Variable Eddy Viscosities in the Atmospheric Boundary Layer from Ageostrophic Wind-Speed Profiles

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Abstract

We generate explicit height-dependent eddy viscosity coefficients in the Ekman layer from convex wind speed profiles. The solutions we obtain are parameterized in terms of the relative deflection angle between the wind directions at the top and bottom of the flow, as well as the geostrophic wind speed and a velocity scale we interpret as the transfer rate of horizontal momentum in the vertical direction. The solutions may be used to infer the thickness of the Ekman layer for a variety of deflection angles different from the deflection angle of the classic Ekman spiral.

Original languageEnglish
Article number43
JournalJournal of Mathematical Fluid Mechanics
Volume23
Issue number2
DOIs
Publication statusPublished - May 2021

Keywords

  • Boundary layer Ekman flows
  • Eddy viscosity coefficients
  • Exact solutions
  • Wind speed profiles

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