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The dependence of the bulk Richardson number on stability in the surface layer

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Abstract

Relationships between the bulk Richardson number, B, and other stability parameters were derived for the atmospheric surface layer. Nomograms were constructed, relating the Monin-Obukhov stability parameter, z/L, to B. The nomograms and the graph of Golder (1972) were used to establish various schemes for classifying z/L, B and Ri, in terms of the Pasquill stability classes.

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References

  • Arya, S. P.: 1988, Introduction to Micrometeorology, Academic Press, Inc., San Diego, California.

    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 

  • Byun, D. W.: 1990, ‘On the Analytical Solutions of Flux-Profile Relationships for the Atmospheric Surface Layer’, J. Appl. Meteorol. 29, 652–657.

    Google Scholar 

  • DeBruin, H. A. R. and Moore, C. J.: 1984, ‘Zero-Plane Displacement and Roughness Length for Tall Vegetation, Derived from a Simple Mass Conservation Hypothesis’, Boundary-Layer Meteorol. 31, 39–49.

    Google Scholar 

  • Delage, Y.: 1988, ‘A Parameterization of the Stable Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 43, 365–381.

    Google Scholar 

  • Draxler, R. R.: 1979, ‘Estimating Vertical Diffusion from Routine Meteorological Tower Measurements’, Atmos. Env. 13, 1559–1564.

    Google Scholar 

  • Garratt, J. R.: 1978, ‘Flux Profile Relations above Tall Vegetation’, Quart. J. R. Meteorol. Soc. 104, 199–211.

    Google Scholar 

  • Garratt, J. R.: 1980, ‘Surface Influence upon Vertical Profiles in the Atmospheric Near-Surface Layer’, Quart. J. R. Meteorol. Soc. 106, 803–819.

    Google Scholar 

  • Golder, D.: 1972, ‘Relations among Stability Parameters in the Surface Layer’, Boundary-Layer Meteorol. 3, 47–58.

    Google Scholar 

  • 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 

  • Irwin, J. S. and Binkowski, F. S.: 1981, ‘Estimation of the Monin-Obukhov Scaling Length Using On-Site Instrumentation’, Atmos. Env. 15, 1091–1094.

    Google Scholar 

  • Izumi, Y.: 1971, Kansas 1968 Field Program Data Report. Air Force Cambridge Res. Labor. AFCRL-72–0041, Environ. Res. Paper No. 379, Hanscom AFB, Mass., USA.

    Google Scholar 

  • Lettau, H. H. and Davidson, B.: 1957, Exploring the Atmosphere's First Mile, Pergamon Press, Inc., New York.

    Google Scholar 

  • Lo, A. K.: 1990, ‘On the Determination of Zero-Plane Displacement and Roughness Length for Flow over Forest Canopies’, Boundary-Layer Meteorol. 51, 255–268.

    Google Scholar 

  • Louis, J. F.: 1979, ‘A Parametric Model of Vertical Eddy Fluxes in the Atmosphere’, Boundary-Layer Meteorol. 17, 187–202.

    Google Scholar 

  • Myrup, L. O. and Ranzieri, A. J.: 1976, A Consistent Scheme for Estimating Diffusivities to be Used in Air Quality Models. Report CA-DOT-TL-7169-3-76-32, California Department of Transportation.

  • Panofsky, H. A. and Dutton, J. A.: 1983, Atmospheric Turbulence, Wiley and Sons.

  • Roberto, J. S., Casanova, J. L., Viloria, R. E., and Casanova, J.: 1985, ‘Evaluation of the Turbulent Parameters of the Unstable Surface Boundary Layer outside Businger's Range’, Atmos. Env. 19, 1555–1561.

    Google Scholar 

  • Sedefian, L. and Bennett, E.: 1980, ‘A Comparison of Turbulence Classification Schemes’, Atmos. Env. 14, 741–750.

    Google Scholar 

  • Segal, M. and Pielke, R. A.: 1988, ‘The Extrapolation of Vertical Profiles of Wind Speed within the Marine Atmospheric Surface Layer Using the p Formula’, J. Appl. Meteorol. 27, 174–181.

    Google Scholar 

  • Seinfeld, J. H.: 1986, Atmospheric Chemistry and Physics of Air Pollution, Wiley and Sons, New York.

    Google Scholar 

  • Skibin, D. and Businger, J. A.: 1985, ‘The Vertical Extent of the Long-Linear Wind Profile under Stable Stratification’, Atmos. Env. 19, 27–30.

    Google Scholar 

  • Tennekes, H.: 1982, ‘Similarity Relations, Scaling Laws and Spectral Dynamics’, in F. T. M. Nieuwstadt and H. van Dop (eds.), Atmospheric Turbulence and Air Pollution Modelling, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

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Zoumakis, N.M., Kelessis, A.G. The dependence of the bulk Richardson number on stability in the surface layer. Boundary-Layer Meteorol 57, 407–414 (1991). https://doi.org/10.1007/BF00120057

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