High temperature stratified flow sometimes caused thermal fatigue cracking in power plants. To prevent fatigue damage by stratified flow, it is important to know temperature distribution history in a pipe. In this study, inverse heat conduction analysis method for an elbow model was developed to estimate the inner surface temperature from the measured outer surface temperature. In the method, the transfer function database inter-relating the inner surface temperature with the outer one was used. For several patterns of the temperature history, the inverse analysis simulations were performed and the accuracy of the estimated inner surface temperature was shown.

References

1.
Shah
,
V. N.
,
Ware
,
A. G.
,
Atwood
,
C. L.
,
Sattison
,
M. B.
,
Hartley
,
R. S.
, and
Hsu
,
C.
,
1999
, “
Assessment of Field Experience Related to Pressurized Water Reactor Primary System Leaks
,” ASME-PUBLICATIONS-PVP,
395
, pp.
23
32
.
2.
Yu
,
Y. J.
,
Park
,
S. H.
,
Sohn
,
G. H.
, and
Bak
,
W. J.
,
1997
, “
Structural Evaluation of Thermal Stratification for PWR Surge Line
,”
Nucl. Eng. Des.
,
178
(
2
), pp.
211
220
.
3.
Nakamura
,
A.
,
Takenaka
,
N.
,
Hamatani
,
D.
,
Murase
,
M.
, and
Sasaki
,
T.
,
2002
, “
Experiments and Numerical Simulations of Fluctuating Thermal Stratification in a Branch Pipe
,”
INSS J.
,
9
, pp.
67
79
(in Japanese).
4.
JSME
,
2003
, “
Guideline for Evaluation of High-Cycle Thermal Fatigue of a Pipe
,”
Japan Society of Mechanical Engineering
, Tokyo, Technical Report Number JSME-S-017:2003.
5.
Shao
,
Z. S.
,
2005
, “
Mechanical and Thermal Stresses of a Functionally Graded Circular Hollow Cylinder With Finite Length
,”
Int. J. Pressure Vessels Piping
,
82
(
3
), pp.
155
163
.
6.
Kandil
,
A.
,
El-Kady
,
A. A.
, and
El-Kafrawy
,
A.
,
1995
, “
Transient Thermal Stress Analysis of Thick-Walled Cylinders
,”
Int. J. Mech. Sci.
,
37
(
7
), pp.
721
732
.
7.
Ishizaka
,
T.
,
Kubo
,
S.
, and
Ioka
,
S.
,
2006
, “
An Inverse Method for Determining Thermal Load History Which Reduces Transient Thermal Stresses
,”
ASME
Paper No. PVP2006-ICPVT-11-93618.
8.
Kubo
,
S.
,
Uchida
,
K.
,
Ishizaka
,
T.
, and
Ioka
,
S.
,
2008
, “
Determination of the Optimum Temperature History of Inlet Water for Minimizing Thermal Stresses in a Pipe by Multiphysics Inverse Analyses
,”
J. Phys.: Conf. Ser.
,
135
(
1
), p.
012058
.
9.
Kubo
,
S.
,
1992
,
Inverse Problem
, Baifukan, Tokyo (in Japanese).
10.
Hsu
,
P. T.
,
2006
, “
Estimating the Boundary Condition in a 3D Inverse Hyperbolic Heat Conduction Problem
,”
Appl. Math. Comput.
,
177
(2), pp.
453
464
.
11.
Huang
,
C. H.
, and
Wang
,
S. P.
,
1999
, “
A Three-Dimensional Inverse Heat Conduction Problem in Estimating Surface Heat Flux by Conjugate Gradient Method
,”
Int. J. Heat Mass Transfer
,
42
(
18
), pp.
3387
3403
.
12.
Huang
,
C. H.
, and
Chen
,
W. C.
,
2000
, “
A Three-Dimensional Inverse Forced Convection Problem in Estimating Surface Heat Flux by Conjugate Gradient Method
,”
Int. J. Heat Mass Transfer
,
43
(
17
), pp.
3171
3181
.
13.
Huang
,
C. H.
, and
Tsai
,
Y. L.
,
2005
, “
A Transient 3-D Inverse Problem in Imaging the Time-Dependent Local Heat Transfer Coefficients for Plate Fin
,”
Appl. Therm. Eng.
,
25
, pp.
2478
2495
.
14.
Lu
,
T.
,
Liu
,
B.
, and
Jiang
,
P. X.
,
2011
, “
Inverse Estimation of the Inner Wall Temperature Fluctuations in a Pipe Elbow
,”
Appl. Therm. Eng.
,
31
, pp.
1976
1982
.
15.
Hojo
,
K.
,
Ochi
,
M.
,
Ioka
,
S.
, and
Kubo
,
S.
,
2013
, “
Development and Validation of Inverse Analysis of Heat Conduction and Thermal Stress for Elbow (Part II)
,”
ASME
Paper No. PVP2013-97620.
You do not currently have access to this content.