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Scalar fluxes in the planetary boundary layer — Theory, modeling, and measurement

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Abstract

I outline the general features of the vertical profile of the vertical flux of a conservative scalar in the planetary boundary layer, giving special emphasis to the convective case and emphasizing the importance of the Webb correction. After the influence of thermal stability on the structure of the turbulent eddies carrying this flux is reviewed, recent developments in parameterizing vertical transport in the convective boundary layer are discussed. I then survey three approaches to the numerical modeling of this transport — second-order closure, large-eddy simulation, and direct numerical simulation. Eddy-correlation, eddy-accumulation, and indirect techniques for measuring scalar fluxes are surveyed and contrasted. Finally, I discuss the physics of probe-induced flow distortion and its impact on scalar flux measurement, showing that it can be quite severe for trace species density fluxes measured from aircraft.

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References

  • Andreas, E. L.: 1988, ‘Atmospheric Stability from Scintillation Measurements’, Appl Optics 27, 2241–2246.

    Google Scholar 

  • Andreas, E. L.: 1989, ‘Two-wavelength Method of Measuring Path-Averaged Turbulent Surface Heat Fluxes’, J. Atmos. Ocean.Tech. 6, 280–292.

    Google Scholar 

  • Baines, P. G.: 1989, ‘Preface’, Dyn. Atmos. Oceans 13, viii.

    Google Scholar 

  • Bradshaw, P.: 1972, ‘The Understanding and Prediction of Turbulent Flow’, Aero. J. 76, 403–418.

    Google Scholar 

  • Brost, R. A. and Wyngaard, J. C.: 1978, ‘A Model Study of the Stably Stratified Planetary Boundary Layer’, J. Atmos. Sci. 35, 1427–1440.

    Google Scholar 

  • 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. App. Meteorol. 6, 1025–1032.

    Google Scholar 

  • 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.

    Google Scholar 

  • Businger, J. A. and Oncley, S. P.: 1990, ‘Flux Measurement with Conditional Sampling’, to appear, J. Atmos. Ocean. Tech.

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

    Google Scholar 

  • Caughey, S. J., Wyngaard, J. C., and Kaimal, J. C.: 1979, ‘Turbulence in the Evolving Stable Boundary Layer’, J. Atmos. Sci. 36, 1041–1052.

    Google Scholar 

  • Coulter, R. L. and Wesely, M. L.: 1980, ‘Estimates of Surface Heat Flux from Sodar and Laser Scintillation Measurements in the Unstable Boundary Layer’, J. Appl. Meteorol. 19, 1209–1222.

    Google Scholar 

  • Dabberdt, W. F.: 1968, ‘Tower-Induced Errors in Wind Profile Measurements’, J. Appl. Meteorol. 7, 359–366.

    Google Scholar 

  • Deardorff, J. W.: 1966, ‘The Counter-Gradient Heat Flux in the Lower Atmosphere and in the Laboratory’, J. Atmos. Sci. 23, 503–506.

    Google Scholar 

  • Deardorff, J. W.: 1970, ‘A Numerical Study of Three-Dimensional Turbulent Channel Flow at Large Reynolds Numbers’, J. Fluid Mech. 40, 453–480.

    Google Scholar 

  • Deardorff, J. W.: 1973, ‘Three-Dimensional Numerical Modeling of the Planetary Boundary Layer’, in D. A. Haugen (ed.), Workshop on Micrometeorology, Amer. Meteor. Soc., Boston, pp. 271–311.

    Google Scholar 

  • Delage, Y.: 1974, ‘A Numerical Study of the Nocturnal Atmospheric Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 100, 351–364.

    Google Scholar 

  • Denmead, O. T. and Bradley, E. F.: 1985, ‘Flux-Gradient Relationships in a Forest Canopy’, in B. A. Hutchison and B. B. Hicks (eds.), The Forest-Atmosphere Interaction, Reidel, Dordrecht, pp. 421–442.

    Google Scholar 

  • Donaldson, C. Du P.: 1973, ‘Construction of a Dynamic Model of the Production of Atmospheric Turbulence and the Dispersal of Atmospheric Pollutants’, in D. A. Haugen (ed.), Workshop on Micrometeorology, Amer. Meteor. Soc., Boston, pp. 313–392.

