The stability analysis of an inflexion-free velocity profile and its application to the night-time boundary layer in the atmosphere |
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Authors: | D Fua F Einaudi D P Lalas |
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Institution: | (1) Cooperative Institute for Research in Environmental Sciences, University of Colorado/NOAA, Boulder, Co., USA;(2) Cooperative Institute for Research in Environmental Sciences, University of Colorado/NOAA and Aeronomy Laboratory, NOAA, Boulder, Co., USA;(3) Dept. of Mechanical Engineering Sciences, Wayne State University, Detroit, Mich., USA |
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Abstract: | The characteristics of waves excited in a stratified shear flow with a velocity profile monotonically increasing above the ground are calculated numerically. It is shown that unstable modes exist when the Brunt-Väisälä frequency of the ambient atmosphere decreases sufficiently fast with height. Their growth rates as a function of the horizontal wavelength and the local Richardson number are given, and a comparison between them and experimental data obtained for the night-time-boundary layer of the Earth's atmosphere is carried out. Finally, the characteristics of the singular neutral modes that the system can support are presented.On a Fellowship from the National Research Council of Italy. |
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