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Parametric Relations for the Atmospheric Boundary Layer

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Boundary Layer Structure
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Abstract

Some parametric relations for the atmospheric planetary boundary layer (PBL) are suggested for possible use in the various atmospheric circulation and air quality models, as well as in other applications. These are for parameterizing the mean wind and temperature profiles, the vertical fluxes of momentum, heat and moisture, the variances of velocity fluctuations and length and time scales in the PBL. The parametric relations for the PBL height, the vertical velocity at the top of the PBL and the total energy dissipation in the PBL are also discussed. Experimental and/or theoretical bases for the various parametric relation are given. Some of the suggested parameterizations should be considered as tentative, until they are properly validated.

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References

  • Arya, S.P.S.: 1975, ‘Geostrophic Drag and Heat Transfer Relations for the Atmospheric Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 101, 147–161.

    Article  Google Scholar 

  • Arya, S.P.S: 1977, ‘Suggested Revisions to Certain Boundary Layer Parameterization Schemes Used in Atmospheric Circulation Models’, Mon. Weath. Rev. 105, 215–227.

    Article  Google Scholar 

  • Arya, S.P.S.: 1978, ‘Comparative Effects of Stability, Baroclinity, and the Scale-Height Ratio on Drag Laws for the Atmospheric Boundary Layer’, J. Atmos. Sci. 35, 40–46.

    Article  Google Scholar 

  • Arya, S.P.S.: 1981, ‘Parameterizing the Height of the Stable Atmospheric Boundary Layer’, J. Appl. Meteorol. 20, 1192–1202.

    Article  Google Scholar 

  • Arya, S.P.S.: 1982, ‘Atmospheric Boundary Layer Over Homogeneous Terrain’, Chapter 6, Engineering Meteorology, E.J. Plate, editor, Elsevier Scientific Publishing Co., Amsterdam, the Netherlands.

    Google Scholar 

  • Arya, S.P.S. and Byun, D.W.: 1983, ‘Rate Equations for the PBL Depth (Urban vs. Rural)’, presented at the AMS Speciality Conference on Air Quality Modeling of the Nonhomogeneous, Nonstationary Urban Boundary Layer, October 31-November 4, 1983, Baltimore, U.S.A.

    Google Scholar 

  • Arya, S.P.S. and Wyngaard, J.C.: 1975, ‘Effect of Baroclinity on Wind Profiles and the Geostrophic Drag Law for the Convective Planetary Boundary Layer’, J. Atmos. Sci. 32, 767–778.

    Article  Google Scholar 

  • Benoit, R.: 1976, ‘A Comprehensive Parameterization of Atmospheric Boundary Layer for General Circulation Models’, Ph.D. Dissertation, McGill University and National Center for Atmospheric Research, 278

    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.

    Article  Google Scholar 

  • Brutsaert, W.H.: 1982, ‘Evaporation into the Atmosphere’, D. Reidel Publishing Co., Dordrecht, Holland, 299 p.

    Google Scholar 

  • Businger, J.A.: 1973, ‘Turbulent Transfer in the Atmospheric Surface Layer’, Workshop on Micrometeorology, D.A. Haugen, editor, American Meteorological Society, 71, 67–100.

    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.

    Article  Google Scholar 

  • Caughey, S.J.: 1982, ‘Observed Characteristics of the Atmospheric Boundary Layer’, Atmospheric Turbulence and Air Pollution Modeling, F.T.M. Nieuwstadt and H. van Dop, editors, D. Reidel Pub. Co., 107–158.

    Google Scholar 

  • Caughey, S.J. and Palmer, S.G.: 1979, ‘Some Aspects of Turbulence Structure through the Depth of the Convective Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 105, 811–827.

    Article  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 

  • Clarke, R.H. and Hess, G.D.: 1974, ‘Geostrophic Departure and the Functions A and B of Rossby-Number Similarity Theory’, Boundary- Layer Meteorol. 7, 267–287.

    Article  Google Scholar 

  • Deardorff, J.W.: 1970, ‘A Three-dimensional Numerical Investigation of the Idealized Planetary Boundary Layer’, Geophys. Fluid Dyn. 1, 377–410.

    Article  Google Scholar 

  • Deardorff, J.W.: 1972, ‘Parameterization of the Planetary Boundary Layer for use in General Circulation Models’, Mon. Weath. Rev. 100, 93–106.

    Article  Google Scholar 

  • Driedonks, A.G.M.: 1982, ‘Models and Observations of the Growth of the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 23, 283–306.

