Boundary-Layer Meteorology

, Volume 9, Issue 1, pp 91–112 | Cite as

Air-sea bulk transfer coefficients in diabatic conditions

  • Junsei Kondo


On the basis of recent data for the roughness Reynolds number of the sea surface, and using the Owen-Thomson theory on the transfers of heat and mass between a rough surface and the flow above it, the bulk transfer coefficients of the sea surface have been estimated. For a reference height of 10 m, the neutral-lapse transfer coefficient for water vapor is larger by only a few percent than that for sensible heat. When the wind speed at the 10-m height is u10>3 m s−1, the coefficient for sensible heat C H is larger by about 10% than that for momentum C D . For u10<5 m s−1, however, the value of C D exceeds the value of C H , and for u10=15 m s−1 it is shown that C H ≈0.8C D . It may be also proposed that 103C D =1.11 to 1.70, 103C E =1.18 to 1.30, and 103C H =1.15 to 1.26 for a range of u10=4 to 20 m s−1. A plot of diabatic transfer coefficients versus wind speed is obtained by using a parameter of the sea-air temperature difference. For practical purposes, the coefficients are approximated by empirical formulae.


Rough Surface Wind Speed Reynolds Number Water Vapor Transfer Coefficient 
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  1. Businger, J. A., Wyngaard, J. C., Izumi, Y., and Bradley, E. F.: 1971, ‘Flux-Profile Relationships in the Atmospheric Surface Layers’, J. Atmospheric Sci. 28, 181–189.Google Scholar
  2. Chamberlain, A. C.: 1968, ‘Transport of Gases to and from Surfaces with Bluff and Wave-Like Roughness Elements’, Quart. J. Roy. Soc. 94, 318–332.Google Scholar
  3. Charnock, H.: 1967, ‘Flux-Gradient Relationships near the Ground in Unstable Conditions’, Quart. J. Roy. Meteorol. Soc. 93, 97–100.Google Scholar
  4. Deacon, E. L. and Webb, E. K.: 1962, ‘Interchange of Properties Between Sea and Air, Chapter 3, Small-Scale Interactions’, in M. N. Hill (ed.), The Sea, Interscience, New York, pp. 43–87.Google Scholar
  5. Dyer, A. J. and Hicks, B. B.: 1970, ‘Flux-Gradient Relationships in the Constant Flux Layer’, Quart. J. Roy. Meteorol. Soc. 96, 715–721.Google Scholar
  6. Deardorff, J. W.: 1968, ‘Dependence of Air-Sea Transfer Coefficients on Bulk Stability’, J. Geophys. Res. 73, 2549–2557.Google Scholar
  7. Fleagle, R. G., Deardorff, J. W., and Badgley, F. I.: 1958, ‘Vertical Distribution of Wind Speed, Temperature and Humidity Above a Water Surface’, J. Marine Res. 17, 141–157.Google Scholar
  8. Hawkins, H. F. and Rubsam, D. T.: 1968, ‘Hurricane Hilda, 1964; II. Structure and Budgets of the Hurricane on October 1, 1964’, Monthly Weather Rev. 96, 617–636.Google Scholar
  9. Hicks, B. B.: 1972, ‘Some Evaluations of Drag and Bulk Transfer Coefficients over Water Bodies of Different Sizes, Boundary-Layer Meteorol. 3, 201–213.Google Scholar
  10. Hicks, B. B. and Dyer, A. J.: 1970, ‘Measurements of Eddy-Fluxes over the Sea from an Off-Shore Oil Rig’, Quart. J. Roy. Meteorol. Soc. 96, 523–528.Google Scholar
  11. Hidy, G. M.: 1972, ‘A View of Recent Air-Sea Interaction Research’, Bull. Am. Meteorol. Soc. 53, 1083–1102.Google Scholar
  12. Hill, R. H.: 1972, ‘Laboratory Measurement of Heat Transfer and Thermal Structure near an Air-Water Interface’, J. Phys. Oceanogr. 2, 190–198.Google Scholar
  13. Kondo, J.: 1962a, ‘Observations on Wind and Temperature Profiles near the Ground’, Sci. Rep. Tohoku Univ., Ser. 5, Geophys. 14, 41–56.Google Scholar
  14. Kondo, J.: 1962b, ‘Evaporation from Extensive Surface of Water’, Sci. Rep. Tohoku Univ., Ser. 5, Geophys. 14 107–119.Google Scholar
  15. Kondo, J. and Fujinawa, Y.: 1972, ‘Errors in Estimation of Drag Coefficient for Sea Surface in Light Winds’, J. Meteorol. Soc. Japan 50, 145–149.Google Scholar
  16. Kondo, J., Fujinawa, Y., and Naito, G.: 1972, ‘Wave-Induced Wind Fluctuation over the Sea’, J. Fluid Mech. 51, 751–771.Google Scholar
  17. Kondo, J., Fujinawa, Y., and Naito, G.: 1973, ‘High-Frequency Components of Ocean Waves and Their Relation to the Aerodynamic Roughness’, J. Phys. Oceanogr. 3, 197–202.Google Scholar
  18. Kraus, E. B.: 1968, ‘What do we Know About the Sea Surface Wind Stress’, Bull. Am. Meteorol. Soc. 49, 247–253.Google Scholar
