's actual density.
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