Numerical study on conjugate heat transfer in a liquid-metal-cooled pipe based on a four-equation turbulent heat transfer model
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Conjugate heat transfer between liquid metal and solid is a common phenomenon in a liquid-metalcooled fast reactor's fuel assembly and heat exchanger, dramatically affecting the reactor’s safety and economy. Therefore, comprehensively studying the sophisticated conjugate heat transfer in a liquidmetal-cooled fast reactor is profound. However, it has been evidenced that the traditional Simple Gradient Diffusion Hypothesis (SGDH), assuming a constant turbulent Prandtl number (Prt, usually 0.85 - 1.0), is inappropriate in the Computational Fluid Dynamics (CFD) simulations of liquid metal. In recent decades, numerous studies have been performed on the four-equation model, which is expected to improve the precision of liquid metal’s CFD simulations but has not been introduced into the conjugate heat transfer calculation between liquid metal and solid. Consequently, a four-equation model, consisting of the Abe k ε turbulence model and the Manservisi kq εq heat transfer model, is applied to study the conjugate heat transfer concerning liquid metal in the present work. To verify the numerical validity of the four-equation model used in the conjugate heat transfer simulations, we reproduce Johnson’s experiments of the liquid lead-bismuth-cooled turbulent pipe flow using the four-equation model and the traditional SGDH model. The simulation results obtained with different models are compared with the available experimental data, revealing that the relative errors of the local Nusselt number and mean heat transfer coefficient obtained with the four-equation model are considerably reduced compared with the SGDH model. Then, the thermal-hydraulic characteristics of liquid metal turbulent pipe flow obtained with the four-equation model are analyzed. Moreover, the impact of the turbulence model used in the four-equation model on overall simulation performance is investigated. At last, the effectiveness of the four-equation model in the CFD simulations of liquid sodium conjugate heat transfer is assessed. This paper mainly proves that it is feasible to use the four-equation model in the study of liquid metal conjugate heat transfer and provides a reference for the research of conjugate heat transfer in a liquidmetal-cooled fast reactor
Abstract
Conjugate heat transfer between liquid metal and solid is a common phenomenon in a liquid-metalcooled fast reactor's fuel assembly and heat exchanger, dramatically affecting the reactor’s safety and economy. Therefore, comprehensively studying the sophisticated conjugate heat transfer in a liquidmetal-cooled fast reactor is profound. However, it has been evidenced that the traditional Simple Gradient Diffusion Hypothesis (SGDH), assuming a constant turbulent Prandtl number (Prt, usually 0.85 - 1.0), is inappropriate in the Computational Fluid Dynamics (CFD) simulations of liquid metal. In recent decades, numerous studies have been performed on the four-equation model, which is expected to improve the precision of liquid metal’s CFD simulations but has not been introduced into the conjugate heat transfer calculation between liquid metal and solid. Consequently, a four-equation model, consisting of the Abe k ε turbulence model and the Manservisi kq εq heat transfer model, is applied to study the conjugate heat transfer concerning liquid metal in the present work. To verify the numerical validity of the four-equation model used in the conjugate heat transfer simulations, we reproduce Johnson’s experiments of the liquid lead-bismuth-cooled turbulent pipe flow using the four-equation model and the traditional SGDH model. The simulation results obtained with different models are compared with the available experimental data, revealing that the relative errors of the local Nusselt number and mean heat transfer coefficient obtained with the four-equation model are considerably reduced compared with the SGDH model. Then, the thermal-hydraulic characteristics of liquid metal turbulent pipe flow obtained with the four-equation model are analyzed. Moreover, the impact of the turbulence model used in the four-equation model on overall simulation performance is investigated. At last, the effectiveness of the four-equation model in the CFD simulations of liquid sodium conjugate heat transfer is assessed. This paper mainly proves that it is feasible to use the four-equation model in the study of liquid metal conjugate heat transfer and provides a reference for the research of conjugate heat transfer in a liquidmetal-cooled fast reactor
참고문헌 (35)
- T. Abram, "Generation-IV nuclear power : a review of the state of the science", Energy Pol, 36, pp.4323~4330 (2008)
- X. -K. Su, "Thermal-hydraulic study in a wirewrapped 19-rod bundle based on an isotropic four-equation model", Ann. Nucl. Energy, 178, pp.109343~ (2022)
