Abstract
CFD modelling of the thermo-hydraulic phenomena in the containment during the various phases of a severe accident necessarily requires consideration of radiative heat transfer – in the presence of steam. These radiative phenomena include (i) energy transfer within the gas mixture and (ii) between the gas and surrounding structures. Preliminary calculations carried out for these types of experiments within the OECD/NEA HYMERES-2 project with the CFD code containmentFOAM using a Monte Carlo solver for thermal radiation, demonstrated that the radiative heat transfer is significant even for very small amounts of vapour in the range of ≈0.1 % to ≈2 %. For this reason, the test matrix was tailored to the two opposite extremes: either gas compositions with a low vapour/steam content, where radiative heat transfer can be neglected, or gas mixtures with higher vapour contents, so that radiative heat transfer plays a dominant role. For the selected experiments of the H2P2 series and the corresponding CFD calculations, a vessel with a diameter of 4 m and a height of 8 m was preconditioned with different air-vapour mixtures (a) at room temperature and (b) elevated temperatures. A stable helium layer was then built-up in the upper part of the vessel. The gas was then compressed by injecting helium from above which resembles with best efforts a compression with a piston in a cylinder. This results in a height-dependent and transient increase of the gas temperature. These experiments and the associated CFD calculations were developed to isolate the phenomena of thermal radiation as good as possible from convective and diffusive effects – within the always present experimental limitations. For the reference experiment with ‘dry conditions’ corresponding to the lowest experimentally possible humidity of ≈0.1 %, we show that the use of a model without radiation provides the best agreement between the experimental and numerical results. For the much higher steam content of ≈60 %, the statistical narrow band correlated-k model (SNBCK), non-gray gas model, is the best candidate for future calculations – with computationally forgivable additional effort. We also provide with the Filtered Rayleigh Scattering technique (FRS) an outlook for a possible future instrumentation approach to better meet the requirements of the CFD community.
Acknowledgments
The authors would like to thank Max Fehlmann (25. May 1960; † 30.11.2021) and Simon Suter for their engaged support in conducting these experiments. Without their dedication towards these experiments – even during rather challenging COVID ‘lockdown’ phases – it would not have been possible to obtain the results documented in this article. The authors also would like to thank the members of the Management Board and the Program Review Group of the OECD/NEA HYMERES-2 project for their continued confidence in the perspectives the PANDA experiments can provide; and their help to evaluate the results. In the ongoing OECD/NEA PANDA project, again, one series (P1A2) is dedicated to the radiation topic.
-
Research ethics: Not applicable.
-
Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
-
Competing interests: The authors state no conflicts of interest.
-
Research funding: None declared.
-
Data availability: Not applicable.
References
Abe, S., Ishigaki, M., Sibamoto, Y., and Yonomoto, T. (2015). RANS analyses on erosion behavior of density stratification consisted of helium – air mixture gas by a low momentum vertical buoyant jet in the PANDA test facility, the third international benchmark exercise (IBE-3). Nucl. Eng. Des. 289: 231–239, https://doi.org/10.1016/j.nucengdes.2015.04.002.Search in Google Scholar
Albrecht, H., Borys, M., Damaschke, N., and Tropea, C. (2003). Laser Doppler and phase Doppler measurement techniques. Springer Verlag, Berlin, Heidelberg.10.1007/978-3-662-05165-8Search in Google Scholar
Andreani, M. (2004). Pretest calculations of phase A of ISP-42 (PANDA) using the GOTHIC containment code and comparison with the experimental results. Nucl. Technol. 148: 35–47, https://doi.org/10.13182/NT04-A3546.Search in Google Scholar
