Energy dissipation bounds for flows in pipes and past bodies of general geometry
File(s)s11012-025-01957-9.pdf (1.2 MB)
Published version
Author(s)
Chernyshenko, Sergei
Type
Journal Article
Abstract
The problem considered can in general be described as the problem of proving rigorously that as the Reynolds number of a fluid flow tends to infinity, the drag coefficient remains bounded. It has been proven for flows in domains of certain, rather restrictive, set of geometries, but not in general. The drag is the sum of the pressure drag and friction drag. In essence, this paper gives a proof that the friction drag coefficient does remain bounded. Rather nontrivial implications of this result are discussed.
Date Issued
2025-10-01
Date Acceptance
2025-02-17
Citation
Meccanica, 2025, 60 (10), pp.2475-2486
ISSN
0025-6455
Publisher
Springer
Start Page
2475
End Page
2486
Journal / Book Title
Meccanica
Volume
60
Issue
10
Copyright Statement
© The Author(s) 2025 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
10.1007/s11012-025-01957-9
Publication Status
Published
Date Publish Online
2025-05-07