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Similarity functions D for water vapor in the unstable atmospheric boundary layer

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Abstract

An analysis was performed of experimental data obtained at fixed ship stations during AMTEX 1974 and 1975. This allowed the calculation of the bulk transfer relationships for water vapor and sensible heat in the atmospheric boundary layer for different interpretations of the thickness scale of the boundary layer. It was found that scaling based on the observed thickness, which herein was taken as the height of the lowest value in the potential temperature profile under unstable conditions, produces least scatter in the calculations. The results obtained for the similarity function c i ) of the bulk heat transfer coefficient are in good agreement with the results of previous studies. As observed earlier (Brutsaert and Mawdsley, 1976; Mawdsley and Brutsaert, 1977), under unstable conditions the similarity functions D(Μ) of the bulk water vapor transfer coefficient are smaller than the corresponding C(Μ) functions for sensible heat. In the case of inversion height scaling, the results can be represented by d i ) = 0.65 c i ).

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References

  • Arya, S. P. S.: 1975, ‘Geostrophic Drag and Heat Transfer Relations for the Atmospheric Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 101, 147–161.

    Google Scholar 

  • Brutsaert, W.: 1975, ‘The Roughness Length for Water Vapor, Sensible Heat, and Other Scalars’, J. Atmos. Sci. 32, 2028–2031.

    Google Scholar 

  • Brutsaert, W. and Mawdsley, J. A.: 1976, ‘The Applicability of Planetary Boundary-Layer Theory to Calculate Regional Evapotranspiration’, Water Resour. Res. 12, 852–858.

    Google Scholar 

  • Clarke, R. H.: 1972, ‘Discussion of “Observational Studies in the Atmospheric Boundary Layer”’, Quart. J. Roy. Meteorol. Soc. 98, 234–235.

    Google Scholar 

  • Clarke, R. H. and Hess, G. D.: 1973, ‘On the Appropriate Scaling for Velocity and Temperature in the Planetary Boundary Layer’, J. Atmos. Sci. 30, 1346–1353.

    Google Scholar 

  • Clarke, R. H. and Hess, G. D.: 1974, ‘Geostrophic Departure and the Functions A and B of Rossby-Number Similarity Theory’, Boundary-Layer Meteorol. 7, 267–287.

    Google Scholar 

  • Clarke, R. H. with Dyer, A. J., Brook, R. R., Reid, D. G., and Troup, A. J.: 1971, ‘The Wangara Experiment: Boundary-Layer Data’, Tech. Paper No. 19, Div. Meteor. Physics, CSIRO, Australia.

    Google Scholar 

  • Dyer, A. J.: 1974, ‘A Review of Flux-Profile Relationships’, Boundary-Layer Meteorol. 7, 363–372.

    Google Scholar 

  • Katayama, A. and Okamura, Y. (eds.): 1975, AMTEX '74 Data Report, Vol. 7, Analysis Charts, Management Committee for AMTEX, Meteor. Research Institute, Koenji, Suginami, Tokyo, Japan.

    Google Scholar 

  • Katayama, A. and Okamura, Y. (eds.): 1976, AMTEX '75 Data Report, Vol. 7, Analysis Charts, Management Committee for AMTEX, Meteor. Research Institute, Koenji, Suginami, Tokyo, Japan.

    Google Scholar 

  • Kazanski, A. B. and Monin, A. S.: 1960, ‘ A Turbulent Regime Above the Ground Atmospheric Layer ’, Bull. (Izvestiya) Acad. Sci., USSR, Geophys. Ser. No. 1 (Engl. edn.) 110–112.

  • Kondo, J.: 1975, ‘Air-Sea Bulk Transfer Coefficients in Diabatic Conditions’, Boundary-Layer Meteorol. 9, 91–112.

    Google Scholar 

  • Lenschow, D. H. and Agee, E. M.: 1974, ‘The Air Mass Transformation Experiment (AMTEX): Preliminary results from 1974 and plans for 1975’, Bull. Amer. Meteorol. Soc. 55, 1228–1235.

    Google Scholar 

  • Lenschow, D. H. and Agee, E. M.: 1976, ‘Preliminary Results from the Air Mass Transformation Experiment (AMTEX)’, Bull. Amer. Meteorol. Soc. 57, 1346–1355.

    Google Scholar 

  • Lettau, H. and Davidson, B.: 1957, Exploring the Atmosphere's First Mile, Vols. 1–2, Pergamon Press, N.Y.

    Google Scholar 

  • Mawdsley, J. A. and Brutsaert, W.: 1977, ‘Determination of Regional Evapotranspiration from Upper Air Meteorological Data’, Water Resour. Res. 13, 539–548.