Andreani, M. and Paladino, D. (2010). Simulation of gas mixing and transport in a multi-compartment geometry using the GOTHIC containment code and relatively coarse meshes. Nucl. Eng. Des. 240: 1506–1527, https://doi.org/10.1016/j.nucengdes.2010.02.020.Search in Google Scholar
Andreani, M., Paladino, D., and George, T. (2008). On the unexpectedly large effect of the re-evaporation of the condensate liquid film in two tests in the PANDA facility revealed by simulations with the GOTHIC code. In: CFD4NRS, Grenoble, France, 10–12 September, 2008.Search in Google Scholar
Andreani, M., Kapulla, R., and Zboray, R. (2012). Gas stratification break-up by a vertical jet: simulations using the Gothic code. Nucl. Eng. Des. 249: 71–81, https://doi.org/10.1016/j.nucengdes.2011.06.004.Search in Google Scholar
Andreani, M., Badillo, A., and Kapulla, R. (2016). Synthesis of the OECD/NEA-PSI CFD benchmark exercise. Nucl. Eng. Des. 299: 59–80, https://doi.org/10.1016/j.nucengdes.2015.12.029.Search in Google Scholar
Andreani, M., Paladino, D., and Papini, D. (2018). Multi-step planning calculations with the GOTHIC code used for the design of complex experiments in the PANDA facility. Nucl. Eng. Des. 339: 116–125, https://doi.org/10.1016/j.nucengdes.2018.09.005.Search in Google Scholar
Andreani, M., Gaikwad, A.J., Ganju, S., Gera, B., Grigoryev, S., Herranz, L.E., Huhtanen, R., Kale, V., Kanaev, A., Kapulla, R., et al.. (2019). Synthesis of a CFD benchmark exercise based on a test in the PANDA facility addressing the stratification erosion by a vertical jet in presence of a flow obstruction. Nucl. Eng. Des. 354: 110177, https://doi.org/10.1016/j.nucengdes.2019.110177.Search in Google Scholar
Bestion, D. (2017). A state-of-the-art report on scaling in system thermal-hydraulics applications to nuclear reactor safety and design. Technical Report R(2016)14, NEA/CSNI, Mar. 2017.Search in Google Scholar
Boyd, C. (2016). Perspectives on CFD analysis in nuclear reactor regulation. Nucl. Eng. Des. 299: 12–17, https://doi.org/10.1016/j.nucengdes.2015.08.001.Search in Google Scholar
Dehbi, A., Kelm, S., Kalilainen, J., and Mueller, H. (2019). The influence of thermal radiation on the free convection inside enclosures. Nucl. Eng. Des. 341: 176–185, https://doi.org/10.1016/j.nucengdes.2018.10.025.Search in Google Scholar
Doll, U., Migliorini, M., Baikie, J., Zachos, P.K., Röhle, I., Melnikov, S., Steinbock, J., Dues, M., Kapulla, R., MacManus, D.G., et al.. (2022a). Non-intrusive flow diagnostics for unsteady inlet flow distortion measurements in novel aircraft architectures. Prog. Aero. Sci. 130: 100810, https://doi.org/10.1016/j.paerosci.2022.100810.Search in Google Scholar
Doll, U., Röhle, I., Dues, M., and Kapulla, R. (2022b). Time-resolved multi-parameter flow diagnostics by filtered Rayleigh scattering: system design through multi-objective optimisation. Meas. Sci. Technol. 33: 105204, https://doi.org/10.1088/1361-6501/ac7cca.Search in Google Scholar
Doll, U., Kapulla, R., Steinbock, J., Dues, M., Migliorini, M., and Zachos, P.K. (2023). Seeding-free inlet flow distortion measurement by filtered Rayleigh scattering: diagnostic approach and verification. AIAA SciTech 2023 Forum, 23–27 Januar 2023, National Harbor, MD & Online. https://doi.org/10.2514/6.2023-1372.Search in Google Scholar
Fernandez-Cosials, M.K., Jimenez, G., and Lopez-Alonso, E. (2016). Analysis of a gas stratification break-up by a vertical jet using the GOTHIC code. Nucl. Eng. Des. 297: 123–135, https://doi.org/10.1016/j.nucengdes.2015.11.035.Search in Google Scholar
Fernando, H.J.S. (1991). Turbulent mixing in stratified fluids. Annu. Rev. Fluid. Mech. 23: 455–439, https://doi.org/10.1146/annurev.fl.23.010191.002323.Search in Google Scholar
Filippov, A., Grigoryev, S., Drobyshevsky, N., Kiselev, A., Shyukin, A., and Yudina, T. (2016). CMD simulation of ERCOSAM PANDA spray tests PE1 and PE2. Nucl. Eng. Des. 299: 81–94, https://doi.org/10.1016/j.nucengdes.2015.10.013.Search in Google Scholar
Filippov, A., Grigoryev, S.Y., Tarasov, O.V., and Yudina, T.A. (2014). CFD simulation of PANDA and MISTRA cooler tests of ERCOSAMSAMARA project. ICONE22.10.1115/ICONE22-30557Search in Google Scholar
