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Analytical Atmospheric Ekman-Type Solutions with Height-Dependent Eddy Viscosities

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Abstract

We study the geophysical fluid dynamics problem in the steady atmospheric Ekman layer for height-dependent eddy viscosities in the form of some quadratic and rational power functions. We use the appropriate boundary conditions to obtain the wind velocity profiles analytically. For these Ekman-type solutions, the angle between the wind vector at the bottom and the geostrophic wind vector can be smaller or bigger than the traditional value of \(\frac{\pi }{4}\).

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Authors and Affiliations

  1. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit No. 6, P.O. Box 1-764, 014700, Bucharest, Romania

    Delia Ionescu-Kruse

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  1. Delia Ionescu-Kruse
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Correspondence to Delia Ionescu-Kruse.

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Communicated by A. Constantin.

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Ionescu-Kruse, D. Analytical Atmospheric Ekman-Type Solutions with Height-Dependent Eddy Viscosities. J. Math. Fluid Mech. 23, 18 (2021). https://doi.org/10.1007/s00021-020-00543-1

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  • DOI: https://doi.org/10.1007/s00021-020-00543-1

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