    Google Scholar 

  • Haugen, D. A. (ed.): 1973, Workshop on Micrometeorology, American Meteorological Society, Boston, 392 pp.

  • 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.

    Google Scholar 

  • Hicks, B. B. and McMillen, R. T.: 1984, ‘A Simulation of the Eddy-Accumulation Method for Measuring for Measuring Pollutant Fluxes’, J. Clim. Appl. Meteorol. 23, 637–643.

    Google Scholar 

  • Hill, R. J.: 1988, ‘Comparison of Scintillation Methods for Measuring the Inner Scale of Turbulence’, Appl. Optics 27, 2187–2193.

    Google Scholar 

  • Hill, R. J., Bohlander, R. A., Clifford, S. F., McMillan, R. W., Priestley, J. T., and Schoenfeld, W. P.: 1988, ‘Turbulence-Induced Millimeter-Wave Scintillation Compared with Micrometeorological Measurements’, IEEE Trans. Geo. Rem. Sensing 26, 330–342.

    Google Scholar 

  • Hunt, J. C. R.: 1973, ‘A Theory of Turbulent Flow Round Two-Dimensional Bluff Bodies’, J. Fluid Mech. 61, 625–706.

    Google Scholar 

  • Kaimal, J. C. and Haugen, D. A.: 1969, ‘Some Errors in the Measurement of Reynolds Stress’, J. Appl. Meteorol. 8, 460–462.

    Google Scholar 

  • Kaimal, J. C., Wyngaard, J. C., Izumi, Y., and Coté, O.: 1972, ‘Spectral Characteristics of Surfacelayer Turbulence’, Quart. J. Roy. Meteorol. Soc. 98, 563–589.

    Google Scholar 

  • Kaimal, J. C. and Wyngaard, J.C.: 1990, ‘The Kansas and Minnesota Experiments’, Boundary-Layer Meteorol. 50, 31–47 (this issue).

    Google Scholar 

  • Kline, S. J.: 1981, ‘Universal or Zonal Modeling — The Road Ahead’, The 1980–81 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows: Comparison of Computation and Experiment, II, 991–998.

  • Kline, S. J., Cantwell, B. J., and Lilley, G. M.: 1981, ‘The 1980–81 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows: Comparison of Computation and Experiment, I, II, and III’, Stanford, CA, Thermosciences Division, Mech. Engr. Dept, Stanford University, 1551pp.

  • Lenschow, D. H. and Stankov, B.B.: 1986, ‘Length Scales in the Convective Boundary Layer’, J. Atmos. Sci. 43, 1198–1209.

    Google Scholar 

  • Lenschow, D. H. and Delany, A. C.: 1988, ‘An Analytic Formulation for NO and NO2 Flux Profles in the Atmospheric Surface layer’, J. Atmos. Chem. 5, 301–309.

    Google Scholar 

  • Lenschow, D. H., Li, X. S., Zhu, C. J., and Stankov, B. B.: 1988a, ‘The Stably Stratified Boundary Layer over the Great Plains. Part I: Mean and Turbulent Structure’, Boundary-Layer Meteorol. 42, 95–121.

    Google Scholar 

  • Lenschow, D. H., Zhang, S. F., and Stankov, B. B.: 1988b, ‘The Stably Stratified Boundary Layer over the Great Plains. Part II: Horizontal Variations and Spectra’, Boundary Layer Meteorol. 42, 121–135.

    Google Scholar 

  • Lenschow, D. H. and Hicks, B. B. (eds.): 1989, Global Tropospheric Chemistry — Chemical Fluxes in the Global Atmosphere, published by NCAR, P. O. Box 3000, Boulder, CO 80307.

    Google Scholar 

  • Lewellen, W. S.: 1977, ‘Use of Invariant Modeling’, in W. Frost and T. H. Moulden (eds), Handbook of Turbulence, Plenum, New York, pp. 237–277.

    Google Scholar 

  • Liepmann, H.: 1979, ‘The Rise and Fall of Ideas in Turbulence’, Am. Scientist 67, 221–228.

    Google Scholar 

  • Lumley, J. L. and Panofsky, H. A.: 1964, The Structure of Atmospheric Turbulence, Interscience, New York, 239pp.

