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Virtual heat entrainment in the mixed layer over very rough terrain

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Abstract

Inversion fluxes of virtual heat were computed for seven clear days over the Pre-Alpine region in Switzerland with profile data from a sequence of radio soundings. Several entrainment models based on the turbulent kinetic energy equation were tested with the data. It was found that the relatively simple equation first proposed by Tennekes (1973) which contains both a convective and a mechanical term for the entrainment does as well as the more complicated parameterizations. In addition, the effect of water vapor on the magnitude of the buoyancy fluxes at the surface and at the inversion was observed to be important since the Bowen ratio normally ranged between 0.1 and 0.2.

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References

  • André, J. C., Lacarrere, P., and Mahrt, L. J.: 1979, ‘Sur la Distribution Verticale de l'Humidité dans une Couche Limite Convective’, J. Rech. Atmos. 13, 135–146.

    Google Scholar 

  • Artaz, M. A. and André, J. C.: 1980, ‘Similarity Studies of Entrainment in Convective Mixed Layers’, Boundary-Layer Meteorol, 19, 51–66.

    Google Scholar 

  • Ball, A. K.: 1960, ‘Control of Inversion Height by Surface Heating’, Quart. J. Roy. Meteorol. Soc. 86, 483–494.

    Google Scholar 

  • Brutsaert, W. and Kustas, W. P.: 1985, ‘Evaporation and Humidity Profiles for Neutral Conditions over Rugged Hilly Terrain’, J. Climate Appl. Meteorol. 24, 915–923.

    Google Scholar 

  • Brutsaert, W. and Kustas, W. P.: 1986, ‘Surface Water Vapor and Momentum Fluxes under Unstable Conditions from a Rugged-Complex Area’, J. Atmos. Sci., in press.

  • Carson, D. J.: 1973, ‘Models of Cloud-Topped Mixed Layers under a Strong Inversion’, Quart. J. Roy. Meteorol. Soc. 99, 450–467.

    Google Scholar 

  • Cattle, H. and Weston, K. J.: 1975, ‘Budget Studies of Heat Flux Profiles in the Convective Boundary Layer over Land’, Quart. J. Roy. Meteorol. Soc. 101, 353–363.

    Google Scholar 

  • Caughey, S. J.: 1982, ‘Observed Characteristics of the Atmospheric Boundary Layer’, in F. T. Niewstadt and H. Van Dop (eds.), Atmospheric Turbulence and Air Pollution Modelling, D. Reidel Publ. Co., Dordrecht, Holland, pp. 107–158.

    Google Scholar 

  • Deardorff, J. W.: 1972, ‘Numerical Investigation of Neutral and Unstable Planetary Boundary Layers’, J. Atmos. Sci. 28, 91–115.

    Google Scholar 

  • Driedonks, A. G. M.: 1982a, ‘Sensitivity Analysis of the Equations for a Convective Mixed Layer’, Boundary-Layer Meteorol. 22, 475–480.

    Google Scholar 

  • Driedonks, A. G. M.: 1982b, ‘Models and Observations of the Growth of the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 23, 283–306.

    Google Scholar 

  • Driedonks, A. G. M. and Tennekes, H.: 1984, ‘Entrainments Effects in the Well-Mixed Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 30, 75–105.

    Google Scholar 

  • Dubloscard, G.: 1980, ‘Comparison between Observed and Predicted Values for the Entrainment Coefficient in the Planetary Boundary Layer’, Boundary-Layer Meteorol. 18, 473–483.

    Google Scholar 

  • Glazier, J., Monteith, J. L., and Unsworth, M. H.: 1976, ‘Effects of Aerosol on the Local Heat Budget of the Lower Atmosphere’, Quart. J. Roy. Meteorol. Soc. 102, 95–102.

    Google Scholar 

  • Grebner, D. and Brutsaert, W.: 1984, ‘The EVAPEX-ALPEX Campaign 1982’, Hydrological and Meteorological Studies in the Pre-Alpine Research Basin Reitholzbach, Report of Atmospheric Data, Zuercher Geographische Schriten No. 18, Geograph. Instit., ETH, Eidgen Tech. Hochschule, Zürich, Switz., 203 pp.

    Google Scholar 

  • Kaimal, J. C., Wyngaard, J. C., Haugen, D. A., Cote, O. R., Izumi, Y., Caughey, S. J., and Readings, C. J.: 1976, ‘Turbulence Structure in the Convective Boundary Layer’, J. Atmos. Sci. 33, 2152–2169.

    Google Scholar 

  • Kantha, L. H., Phillips, O. M., and Azad, R. S.: 1977, ‘On Turbulent Entrainment at a Stable Density Interface’, J. Fluid Mech. 79, 753–768.

    Google Scholar 

  • Kato, L. H. and Phillips, O. M.: 1969, ‘On the Penetration of a Turbulent Layer into Stratified Fluid’, J. Fluid Mech. 37, 643–655.

