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Air-sea bulk transfer coefficients in diabatic conditions

Abstract

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 u 10>3 m s−1, the coefficient for sensible heat C H is larger by about 10% than that for momentum C D . For u 10<5 m s−1, however, the value of C D exceeds the value of C H , and for u 10=15 m s−1 it is shown that C H ≈0.8C D . It may be also proposed that 103 C D =1.11 to 1.70, 103 C E =1.18 to 1.30, and 103 C H =1.15 to 1.26 for a range of u 10=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.

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References

  • 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 

  • 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 

  • Charnock, H.: 1967, ‘Flux-Gradient Relationships near the Ground in Unstable Conditions’, Quart. J. Roy. Meteorol. Soc. 93, 97–100.

    Google Scholar 

  • 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 

  • 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 

  • Deardorff, J. W.: 1968, ‘Dependence of Air-Sea Transfer Coefficients on Bulk Stability’, J. Geophys. Res. 73, 2549–2557.

    Google Scholar 

  • 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 

  • 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 

  • 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 

  • 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 

  • Hidy, G. M.: 1972, ‘A View of Recent Air-Sea Interaction Research’, Bull. Am. Meteorol. Soc. 53, 1083–1102.

    Google Scholar 

  • 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 

  • Kondo, J.: 1962a, ‘Observations on Wind and Temperature Profiles near the Ground’, Sci. Rep. Tohoku Univ., Ser. 5, Geophys. 14, 41–56.

    Google Scholar 

  • Kondo, J.: 1962b, ‘Evaporation from Extensive Surface of Water’, Sci. Rep. Tohoku Univ., Ser. 5, Geophys. 14 107–119.

    Google Scholar 

  • 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 

  • Kondo, J., Fujinawa, Y., and Naito, G.: 1972, ‘Wave-Induced Wind Fluctuation over the Sea’, J. Fluid Mech. 51, 751–771.

    Google Scholar 

  • 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 

  • Kraus, E. B.: 1968, ‘What do we Know About the Sea Surface Wind Stress’, Bull. Am. Meteorol. Soc. 49, 247–253.

    Google Scholar 

  • 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 

  • Lumley, J. L. and Panofsky, H. A.: 1964, The Structure of Atmospheric Turbulence, Wiley, New York and London, 239 pp.

    Google Scholar 

  • 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 

  • McVehil, G. E.: 1964, ‘Wind and Temperature Profiles near the Ground in Stable Stratification’, Quart. J. Roy. Meteorol. Soc. 90, 136–146.

    Google Scholar 

  • 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.

  • 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 

  • 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 

  • Owen, P. R. and Thomson, W. R.: 1963, ‘Heat Transfer Across Rough Surfaces’, J. Fluid Mech. 15, 321–334.

    Google Scholar 

  • 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 

  • 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 

  • 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 

  • 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 

  • Roll, H. U.: 1965, Physics of the Marine Atmosphere, Academic Press, New York and London, 426 pp.

    Google Scholar 

  • Schlichting, H.: 1968, Boundary-Layer Theory (sixth edition), McGraw-Hill, New York, 747 pp.

    Google Scholar 

  • 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 

  • 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 

  • 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 

  • Swinbank, W. C.: 1964, ‘The Exponential Wind Profile’, Quart. J. Roy. Meteorol. Soc. 90, 119–135.

    CAS  Google Scholar 

  • Takahashi, T.: 1958, ‘Micro-Meteorological Observations and Studies over the Sea’, Mem. Fac. Fish. Kagoshima Univ. 6, 1–46.

    Google Scholar 

  • Thompson, N.: 1972, ‘Turbulence Measurements over the Sea by a Tethered-Balloon Technique’, Quart. J. Roy. Meteorol. Soc. 98, 745–762.

    Google Scholar 

  • 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 

  • 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 

  • 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 

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Kondo, J. Air-sea bulk transfer coefficients in diabatic conditions. Boundary-Layer Meteorol 9, 91–112 (1975). https://doi.org/10.1007/BF00232256

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  • DOI: https://doi.org/10.1007/BF00232256

Keywords

  • Rough Surface
  • Wind Speed
  • Reynolds Number
  • Water Vapor
  • Transfer Coefficient