Publication Cover
Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 11
241
Views
3
CrossRef citations to date
0
Altmetric
Research Article

The Ekman spiral for two types of eddy viscosities

, ORCID Icon &
Pages 2925-2938 | Received 05 Nov 2021, Accepted 14 Feb 2022, Published online: 24 Feb 2022
 

Abstract

This paper further investigates the classical problem of the wind in the steady atmospheric Ekman layer. For the case of eddy viscosity being subjected to a quadratic function, we construct an explicit solution, where the used approach is different from Delia [Analytical atmospheric Ekman-type solutions with height-dependent eddy viscosities. J Math Fluid Mech. 2021;23:Article ID 18]. For the case of eddy viscosity being related to two-value piecewise-constant, we give a formula to compute the surface deflection angle by the constructed solution.

2010 Mathematics Subject Classification:

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is partially supported by the National Natural Science Foundation of China [grant number 11661016], Training Object of High Level and Innovative Talents of Guizhou Province [grant number (2016)4006], Guizhou Data Driven Modeling Learning and Optimization Innovation Team [grant number [2020]5016], Discipline and Master's Site Construction Project of Guiyang University by Guiyang City Financial Support Guiyang University [grant number 2021-xk04], the Slovak Research and Development Agency under the contract No. APVV-18-0308, and the Slovak Grant Agency VEGA Nos. 1/0358/20 and 2/0127/20.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.