    Google Scholar 

  • Melgarejo, J. W. and Deardorff, J. W.: 1974, ‘Stability Functions for the Boundary-Layer Resistance Laws Based Upon Observed Boundary-Layer Heights’, J. Atmos. Sci. 31, 1324–1333.

    Google Scholar 

  • Melgarejo, J. W. and Deardorff, J. W.: 1975, ‘Revision to “Stability Functions for the Boundary-Layer Resistance Laws Based Upon Observed Boundary-Layer Heights”’, J. Atmos. Sci. 32, 837–839.

    Google Scholar 

  • Mitsuta, Y. and Fujita, T. (eds.): 1975, ‘AMTEX '74 Data Report, Vol. 4, Boundary Layer and Radiation Observations’, Management Committee for AMTEX, Meteor. Research Institute, Koenji, Suginami, Tokyo, Japan.

    Google Scholar 

  • Naito, G., Tsuji, Y. and Watabe, I.: 1976, ‘atMomentum, Sensible Heat and Latent Heat Transfers and Radiation Flux in the Southern Sea of the Southwest Islands in the Winter’, National Research Center for Disaster Prevention, Report No. 14, Hiratsuka, Japan.

  • Ninomiya, K. (ed.): 1975, ‘AMTEX '74 Data Report. Vol. 2, Aerological Data’, Management Committee for AMTEX, Meteor. Research Institute, Koenji, Suginami, Tokyo, Japan.

    Google Scholar 

  • Ninomiya, K. (ed.): 1976, ‘AMTEX '75 Data Report. Vol. 2, Aerological Data’, Management Committee for AMTEX, Meteor. Research Institute, Koenji, Suginami, Tokyo, Japan.

    Google Scholar 

  • Ninomiya, K. and Nagata, Y. (eds.): 1975, ‘AMTEX '74 Data Report, Vol. 3, Surface, Surface Marine, Radar and Oceanographic Observation Data’, Management Committee for AMTEX, Meteor. Research Institute, Koenji, Suginami, Tokyo, Japan.

    Google Scholar 

  • Ninomiya, K. and Nagata, Y. (eds.): 1976, ‘AMTEX '75 Data Report, Vol. 3, Surface, Surface Marine, Radar and Oceanographic Observation Data’, Management Committee for AMTEX, Meteor. Research Institute, Koenji, Suginami, Tokyo, Japan.

    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 

  • Smith, S. D. and Banke, E. G.: 1975, ‘Variation of the Sea Surface Drag Coefficient with Wind Speed’, Quart. J. Roy. Meteorol. Soc. 101, 665–673.

    Google Scholar 

  • Working Group 7 for AMTEX: 1975, ‘AMTEX '74 Data Report, Vol. 1, Information on AMTEX '74 Data’, Management Committee for AMTEX, Meteor. Research Institute, Koenji-Kita 4–35, Suginami, Tokyo, Japan.

    Google Scholar 

  • Working Group 7 for AMTEX: 1976, ‘AMTEX '75 Data Report, Vol. 1, Information on AMTEX '75 Data’, Management Committee for AMTEX, Meteor. Research Institute, Koenji-Kita 4–35, Suginami, Tokyo, Japan.

    Google Scholar 

  • Wyngaard, J. C., Arya, S. P. S. and Coté, O. R.: 1974, ‘Some Aspects of the Structure of Convective Planetary Boundary Layers’, J. Atmos. Sci. 31, 747–754.

    Google Scholar 

  • Yaglom, A. M.: 1977, ‘Comments on Wind and Temperature Flux-Profile Relationships’, Boundary-Layer Meteorol. 11, 89–102.

    Google Scholar 

  • Yamada, T.: 1976, ‘On the Similarity Functions A, B and C of the Planetary Boundary Layer’, J. Atmos. Sci. 33, 781–793.

    Google Scholar 

  • Yasuda, N.: 1975, ‘The Heat Balance at the Sea Surface Observed in the East China Sea’, Science Reports Tohoku Univ. (Sendai, Japan), Ser. 5 Geophys. 22, 87–105.

    Google Scholar 

  • Zilitinkevich, S. S.: 1969, ‘On the Computation of the Basic Parameters of the Interaction Between the Atmosphere and the Ocean’, Tellus 21, 17–24.

    Google Scholar 

  • Zilitinkevich, S. S. and Deardoff, J. W.: 1974, ‘Similarity Theory for the Planetary Boundary Layer of Time-Dependent Height’, J. Atmos. Sci. 31, 1449–1452.

    Google Scholar 

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Brutsaert, W., Chan, F.K.F. Similarity functions D for water vapor in the unstable atmospheric boundary layer. Boundary-Layer Meteorol 14, 441–456 (1978). https://doi.org/10.1007/BF00121887

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