Skip to main content

Advertisement

Log in

Experimental investigation of buoyancy effects on convection heat transfer of supercritical CO2 flow in a horizontal tube

  • Original
  • Published:
Heat and Mass Transfer Aims and scope Submit manuscript

Abstract

The heat transfer characteristics of supercritical carbon dioxide (S-CO2) turbulent flow were investigated experimentally in a horizontal circular pipe with an inner diameter of 8.7 mm. Local convection coefficients and Nusselt numbers of the flow were obtained at different locations along the pipe with a constant heat flux ranging from 16 to 64 kW/m2. Experiments were performed for fluid mass flow rate ranging from 0.011 to 0.017 kg/s, an inlet fluid temperature ranging from 24 to 28 °C, and a flow pressure ranging from 7.5 to 9.0 MPa to investigate their effects on the convection heat transfer in the pipe. Both enhancement as well as deterioration in the heat transfer coefficient was observed for the flow conditions examined in this work. Experimental results were then compared with the widely used empirical correlation for pipe flow. Three commonly used buoyancy parameters were utilized to investigate their applicability in the present test conditions. Results indicate that all the parameters show a strong presence of buoyancy effects in the present test conditions. The trend and magnitude of these parameters, however, do not agree with the trend and magnitude of heat transfer enhancement and deterioration along the pipe.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Abbreviations

A :

Area (m2)

Bu:

Buoyancy parameter

cp :

Specific heat (kJ/kg K)

D:

Diameter (m)

g:

Gravity (m/s2)

Gr:

Grashof number; \(\frac{{g\beta \left( {T_{w} - T_{b} } \right)D^{3} }}{{v_{b}^{2} }}\)

h:

Heat transfer coefficient (W/m2 K)

i:

Enthalpy (kJ/kg)

k:

Thermal conductivity (m W/m K)

L:

Length (m)

\(\dot{m}\) :

Mass flow rate (kg/s)

Nu :

Nusselt number; \(\frac{hD}{k}\)

P:

Pressure (Pa)

Pr:

Prandtl number

q″:

Heat flux (kW/m2)

Re:

Reynolds number; \(\frac{{4\dot{m}}}{\pi \mu D}\)

T :

Temperature (K)

TC :

Thermocouple

x:

Distance from the inlet (m)

β:

Thermal expansion (K−1)

ρ:

Density (kg/m3)

µ:

Dynamic viscosity (µPa s)

ν:

Kinematic viscosity (m2/s)

b:

Bulk

c:

Convection/conventional

DB:

Dittus-Boelter

exp:

Experiment

in:

Inner or inlet

j:

Jackson

l:

Local

out:

Outer or outlet

p:

Petukhov

pc:

Pseudocritical

t:

Total

tu:

Cross-sectional

v:

Vertical

w:

Evaluated at wall temperature

References

  1. Dostal V (2000) A supercritical carbon dioxide cycle for next generation nuclear reactor. PhD thesis, MIT

  2. Kruizenga AM (2010) Heat transfer and pressure drop measurements in prototypic heat exchangers for the supercritical carbon dioxide brayton power cycles. PhD thesis, University of Wisconsin

  3. Wright SA, Radel RF, Fuller R (2010) Engineering performance of supercritical CO2 brayton cycles. In: Proceedings of ICAPP 10, San Diego, CA, 13–17 June 2010

  4. Li H, Kruizenga A, Anderson M, Corradini M, Luo Y, Wang H, Li H (2011) Development of a new forced convection heat transfer correlation for CO2 in both heating and cooling modes at supercritical pressures. Int J Therm Sci 50(12):2430–2442

    Article  Google Scholar 

  5. Conboy T, Wright S, Pasch J, Fleming D, Rochau G (2012) Performance characteristics of an operating supercritical CO2 Brayton cycle, J Eng Gas Turbines Power, 134(11):111703(12 pages)

  6. Dostal V, Hejzlar P, Driscoll MJ (2006) The supercritical carbon dioxide power cycle: comparison to other advanced power cycles. Nucl Technol 154(3):283–301

    Article  Google Scholar 

  7. Wright SA, Conboy TM, Parma EJ, Lewis TG, Rochau GA, Suo-Anttila AJ (2011) Summary of the sandia supercritical CO2 development program. In: S-CO2 power cycle symposium, Boulder, Colorado, 24–25 May 2011

  8. Pioro IL, Khartabil HF, Duffey RB (2004) Heat transfer to supercritical fluids flowing in channels-empirical correlations (survey). Nucl Eng Des 230(1–3):69–91

    Article  Google Scholar 

  9. Pioro IL, Duffey RB (2007) Heat transfer and hydraulic resistance at supercritical pressures in power-engineering applications. ASME, Chaps. 2, 6, 11, Appendix D. pp. 5–16, 83–104, 147–174, 247–267

  10. Pioro IL, Mokry S (2011) Heat transfer to fluids at supercritical pressures. Heat transfer-theoretical analysis. Experimental Investigations and Industrial Systems, InTech, Chap. 19