    Google Scholar 

  • Lumley, J. L. (ed.): 1989, Whither Turbulence, to be published by Springer Verlag, New York.

    Google Scholar 

  • Lumley, J. L. and Mansfield, P.: 1984, ‘Second Order Modeling of Turbulent Transport in the Surface Mixed Layer’, Boundary-Layer Meteorol. 30, 109–142.

    Google Scholar 

  • Mahrt, L.: 1976, ‘Mixed-Layer Moisture Structure’, Mon. Wea. Rev. 104, 1403–1418.

    Google Scholar 

  • Mahrt, L. and Paumier, J.: 1985, ‘Simple Formulation of Heat Flux in the Unstable Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 33, 61–75.

    Google Scholar 

  • Mellor, G. L. and Yamada, T.: 1982, ‘Development of a Turbulence Closure Model for Geophysical Fluid Problems’, Rev. Geophys. and Space Phys. 20, 851–875.

    Google Scholar 

  • Moeng, C.-H. and Wyngaard, J. C.: 1984, ‘Statistics of Conservative Scalars in the Convective Boundary Layer’, J. Atmos. Sci. 41, 3161–3169.

    Google Scholar 

  • Moeng, C.-H. and Wyngaard, J. C.: 1989, ‘Evaluation of Turbulent Transport and Dissipation Closures in Second-order Modeling’, J. Atmos. Sci. 46, 2311–2330.

    Google Scholar 

  • Moeng, C.-H. and Rotunno, R.: 1989, ‘Vertical-Velocity Skewness in the Buoyancy-Driven Boundary Layer’, submitted to J. Atmos. Sci.

  • Nieuwstadt, F. T. M.: 1981, ‘The Steady-State Height and Resistance Laws of the Nocturnal Boundary Layer: Theory Compared with Cabauw Observations’, Boundary-Layer Meteorol. 20, 3–17.

    Google Scholar 

  • Niewstadt, F. T. M.: 1984, ‘The Turbulent Structure of the Stable, Nocturnal Boundary Layer’, J. Atmos. Sci. 41, 2202–2216.

    Google Scholar 

  • Panofsky, H. A., Tennekes, H., Lenschow, D. H., and Wyngaard, J. C.: 1977, ‘The Characteristics of Turbulent Velocity Components in the Surface Layer under Convective Conditions’, Boundary-Layer Meteorol. 11, 355–361.

    Google Scholar 

  • Panofsky, H. A. and Dutton, J. A.: 1984, Atmospheric Turbulence, John Wiley and Sons, New York, 397 pp.

    Google Scholar 

  • Raupach, M. R.: 1988, ‘Canopy Transport Processes’, in W. L. Steffen and O. T. Denmead (eds.), Flow and Transport in the Natural Environment: Advances and Applications, Springer-Verlag, Berlin, pp. 95–127.

    Google Scholar 

  • Speer, R. E., Peterson, K. A., Ellestad, T. G., and Durham, J. L.: 1985, ‘Test of a Prototype Eddy Accumulator for Measuring Atmospheric Vertical Fluxes of Water Vapor and Paniculate Sulfate’, J. Geophys. Res. 90, 2119–2122.

    Google Scholar 

  • Townsend, A. A.: 1976, The Structure of Turbulent Shear Flow, Cambridge Univ. Press, 429pp.

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

    Google Scholar 

  • Webb, E. K., Pearman, G. I., and Leuning, R.: 1980, ‘Correction of Flux Measurements for Density Effects due to Heat and Water Vapor Transfer’, Quart. J. Roy. Meteorol. Soc. 106, 85–100.

    Google Scholar 

  • Weil, J. C.: 1990, ‘A Diagnosis of the Asymmetry in Top-down and Bottom-up Diffusion Using a Lagrangian Stochastic Model’, to appear, J. Atmos. Sci. 47.

  • Wesely, M. L.: 1988, ‘Use of Variance Techniques to Measure Dry Air-Surface Exchange Rates’, Boundary-Layer Meteorol. 44, 13–31.

    Google Scholar 

  • Wieringa, J.: 1980, ‘A Revaluation of the Kansas Mast Influence on Measurements of Stress and Cup Anemometer Overspeeding’, Boundary-Layer Meteorol. 18, 411–430.

