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Empirical Relations for Natural or Free Convection

  • Rajendra KarwaEmail author
Chapter
  • 27 Downloads

Abstract

Flow structure and development of boundary layer for horizontal plates and cylinders, sphere, parallel plate channels and enclosed spaces have been discussed. The technique of dimensional analysis has been applied to develop functional relationship for natural or free convection heat transfer in terms of dimensionless numbers. Experimental schemes for determining heat transfer coefficient have been presented. Heat transfer coefficient correlations for vertical and flat plates, parallel plate open ended channels and enclosed spaces have been given in terms of dimensionless numbers. In Sect. 9.8, problem of combined free and forced convection has been discussed.

Keywords

Buoyancy force Flow structure Dimensional analysis Grashof number Rayleigh number Empirical relations Parallel plate channels Enclosed spaces Bernard cells Mixed convection Richardson number 

References

  1. Azevedo LFA, Sparrow EM (1985) Natural convection in open-ended inclined channels. J Heat Transfer 107(4):893–901CrossRefGoogle Scholar
  2. Baehr Hans Dieter and Stephan Karl (2011) Heat and mass transfer. Springer-Verlag, Berlin HeidelbergGoogle Scholar
  3. Bar-Cohen A, Rohsenow WM (1984) Thermally optimum spacing of vertical, natural convection cooled, parallel plates. J Heat Transfer 106(1):116–123CrossRefGoogle Scholar
  4. Brown CK, Gauvin WH (1965) Combined free and forced convection in aiding flows, I. II. Can. J. Chemical Engineering 43(6):306–318CrossRefGoogle Scholar
  5. Buchberg H, Catton I, Edwards DK (1976) Natural convection in enclosed spaces-a review of application to solar energy collection. J Heat Transfer 98(2):182–188CrossRefGoogle Scholar
  6. Cebeci T (1974) Laminar-free-convective-heat transfer from the outer surface of a vertical slender circular cylinder. Proc. 5th Int Heat Transfer conf., Vol. 3, Paper NC1.4, Tokyo: 15–19Google Scholar
  7. Cengel Yunus A (2007) Heat transfer: a practical approach. Tata McGraw-Hill Education, IndiaGoogle Scholar
  8. Chen TS, Sparrow EM, Mucoglu A (1977) Mixed convection in boundary layer flow on a horizontal plate. J Heat Transfer 99:66–71CrossRefGoogle Scholar
  9. Churchill SW (1990) Free convection around immersed bodies. In: Hewitt GF (ed) Hemisphere handbook of heat exchanger design. Hemisphere Publishing, New YorkGoogle Scholar
  10. Churchill SW, Chu HHS (1975a) Correlating equations for laminar and turbulent free convection from a horizontal cylinder. Int. J. Heat Mass Transfer 18:1049–1053CrossRefGoogle Scholar
  11. Churchill SW, Chu HHS (1975b) Correlating equations for laminar and turbulent free convection from a vertical plate. Int J Heat Mass Transfer 18:1323–1329CrossRefGoogle Scholar
  12. Eckert ERG, Diaguila AJ (1954) Convective heat transfer for mixed, free and forced flow through tubes. Trans ASME 76:497–504Google Scholar
  13. Gebhart B (1961) Heat transfer. McGraw-Hill Book Co, New YorkGoogle Scholar
  14. Globe S, Dropkin D (1959) Natural convection heat transfer in liquids confined between two horizontal plates. J Heat Transfer 81:24–28CrossRefGoogle Scholar
  15. Hollands KGT, Unny TE, Raithby GD, Konicek L (1976) Free convective heat transfer across inclined air layers. J Heat Transfer 98(2):189–193CrossRefGoogle Scholar
  16. Holman JP (1992) adapted for SI units by White PRS, Heat Transfer. McGraw-Hill Book Co, New YorkGoogle Scholar
  17. Incropera Frank P, DeWitt David P, Bergman Theodore L, Lavine Adrienne S (2006) Fundamentals of heat and mass transfer, 6th edn. John Wiley & Sons, New YorkGoogle Scholar
  18. Incropera Frank P, DeWitt David P, Bergman Theodore L, Lavine Adrienne S (2012) Principles of heat and mass transfer. John Wiley & Sons, New YorkGoogle Scholar
  19. Kays WM, Crawford ME (1980) Convective heat and mass transfer. Tata McGraw-Hill Publishing Co., Ltd, New Delhi, IndiaGoogle Scholar
  20. Lloyd JR, Sparrow EM (1970) Combined forced and free convection flow on vertical surfaces. Int J Heat Mass Transfer 13:434–438CrossRefGoogle Scholar
  21. MacGregor RK, Emery AP (1969) Free convection through vertical plane layers, moderate and high Prandtl number fluids. J Heat Transfer 91:391–403CrossRefGoogle Scholar
  22. McAdams WH (1954) Heat transmission, 3rd edn. McGraw-Hill, New YorkGoogle Scholar
  23. Metais B, Eckert ERG (1964) Forced, mixed and free convection regimes. J Heat Transfer. Ser. C 86:295–296Google Scholar
  24. Mills AF (1995) Heat and mass transfer. Richard D, Irwin, ChicagozbMATHGoogle Scholar
  25. Mori Y, Futagami K (1967) Forced convective heat transfer in uniformly heated horizontal tubes (2nd report, theoretical study). Int J Heat Mass Transfer 10:1801–1813CrossRefGoogle Scholar
  26. Popiel CO (2008) Free convection heat transfer from vertical slender cylinders: a review. Heat Transfer Eng 29(6):521–536CrossRefGoogle Scholar
  27. Sparrow EM, Gregg JL (1959) Buoyancy effects in forced convection flow and heat transfer. J Appl Mech, Trans ASME 26, Ser E(1): 133–134Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Jodhpur Institute of Engineering and TechnologyJodhpurIndia

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