  11. Yoo JY (2013) The Turbulent Flows of Supercritical Fluids with Heat transfer. Ann Rev Fluid Mech 45:495–525

    Article  Google Scholar 

  12. Liao SM, Zhao TS (2002) Measurements of heat transfer coefficients from supercritical carbon dioxide flowing in horizontal mini/micro channels. J Heat Transf 124(3):413–420

    Article  Google Scholar 

  13. Bruch A, Bontemps A, Colasson S (2009) Experimental investigation of heat transfer of supercritical carbon dioxide flowing in a cooled vertical tube. Int J Heat Mass Transf 52(11–12):2589–2598

    Article  Google Scholar 

  14. Kim DE, Kim Moo-Hwan (2011) Experimental investigation of heat transfer in vertical upward and downward supercritical CO2 flow in a circular tube. Int J Heat Fluid Flow 32(1):176–191

    Article  Google Scholar 

  15. Bae YY, Kim HY, Kang DJ (2010) Forced and mixed convection heat transfer to supercritical CO2 vertically flowing in a uniformly heated circular tube. Exp Therm Fluid Sci 34(8):1295–1308

    Article  Google Scholar 

  16. Li ZH, Jiang PX, Zhao CR, Zhang Y (2010) Experimental investigation of convection heat transfer of CO2 at supercritical pressures in a vertical circular tube. Exp Therm Fluid Sci 34(8):1162–1171

    Article  Google Scholar 

  17. Hwan HK, Kim Y, Song JH, Bae YY (2008) Heat transfer to supercritical pressure carbon dioxide flowing upward through tubes and a narrow annulus passage. Prog Nucl Energy 50(2–6):518–525

    Google Scholar 

  18. Cheng X, Yang YH, Huang SF (2009) A simplified method for heat transfer prediction of supercritical fluids in circular tubes. Ann Nucl Energy 36(8):1120–1128

    Article  Google Scholar 

  19. Duffey RB, Pioro IL (2005) Experimental heat transfer of supercritical carbon dioxide flowing inside channels (survey). Nucl Eng Des 235(8):913–924

    Article  Google Scholar 

  20. Kakac S, Shah RK, Aung W (1987) Handbook of single-phase convective heat transfer. Wiley, Chap 18

    Google Scholar 

  21. Jackson JD, Hall WB (1979) Influences of buoyancy on heat transfer to fluids flowing in vertical tubes under turbulent conditions. In: Kakac S, Spalding DB (eds) Turbulent forced convection in channels and bundles, vol 2. Hemisphere, New York, pp 613–640

    Google Scholar 

  22. Jiang PX, Zhang Y, Zhao CR, Shi RF (2008) Convection heat transfer of CO2 at supercritical pressures in a vertical mini tube at relatively low Reynolds number. Exp Therm Fluid Sci 32:1628–1637

    Article  Google Scholar 

  23. Wensheng L, Zhongxuan D, Anzhong G (2012) Analysis on heat transfer correlations of supercritical CO2 cooled in horizontal circular tubes. Heat Mass Transf 48(4):705–711

    Article  Google Scholar 

  24. Adebiyi GA, Hall WB (1976) Experimental investigation of heat transfer to supercritical pressure carbon dioxide in a horizontal pipe. Int J Heat Mass Transf 19(7):715–720

    Article  Google Scholar 

  25. Petukhov BS, Polyakov AF, Kuleshov VA, Shaker YL (1974) Turbulent flow and heat transfer in horizontal tubes with substantial influence of thermo-gravitational forces. ASME Paper NO. NC 4:8

    Google Scholar 

  26. Schnurr NM (1969) Heat transfer to carbon dioxide in the immediate vicinity of the critical point. J Heat Transf 91(1):16–20

    Article  Google Scholar 

  27. Liao SM, Zhao TS (2002) An experimental investigation of convection heat transfer to supercritical carbon dioxide in miniature tubes. Int J Heat Mass Transf 45(25):5025–5034

    Article  Google Scholar 

  28. Tanimizu K, Sadr R (2012) Experimental investigation of heat transfer characteristics of pseudocritical carbon dioxide in a circular horizontal tube. ASME Paper No. HT2012-58331

  29. NIST Standard Reference Database 23 version 9.0 (REFPROP)

  30. Incropera FP, Dewitt DP, Bergman TL, Lavine AS (2007) Fundamentals of heat and mass transfer. Wiley, New York, Chap. 8

  31. Moffat RJ (1982) Contributions to the theory of single-sample uncertainty Analysis. J Fluids Eng (Trans ASME) 104(2):250–260

    Article  Google Scholar 

Download references

Acknowledgments

This publication was made possible by NPRP Grants # 08-494-193 and 09-1183-2-461 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the authors. The authors wish to thank Dr. Devesh Ranjan at Georgia Institute of Technology for his insight and constructive advice in this project.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Reza Sadr.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tanimizu, K., Sadr, R. Experimental investigation of buoyancy effects on convection heat transfer of supercritical CO2 flow in a horizontal tube. Heat Mass Transfer 52, 713–726 (2016). https://doi.org/10.1007/s00231-015-1580-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00231-015-1580-9

Keywords

Navigation