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Richardson number profiles through shear instability wave regions observed in the lower planetary boundary layer

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Abstract

Remote sensing of the lower planetary boundary layer in the vicinity of a meteorological tower on many occasions reveals the existence of shear instability (Kelvin-Helmholtz) waves. In general, such waves are found within shallow strata which are marked by strong thermal stability and large vertical wind shear. The independent and concurrent measurements of the vector wind and temperature, made on a 152-m high tower, allow the construction of wind and temperature profiles. From such measurements, the Richardson number profile is constructed as well as the instability regime according to Drazin's criterion. The results show that regions of shear-instability waves as depicted by the remote sensor (an acoustic sounder) agree well with Drazin's instability regime, and that within such regions the Richardson number is indeed ⩽0.25.

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References

  • Atlas, D. and Metcalf, J. I.: 1970, ‘The Amplitude and Energy of Breaking Kelvin-Helmholtz Waves and Turbulence’, Tech. Report No. 19, Laboratory for Atmospheric Probing, The University of Chicago.

  • Browning, K. A.: 1971, ‘Structure of the Atmosphere in the Vicinity of Large-Amplitude Kelvin-Helmholtz Billows’,Quart. J. Roy. Meteorol. Soc. 97, 283–299.

    Google Scholar 

  • Drazin, P. G.: 1958, ‘The Stability of a Shear Layer in an Unbounded Heterogeneous Inviscid Fluid’,J. Fluid Mech. 4, 214–224.

    Article  Google Scholar 

  • Emmanuel, C. B.: 1972, ‘Observations of Hehnholtz Waves in the Lower Atmosphere with an Acoustic Sounder’, Ph.D. Dissertation, Colorado State University, Fort Collins, Colorado.

    Google Scholar 

  • Emmanuel, C. B., Bean, B. R., McAllister, L. G., and Pollard, J. R.: 1972, ‘Observations of Helmholtz Waves in the Lower Atmosphere with an Acoustic Sounder’,J. Atmospheric Sci. 29, 886–892.

    Article  Google Scholar 

  • Goldstein, S.: 1931, ‘On the Stability of Superposed Streams of Fluids of Different Densities’,Proc. Roy. Soc. London A132, 524.

    Google Scholar 

  • Gossard, E. E., Richter, J. H., and Atlas, D.: 1970, ‘Internal Waves in the Atmosphere from High Resolution Radar Measurements’,J. Geophys. Res. 75, 3523–3536.

    Article  Google Scholar 

  • Hines, C. O.: 1971, ‘Generalizations of the Richardson Criterion for the Onset of Atmospheric Turbulence’,Quart. J. Roy. Meteorol. Soc. 97, 429–439.

    Article  Google Scholar 

  • Little, C. G.: 1969, ‘Acoustic Methods for the Remote Probing of the Lower Atmosphere’,Proc. IEEE 57, No. 4, 571.

    Article  Google Scholar 

  • Little, C. G.: 1972, ‘On the Detectability of Fog, Cloud, Rain and Snow by Acoustic Echo-Sounding Methods’,J. Atmospheric Sci. 29, 748–755.

    Article  Google Scholar 

  • McAllister, L. G.: 1968, ‘Acoustic Sounding of the Lower Troposphere’,J. Atmospheric Terrest. Phys. 30, 1439.

    Article  Google Scholar 

  • McAllister, L. G., Pollard, J. R., Mahoney, A. R., and Shaw, P. J. R.: 1969, ‘Acoustic Sounding — A New Approach to the Study of Atmospheric Structure’,Proc. IEEE 57, No. 4, 579.

    Article  Google Scholar 

  • Miles, J. W. and Howard, L. N.: 1964, ‘Note on a Heterogeneous Flow’,J. Fluid Mech. 20, 331.

    Article  Google Scholar 

  • Monin, A. S.: 1961, ‘Characteristics of the Scattering of Sound in a Turbulent Atmosphere’,Akust. Zh. 7, 457–461.

    Google Scholar 

  • Ormsby, J. F. A.: 1961, ‘Design of Numerical Filters with Applications to Missile Data Processing’, JACM, July, 440.

  • Richter, J. H.: 1969, ‘High Resolution Tropospheric Radar Sounding’,Radio Sci. 4, 1261–1268.

    Article  Google Scholar 

  • Scorer, R. S.: 1969, ‘Billow Mechanics’,Radio Sci. 4, 1299–1307.

    Article  Google Scholar 

  • Thorpe, S. A.: 1969, ‘Experiments on the Stability of Stratified Shear Flows’,Radio Sci. 4, 1327–1331.

    Article  Google Scholar 

  • Woods, J. D.: 1969, ‘On Richardson's Number as a Criterion for Laminar-Turbulent-Laminar Transition in the Ocean and Atmosphere’,Radio Sci. 4, 1289–1298.

    Article  Google Scholar 

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Emmanuel, C.B. Richardson number profiles through shear instability wave regions observed in the lower planetary boundary layer. Boundary-Layer Meteorol 5, 19–27 (1973). https://doi.org/10.1007/BF02188308

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