    Google Scholar 

  • Wucknitz, J.: 1980, ‘Flow Distortion by Supporting Structures’, in F. Dobson and L. Hasse (eds.), Air-Sea Interaction, Instruments and Methods, Plenum Press, 815 pp.

  • Wyngaard, J. C.: 1973, ‘On Surface-Layer Turbulence’, in D. A. Haugen (ed.), Workshop on Micrometeorology, American Meteorological Society, Boston, pp. 101–149.

    Google Scholar 

  • Wyngaard, J. C.: 1981, ‘The Effects of Probe-Induced Flow Distortion on Atmospheric Turbulence Measurements’, J. Appl. Meteorol. 20, 784–794.

    Google Scholar 

  • Wyngaard, J. C.: 1982, ‘Planetary Boundary Layer Modeling’, in F. T. M. Nieuwstadt and H. Van Dop (eds.), Atmospheric Turbulence and Air Pollution Modelling, Reidel, Dordrecht, Holland, pp. 69–106.

    Google Scholar 

  • Wyngaard, J. C.: 1987, ‘A Physical Mechanism for the Asymmetry in Top-Down and Bottom-up Diffusion’, J. Atmos. Sci. 44, 1083–1087.

    Google Scholar 

  • Wyngaard, J. C.: 1988a, ‘Flow-Distortion Effects on Scalar Flux Measurements in the Surface Layer: Implications for Sensor Design’, Boundary-Layer Meteorol. 42, 19–26.

    Google Scholar 

  • Wyngaard, J. C.: 1988b, ‘The Effects of Probe-Induced Flow Distortion on Atmospheric Turbulence Measurements: Extension to Scalars’, J. Atmos. Sci. 22, 3400–3412.

    Google Scholar 

  • Wyngaard, J. C.: 1988c, ‘Structure of the PBL’, in A. Venkatram and J. C. Wyngaard (eds.), Lectures on Air Pollution Modeling, AMS, Boston, pp. 9–61.

    Google Scholar 

  • Wyngaard, J. C. and Clifford, S.F.: 1978, ‘Estimating Momentum, Heat, and Moisture Fluxes from Structure Parameters’, J. Atmos. Sci. 35, 1204–1211.

    Google Scholar 

  • Wyngaard, J.C. and Coté, O. R.: 1972, ‘Cospectral Similarity in the Atmospheric Surface Layer’, Quart. J. Roy. Meteorol. Soc. 98, 590–603.

    Google Scholar 

  • Wyngaard, J. C. and LeMone, M. A.: 1980, ‘Behavior of the Refractive Index Structure Parameter in the Entraining Boundary Layer’, J. Atmos. Sci. 37, 1573–1585.

    Google Scholar 

  • Wyngaard, J. C., Businger, J. A., Kaimal, J. C., and Larsen, S. E.: 1982, ‘Comments on “A Revaluation of the Kansas Mast Influence on Measurements of Stress and Cup Anemometer Overspeeding”’, Boundary-Layer Meteorol. 22, 245–250.

    Google Scholar 

  • Wyngaard, J. C. and Brost, R. A.: 1984, ‘Top-down and Bottom-up Diffusion of a Scalar in the Convective Boundary Layer’, J. Atmos. Sci. 41, 102–112.

    Google Scholar 

  • Zeman, O.: 1981, ‘Progress in the Modeling of Planetary Boundary Layers’, Ann. Rev. Fluid Mech. 13, 253–272.

    Google Scholar 

  • Zeman, O. and Lumley, J. L.: 1976, ‘Modeling Buoyancy Driven Mixed Layers’, J. Atmos. Sci. 33, 1974–1988.

    Google Scholar 

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Based on lectures given at the workshop Measurement and Parameterization of Land-Surface Evaporation Fluxes, Banyuls, France, October, 1988.

The National Center for Atmospheric Research is sponsored by the National Science Foundation.

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Wyngaard, J.C. Scalar fluxes in the planetary boundary layer — Theory, modeling, and measurement. Boundary-Layer Meteorol 50, 49–75 (1990). https://doi.org/10.1007/BF00120518

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