A two-level machine learning approach for predicting thermal striping in T-junctions with upstream elbow

Reference

• C. Betts, A. Judd and M. Lewis, “Avoiding thermal striping damage: experimentally-based design procedures for high-cycle thermal fatigue,” presented at the IWGFR-90, Vienna, Austria: IAEA, 1994.
   Google Scholar
• O. Gelineau, M. Sperandio, P. Martin, J. B. Ricard, L. Martin and A. Bougault, “Thermal fluctuation problems encountered in LMFRs,” presented at the IWGFR-90, Vienna, Austria: IAEA, 1994.
   Google Scholar
• V. Sobolev and N. Kuzavkov, “Identification of places with fluid temperatures in BN 600 reactor and reactor systems,” presented at the IWGFR-90, Vienna, Austria: IAEA, 1994.
   Google Scholar
• H. Shulz, “Experience with thermal fatigue in LWR piping caused by mixing and stratification,” in Proc. Exp. Thermal Fatigue LWR Piping Caused Mix. Stratif. Stratif, Paris, France: OECD, 1998.
   Google Scholar
• V. N. Shah, A. G. Ware, C. L. Atwood, M. B. Sattison, R. S. Hartley and C. Hsu, “Assessment of field experience related to pressurized water reactor primary system leaks,” Idaho Nat. Lab., Idaho Falls, ID, INEEL/CON9900037, 1999.
   Google Scholar
• M. Dahlberg, et al., “Development of a European procedure for assessment of high cycle thermal fatigue in light water reactors: final report of the NESC-thermal fatigue project,” Eur. Comm., Petten, Netherlands, EUR 22763 EN, 2007.
   Google Scholar
• M. Hirota, M. Kuroki, H. Nakayama, H. Asano and S. Hirayama, “Promotion of turbulent thermal mixing of hot and cold airflows in T-junction,” Flow Turbulence Combust., vol. 81, no. 1-2, pp. 321–336, Jul. 2008. DOI: 10.1007/s10494-007-9111-5.
   Web of Science ®Google Scholar
• M. Nuruzzaman, W. Pao, F. Ejaz and H. Ya, “A preliminary numerical investigation of thermal mixing efficiency in T-junctions with different flow configurations,” IJHT., vol. 39, no. 5, pp. 1590–1600, 2021. DOI: 10.18280/ijht.390522.
   Google Scholar
• A. Sakowitz, M. Mihaescu and L. Fuchs, “Turbulent flow mechanisms in mixing T-junctions by Large Eddy Simulations,” Int. J. Heat Fluid Flow, vol. 45, pp. 135–146, Feb. 2014. DOI: 10.1016/j.ijheatfluidflow.2013.06.014.
   Web of Science ®Google Scholar
• V. Radu, E. Paffumi, N. Taylor and K.-F. Nilsson, “A study on fatigue crack growth in the high cycle domain assuming sinusoidal thermal loading,” Int. J. Press. Vessels Pip, vol. 86, no. 12, pp. 818–829, Dec. 2009. DOI: 10.1016/j.ijpvp.2009.10.007.
   Web of Science ®Google Scholar
• A. G. Miller, “Crack propagation due to random thermal fluctuations: effect of temporal incoherence,” Int. J. Press. Vessels Pip, vol. 8, no. 1, pp. 15–24, Jan. 1980. DOI: 10.1016/0308-0161(80)90015-0.
   Google Scholar
• V. Radu and E. Paffumi, “A stochastic approach of thermal fatigue crack growth (LEFM) in mixing tees,” presented at the Press. Vessel Piping Conf, ASME, 2010, pp. 1031–1040. DOI: 10.1115/PVP2010-25888.
   Google Scholar
• O. Costa Garrido, S. El Shawish and L. Cizelj, “Uncertainties in the thermal fatigue assessment of pipes under turbulent fluid mixing using an improved spectral loading approach,” Int. J. Fatigue, vol. 82, pp. 550–560, Jan. 2016. DOI: 10.1016/j.ijfatigue.2015.09.010.
