Abstract
Surveys of existing flux-profile relationships for wind velocity and temperature have been published recently by Dyer (1974) and Yamamoto (1975). However, both these surveys do not include some widely used forms of these relationships and they present the material in the form of graphs which are not fully satisfactory. Moreover both Dyer and Yamamoto do not indicate that the existing experimental data are apparently insufficient for the reliable determination of the universal functions entering flux-profile relationships. The present paper gives a more detailed and updated review of flux-profile relationships, based on a modified definition of these relationships. Included is a discussion of the deficiencies in the experimental data.
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Arya, S. P. S. and Plate, E. J.: 1969, Modeling of Stably Stratified Atmospheric Boundary Layer, J. Atmos. Sci. 26, 656–665.
Badgley, F. I., Paulson, C. A., and Miyake, M.: 1972, Profiles of Wind, Temperature, and Humidity Over the Arabian Sea, The University Press of Hawaii, 62 pp.
Bovsheverov, V. M., Gurvich, A. S., and Tsvang, L. R.: 1959, Direct Measurements of the Turbulent Heat Flux in the Atmospheric Surface Layer, Dokl. Akad. Nauk S.S.S.R. 125, 1242–1245.
Brutsaert, W.: 1975, The Roughness Length for Water Vapor, Sensible Heat, and Other Scalars, J. Atmos. Sci. 32, 2028–2031.
Businger, J. A., Miyake, M., Dyer, A. J., and Bradley, E. F.: 1967, On the Direct Determination of the Turbulent Heat Flux Near the Ground, J. Appl. Meteorol. 6, 1025–1032.
Businger, J. A., Wyngaard, J. C., Izumi, Y., and Bradley, E. F.: 1971, Flux-Profile Relationships in the Atmospheric Surface Layer, J. Atmos. Sci. 28, 181–189.
Businger, J. A. and Yaglom, A. M.: 1971, Introduction to Obukhov's Paper on ‘Turbulence in an Atmosphere with a Non-Uniform Temperature’, Boundary-Layer Meteorol. 2, 3–6.
Chalikov, D. V.: 1968, Wind and Temperature Profiles in the Atmospheric Surface Layer at a Stable Stratification, Trudy Glavn. Geofiz. Observ. (Works of the Main Geophys. Obs., Leningrad), No. 207, 170–173.
Dyer, A. J. and Hicks, B. B.: 1970, Flux-Gradient Relationships in the Constant Flux Layer, Quart. J. Roy. Meteorol. Soc. 96, 715–721.
Dyer, A. J. and Hicks, B. B.: 1972, The Spatial Variability of Eddy Fluxes in the Constant Flux Layer, Quart. J. Roy. Meteorol. Soc. 98, 206–212.
Dyer, A. J.: 1974, A Review of Flux-Profile Relationships, Boundary-Layer Meteorol. 7, 363–372.
Gill, G. L.: 1973, Comments on 'Wind Speed as Measured by Cup and Sonic Anemometers and Influenced by Tower Structure, J. Appl. Meteorol. 12, 732–735.
Gurvich, A. S.: 1965, Vertical Wind-Velocity and Temperature Profiles in the Atmospheric Surface Layer, Izv. Acad. Sci. U.S.S.R., Atmos. and Oceanic Phys. 1, 55–65.
Hanafusa, T.: 1971, Some Aspects of Turbulent Fluxes Near the Ground, Contr. Geophys. Inst., Kyoto University, No. 11, 57–70.
Haugen, D. A., Kaimal, J. C., and Bradley, E. F.: 1971, An Experimental Study of Reynolds Stress and Heat Flux in the Atmospheric Surface Layer, Quart. J. Roy. Meteorol. Soc., 97, 168–180.
Izumi, Y. and Barad, M. L.: 1970, Wind Speeds as Measured by Cup and Sonic Anemometers and Influenced by Tower Structure, J. Appl. Meteorol. 9, 251–256.
Kaganov, E. I. and Yaglom, A. M.: 1976, Errors in Wind-Speed Measurements by Rotation Anemometers, Boundary-Layer Meteorol. 10, 15–34.
Kukharets, V. P. and Tsvang, L. R.: 1976, Parameterization of the Turbulent Heat Flux in the Unstably Stratified Atmospheric Boundary Layer, Izv. Acad. Sci. U.S.S.R., Atmos. and Oceanic Phys. 12, 13–21.
Lynch, R. A. and Bradley E. F.: 1974, Shearing Stress Meter, J. Appl. Meteorol. 13, 588–591.
McVehil, G. E.: 1964, Wind and Temperature Profiles Near the Ground in Stable Stratification, Quart. J. Roy. Meteorol. Soc. 90, 136–146.
