DOI QR코드

DOI QR Code

Numerical analysis of Poiseuille-Rayleigh-Bénard convection in supercritical carbon dioxide

  • Received : 2021.12.07
  • Accepted : 2022.04.17
  • Published : 2022.09.25

Abstract

The supercritical carbon dioxide (S-CO2) Brayton cycle is an important energy conversion technology for the fourth generation of nuclear energy. Since the printed circuit heat exchanger (PCHE) used in the S-CO2 Brayton cycle has narrow channels, Rayleigh-Bénard (RB) convection is likely to exist in the tiny channels. However, there are very few studies on RB convection in supercritical fluids. Current research on RB convection mainly focuses on conventional fluids such as water and air that meet the Boussinesq assumption. It is necessary to study non-Boussinesq fluids. PRB convection refers to RB convection that is affected by horizontal incoming flow. In this paper, the computational fluid dynamics simulation method is used to study the PRB convection phenomenon of non-Boussinesq fluid-supercritical carbon dioxide. The result shows that the inlet Reynolds number (Re) of the horizontal incoming flow significantly affects the PRB convection. When the inlet Re remains unchanged, with the increase of Rayleigh number (Ra), the steady-state convective pattern of the fluid layer is shown in order: horizontal flow, local traveling wave, traveling wave convection. If Ra remains unchanged, as the inlet Re increases, three convection patterns of traveling wave convection, local traveling wave, and horizontal flow will appear in sequence. To characterize the relationship between traveling wave convection and horizontal incoming flow, this paper proposes the relationship between critical Reynolds number and relative Rayleigh number (r).

Keywords

Acknowledgement

This work was supported by the Fundamental Research Funds in Xiamen University (Grant No. 2021-JCJQ-JJ-0383).

References

  1. T. Abram, S. Ion, Generation-IV nuclear power: a review of the state of the science, Energy Pol. 36 (2008) 4323-4330. https://doi.org/10.1016/j.enpol.2008.09.059
  2. V. Dostal, A Super Critical Carbon Dioxide Cycle for Next Generation Nuclear Reactors, Massachusetts Institute of Technology, 2004.
  3. V. Dostal, P. Hejzlar, M.J. Driscoll, High-Performance supercritical carbon dioxide cycle for next-generation nuclear reactors, Nucl. Technol. 154 (2017) 265-282.
  4. A. Moisseytsev, J.J. Sienicki, Investigation of alternative layouts for the supercritical carbon dioxide Brayton cycle for a sodium-cooled fast reactor, Nucl. Eng. Des. 239 (2009) 1362-1371. https://doi.org/10.1016/j.nucengdes.2009.03.017
  5. S.A. McKee, Implementation of Vented Fuel Assemblies in the Supercritical CO2-Cooled Fast Reactor, Massachusetts Institute of Technology, 2008.
  6. M.A. Pope, Thermal Hydraulic Design of a 2400 MW th Direct Supercritical CO2-Cooled Fast Reactor, Massachusetts Institute of Technology, 2006.
  7. C.S. Handwerk, M.J. Driscoll, P. Hejzlar, Optimized core design of a supercritical carbon dioxide-cooled fast reactor, Nucl. Technol. 164 (2017) 320-336.
  8. V. Dostal, M.J. Driscoll, P. Hejzlar, A Supercritical Carbon Dioxide Cycle for Next Generation Nuclear Reactors, 2004.
  9. J.F. Hinze, G.F. Nellis, M.H. Anderson, Cost comparison of printed circuit heat exchanger to low cost periodic flow regenerator for use as recuperator in a sCO2 Brayton cycle, Appl. Energy 208 (2017) 1150-1161. https://doi.org/10.1016/j.apenergy.2017.09.037
  10. Z. Liu, X. Shi, Z. Wei, Printed circuit heat exchanger in S-CO2 Breton cycle, Energy Conserv. (2019).
  11. J.-W. Seo, Y.-H. Kim, D. Kim, Y.-D. Choi, K.-J. Lee, Heat transfer and pressure drop characteristics in straight microchannel of printed circuit heat exchangers, Entropy 17 (2015) 3438-3457. https://doi.org/10.3390/e17053438
  12. S. Jeon, Y.-J. Baik, C. Byon, W. Kim, Thermal performance of heterogeneous PCHE for supercritical CO2 energy cycle, Int. J. Heat Mass Tran. 102 (2016) 867-876. https://doi.org/10.1016/j.ijheatmasstransfer.2016.06.091
  13. D. Jia, Z. Zhao, Y. Zhang, Y. Zhou, Y. Zhang, L. Zhang, Numerical study of flow and heat transfer characteristics of supercritical LNG in micro-channel of printed circuit vaporizer, Ship Eng. (2017).
  14. J.-E. Cha, T.-H. Lee, J.-H. Eoh, S.-H. Seong, S.-O. Kim, D.-E. Kim, et al., Development of a supercritical CO2 brayton energy conversion system coupled with a sodium cooled fast reactor, Nucl. Eng. Technol. 41 (2009) 1025-1044. https://doi.org/10.5516/NET.2009.41.8.1025
  15. H. Benard, Les tourbillons cellulaires dans une nappe liquide. - Methodes optiques d'observation et d'enregistrement, Journal de Physique Theorique et Appliquee. 10 (1901) 254-266. https://doi.org/10.1051/jphystap:0190100100025400
  16. L.L.I.X. Rayleigh, On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Lond. Edinb. Dublin Phil. Mag. J. Sci. 32 (1916) 529-546. https://doi.org/10.1080/14786441608635602
  17. G. Accary, P. Bontoux, B. Zappoli, Turbulent RayleigheBenard convection in a near-critical fluid by three-dimensional direct numerical simulation, J. Fluid Mech. 619 (2009) 127-145. https://doi.org/10.1017/S0022112008004175
  18. H.-D. Xi, S.I.U. Lam, K.-Q. Xia, From laminar plumes to organized flows: the onset of large-scale circulation in turbulent thermal convection, J. Fluid Mech. 503 (2004) 47-56. https://doi.org/10.1017/S0022112004008079
  19. P. Hao, Experimental Studies of Prandtl-Dependence of Plume and Large Scale Circulation in Rayleigh-Benard Convection, Harbin Institute of Technology, China, 2019.
  20. B. Shen, P. Zhang, Numerical study of Rayleigh-Benard convection in a supercritical fluid, J. Eng. Thermophys. 33 (2012) 661-664.
  21. E. Lemmon, M. Huber, M. McLinden, NIST Standard Reference Database 23: NIST Reference Fluid Thermodynamic and Transport Properties-REFPROP, 2013. Ver. 9.1.