Summary
A mathematical description is presented for the profiles of wind speed and air temperature measured above a short grass vegetation surrounded by irregular and inhomogeneous terrain. This “ln-profile” [u=A(lnz)B and Θ=C+D(lnz)E] is applicable both under stable and unstable conditions. The validity, under these conditions, of the Swinbank and Keyps-theories for the turbulent transfer of heat and momentum is tested with a comparison of calculated friction velocities. Although the relationships found are not as well-defined as under more homogeneous conditions, the variations found in the transfer parameters are dependent on stability more than on the homogeneity of the surrounding area.
Zusammenfassung
Es wird eine mathematische Formel für die Windgeschwindigkeits- und Temperaturprofile gegeben, die über einer kurz geschnittenen Grasfläche, welche von ungleichförmigem und inhomogenem Gelände umgeben ist, gemessen wurden. Diese “ln-Profile” [u=A(lnz)B und Θ=C+D(lnz)E] sind sowohl in stabilen als auch in unstabilen Lagen anwendbar. Es wird die Gültigkeit der Swinbank- und Keups-Theorien für den turbulenten Transport von Wärme und Impuls unter diesen Bedingungen durch den Vergleich mit den berechneten Reibungs-geschwindigkeiten geprüft. Obwohl die gefundenen Beziehungen nicht so gut wie unter besser homogenen Bedingungen bestimmt sind, lassen die gefundenen Schwankungen der Übertragungsparameter eine stärkere Abhängigkeit von der Stabilität als von der Homogenität der Umgebung erkennen.
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References
Dyer, A. J.: The Adjustment of Profiles and Eddy Fluxes. Quart. J. Roy. Met. Soc.89, 276–280 (1963).
Barad, M. L.: Analysis of Diffusion Studies at O'Neill. Advances in Geophysics6, 389 (1959).
Cramer, H. E., et al.: Studies of the Spectra of the Vertical Fluxes of Momentum, Heat and Moisture in the Atmospheric Boundary Layer. Final Rep., Contract No. DA-36-039-SC-80209. Dept. of Meteorol., Mass. Inst. of Tech. (1962).
Swinbank, W. C., andA. J. Dyer: An Experimental Study in Micro-Meteorology. Quart. J. Roy. Met. Soc.93, 494–500 (1967).
Bernstein, A. B.: An Examination of Three Wind Profile Hypothesis. J. Appl. Meteorol.5, 217–219 (1966).
Businger, J. A., M. Miyake, A. J. Dyer, andE. F. Bradley: On the Direct Determination of the Turbulent Heat Flux Near the Ground. J. Appl. Meteorol.6, 1025–1032 (1967).
Dyer, A. J.: The Turbulent Transport of Heat and Water Vapour in an Unstable Atmosphere. Quart J. Roy. Met. Soc.93, 501–508 (1967).
Klug, W.: Determination of Turbulent Fluxes of Heat and Momentum from the Windprofile. Quart. J. Roy. Met. Soc.93, 101–104 (1967).
Dyer, A. J., andT. V. Crawford: Observations of the Modification of the Microclimate at a Leading Edge. Quart. J. Roy. Met. Soc.91 345–348 (1965).
Rider, N. E., J. R. Philip, andE. F. Bradley: The Horizontal Transport of Heat and Moisture—a Micro-Meteorological Study. Quart. J. Roy. Met. Soc.89, 507–531 (1963).
Taylor, P. A.: On Wind and Shear Stress Profiles Above a Change in Surface Roughness. Quart J. Roy. Met. Soc.95, 77–91 (1969).
Swinbank, W. C.: Wind Profile in Thermally Stratified Flow. Nature186, 463–464 (1960).
Ellison, T. H.: Turbulent Transport of Heat and Momentum from an Infinite Rough Plane. J. Fluid Mech.2, 456–466 (1957).
Lumley, J. L., andH. A. Panofsky: The Structure of Atmospheric Turbulence. New York, Interscience, 239 pp. (1964).
Schneider, T.: A Thermocouple Psychrometer and Its Use for the Measurement of Water Vapour Pressure Near the Earth's Surface. Arch. Met. Geoph. Biokl., B.,17, 391–402 (1969).
Rijkoort, P. J.: The Increase of Mean Wind Speed with Height in the Surface Friction Layer. K. N. M. I., Mededelingen en Verhandelingen No. 91, 115 pp. (1968).
Covey, W.: A Method for the Computation of Logarithmic Wind Profile Parameters and Their Standard Errors. InE. R. Lemon (Ed.): The Energy Budget at the Earth's Surface Part II. Agric. Res. Service U. S. Dept. of Agriculture, Production Res. Report No. 72, 28–33 (1963).
Swinbank, W. C.: A Comparison between Predictions of Dimensional Analysis for the Constant Flux Layer and Observations in Unstable Conditions. Quart. J. Roy. Met. Soc.94, 460–467 (1968).
Swinbank, W. C.: The Exponential Wind Profile. Quart. J. Roy. Met. Soc.90, 119–135 (1964).
Pandolfo, J. P.: Wind and Temperature Profiles for Constant-Flux Boundary Layers in Lapse Conditions with a Variable Eddy Conductivity to Eddy Viscosity Ratio. J. Atmosph. Sci.23, 495–502 (1966).
Swinbank, W. C., andA. J. Dyer: Micrometeorological Expeditions 1962–1964. C. S. I. R. O., Division of Meteorological Physics. Technical Paper No. 17, 48 pp. (1968).
Panofsky, H. A.: Determination of Stress from Wind and Temperature Measurements. Quart. J. Roy. Met. Soc.89, 85–93 (1963).
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Schneider, T. Wind profiles and heat transfer above a short grass surface surrounded by irregular terrain. Arch. Met. Geoph. Biokl. B. 19, 233–250 (1971). https://doi.org/10.1007/BF02253551
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DOI: https://doi.org/10.1007/BF02253551