Skip to main content
Log in

Numerical study on convective heat transfer of supercritical CO2 in vertically upward and downward tubes

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

The experimental measurement of supercritical pressure carbon dioxide (sCO2) heat transfer in vertical downward flow was performed in a circular tube with inner diameter of 10 mm. Then, a three-dimensional numerical investigation of sCO2 heat transfer in upward and downward flows was performed in a vertical heated circular tube. The influence of heat flux, mass flux, and operating pressure on heat transfer under different flow directions were discussed. According to the “pseudo-phase transition” viewpoint to supercritical fluids, the analogy to the subcritical inverted-annular film boiling model, the physical model to sCO2 heat transfer was established, where fluid region at the cross-section of circular tube was divided into gas-like region covering heated wall and core liquid-like phase region. Then, the thermal resistance mechanism which comprehensively reflected the effect of multiple factors including the thickness of the gas-like film or liquid-like region, fluid properties and turbulence on heat diffusion was proposed. Surprisingly, thermal resistance variation in upward flow is well identical with that of wall temperature and heat transfer deterioration is predicted successfully. In addition, compared with thermal resistance in the core liquid-like region, gas-like film formation is determined to be the primary factor affecting heat transfer behavior. Results also show that total thermal resistance in upward flow is always larger than that in downward flow. The investigation can provide valuable guide to design and optimize sCO2 heaters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Dostal V, Driscoll M J, Hejzlar P. A supercritical carbon dioxide cycle for next generation nuclear reactors. MIT-ANP-TR-100, 2004

  2. Xu J, Sun E, Li M, et al. Key issues and solution strategies for supercritical carbon dioxide coal fired power plant. Energy, 2018, 157: 227–246

    Article  Google Scholar 

  3. Lu S M. A global review of enhanced geothermal system (EGS). Renew Sustain Energy Rev, 2018, 81: 2902–2921

    Article  Google Scholar 

  4. Zeyghami M, Khalili F. Performance improvement of dry cooled advanced concentrating solar power plants using daytime radiative cooling. Energy Convers Manage, 2015, 106: 10–20

    Article  Google Scholar 

  5. Huang D, Wu Z, Sunden B, et al. A brief review on convection heat transfer of fluids at supercritical pressures in tubes and the recent progress. Appl Energy, 2016, 162: 494–505

    Article  Google Scholar 

  6. Chen L F, Liu D, Zhang H L, et al. Theoretical investigations on heat transfer to H2O/CO2 mixtures in supercritical region. Sci China Tech Sci, 2020, 63: 1018–1024

    Article  Google Scholar 

  7. Xu J, Liu C, Sun E, et al. Perspective of S-CO2 power cycles. Energy, 2019, 186: 115831

    Article  Google Scholar 

  8. Kim D E, Kim M H, Cha J E, et al. Numerical investigation on thermal-hydraulic performance of new printed circuit heat exchanger model. Nucl Eng Des, 2008, 238: 3269–3276

    Article  Google Scholar 

  9. Wen Z X, Lv Y G, Li Q. Comparative study on flow and heat transfer characteristics of sinusoidal and zigzag channel printed circuit heat exchangers. Sci China Tech Sci, 2020, 63: 655–667

    Article  Google Scholar 

  10. Pioro I L, Duffey R B. Experimental heat transfer in supercritical water flowing inside channels (survey). Nucl Eng Des, 2005, 235: 2407–2430

    Article  Google Scholar 

  11. Bourke P J, Pulling D J, Gill L E, et al. Forced convective heat transfer to turbulent CO2 in the supercritical region. Int J Heat Mass Transfer, 1970, 13: 1339–1348

    Article  Google Scholar 

  12. Jiang P X, Zhang Y, Xu Y J, et al. Experimental and numerical investigation of convectionheat transfer of CO2 at supercritical pressures in a vertical tube at low Reynolds numbers. Int J Therm Sci, 2008, 47: 998–1011

    Article  Google Scholar 

  13. Deng H, Zhu K, Xu G, et al. Heat transfer characteristics of RP-3 kerosene at supercritical pressure in a vertical circular tube. J Enh Heat Transf, 2012, 19: 409–421

    Article  Google Scholar 

  14. Shiralkar B S, Griffith P. Deterioration in heat transfer to fluids at supercritical pressure and high heat fluxes. J Heat Transfer, 1969, 91: 27–36

    Article  Google Scholar 

  15. Shiralkar B S, Griffith P. The effect of swirl, inlet conditions, flow direction, and tube diameter on the heat transfer to fluids at supercritical pressure. J Heat Transfer, 1970, 92: 465–471

    Article  Google Scholar 

  16. Wang H, Bi Q, Yang Z, et al. Experimental and numerical investigation of heat transfer from a narrow annulus to supercritical pressure water. Ann Nucl Energy, 2015, 80: 416–428

    Article  Google Scholar 

  17. Fan Y H, Tang G H. Numerical investigation on heat transfer of supercritical carbon dioxide in a vertical tube under circumferentially non-uniform heating. Appl Therm Eng, 2018, 138: 354–364

    Article  Google Scholar 

  18. Kim D E, Kim M H. Experimental investigation of heat transfer in vertical upward and downward supercritical CO2 flow in a circular tube. Int J Heat Fluid Flow, 2011, 32: 176–191