   Web of Science ®Google Scholar
• A. Timperi, “Development of a spectrum method for modelling fatigue due to thermal mixing,” Nucl. Eng. Des, vol. 331, pp. 136–146, May 2018. DOI: 10.1016/j.nucengdes.2018.02.039.
   Web of Science ®Google Scholar
• A. Tokuhiro and N. Kimura, “An experimental investigation on thermal striping: mixing phenomena of a vertical non-buoyant jet with two adjacent buoyant jets as measured by ultrasound Doppler velocimetry,” Nucl. Eng. Des, vol. 188, no. 1, pp. 49–73, Apr. 1999. DOI: 10.1016/S0029-5493(99)00006-0.
   Web of Science ®Google Scholar
• H. Kamide, M. Igarashi, S. Kawashima, N. Kimura and K. Hayashi, “Study on mixing behavior in a tee piping and numerical analyses for evaluation of thermal striping,” Nucl. Eng. Des, vol. 239, no. 1, pp. 58–67, Jan. 2009. DOI: 10.1016/j.nucengdes.2008.09.005.
   Web of Science ®Google Scholar
• M. Tanaka and K. Nagasawa, “Benchmark analysis of thermal striping phenomena in planar triple parallel jets tests for fundamental validation of fluid-structure thermal interaction code for sodium-cooled fastreactor,” in 16th Int. Top. Meet. Nucl. React. Therm. Hydraul (NURETH-16, Chicago, USA, 2015.
   Google Scholar
• G. Lenci, “A methodology based on local resolution of turbulent structures for effective modeling of unsteady flows,” Ph.D. dissertation, Dept. Nucl. Sci. Eng., Massachusetts Inst. Technol., 2016.
   Google Scholar
• G. Lenci, J. Feng and E. Baglietto, “A generally applicable hybrid unsteady Reynolds-averaged Navier–Stokes closure scaled by turbulent structures,” Phys. Fluids., vol. 33, no. 10, pp. 105117, 2021. DOI: 10.1063/5.0065203.
   Web of Science ®Google Scholar
• W. R. Dean and J. Hurst, “Note on the motion of fluid in a curved pipe,” Philos. Mag. Ser., vol. 4, no. 20, pp. 208–223, 1927. DOI: 10.1080/14786440708564324.
   Google Scholar
• P. M. Ligrani and R. D. Niver, “Flow visualization of Dean vortices in a curved channel with 40 to 1 aspect ratio,” Phys. Fluids., vol. 31, no. 12, pp. 3605–3617, Dec. 1988. DOI: 10.1063/1.866877.
   Web of Science ®Google Scholar
• C. Brücker, “A time-recording DPIV-study of the swirl-switching effect in a 90° bend flow,” presented at the Proc. Eight Int. Symp. Flow Vis., Sorrento, Italy, Sep. 1998.
   Google Scholar
• F. Rütten, W. Schröder and M. Meinke, “Large-eddy simulation of low frequency oscillations of the Dean vortices in turbulent pipe bend flows,” Phys. Fluids., vol. 17, no. 3, pp. 035107, Mar. 2005. DOI: 10.1063/1.1852573.
   Web of Science ®Google Scholar
• R. Tunstall, D. Laurence, R. Prosser and A. Skillen, “Large eddy simulation of a T-Junction with upstream elbow: the role of Dean vortices in thermal fatigue,” Appl. Therm. Eng., vol. 107, pp. 672–680, 2016. DOI: 10.1016/j.applthermaleng.2016.07.011.
   Web of Science ®Google Scholar
• L. Xu, “A second generation URANS approach for application to aerodynamic design and optimization in the automotive industry,” Ph.D. dissertation, Dept. Nucl. Sci. Eng., Massachusetts Inst. Technol., 2020.
   Google Scholar
• M. J. Acton, G. Lenci and E. Baglietto, “Structure-based resolution of turbulence for sodium fast reactor thermal striping applications,” presented at the 16th Int. Top. Meet. Nucl. React. Therm. Hydraul (NURETH-16), 2015.
   Google Scholar
• J. Feng, T. Frahi and E. Baglietto, “STRUCTure-based URANS simulations of thermal mixing in T-junctions,” Nucl. Eng. Des., vol. 340, pp. 275–299, Dec. 2018. DOI: 10.1016/j.nucengdes.2018.10.002.
