Development of boundary layer rolls from dynamic instabilities

D. J. Stensrud, H. N. Shirer

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Abstract

The development of atmospheric boundary layer rolls from the inflection point and parallel instabilities is examined analytically using several three-dimensional linear models of flow in a neutral, rotational fluid. These conditions are expressed as polynomials in the critical (eddy) Reynolds number Rec and depend on Fourier coefficients of a given height-dependent background wind profile. The preferred values of orientation angle θ and aspect ratio A, which describe the expected roll geometry, are assumed to be those that produce the smallest values of Rec. For the Ekman profile, the preferred values of θ and A are found to agree with those given by larger models, indicating that the simpler analytical models are incorporating the crucial information contained in the wind profile. Finally, a direct comparison with observations of atmospheric boundary layer rolls is given using a mean wind profile. For this case, the preferred values of θ, A and Rec associated with the pure inflection point instability mechanism agree well with their observed values. -from Authors

Original languageEnglish (US)
Pages (from-to)1007-1019
Number of pages13
JournalJournal of the Atmospheric Sciences
Volume45
Issue number6
DOIs
Publication statusPublished - Jan 1 1988

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All Science Journal Classification (ASJC) codes

  • Atmospheric Science

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