Gallego-Marcos, I., Kudinov, P., Villanueva, W., Kapulla, R., Paranjape, S., Paladino, D., Jani, L., Puustinen, M., Räsänen, A., Pyy, L., et al.. (2018). Pool stratification and mixing induced by steam injection through spargers: analysis of the PPOOLEX and PANDA experiments. Nucl. Eng. Des. 337: 300–316, https://doi.org/10.1016/j.nucengdes.2018.07.004.Search in Google Scholar
Gallego-Marcos, I., Kudinov, P., Villanueva, W., Kapulla, R., Paranjape, S., Paladino, D., Jani, L., Puustinen, M., Räsänen, A., Pyy, L., et al.. (2019). Pool stratification and mixing induced by steam injection through spargers: CFD modelling of the PPOOLEX and PANDA experiments. Nucl. Eng. Des. 347: 67–85, https://doi.org/10.1016/j.nucengdes.2019.03.011.Search in Google Scholar
Guo, S., Cai, J., Zhang, H., Yin, H., and Yang, X. (2015). Study of the distribution of steam plumes in the PANDA facility using CFD code. Nucl. Eng. Des. 289: 81–91, https://doi.org/10.1016/j.nucengdes.2015.04.016.Search in Google Scholar
Hamdani, A., Soma, S., Abe, S., and Sibamoto, Y. (2023). CFD analysis of thermal radiation effects on large containment CIGMA vessel with weighted sum of gray gases (WSGG) model. In: International symposium on zero-carbon energy system, Tokyo Institute of Technology, 10–12 January, Tokyo, Japan, 2023.Search in Google Scholar
Ishay, L., Ziskind, G., Bieder, U., and Rashkovan, A. (2015). Nuclear reactor containment flows – modelling of stably stratified layer erosion by a turbulent jet. NURETH-16, Chicago, IL, August 30-September 4, Aug. 2015, Available at: https://cea.hal.science/cea-02509167.Search in Google Scholar
Kapulla, R., Mignot, G., Paranjape, S., Ryan, L., and Paladino, D. (2014). Large scale gas stratification erosion by a vertical helium-air jet. Sci. Technol. Nucl. Install. 2014: 197267, https://doi.org/10.1155/2014/197267.Search in Google Scholar
Kapulla, R., Mignot, G., Paranjape, S., Andreani, M., and Paladino, D. (2018). Large scale experiments representing a containment natural circulation loop during an accident scenario. Sci. Technol. Nucl. Install. 2018: 8989070, https://doi.org/10.1155/2018/8989070.Search in Google Scholar
Kapulla, R., Paranjape, S., Fehlmann, M., Suter, S., Doll, U., and Paladino, D. (2021). The effects of activated cooler power on the transient pressure decay and helium mixing in the PANDA facility. Nuclear Engineering and Technology 54: 2311–2320, https://doi.org/10.1016/j.net.2021.12.032.Search in Google Scholar
Kapulla, R., Paranjape, S., Doll, U., Kirkby, E., and Paladino, D. (2022). Experimental assessment of thermal radiation effects on containment atmospheres with varying steam content. Nuclear Engineering and Technology 54: 4348–4358, https://doi.org/10.1016/j.net.2022.07.001.Search in Google Scholar
Kapulla, R., Xiongguo, L., Kelm, S., Doll, U., Paranjape, S., and Paladino, D. (2023). Importance, influence and limits of CFD radiation modeling for containment atmosphere simulations. Nucl. Eng. Des. 411: 112408, https://doi.org/10.1016/j.nucengdes.2023.112408.Search in Google Scholar
Kelm, S., Klauck, M., Beck, S., Allelein, H.-J., Preusser, G., Sangiorgi, M., Klein-Hessling, W., Bakalov, I., Bleyer, A., Bentaib, A., et al.. (2014). Generic containment: detailed comparison of containment simulations performed on plant scale. Ann. Nucl. Energy 74: 165–172, https://doi.org/10.1016/j.anucene.2014.07.006.Search in Google Scholar
Kelm, S., Kapulla, R., and Allelein, H.-J. (2016). Erosion of a confined stratified layer by a vertical jet – detailed assessment of a CFD approach against the OECD/NEA PSI benchmark. Nucl. Eng. Des. 312: 228–238, https://doi.org/10.1016/j.nucengdes.2016.09.014.Search in Google Scholar
Kelm, S., Kampili, M., Liu, X., George, A., Schumacher, D., Druska, C., Struth, S., Kuhr, A., Ramacher, L., Allelein, H.-J., et al.. (2021). The tailored CFD package containment FOAM for analysis of containment atmosphere mixing, H2/CO mitigation and aerosol transport. Fluids 6: 100, https://doi.org/10.3390/fluids6030100.Search in Google Scholar