    Article  Google Scholar 

  • Garratt, J.R.: 1982, ‘Observations in the Nocturnal Boundary Layer’, Boundary-Layer Meteorol. 22, 21–48.

    Article  Google Scholar 

  • Garratt, J.R., Wyngaard, J.C. and Francey, R.J.: 1982, ‘Winds in the Atmospheric Boundary Layer-Prediction and Observations’, J. Atmos. Sci. 39, 1307–1316.

    Article  Google Scholar 

  • Hanna, S.R.: 1981, ‘Lagrangian and Eulerian Time-scale Relations in the Day-time Boundary Layer’, J. Appl. Meteorol. 20, 242–249.

    Article  Google Scholar 

  • Hanna, S.R.: 1982, ‘Applications in Air Pollution Modeling’, Atmospheric Turbulence and Air Polluction Modelling, F.T.M. Nieuwstadt and H. van Dop, editors, D. Reidel Pub. Co., 275–310.

    Google Scholar 

  • Kaimal, J.C., Wyngaard, J.C., Haugen, D.A. Coté, O.R. Izumi, Y., Caughey, S.J. and Readings, C.J.: 1976, ‘Turbulence Structure in the Convective Boundary Layer’, J. Atmos. Sci. 33, 2152–2169.

    Article  Google Scholar 

  • Lettau, H.H.: 1962, ‘Theoretical Wind Spirals in the Boundary Layer of a Barotropic Atmosphere’, Beitr, zur Phys. der Atmos. 35, 195–212.

    Google Scholar 

  • Meljarejo, J.W. and Deardorff, J.W.: 1974, ‘Stability Functions for the Boundary Layer Resistance Laws based upon Observed Boundary- Layer Heights’, J. Atmos. Sci. 31, 1324–1333.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Nieuwstadt, F.T.M.: 1983, ‘The Turbulent Structure of the Stable Nocturnal Boundary Layer’, Presented at the AMS Speciality Conference on Air Quality Modeling of the Nonhomogeneous, Nonstation- ary Urban Boundary Layer, Oct. 31 - Nov. 4, Baltimore, U.S.A.

    Google Scholar 

  • Nieuwstadt, F.T.M.: 1984, ‘Some Aspects of the Turbulent Stable Boundary Layer’, Presented at the 29th OHOLO Conference on Boundary Layer Structure-Modelling and Application to Air Pollution and Wind Energy, March 25–28, Zichron Ya’acov, Israel.

    Google Scholar 

  • Nieuwstadt, F.T.M. and Tennekes, H.: 1981, ‘A Rate Equation for the Nocturnal Boundary-layer Height’, J. Atmos. Sci. 38, 1418–1428.

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Pasquill, F.: 1974, ‘Atmospheric Diffusion’, 2nd Ed., John Wiley and Sons, New York, 429 pp.

    Google Scholar 

  • Tennekes, H.: 1973, vA Model for the Dynamics of Inversion above a Convective Boundary Layer’, J. Atmos. Sci. 30, 558–567.

    Article  Google Scholar 

  • Wesely, M.L. and Coulter, R.L.: 1983, ‘Meteorological Pollutant Profiles under very Stable Conditions’, Extended Abstracts, Sixth Symposium on Turbulence and Diffusion, March 22–25, 1983, Boston, Mass., American Meteorological Society, 294–296.

    Google Scholar 

  • Wetzel, P.J.: 1982, ‘Toward Parameterization of the Stable Boundary Layer’, J. Appl. Meteorol. 21, 7–13.

    Article  Google Scholar 

  • Wyngaard, J.C., Arya, S.P.S. and Coté, O.R.: 1974, ‘Some aspects of the Structure of Convective Planetary Boundary Layers’, J. Atmos. Sci. 31, 747–754.

    Article  Google Scholar 

  • Yamada, T.; 1976, ‘On the Similarity Functions A, B and C of the Planetary Boundary Layer’, J. Atmos. Sci. 33, 781–793.

    Article  Google Scholar 

  • Zilitinkevich, S.S.: 1975, ‘Resistance Laws and Prediction Equations for the Depth of the Planetary Boundary Layer’, J. Atmos. Sci. 32, 741–752.

    Article  Google Scholar 

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© 1984 D. Reidel Publishing Company, Dordrecht, Holland

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Arya, S.P.S. (1984). Parametric Relations for the Atmospheric Boundary Layer. In: Kaplan, H., Dinar, N. (eds) Boundary Layer Structure. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6514-0_3

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  • DOI: https://doi.org/10.1007/978-94-009-6514-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6516-4

  • Online ISBN: 978-94-009-6514-0

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