    Google Scholar 

  • Kondratiev, K. J.: 1961, ‘Certain Problems of Actinometry in the Free Atmosphere’, in Leningrad, Gosud, Univ., Reports Symp. Radiation Vienna.

    Google Scholar 

  • Kustas, W. P.: 1983, ‘The Neutral Atmospheric Boundary Layer over Complex Terrain’, M.S. Thesis, Cornell University, Ithaca, NY.

    Google Scholar 

  • Kustas, W. P.: 1986, ‘Turbulent Fluxes at the Surface and at the Inversion in the Unstable Boundary Layer over Complex Hilly Terrain’, Ph.D. Thesis, Cornell University, Ithaca, NY.

    Google Scholar 

  • Kustas, W. P. and Brutsaert, W.: 1986, ‘Wind Profile Constants in a Neutral Atmospheric Boundary Layer over Complex Terrain’, Boundary-Layer Meteorol. 34, 35–54.

    Google Scholar 

  • Lilly, D. K.: 1968, ‘Models of Cloud-Topped Mixed Layers under a Strong Inversion’, Quart. J. Roy. Meteorol. Soc. 94, 292–309.

    Google Scholar 

  • Mahrt, L.: 1976, ‘Mixed Layer Moisture Structure’, Monthly Wea. Review 104, 1403–1407.

    Google Scholar 

  • Mahrt, L. and Paumier, J.: 1984, ‘Heat Transport in the Atmospheric Boundary Layer’, J. Atmos. Sci. 41, 3061–3075.

    Google Scholar 

  • Moores, W. H., Caughey, S. J., Readings, C. J., Milford, J. R., Mansfield, D. A., Abdulla, S., Guymer, T. H., and Johnson, W. B.: 1979, ‘Measurements of Boundary Layer Structure and Development over SE England Using Aircraft and Tethered Balloon Instrumentation’, Quart. J. Roy. Meteorol. Soc. 105, 397–421.

    Google Scholar 

  • Roach, W. T.: 1961, ‘Some Aircraft Observations of Fluxes of Solar Radiation in the Atmosphere’, Quart. J. Roy. Meteorol. Soc. 87, 346–363.

    Google Scholar 

  • Schädler, B.: 1982a, ‘The Variability of Evapotranspiration in the Rietholzbach Basin Determined Using Energy Balance Methods’, Commun. Laboratory Hydraulics, Hydrology, Glaciology No. 46E, ETH (Federal Institute Technology), Zürich, Switzerland.

    Google Scholar 

  • Schädler, B.: 1982b, ‘Der Wasserhaushalt eines Wägelysimeters als Index für ein Kleines Einzugsgebiet. Jahrbuch d. Schweiz Naturforsch’, Gesellschaft, Wissensch. Teil, 1980, pp. 75–79.

  • Snedecor, G. W. and Cochran, W. G.: 1980, ‘Statistical Methods’, Iowa State University Press, Ames, Iowa.

    Google Scholar 

  • Stull, R. B.: 1976, ‘The Energetics of Entrainment Across a Density Interface’, J. Atmos. Sci. 30, 558–567.

    Google Scholar 

  • Tennekes, H.: 1973, ‘A Model for the Dynamics of the Inversion above a Convective Boundary Layer’, J. Atmos. Sci. 30, 558–567.

    Google Scholar 

  • Tennekes, H. and Driedonks, A. G. M.: 1981, ‘Basic Entrainment Equations for the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 20, 515–531.

    Google Scholar 

  • van Ulden, A. P. and Holtslag, A. A. M.: 1985, ‘Estimation of Atmospheric Boundary Layer Parameters for Diffusion Applications’, J. Climate Appl. Meteorol. 24, 1196–1207.

    Google Scholar 

  • Yamamoto, S., Minoru, G., and Yokoyama, O.: 1977, ‘Airborne Measurements of Turbulent Heat Flux’, J. Meteorol. Soc. Japan 55, 533–545.

    Google Scholar 

  • Zeman, O. and Tennekes, H.: 1977, ‘Parameterization of the Turbulent Energy Budget at the Top of the Daytime Atmospheric Boundary Layer’, J. Atmos. Sci. 34, 111–123.

    Google Scholar 

  • Zilitinkevich, S. S.: 1975, ‘Comments on “A Model for the Dynamics of the Inversion above a Convective Boundary Layer”’, J. Atmos. Sci. 32, 991–992.

    Google Scholar 

  • Zilitinkevich, S. S., Yu. Chalikov, D. V., and Resnyansky, D.: 1979, ‘Modeling the Oceanic Upper Layer’, Oceanologica Acta 2, 219–240.

    Google Scholar 

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Now at the Hydrology Laboratory of the Agricultural Research Service, U.S. Department of Agriculture, Beltsville, Maryland 20705, U.S.A.

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Kustas, W.P., Brutsaert, W. Virtual heat entrainment in the mixed layer over very rough terrain. Boundary-Layer Meteorol 38, 141–157 (1987). https://doi.org/10.1007/BF00121561

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