  19. Kunishi, H. and Imasato, N.: 1966, ‘On the Growth of Wind Waves by High-Speed Wind Flume, (in Japanese)’, Ann. Disas. Prev. Res. Inst. Kyoto Univ. 9, 667–676.Google Scholar
  20. Lumley, J. L. and Panofsky, H. A.: 1964, The Structure of Atmospheric Turbulence, Wiley, New York and London, 239 pp.Google Scholar
  21. Maki, T.: 1972, Unpublished data in ‘On the Turbulent Heat Transfer on the Sea Ice in Antarctica’, J. Agric. Meteorol. Japan 28, 89–92.Google Scholar
  22. McVehil, G. E.: 1964, ‘Wind and Temperature Profiles near the Ground in Stable Stratification’, Quart. J. Roy. Meteorol. Soc. 90, 136–146.Google Scholar
  23. Miller, B. I.: 1966, ‘Energy Exchanges Between the Atmosphere and the Oceans’, American Society for Oceanography Publication No. 1, Hurricane Symposium, October 10–11, 1966, Houston, Tex., pp. 134–157.Google Scholar
  24. Miyake, M., Donelan, M., McBean, G., Paulson, C., Badgley, F., and Leavitt, E.: 1970, ‘Comparison of Turbulent Fluxes over Water Determined by Profile and Eddy Correlation Techniques’, Quart. J. Roy. Meteorol. Soc. 96, 132–137.Google Scholar
  25. Nan'niti, T., Fujiki, A., and Akamatsu, H.: 1968, ‘Micro-Meteorological Observations over the Sea; Part 1, J. Oceanogr. Soc. Japan 24, 281–294.Google Scholar
  26. Owen, P. R. and Thomson, W. R.: 1963, ‘Heat Transfer Across Rough Surfaces’, J. Fluid Mech. 15, 321–334.Google Scholar
  27. Pandolfo, J. P.: 1966, ‘Wind and Temperature Profiles for Constant-Flux Boundary Layers in Lapse Conditions with a Variable Eddy Conductivity to Eddy Viscosity Ratio’, J. Atmospheric Sci. 23, 495–502.Google Scholar
  28. Paulson, C. A.: 1970, ‘The Mathematical Representation of Wind Speed and Temperature Profiles in the Unstable Atmospheric Surface Layer’, J. Appl. Meteorol. 9, 857–861.Google Scholar
  29. Pond, S., Phelps, G. T., Pasquin, J. E., McBean, G., and Stewart, R. W.: 1971, ‘Measurements of the Turbulent Fluxes of Momentum, Moisture and Sensible Heat over the Ocean’, J. Atmospheric Sci. 28, 901–917.Google Scholar
  30. Pruitt, W. O., Morgan, D. L., and Lourence, F. J.: 1973, ‘Momentum and Mass Transfers in the Surface Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 99, 370–386.Google Scholar
  31. Roll, H. U.: 1965, Physics of the Marine Atmosphere, Academic Press, New York and London, 426 pp.Google Scholar
  32. Schlichting, H.: 1968, Boundary-Layer Theory (sixth edition), McGraw-Hill, New York, 747 pp.Google Scholar
  33. Sheppard, P. A.: 1958, ‘Transfer Across the Earth's Surface and Through the Air Above’, Quart. J. Roy. Meteorol. Soc. 84, 205–224.Google Scholar
  34. Sheppard, P. A., Tribble, D. T., and Garratt, J. R.: 1972, ‘Studies of Turbulence in the Surface Layer over Water (Lough Neagh). Part 1. Instrumentation, Programme, Profiles’, Quart. J. Roy. Meteorol. Soc. 98, 627–641.Google Scholar
  35. Smith, S. D.: 1973, Thrust Aremometer Measurements over the Sea Re-Examined, Rep. BI-R-73–1, Bedford Institute, Dartmouth, N.S., Canada, 23 pp.Google Scholar
  36. Swinbank, W. C.: 1964, ‘The Exponential Wind Profile’, Quart. J. Roy. Meteorol. Soc. 90, 119–135.Google Scholar
  37. Takahashi, T.: 1958, ‘Micro-Meteorological Observations and Studies over the Sea’, Mem. Fac. Fish. Kagoshima Univ. 6, 1–46.Google Scholar
  38. Thompson, N.: 1972, ‘Turbulence Measurements over the Sea by a Tethered-Balloon Technique’, Quart. J. Roy. Meteorol. Soc. 98, 745–762.Google Scholar
  39. Webb, E. K.: 1970, ‘Profile Relationships: The Log-Linear Range, and Extension to Strong Stability’, Quart. J. Roy. Me Soc. 96, 67–90.Google Scholar
  40. Weiler, H. S. and Burling, R. W.: 1967, ‘Direct Measurements of Stress and Spectra of Turbulence in the Boundary Layer over the Sea’, J. Atmospheric Sci. 24, 653–664.Google Scholar
  41. Zubkovsky, S. L. and Kravchenko, T. K.: 1967, ‘Direct Measurements of Some Characteristics of Atmospheric Turbulence in the Near-Water Layer’, Izv. Atmospheric Oceanic Phys. 3, 73–77.Google Scholar

Copyright information

© D. Reidel Publishing Company 1975

Authors and Affiliations

  • Junsei Kondo
    • 1
  1. 1.Geophysical Institute, Faculty of Science, Tohoku UniversitySendaiJapan

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