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Research Papers: Nuclear Power

Dynamic Heat-Exchanger Model for Any Combination of Water and Steam States

[+] Author and Article Information
Eunkyeong Kim

e-mail: eunkyeong.kim.mn@hitachi.com

Takuya Yoshida

e-mail: takuya.yoshida.ru@hitachi.com

Tatsurou Yashiki

e-mail: tatsuro.yashiki.zn@hitachi.com
Hitachi Research Laboratory,
Hitachi Ltd.,
7-2-1 Omikacho,
Hitachi, Ibaraki 319-1221, Japan

Contributed by the Nuclear Division of ASME for publication in the Journal of Engineering for Gas Turbines and Power. Manuscript received September 28, 2012; final manuscript received October 2, 2012; published online April 23, 2013. Editor: Dilip R. Ballal.

J. Eng. Gas Turbines Power 135(5), 052901 (Apr 23, 2013) (7 pages) Paper No: GTP-12-1381; doi: 10.1115/1.4007875 History: Received September 28, 2012; Revised October 02, 2012

The purpose of this study is to propose a dynamic heat transfer model for predicting transient heat recovery steam generator (HRSG) behaviors involving phase changes in heat exchanger tubes. The model deals with any combination of phase states by switching the equations for heat transfer coefficient, specific volume, and friction factor corresponding to their physical characteristics. The model also constrains the change of mass flow calculated by momentum balance to satisfy thermodynamic relationships which are neglected by conventional models. The simulation results show that the proposed model predicts the transient pressure drop, outlet mass flow changes, and the reduction in heat transfer coefficient caused by dryout during heating or evaporating processes. In addition, the model improves the accuracy of mass flow transients compared to those obtained by conventional models.

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References

Sun, S., and Pasha, A., 2011, “HRSGs for Combined Cycle Plants: Design Considerations and Life Consumption Estimation Using Dynamic Software,” Proceedings of the ASME 2011 Power Conference, Denver, CO, July 12–14, ASME Paper No. POWER2011-55330. [CrossRef]
Behbahani-nia, A., Sayadi, S., and Soleymani, M., 2010, “Thermoeconomic Optimization of the Pinch Point and Gas-Side Velocity in Heat Recovery Steam Generators,” Proc. Inst. Mech. Eng., Part A, 224, p. JPE953. [CrossRef]
Alobaid, F., Postler, R., Strohle, J., Epple, B., and Kim, H.-G., 2008, “Modeling and Investigation Start-Up Procedures of a Combined Cycle Power Plant,” Appl. Energy, 85, pp. 1173–1189. [CrossRef]
Lu, S., 1999, “Dynamic Modeling and Simulation of Power Plant Systems,” Proc. Inst. Mech. Eng., Part A, 213, p. A03498. [CrossRef]
Holman, J. P., 2002, Heat Transfer, 9th ed., McGraw-Hill, New York, pp. 267–275 and pp. 291–294.
Chen, J. N. C., 1963, “A Correlation for Boiling Heat Transfer to Saturated Fluids in Convective Flow,” ASME Paper No. 63-HT-34.
JSME, 2009, JSME Data Book: Heat Transfer, 5th ed., Maruzen Company, Ltd., Tokyo Japan, pp. 112–113.
Cooper, J. R., and Dooley, R. B., 1994, IAPWS Release on Surface Tension of Ordinary Water Substance, International Association for the Properties of Water and Steam (IAPWS), Charlotte, NC, p. 2.
Thom, J. R. S., 1964, “Prediction of Pressure Drop During Forced Circulation Boiling of Water,” Int. J. Heat Mass Transfer, 7, pp. 709–724. [CrossRef]
JSME, 2006, Handbook of Gas-Liquid Two-Phase Flow Technology, 2nd ed., Corona Publishing Co., Ltd., Tokyo, p. 45.
Swamee, P. K., and Jain, A. K., 1976, “Explicit Equations for Pipe-Flow Problems,” J. Hydr. Div., 102(5), pp. 657–664.
JSME, 1996, Standard Method for Heat Exchanger Thermal Design, Maruzen Company, Ltd., Tokyo, p. 72.

Figures

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Fig. 1

Steady-state relationships between partial derivative (∂P/∂h)v and quality xs. The dashed curve shows the density 1/v¯s.

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Fig. 5

The configuration of heat exchangers for evaluating the proposed heat transfer model. Gas flowed though HEX 1 and HEX 2 and the water/steam flowed in the opposite direction.

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Fig. 3

Variables for the proposed heat transfer model

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Fig. 2

Regions and weighting factors for calculating heat transfer coefficient, specific volume, and friction factor

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Fig. 4

The heat transfer model divided into submodels

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Fig. 6

Boundary condition

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Fig. 7

Simulation results (enthalpy, pressure, and mass flow)

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Fig. 8

Distribution of heat transfer coefficient along tube height (HEX 2, at 5000 s). The heat transfer coefficient was almost constant over the liquid region; it increased throughout the two-phase region and then decreased at the height where dryout occurred, and again was almost constant for the mist and vapor regions.

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Fig. 9

Simulation results (phase states)

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Fig. 10

The dryout quality along mass flow for different pressures. Calculated by the equation in JSME [12].

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Fig. 11

Simulation results (thermodynamic and dynamic densities)

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