Abstract
Observations over grassland of the turbulent kinetic energy in a band of frequencies in the inertial subrange of the spectrum of the streamwise wind component are related to the stress indicated by the wind profiles. The object is to determine the effective Kolmogoroff constant, α UB , which accords with the assumption of balance between turbulent energy production and dissipation. The mean from 60 half-hour runs made under stability conditions ranging from neutral to moderate instability is α UB = 0.62.
This result is compared with those from other studies; four over grassland and six over the sea or a lake. There is no significant difference between the means of the land and sea values, but the latter are more scattered, partly because of difficulties in securing suitable exposure of the instruments for the stress measurements. The mean value from all ten sets of observations is α UB = 0.59 ± 0.025. So the dissipation method should be capable of giving the drag coefficient of the sea in strong winds with an uncertainty of no more than about 10%.
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Antonia, R. A., Chambers, A. J., Rajagopalan, S., and Sreenivarsan, K. R.: 1978, ‘Measurements of Turbulent Fluxes in Bass Strait’, J. Phys. Oceanog. 8, 28–37.
Batchelor, G. K.: 1950, ‘The Application of the Similarity Theory of Turbulence to Atmospheric Diffusion’, Quart. J. Roy. Meteorol. Soc. 76, 133–146.
Deacon, E. L.: 1959, ‘The Measurement of Turbulent Transfer in the Lower Atmosphere’, Adv. Geophys. 6, 211–218.
Deacon, E. L. and Samuel, D. R.: 1957, ‘A Linear Temperature Compensated Hot-Wire Anemometer’, J. Sci. Instrum. 34, 24–26.
Denman, K. L. and Miyake, M.: 1973, ‘Behaviour of the Mean Wind, the Drag Coefficient and the Wave Field in the Open Ocean’, J. Geophys. Res. 78, 1917–1931.
Dyer, A. J. and Bradley, E. F.: 1982, ‘An Alternative Analysis of Flux-Gradient Relationships at the 1976 ITCE’, Boundary-Layer Meteorol. 22, 3–19.
Dyer, A. J. and Hicks, B. B.: 1982, ‘Kolmogoroff Constants at the 1976 ITCE’, Boundary-Layer Meteorol. 22, 137–150.
Frenzen, P. and Hart, R. L.: 1983, ‘A Further Note on the Kolmogorov-von Karman Product and the Values of the Constants’, Sixth Symposium on Turbulence and Diffusion, Amer. Meteorol. Soc., Boston, 24–27.
Garratt, J. R.: 1972, ‘Studies of Turbulence in the Surface Layer over Water (Lough Neagh), Part II: Production and Dissipation of Temperature and Velocity Fluctuations’, Quart. J. Roy. Meteorol. Soc. 98, 642–657.
Garratt, J. R.: 1975, ‘Limitations of the Eddy-Correlation Technique for the Determination of Turbulent Fluxes near the Surface’, Boundary-Layer Meteorol. 8, 255–259.
Hicks, B. B. and Dyer, A. J.: 1972, ‘The Spectral Density Technique for the Determination of Eddy Fluxes’, Quart. J. Roy. Meteorol. Soc. 98, 838–844.
Hicks, B. B.: 1970, ‘The Measurement of Atmospheric Fluxes near the Surface: A Generalized Approach’, J. Appl. Meteorol. 9, 386–388.
Högström, U.: 1985, ‘Von Kármán's Constant in Atmospheric Boundary Layer Flow: Reevaluated’, J. Atmos. Sci. 42, 263–270.
Kaimal, J. C., Wyngaard, J. C., Izumi, Y., and Coté, O. R.: 1972, ‘Spectral Characteristics of Surface-Layer Turbulence’, Quart. J. Roy. Meteorol. Soc. 98, 563–589.
Krügermeyer, L.: 1976, ‘Vertical Transports of Momentum, Sensible and Latent Heat from Profiles at the Tropical Atlantic During ATEX’, ‘Meteor’ Forsch.-Ergbenisse, B, No. 11, 51–77.
Large, W. G. and Pond, S.: 1981, ‘Open Ocean Momentum Measurements in Moderate to Strong Winds’, J. Phys. Oceanog. 11, 324–336.
Leavitt, E.: 1975, ‘Spectral Characteristics of Surface Layer Turbulence over the Tropical Ocean’, J. Phys. Oceanog. 5, 157–163.
McBean, G., Stewart, R. W., and Miyake, M.: 1971, ‘The Turbulent Energy Budget near the Surface’, J. Geophys. Res. 76, 6540–6549.
Miyake, M., Stewart, R. W., and Burling, R. W.: 1970, ‘Spectra and Cospectra of Turbulence over Water’, Quart. J. Roy. Meteorol. Soc. 96, 138–143.
Pond, S., Phelps, G. T., Paquin, J. E., McBean, G., and Stewart, R. W.: 1971, ‘Measurements of the Turbulent Fluxes of Momentum, Moisture, and Sensible Heat over the Ocean’, J. Atmos. Sci. 28, 901–917.
Schmitt, K. F., Friehe, C. A., and Gibson, C. H.: 1978, ‘Sea Surface Stress Measurements’, Boundary-Layer Meteorol. 15, 215–228.
Smith, S. D.: 1980, ‘Wind Stress and Heat Flux over the Ocean in Gale Force Winds’, J. Phys. Oceanog. 10, 709–726.
Swinbank, W. C. and Dyer, A. J.: 1968, ‘Micrometeorological Expeditions 1962–1964’, CSIRO Aust. Div. Meteorol. Phys. Tech. Pap., No. 17.
Webb, E. K.: 1982, ‘Profile Relationships in the Superadiabatic Surface Layer’, Quart. J. Roy. Meteorol. Soc. 108, 661–688.
Wucknitz, J.: 1976, ‘Determination of Turbulent Fluxes of Momentum and Sensible Heat from Fluctuation Measurements and the Structure of the Wind Field over the Waves above the Tropical Atlantic Ocean during ATEX’, ‘Meteor’ Forsch-Ergebnisse, B, No. 11, 25–50.
Wyngaard, J. C. and Coté, O. R.: 1971, ‘The Budget of Turbulent Kinetic Energy and Temperature Variancein the Atmospheric Surface Layer’, J. Atmos. Sci. 28, 190–201.
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Deacon, E.L. The streamwise Kolmogoroff constant. Boundary-Layer Meteorol 42, 9–17 (1988). https://doi.org/10.1007/BF00119871
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DOI: https://doi.org/10.1007/BF00119871