   Web of Science ®Google Scholar
• S. V. Patankar and D. B. Spalding, “A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows,” Int. J. Heat Mass Transf., vol. 15, no. 10, pp. 1787–1806, Oct. 1972. DOI: 10.1016/0017-9310(72)90054-3.
   Web of Science ®Google Scholar
• S. B. Pope, Turbulent Flows. Cambridge, United Kingdom: Cambridge University Press, 2000.
   Google Scholar
• A. K. M. F. Hussain, “Coherent structures and turbulence,” J. Fluid Mech., vol. 173, pp. 303–356, Dec. 1986. DOI: 10.1017/S0022112086001192.
   Web of Science ®Google Scholar
• H. E. Fiedler, “Coherent structures in turbulent flows,” Prog. Aerosp. Sci., vol. 25, no. 3, pp. 231–269, Jan. 1988. DOI: 10.1016/0376-0421(88)90001-2.
   Google Scholar
• J. L. Lumley, “The structure of inhomogeneous turbulent flows,” Atmos. Turbul. Radio. Wave Propag., vol. 7, no. 4, pp. 166-177, 1967.
   Google Scholar
• S. V. Gordeyev and F. O. Thomas, “Coherent structure in the turbulent planar jet. Part 2. Structural topology via POD eigenmode projection,” J. Fluid Mech., vol. 460, pp. 349–380, Jun. 2002. DOI: 10.1017/S0022112002008364.
   Web of Science ®Google Scholar
• A. Kalpakli Vester, R. Örlü and P. H. Alfredsson, “POD analysis of the turbulent flow downstream a mild and sharp bend,” Exp Fluids, vol. 56, no. 3, pp. 57, Mar. 2015. DOI: 10.1007/s00348-015-1926-6.
   Web of Science ®Google Scholar
• Z. Wu, D. Laurence, S. Utyuzhnikov and I. Afgan, “Proper orthogonal decomposition and dynamic mode decomposition of jet in channel crossflow,” Nucl. Eng. Des., vol. 344, pp. 54–68, Apr. 2019. DOI: 10.1016/j.nucengdes.2019.01.015.
   Web of Science ®Google Scholar
• Y.-J. Wang, E. Baglietto and K. Shirvan, “Development of a two-level ML spatial-temporal framework for industrial thermal striping applications,” Jan, vol. 13, 105337, 2023. DOI: 10.48550/arXiv.2301.05667.
   Google Scholar
• D. Xiao, F. Fang, A. G. Buchan, C. C. Pain, I. M. Navon and A. Muggeridge, “Non-intrusive reduced order modelling of the Navier–Stokes equations,” Comput. Methods Appl. Mech. Eng., vol. 293, pp. 522–541, Aug. 2015. DOI: 10.1016/j.cma.2015.05.015.
   Web of Science ®Google Scholar
• M. Guo and J. S. Hesthaven, “Data-driven reduced order modeling for time-dependent problems,” Comput. Methods Appl. Mech. Eng., vol. 345, pp. 75–99, Mar. 2019. DOI: 10.1016/j.cma.2018.10.029.
   Web of Science ®Google Scholar
• C. Wang, et al., “Greedy Non-Intrusive Reduced-Order Model’s application in dynamic blowing and suction flow control to suppress the flow separation,” Comput. Fluids., vol. 237, pp. 105337, Apr. 2022. DOI: 10.1016/j.compfluid.2022.105337.
   Web of Science ®Google Scholar
• H. Ogawa, M. Igarashi, N. Kimura and H. Kamide, “Experimental study on fluid mixing phenomena in T-pipe junction with upstream elbow,” presented at the 11th Int. Top. Meet. Nucl. React. Therm. Hydraul (NURETH-11), Avignon, France, 2005.
   Google Scholar
• Y. Utanohara, K. Miyoshi and A. Nakamura, “Conjugate numerical simulation of wall temperature fluctuation at a T-junction pipe,” Mech. Eng. J., vol. 5, no. 3, pp. 18–00044–18-00044, 2018. DOI: 10.1299/mej.18-00044.
   Web of Science ®Google Scholar