Krpan, R., Tiselj, I., and Kljenak, I. (2021). Simulations of PANDA and SPARC experiments on containment atmosphere mixing caused by vertical gas injection. Nucl. Eng. Des. 384: 111464, https://doi.org/10.1016/j.nucengdes.2021.111464.Search in Google Scholar
Kundu, P.K., Cohen, I.M., and Dowling, D.R. (2012). Fluid mechanics, 5th ed. Academic Press, Boston.Search in Google Scholar
Leibniz, G.W. (1962). Essais de théodicée: sur la bonté de Dieu, la liberté de l’homme et l’origine du mal. Éditions Montaigne, Paris.Search in Google Scholar
Liu, F., Sun, Z., Ding, M., and Bian, H. (2021). Research progress of hydrogen behaviors in nuclear power plant containment under severe accident conditions. Int. J. Hydrogen Energy 46: 36477–36502, https://doi.org/10.1016/j.ijhydene.2021.08.151.Search in Google Scholar
Liu, X., Kelm, S., Kampili, M., Kumar, G.V., and Allelein, H.-J. (2022). Monte Carlo method with SNBCK nongray gas model for thermal radiation in containment flows. Nucl. Eng. Des. 390: 111689, https://doi.org/10.1016/j.nucengdes.2022.111689.Search in Google Scholar
NEA (2012). OECD-SETH-2 project PANDA and MISTRA experiments – final summary report – investigation of key issues for the simulation of thermal hydraulic conditions in water reactor containment, Technical Report NEA/CSNI/R(2012)5. Nuclear Energy Agency, Available at: https://www.oecdnea.org/upload/docs/application/pdf/2021-02/csni-r2012-5.pdf (Accessed March 2024).Search in Google Scholar
NEA (2018). Resolving complex safety relevant issues related to hydrogen release in nuclear power plant containments during a postulated severe accident – resolving complex safety relevant issues related to hydrogen release in nuclear power plant containments during a postulated severe accident, Technical Report NEA/CSNI/R(2018)11. Nuclear Energy Agency, Nov. 2018, Available at: https://www.oecd-nea.org/jcms/pl_19876/resolving-complex-safety-relevant-issues-related-to-hydrogen-release-in-nuclear-power-plant-containments-during-a-postulated-severe-accident?details=true.Search in Google Scholar
Paladino, D., Andreani, M., Zboray, R., and Dreier, J. (2012). Toward a CFD-grade database addressing LWR containment phenomena. Nucl. Eng. Des. 253: 331–342, https://doi.org/10.1016/j.nucengdes.2011.08.064.Search in Google Scholar
Paladino, D., Andreani, M., Guentay, S., Mignot, G., Kapulla, R., Paranjape, S., Sharabi, M., Kisselev, A., Yudina, T., Filippov, A., et al.. (2016). Outcomes from the EURATOMROSATOM ERCOSAM SAMARA projects on containment thermal-hydraulics for severe accident management. Nucl. Eng. Des. 308: 103–114, https://doi.org/10.1016/j.nucengdes.2016.08.011.Search in Google Scholar
Paladino, D., Kapulla, R., Paranjape, S., Suter, S., and Andreani, M. (2022a). PANDA experiments within the OECD/NEA HYMERES-2 project on containment hydrogen distribution, thermal radiation and suppression pool phenomena. Nucl. Eng. Des. 392: 111777, https://doi.org/10.1016/j.nucengdes.2022.111777.Search in Google Scholar
Paladino, D., Paranjape, S., Mignot, G., and Kapulla, R. (2022b). Parametric study highlighting cooler and spray activation on the transient mixing of a three-gas composition in the panda facility. Prog. Nucl. Energy 150: 104283, https://doi.org/10.1016/j.pnucene.2022.104283.Search in Google Scholar
Paladino, D., Kapulla, R., Paranjape, S., Suter, S., Hug, C., Chae, M.-S., and Andreani, M. (2023). PANDA experimental database and further needs for containment analyses. Nucl. Eng. Des. 404: 112173, https://doi.org/10.1016/j.nucengdes.2023.112173.Search in Google Scholar
Paranjape, S., Kapulla, R., Mignot, G., and Paladino, D. (2017). Parametric study on density stratification erosion caused by a horizontal steam jet interacting with a vertical plate obstruction. Nucl. Eng. Des. 312: 351–360, https://doi.org/10.1016/j.nucengdes.2016.12.012.Search in Google Scholar
Raffel, M., Willert, C., Wereley, S., and Kompenhans, J. (2007). Particle image velocimetry, a practical guide. Springer, Berlin.10.1007/978-3-540-72308-0Search in Google Scholar
Rivière, P. and Soufiani, A. (2012). Updated band model parameters for H2O, CO2, CH4 and CO radiation at high temperature. Int. J. Heat Mass Transfer 55: 3349–3358, https://doi.org/10.1016/j.ijheatmasstransfer.2012.03.019.Search in Google Scholar
