THERMOWELL STRENGTH CALCULATIONASME PTC 19.3 TW-2010[ PROCESS CONDITION ](1)
図面番号Tag No.
(2)(3)
Operating temperature(4)
Operating pressure(5)
Fluid density(6)
Fluid viscosity(7)
Flow rate(8)
Pipe.inner dia.
(9)
Fluid velocity

Jun. 9, 2016

Monju
T°C
2
P kgf/cm G
3
γkg/m
μcP
Q
DDmmVm/s

5.00
Type of Thermowell :SUS304
10.0
10.0
4.0
150.5
150.5
150.5

[ CALCULATION RESULT ]Judgement :[1]
Frequency Limit Calc.
HzfsStrouhal frequencycHz
Natural frequency
fnPass*294.3
282.4

[2]
[3]
[4]

fs / fnc =0.334 < 0.4[ REMARKS ]Fatigue endurance limit
Allowable stressSensor average density
Young’s modulus
Density of thermowell

SfSγsEγm2[ Calculation Method : ASME PTC 19.3 TW-2010 ][1] Frequency Limit Calc.
V3
fs = St
Strouhal frequency
D 10
Natural Frequency

Notes 1:Sign
Calculation reportL
DWG & Specification sheet U
Notes 2: Since calculation of a 2 phaseflow assumes that it is a single phaseflow in mean density, please consider
that the result is an object for reference.

mmmm

3.0
3.0Reynolds No. Re
104 375 > 10^5Scruton No. NSc0.040 ≤ 2.5
Inline resonance velocity VIR
7.4 m/s
2
Stress at VIR Somax= 3295.1 > FT FE Sf = 88.1 N/mm
Upper frequency ratio limit
144.00288.12

Allowable stress 1.5SN/mm<Allowable stress FT FE Sf

N/mm

35.91
415.380.19
0.0005
1.2
1.40
0.10
1.00
1000.0NSStrouhal No.
Damping factor
ζStress concentration factor
CDDrag coefficient
Oscillating-drag coefficient CdCl
Oscillating-lift coefficient
F MmaxMagnification factor (VIR)

222<Pass
External pressure rating for tip shank Pc MPa
External pressure rating for the tipPt MPa

93.8
N/mm
296.0
N/mm
3kg/m
2 700
2N/mm 183 036
3kg/m
7 980

fnc=Hc fn

B3b(16) Fillet radius(17) Tip thickness tPass
Steady-State Stress Calc. Judgement :217.30Stress using the Von Mises criteria N/mm
Judgement:
Pass
Dynamic Stress Calc.
2Combind drag and lift stresses Somax N/mm
17.04
Judgement :Pressure Stress Calc.
Operating pressure P MPa
0.16 <
Operating pressure P MPa
0.16 <1200
1.650
835.000
0.4000[ THERMOWELL SPECIFICATION ](10) MaterialAmm(11) Root out.dia.
Bmm(12) Tip out.dia.
dmm(13) BoreLmm(14) Insertion lengthmm(15) Actual insertion length LA

Frequency ratio

REC.NO.

AE 1TESTλfa = 2π L2

fn=Hf Haf Has fa

E I 10 12m

VBγ
Re = μ22 1/2
12-62Somax = Kt (Sd +SL )Cyclic stress at the VIR
Pd = γ CdVIR 0 N/mm
Sd = GSP F'Mmax Pd2( SL=0 )c2Bfn
16LGSP ={3[1-(L0 /L)2]+2(B/A-1)[1-(L0 /L)3]}24
Inline resonance velocity
VIR =m/s
3πA[1-(d/A)]
2NS
L0 = L - LA
[2] Steady-State Stress Calc. at the V
22212-6(Smax- Sr) +(Smax- St) +(St - Sr)
PD = γ CDV 0≤ 1.5S
Sd = GSP PD
Von Mises criteria
2212-62[3] Dynamic Stress Calc. at the V
Somax = Kt (Sd2+SL2)1/2 N/mm2 SL = GSP FM Pl Pl = 2 γ ClV 0 N/mm
(Same equation of cyclic stress)
Scruton No.

NSc = π ζ (γm γ)[1-(d/B) ]2Reynolds No.

FM =

1.1

F'M =

[4] Pressure Stress Calc. (Max. Pressure)
2.167
External pressure rating for tip shank Pc = 0.66S- 0.0833
2B/(B - d)tSExternal pressure rating for the tip( )2 MPaPt =0.13 d[1.8] MPa

OKAZAKI MANUFACTURING COMPANY

Notes 3: "Pass *1" means that We Recommend to Use.
Freq. ratio "fs/fn" is higher than 0.4 and lower than 0.6.
This ratio is not recommened to use in ASME.
Notes 4: "Pass *2." means that we do not recommend touse. Fluid density>300kg/m3 and Freq. ratio fs/fn>0.2.
This ratio is able to use in ASME.

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