Miyake, M., Stewart, R. W., Burling, R. W., Tsvang, L. R., Kopov, B. M., and Kuznetsov, O. A.: 1971, Comparison of Acoustic Instruments in Atmospheric Turbulent Flow Over Water, Boundary-Layer Meteorol. 2, 228–245.
Monin, A. S. and Obukhov, A. M.: 1953, Dimensionless Characteristics of Turbulence in the Atmospheric Surface Layer, Dokl. Akad. Nauk S.S.S.R. 93, 223–226.
Monin, A. S. and Obukhov, A. M.: 1954, Basic Turbulent Mixing Laws in the Atmospheric Surface Layer, Trudy Geofiz. Inst. Akad. Nauk S.S.S.R., No. 24, 163–187.
Monin, A. S. and Yaglom, A. M.: 1971, Statistical Fluid Mechanics, Vol. 1, The MIT Press, 769 pp.
Mordukhovich, M. I. and Tsvang, L. R.: 1966, Direct Measurements of Turbulent Fluxes at Two Heights in Atmospheric Surface Layer, Izv. Acad. Sci. U.S.S.R., Atmos. and Oceanic Phys. 2, 786–803.
Obukhov, A. M.: 1946, Turbulence in an Atmosphere With a Non-Uniform Temperature, Trudy In-ta Teoret. Geofiz. AN S.S.S.R. (Works Inst. Theor. Geophys. Acad. Sci. U.S.S.R.), 1, 95–115 (English translation in Boundary-Layer Meteorol., 1971, 2, 7–29).
Panofsky, H. A., Busch, N., Prasad, B., Hanna, S., Peterson, E., and Mares, E.: 1967, Properties of Wind and Temperature at Round Hill, Dartmouth, Mass., Penn. State Univ. Res. and Develop. Techn. Rept., ECOM-0035-F.
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.
Paulson, C. A., Leavitt, E. and Fleagle, R. G.: 1972, Air-Sea Transfer of Momentum, Heat and Water Determined from Profile Measurements During BOMEX, J. Phys. Oceanogr. 2, 487–497.
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.
Swinbank, W. C.: 1968, A Comparison between Predictions of Dimensional Analysis for the Constant-Flux Layer and Observations in Unstable Conditions, Quart. J. Roy. Meteorol. Soc. 94, 460–467.
Tsvang, L. R., Koprov, B. M., Zubkovskii, S. L., Dyer, A. J., Hicks, B. B., Miyake, M., Stewart, R. W., and McDonald, J. W.: 1973, A Comparison of Turbulent Measurements by Different Instruments; Tsimlyansk Field Experiment 1970, Boundary-Layer Meteorol. 3, 499–521.
Webb, E. K.: 1970, Profile Relationships: The Log-Linear Range, and Extension to Strong Stability, Quart. J. Roy. Meteorol. Soc., 96, 67–90.
Wyngaard, J.: 1973, ‘On Surface Layer Turbulence’, in Workshop on Micrometeorology (D. A. Haugen, ed.), Amer. Meteorol. Soc., 101–149.
Yaglom, A. M.: 1974, Data on Turbulence Characteristics in the Atmospheric Surface Layer, Izv. Acad, Sci. U.S.S.R., Atmos. and Oceanic Phys. 10, 566–586 (pp. 341–352 of the English Edition).
Yaglom, A. M. and Kader, B. A.: 1974, Heat and Mass Transfer Between a Rough Wall and Turbulent Fluid Flow at High Reynolds and Péclet Numbers, J. Fluid Mech. 62, 601–623.
Yamamoto, G.: 1975, Generalization of the KEYPS Formula in Diabatic Condition and Related Discussion on the Critical Richardson Number, J. Meteorol. Soc. Japan Ser. II, 53, 189–195.
Zilitinkevich, S. S. and Chalikov, D. V.: 1968a, On the Determination of the Universal Wind and Temperature Profiles in the Surface Layer of the Atmosphere, Izv. Acad. Sci. U.S.S.R., Atmos. and Oceanic Phys. 4, 294–302.
Zilitinkevich, S. S. and Chalikov, D. V.: 1968b, On the Computations of the Vertical Turbulent Fluxes in the Surface Layer of the Atmosphere from Data of Profile Observations, Izv. Acad. Sci. U.S.S.R., Atmos. and Oceanic Phys. 4, 915–929.
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Yaglom, A.M. Comments on wind and temperature flux-profile relationships. Boundary-Layer Meteorol 11, 89–102 (1977). https://doi.org/10.1007/BF00221826
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DOI: https://doi.org/10.1007/BF00221826