Sarikurt, F.S. and Hassan, Y.A. (2017). Large eddy simulations of erosion of a stratified layer by a buoyant jet. Int. J. Heat Mass Transfer 112: 354–365, https://doi.org/10.1016/j.ijheatmasstransfer.2017.04.134.Search in Google Scholar
Smith, B.L. (2007). A numerical investigation of three-dimensional flows in large volumes in the context of passive containment cooling in BWRs. Nucl. Eng. Des. 237: 1175–1184, https://doi.org/10.1016/j.nucengdes.2007.02.001.Search in Google Scholar
Tong, L., Guo, D., Wang, D., and Cao, X. (2021). Improvements of turbulence model for analysis of hydrogen stratification erosion by turbulent buoyant jet. Ann. Nucl. Energy 150: 107797, https://doi.org/10.1016/j.anucene.2020.107797.Search in Google Scholar
Tropea, C., Yarin, A.L., and Foss, J.F. (2007). Springer handbook of experimental fluid mechanics. Springer, Berlin, Heidelberg.10.1007/978-3-540-30299-5Search in Google Scholar
Visser, C., Siccama, N.B., Jayaraju, S.T., and Komen, E.M.J. (2014). Application of a CFD based containment model to different large-scale hydrogen distribution experiments. Nucl. Eng. Des. 278: 491–502, https://doi.org/10.1016/j.nucengdes.2014.08.005.Search in Google Scholar
Voltaire (1986). Candid: Oder Die Beste der Welten. GmbH, Verlag, Reclam, Philipp, jun.Search in Google Scholar
Vyskocil, L., Schmid, J., and Macek, J. (2014). CFD simulation of air – steam flow with condensation. Nucl. Eng. Des. 279: 147–157, https://doi.org/10.1016/j.nucengdes.2014.02.014.Search in Google Scholar
Wang, L.S. and Yan, B.H. (2021). The scaling technology in nuclear reactor thermal hydraulic. Ann. Nucl. Energy 161: 108440, https://doi.org/10.1016/j.anucene.2021.108440.Search in Google Scholar
Yadigaroglu, G., Andreani, M., Dreier, J., and Coddington, P. (2003). Trends and needs in experimentation and numerical simulation for LWR safety. Nucl. Eng. Des. 221: 205–223, https://doi.org/10.1016/S0029-5493(02)00339-4.Search in Google Scholar
Yang, J., Choi, S.-W., Lim, J., Lee, D.-Y., Rassame, S., Hibiki, T., and Ishii, M. (2013). Counterpart experimental study of ISP-42 PANDA tests on PUMA facility. Nucl. Eng. Des. 258: 249–257, https://doi.org/10.1016/j.nucengdes.2013.02.034.Search in Google Scholar
Zhang, H. and Modest, M.F. (2002). Evaluation of the Planck-mean absorption coefficients from HITRAN and HITEMP databases. J. Quant. Spectrosc. Radiat. Transf. 73: 649–653, https://doi.org/10.1016/S0022-4073(01)00178-9.Search in Google Scholar
© 2024 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- The 34th German CFD network of competence meeting: numerical 3D simulation of reactor primary cooling circuit and containment flows
- The European GO-VIKING project on flow-induced vibrations: overview and current status
- CFD simulation on droplet behaviour in post-dryout region
- Coupled AC2-CFD simulations for a high-pressure core melt accident scenario
- Validation of coupled ATHLET-OpenFOAM simulation on a large-scale single- and two-phase flow experiment
- CFD modelling of flashing flows for nuclear safety analysis: possibilities and challenges
- Implementation of the preCICE coupling interface for AC2/ATHLET
- Large-scale PANDA facility – radiation experiments and CFD calculations
- Overview on GRS CFD activities related to containment applications
- Calendar of events
Articles in the same Issue
- Frontmatter
- The 34th German CFD network of competence meeting: numerical 3D simulation of reactor primary cooling circuit and containment flows
- The European GO-VIKING project on flow-induced vibrations: overview and current status
- CFD simulation on droplet behaviour in post-dryout region
- Coupled AC2-CFD simulations for a high-pressure core melt accident scenario
- Validation of coupled ATHLET-OpenFOAM simulation on a large-scale single- and two-phase flow experiment
- CFD modelling of flashing flows for nuclear safety analysis: possibilities and challenges
- Implementation of the preCICE coupling interface for AC2/ATHLET
- Large-scale PANDA facility – radiation experiments and CFD calculations
- Overview on GRS CFD activities related to containment applications
- Calendar of events