- X. J. Liu, "Computational fluid dynamics and subchannel analysis of leadebismuth eutecticcooled fuel assembly under various blockage conditions", Appl. Therm. Eng, 164, pp.114419~ (2020)
- Shaopeng He, "Numerical Simulation of Three-dimensional Flow and Heat Transfer Characteristics of Liquid Lead-Bismuth", Nuclear Engineering and Technology, 53(6), pp.1834~1845 (2021), 한국원자력학회[DOI]
- X. Cheng, "Investigation on turbulent heat transfer to leadebismuth eutectic flows in circular tubes for nuclear applications", Nucl. Eng. Des, 236, pp.385~393 (2006)
- R. da Via, "A keUekqeUq four parameter logarithmic turbulence model for liquid metals", Int. J. Heat Mass Tran, 101, pp.1030~1041 (2016)
- X. Su, "Development and assessment of an isotropic four-equation model for heat transfer of low Prandtl number fluids", Front, Application of Plant Secondary Metabolites to Pain Neuromodulation, 10, pp.890795034~ (2022)
- S. Manservisi, "A CFD four parameter heat transfer turbulence model for engineering applications in heavy liquid metals", Int. J. Heat Mass Tran, 69, pp.312~326 (2014)
- K. Abe, "A new turbulence model for predicting fluid flow and heat transfer in separating and reattaching flowsdII. Thermal field calculations", Int. J. Heat Mass Tran, 38, pp.1467~1481 (1995)
- D. Cerroni, "Numerical validation of a k-u-kq-uq heat transfer turbulence model for heavy liquid metals", J Phys Conf Ser, pp.012046~ (2015), IOP Publishing
- B. Deng, "A near-wall two-equation heat transfer model for wall turbulent flows", Int. J. Heat Mass Tran, 44, pp.691~698 (2001)
- Y. Nagano, "Development of a two-equation heat transfer model based on direct simulations of turbulent flows with different Prandtl numbers", Phys. Fluids, 8, pp.3379~3402 (1996)
- S. Manservisi, "Triangular rod bundle simulations of a CFD k-ε-kq-εq heat transfer turbulence model for heavy liquid metals", Nucl. Eng. Des, 273, pp.251~270 (2014)
- S. Manservisi, "CFD simulations in heavy liquid metal flows for square lattice bare rod bundle geometries with a four parameter heat transfer turbulence model", Nucl. Eng. Des, 295, pp.251~260 (2015)
- J. Khalesi, "Numerical analysis of flow and conjugate heat transfer for supercritical CO2 and liquid sodium in square microchannels", Int. J. Heat Mass Tran, 132, pp.1187~1199 (2019)
- H. A. Johnson, "Heat transfer to molten lead-bismuth eutectic in turbulent pipe flow", Trans. Am. Soc. Mech. Eng, 75, pp.1191~1198 (1953)
- M. Darwish, "The Finite Volume Method in Computational Fluid Dynamics: an Advanced Introduction with OpenFOAM® and Matlab®" (2021), Springer
- X. Li, "Numerical study of low Pr flow in a bare 19-rod bundle based on an advanced turbulent heat transfer model", Front. Energy Res, pp.743~ (2022)
- M. Duponcheel, "Assessment of RANS and improved near-wall modeling for forced convection at low Prandtl numbers based on LES up to Ret= 2000", Int. J. Heat Mass Tran, 75, pp.470~482 (2014)
- L. -B. Handbook, "Handbook on Lead-Bismuth Eutectic Alloy and Lead Properties, Materials Compatibility, Thermal-Hydraulics and Technology" (2007), Nuclear Energy Agency, NEA
- B. E. Launder, "Lectures in Mathematical Models of Turbulence" (1972)
- B.E. Launder, "Numerical Prediction of Flow, Heat Transfer, Turbulence and Combustion", pp.96~116 (1983), Elsevier
- A. Hellsten, "Some improvements in Menter's k-omega SST turbulence model", 29th Aiaa, Fluid Dynamics Conference, pp.2554~ (1998)
- F. Menter, "Elements of industrial heat transfer predictions", 16th Brazilian Congress of Mechanical Engineering, COBEM, pp.650~ (2001)
- F. R. Menter, "Turbulence, Heat and Mass Transfer 4", pp.625~632 (2003)
- B. E. Launder, "Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc", Lett. Heat Mass Tran, 1, pp.131~137 (1974)
- D. C. Wilcox, "Turbulence Modeling for CFD" (1998), DCW industries La Canada
- V. Yakhot, "Development of turbulence models for shear flows by a double expansion technique", Phys. Fluid. Fluid Dynam, 4, pp.1510~1520 (1992)
- Thermodynamic and Transport Properties of Sodium Liquid and Vapor, "J. K. Fink", Argonne National Lab, ~ (1995)
- J. Pacio, "Review of data and correlations for turbulent forced convective heat transfer of liquid metals in pipes", Heat Mass Tran, 51, pp.153~164 (2015)
- S. S. Kutateladze, "Heat transfer in liquid metals", Soviet J. Atom. Energy, 4, pp.555~571 (1958)
- V. I. Subbotin, "A study of heat transfer to molten sodium in tubes", Sov. Atom. Energy, 13, pp.991~994 (1963)
- C. Ching-Jen, "Laminar and turbulent heat transfer in the pipe entrance region for liquid metals", Int. J. Heat Mass Tran, 24, pp.1179~1189 (1981)
- E. Skupinski, "Determination des coefficients de convection d’un alliage sodium-potassium dans un tube circulaire", Int. J. Heat Mass Tran, 8, pp.937~951 (1965)
- R. H. Notter, "A solution to the turbulent Graetz problemdIII Fully developed and entry region heat transfer rates", Chem. Eng. Sci, 27, pp.2073~2093 (1972)