    Article  Google Scholar 

  19. Shen Z, Yang D, Wang S, et al. Experimental and numerical analysis of heat transfer to water at supercritical pressures. Int J Heat Mass Transfer, 2017, 108: 1676–1688

    Article  Google Scholar 

  20. Zhang S J, Xu X X, Liu C, et al. Experimental investigation on the heat transfer characteristics of supercritical CO2 at various mass flow rates in heated vertical-flow tube. Appl Therm Eng, 2019, 157: 113687

    Article  Google Scholar 

  21. Xie J, Liu D, Yan H, et al. A review of heat transfer deterioration of supercritical carbon dioxide flowing in vertical tubes: Heat transfer behaviors, identification methods, critical heat fluxes, and heat transfer correlations. Int J Heat Mass Transfer, 2020, 149: 119233

    Article  Google Scholar 

  22. Holman J P, Rea S N, Howard C E. Forced convection heat transfer to Freon 12 near the critical state in a vertical annulus. Int J Heat Mass Transfer, 1965, 8: 1095–1102

    Article  Google Scholar 

  23. Ackerman J W. Pseudoboiling heat transfer to supercritical pressure water in smooth and ribbed tubes. J Heat Transfer, 1970, 92: 490–497

    Article  Google Scholar 

  24. Yan C, Xu J, Zhu B, et al. Numerical analysis on heat transfer characteristics of supercritical CO2 in heated vertical up-flow tube. Materials, 2020, 13: 723

    Article  Google Scholar 

  25. Liao S M, Zhao T S. An experimental investigation of convection heat transfer to supercritical carbon dioxide in miniature tubes. Int J Heat Mass Transfer, 2002, 45: 5025–5034

    Article  Google Scholar 

  26. Jiang P X, Zhang Y, Shi R F. Experimental and numerical investigation of convection heat transfer of CO2 at supercritical pressures in a vertical mini-tube. Int J Heat Mass Transfer, 2008, 51: 3052–3056

    Article  Google Scholar 

  27. Li Z H, Jiang P X, Zhao C R, et al. Experimental investigation of convection heat transfer of CO2 at supercritical pressures in a vertical circular tube. Exp Therm Fluid Sci, 2010, 34: 1162–1171

    Article  Google Scholar 

  28. Gorelli F, Santoro M, Scopigno T, et al. Liquidlike behavior of supercritical fluids. Phys Rev Lett, 2006, 97: 245702

    Article  Google Scholar 

  29. Simeoni G G, Bryk T, Gorelli F A, et al. The Widom line as the crossover between liquid-like and gas-like behaviour in supercritical fluids. Nat Phys, 2010, 6: 503–507

    Article  Google Scholar 

  30. McMillan P F, Stanley H E. Going supercritical. Nat Phys, 2010, 6: 479–480

    Article  Google Scholar 

  31. Banuti D T. Crossing the widom-line-supercritical pseudo-boiling. J Supercrit Fluids, 2015, 98: 12–16

    Article  Google Scholar 

  32. Zhu B, Xu J, Yan C, et al. The general supercritical heat transfer correlation for vertical up-flow tubes: K number correlation. Int J Heat Mass Transfer, 2020, 148: 119080

    Article  Google Scholar 

  33. Elias E, Chambré P. Inverted-annular film boiling heat transfer from vertical surfaces. Nucl Eng Des, 1981, 64: 249–257

    Article  Google Scholar 

  34. Hammouda N, Groeneveld D C, Cheng S C. Two-fluid modelling of inverted annular film boiling. Int J Heat Mass Transfer, 1997, 40: 2655–2670

    Article  MATH  Google Scholar 

  35. Hsu Y Y, Westwater J W. Approximate theory for film boiling on vertical surfaces. Chem Eng Progress, 1960, 56: 15–24

    Google Scholar 

  36. Zhu B, Xu J, Wu X, et al. Supercritical “boiling” number, a new parameter to distinguish two regimes of carbon dioxide heat transfer in tubes. Int J Therm Sci, 2019, 136: 254–266

    Article  Google Scholar 

  37. Wang K, Xu X, Wu Y, et al. Numerical investigation on heat transfer of supercritical CO2 in heated helically coiled tubes. J Supercrit Fluids, 2015, 99: 112–120

    Article  Google Scholar 

  38. Menter F R. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J, 1994, 32: 1598–1605

    Article  Google Scholar 

  39. Jiang P X, Zhang Y, Zhao C R, et al. Convection heat transfer of CO2 at supercritical pressures in a vertical mini tube at relatively low Reynolds numbers. Exp Therm Fluid Sci, 2008, 32: 1628–1637

    Article  Google Scholar 

  40. Guo J, Xiang M, Zhang H, et al. Thermal-hydraulic characteristics of supercritical pressure CO2 in vertical tubes under cooling and heating conditions. Energy, 2019, 170: 1067–1081

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to JinLiang Xu.

Additional information

This work was supported by the National Key Research and Development Program of China (Grant No. 2017YFB0601801), the National Natural Science Foundation of China (Grant No. 51821004), and the Fundamental Research Funds for the Central Universities (Grant No. 2018ZD02).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yan, C., Xu, J., Zhu, B. et al. Numerical study on convective heat transfer of supercritical CO2 in vertically upward and downward tubes. Sci. China Technol. Sci. 64, 995–1006 (2021). https://doi.org/10.1007/s11431-020-1773-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-020-1773-9

Navigation