Skip to main content
Log in

An experimental study on the transition criteria of open channel natural convection flows

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Natural convection experiments were carried out for a wide range of the Grashof number from 104 to 5 × 109 or for the Rayleigh number from 107 to 1013 in order to seek the proper transition criteria from laminar to turbulent. Using the analogy concept, heat transfer systems were simulated by corresponding mass transfer systems. The copper sulfate electroplating system was chosen as the mass transfer system. The experimental results closely reproduced the McAdams’s correlation for laminar and Fouad’s for turbulent. The Sherwood numbers obtained from the experiment were proportional to the 1/4 power of Rayleigh number or Grashof number at laminar region and the near 1/3 power at turbulent region as the well known theory. This paper concludes that the proper transition criteria of the natural convection should be the Grashof number of 109. The originality of this paper comes from the fact that the study deals with very large value of Schmidt number and that by using the analogy experiment methodology, high values of Rayleigh number and Grashof number were achieved with a relatively short test facility.

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. A. Bejan, Convection Heat Transfer, 3rd ed., Wiley, New York (2003) 186–528.

    Google Scholar 

  2. F. P. Incropera and D. P. DeWitt, Introduction to heat transfer, Wiley & Sons Inc., New York, USA (2001) 380–407.

    Google Scholar 

  3. P. S. Lykoudis, Private communication to A, Bejan (1989).

  4. T. Fujii and H. Uehara, Laminar natural convection heat transfer, Int. J. Heat Mass Transfer, 13 (1970) 607–615.

    Article  Google Scholar 

  5. W. P. Farmer and W. T. McKie, Natural convection from a vertical isothermal surface in oil, ASME Paper No. 64-WA-12, (1959).

  6. A. Bejan and J. L. Lage, The prandtl number effect on the transition in natural convection along a vertical surface, Journal of Heat Transfer, 112 (33) (1990) 787–790.

    Article  Google Scholar 

  7. K. U. Kang and B. J. Chung, The experimental study on transition criteria of natural convection inside a vertical pipe, Int. J. Heat Mass Transfer, 37(8) (2010) 1057–1063.

    Article  Google Scholar 

  8. R. L. Mahajan and B. Gebhart, An experimental determination of transition limits in a vertical natural convection flow adjacent to a surface, Journal of Fluid Mechanics, 91 (1979) 131–154.

    Article  Google Scholar 

  9. A. Bejan and A. D. Kraus, Heat transfer handbook, Wiley & Sons Inc., New York, USA (1995) 268–287.

    Google Scholar 

  10. R. Godaux and B. Gebhart, An experimental study of the transition of natural convection flow adjacent to a vertical surface, Int. J. Heat Mass Transfer, 17 (1974) 93–107.

    Article  Google Scholar 

  11. S. H. Ko, D. W. Moon and B. J. Chung, Applications of electroplating method for heat transfer studies using analogy concept, Nuclear Engineering and Technology, 38(3) (2006).

  12. Y. S. Touloukian, G. A. Hawkins and M. Jakob, Heat transfer by free convection from heated vertical surfaces to liquids, Transactions ASME, 70 (1948) 13–18.

    Google Scholar 

  13. J. N. Agar, Diffusion and convection at electrodes, Discussion of Faraday Soc. (1947) 27–37.

  14. V. G. Levich, Physiochemical hydrodynamics, Prentice-Hall, Inc., New York, USA (1962).

    Google Scholar 

  15. J. R. Selman and C. W. Tobias, Mass transfer measurement by the limiting current technique, Adv. Chem. Eng., 10 (1978) 211–318.

    Article  Google Scholar 

  16. E. J. Fenech and C. W. Tobias, Mass transfer by free convection at horizontal electrodes, Electrochimica Acta, 2 (1960) 311–325.

    Article  Google Scholar 

  17. G. U. Kang and B. J. Chung, The effects of the anode size and position on the limiting currents of natural convection mass transfer experiments in a vertical pipe, Trans. of the KSME(B), 34 (2010) 1–8.

    Google Scholar 

  18. B. J. Chung, J. H. Heo, M. H. Kim and G. U. Kang, The effect of top and bottom lids on natural convection inside a vertical cylinder, International Journal of Heat and Mass Transfer, 54 (2011) 135–141.

    Article  MATH  Google Scholar 

  19. J. H. Heo and B. J. Chung, Visualization of natural convection heat transfer on horizontal cylinder, Korean Society of Mechanical Engineers, 35(1) (2011) 43–51.

    Article  Google Scholar 

  20. B. J. Ko, W. J. Lee and B. J. Chung, Turbulent mixed convection heat transfer experiments in a vertical cylinder using analogy concept, Nuclear Engineering and Design, 240(12) (2010) 3967–3973.

    Article  Google Scholar 

  21. G. U. Kang and B. J. Chung, The experimental study on transition criteria of natural convection inside a vertical pipe, International Communications in Heat and Mass Transfer, 37(8) (2010) 1057–1063.

    Article  Google Scholar 

  22. B. J. Ko and B. J. Chung, Study on the laminar mixed convection of developing flow in a vertical pipe, Transactions of the KSME B, 34(5) (2010) 481–489.

    Google Scholar 

  23. J. Krysa, A. A. Wragg, D. M. Thomas and M. A. Patrick, Free convective mass transfer in open upward-facing cylindrical cavities, Chemical Engineering Journal, 79 (2000) 179–186.

    Article  Google Scholar 

  24. W. H. McAdams, Heat transmission, 3rd ed., McGraw-Hill, New York, USA (1954).

    Google Scholar 

  25. M. G. Fouad and N. Ibl, Electrochim. Acta 9 (1964) 1071.

    Article  Google Scholar 

  26. H. W. Coleman et al., Experimentation and uncertainty analysis for engineers, John Wiley & Sons, Second ed. (1999).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bum-Jin Chung.

Additional information

Recommended by Associate Editor Man-Yeong Ha

Bong-Jin Ko is a nuclear engineer in the ACT engineering company. He received his master’s degree in 2008 from Jeju National University on the topic of mixed convection heat transfer in a vertical cylinder for a VHTR (very high temperature reactor). His current works are to assess the thermal-hydraulic characteristics of the nuclear power plant for the safety analysis and analyze the nuclear power plant containment safety.

Bum-Jin Chung is a Professor of Nuclear and Energy Engineering Department in Jeju National University, Korea. He received his Ph.D in 1994 from Seoul National University, Korea, on the topic of AP-600 containment cooling capability assessment. He has worked for Korean Ministry of Science and Technology and studied in the University of Manchester, U.K. He has published a series of articles on the experimental researches of the condensation phenomena. His current research interests are the analogy experiment method using electrochemical systems, natural and mixed convection heat transfers on various geometries in application to nuclear systems.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ko, BJ., Kim, MH. & Chung, BJ. An experimental study on the transition criteria of open channel natural convection flows. J Mech Sci Technol 26, 1227–1234 (2012). https://doi.org/10.1007/s12206-012-0203-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-012-0203-3

Keywords

Navigation