2017/03/11 by Arnoldo Badillo, Omar K. Matar, Badillo, Arnoldo +1
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Plasma and Flow Control in Aerodynamics #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1703.09055
7 pages, 1 figure
arxiv created 2017/03/11 · openalex publication_date 2017/03/11 · arxiv updated 2017/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After decades of experimental, theoretical, and numerical research in fluid dynamics, many aspects of turbulence remain poorly understood. The main reason for this is often attributed to the multiscale nature of turbulent flows, which poses a formidable challenge. There are, however, properties of these flows whose roles and inter-connections have never been clarified fully. In this article, we present a new connection between the pressure drop, viscous dissipation, and the turbulent energy spectrum, which, to the best of our knowledge, has never been established prior to our work. We use this finding to show analytically that viscous dissipation in laminar pipe flows cannot increase the temperature of the fluid, and to also reproduce qualitatively Nikuradse's experimental results involving pressure drops in turbulent flows in rough pipes.