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Research Papers: Design and Analysis

Development of Inverse Analysis of Heat Conduction and Thermal Stress for Elbow (Part I)

[+] Author and Article Information
Seiji Ioka

Faculty of Engineering,
Osaka Electro-Communication University,
18-8, Hatsu-cho,
Neyagawa 572-8530, Japan
e-mail: ioka@isc.osakac.ac.jp

Shiro Kubo

Faculty of Science and Engineering,
Setsunan University,
17-8, Ikeda-nakamachi,
Neyagawa 572-8508, Japan
e-mail: kubo@mech.eng.osaka-u.ac.jp

Mayumi Ochi

Mitsubishi Heavy Industries,
1-1, Niihama 2-chome,
Arai-cho, Takasago 676-8686, Japan
e-mail: mayumi_ochi@mhi.co.jp

Kiminobu Hojo

Mitsubishi Heavy Industries,
1-1, Wadasaki-cho 1-chome,
Hyogo-ku, Kobe 652-8585, Japan
e- mail: kiminobu_hojo@mhi.co.jp

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received March 25, 2015; final manuscript received February 14, 2016; published online April 29, 2016. Assoc. Editor: Albert E. Segall.

J. Pressure Vessel Technol 138(5), 051202 (Apr 29, 2016) (9 pages) Paper No: PVT-15-1051; doi: 10.1115/1.4032815 History: Received March 25, 2015; Revised February 14, 2016

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.

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References

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.
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. [CrossRef]
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).
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.
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. [CrossRef]
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. [CrossRef]
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.
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.
Kubo, S. , 1992, Inverse Problem, Baifukan, Tokyo (in Japanese).
Hsu, P. T. , 2006, “ Estimating the Boundary Condition in a 3D Inverse Hyperbolic Heat Conduction Problem,” Appl. Math. Comput., 177(2), pp. 453–464.
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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.

Figures

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Fig. 1

Model used for FE analysis

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Fig. 2

Cross sections and points for measurement

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Fig. 3

Mapping of a curved surface to square

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Fig. 4

Reduction ratio R of amplitude as a function of 1/T. (a) L/D = 7 and (b) L/D = 9.

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Fig. 5

Phase-lag as a function of 1/T. (a) L/D = 7 and (b) L/D = 9.

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Fig. 6

Points of temperature history measurement

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Fig. 7

Fluid temperature distribution in the case of a single frequency temperature change

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Fig. 8

Comparison between inner surface temperature histories estimated by inverse analysis and those of the direct FE analysis in the case of a single frequency temperature change. (a) L/D = 7 and (b) L/D = 9, (c) L/D = 11, and (d) L/D = 12.

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Fig. 9

RMS of the difference between the estimated data and the direct FE analysis on the inner surface in the case of a single frequency temperature change

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Fig. 10

Fourier coefficients of outer surface temperature change

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Fig. 11

Comparison between inner surface temperature history estimated by inverse analysis and those of the direct FE analysis in the case of two frequencies temperature change. (a) L/D = 7 and (b) L/D = 9, (c) L/D = 11, and (d) L/D = 12.

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Fig. 12

RMS of the difference between the estimated data and the direct FE analysis on the inner surface in the case of two frequencies temperature change

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Fig. 13

Comparison between inner surface temperature history estimated by inverse analysis and those of the direct FE analysis in the case of experimentally measured temperature change. (a) L/D = 7 and (b) L/D = 9, (c) L/D = 11, and (d) L/D = 12.

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Fig. 14

RMS of the difference between the estimated data and those of the direct FE analysis on the inner surface

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