WellFreq — Engine verification

Section 8 of the Code publishes two complete worked examples with every intermediate result. They are the only independent reference available to verify an implementation. This page runs the engine against both examples on every page load, on the version actually in service.

The reference values are not reproduced here: restating them would fall under ASME copyright. Only the computed value and the relative deviation are shown, which is enough to establish conformity without substituting for purchase of the Code.

Example 8-1 — Tapered weld-in thermowell, steam header passed

Superheated steam at 232 °C and 16.2 bar g, 89.9 m/s. Tapered shank A 38.1 / B 25.4 mm, L 103.1 mm, A105 carbon steel welded into the pipe. Full calculation chain verified end to end.

Quantity	Clause	Value	Unit	Deviation
Reynolds number	eq. (6-4-3)	1.0676e+06	—	0.0345 %	OK
Strouhal number	eq. (6-4-2)	0.22	—	0.0000 %	OK
Shedding frequency fs	eq. (6-4-1)	778.8	Hz	0.0000 %	OK
Approximate frequency fa	eq. (6-5-1)	2 095.1	Hz	0.0071 %	OK
Frequency factor Hf	eq. (6-5-2)	1.3519	—	0.0104 %	OK
Added fluid mass Ha,f	eq. (6-5-4)	0.99949	—	0.0008 %	OK
Added sensor mass Ha,s	eq. (6-5-5)	0.99221	—	0.0014 %	OK
Natural frequency fn	eq. (6-5-6)	2 808.9	Hz	0.0048 %	OK
Support compliance Hc	eq. (6-6-5)	0.77463	—	0.0039 %	OK
Installed frequency fnᶜ	eq. (6-6-1)	2 175.8	Hz	0.0077 %	OK
Scruton number	eq. (6-8-1)	4.5252	—	0.0034 %	OK
In-line resonance velocity V_IR	eq. (6-8-5)	125.6	m/s	0.0217 %	OK
Cyclic stress at V_IR	eq. (6-10-6)	183.14	MPa	0.0102 %	OK
Geometric parameter G	eq. (6-10-7)	29.046	—	0.0135 %	OK
Steady drag stress S_D	eq. (6-10-4)	1.314	MPa	0.0141 %	OK
Tangential stress S_t	eq. (6-11-2)	1.7206	MPa	0.0167 %	OK
Axial stress S_a	eq. (6-11-3)	1.6705	MPa	0.0086 %	OK
von Mises stress	eq. (6-12-2)	1.3168	MPa	0.0053 %	OK
Lift amplification F_M	eq. (6-9-1)	1.1469	—	0.0052 %	OK
In-line amplification F′_M	eq. (6-9-2)	2.0511	—	0.0429 %	OK
Cyclic stress S_o,max	eq. (6-12-3)	2.4058	MPa	0.0075 %	OK
Shank pressure rating P_c	eq. (6-13-1)	64.736	MPa	0.0024 %	OK
Tip pressure rating P_t	eq. (6-13-2)	549.05	MPa	0.0033 %	OK

Example 8-2 — Threaded step-shank thermowell, hot water passed

Water at 85 °C and 4 bar g, 10 m/s. Step shank A 22.2 / B 12.7 mm, L 190 mm, Ls 63.5 mm, A182 F316 stainless, threaded. Checked at both evaluation points. The frequency is computed from eq. (6-5-3); no injected frequency is used.

Quantity	Clause	Value	Unit	Deviation
Reynolds number	eq. (6-4-3)	3.6904e+05	—	0.0106 %	OK
Variable Strouhal number	eq. (6-4-2)	0.204	—	0.0008 %	OK
Shedding frequency fs	eq. (6-4-1)	160.63	Hz	0.0194 %	OK
Approximate frequency fa	eq. (6-5-1)	438.55	Hz	0.0111 %	OK
Frequency factor Hf	eq. (6-5-3)	1.5031	—	0.0048 %	OK
Installed frequency fnc	eq. (6-6-1)	545.07	Hz	0.0132 %	OK
Added fluid mass Ha,f	eq. (6-5-4)	0.93945	—	0.0053 %	OK
Added sensor mass Ha,s	eq. (6-5-5)	0.98364	—	0.0039 %	OK
Threaded compliance Hc	eq. (6-7-1)	0.89484	—	0.0047 %	OK
Scruton number	eq. (6-8-1)	0.029744	—	0.0148 %	OK
In-line resonance velocity V_IR	eq. (6-8-3)	16.015	m/s	0.0311 %	OK
Lift amplification F_M	eq. (6-9-1)	1.0951	—	0.0097 %	OK
In-line amplification F′_M	eq. (6-9-2)	1.5323	—	0.0196 %	OK
G at support plane	eq. (6-10-9)	286.42	—	0.0055 %	OK
G at reduced shank base	eq. (6-10-10)	137.34	—	0.0302 %	OK
Kt at support plane	para. 6-12.3 (b)	2.3	—	0.0000 %	OK
Kt at reduced shank base	eq. (6-12-4)	1.231	—	0.0025 %	OK
von Mises at support plane	eq. (6-12-2)	19.424	MPa	0.0190 %	OK
von Mises at reduced shank	eq. (6-12-2)	9.3175	MPa	0.0052 %	OK
S_o,max at support plane	eq. (6-12-3)	35.285	MPa	0.0130 %	OK
S_o,max at reduced shank	eq. (6-12-3)	9.0557	MPa	0.0039 %	OK
Fatigue limit F_T·F_E·Sf	eq. (6-12-5)	36.437	MPa	0.0084 %	OK
Shank pressure rating P_c	eq. (6-13-1)	35.197	MPa	0.0085 %	OK
Tip pressure rating P_t	eq. (6-13-2)	496.38	MPa	0.0048 %	OK