Asymptotic turbulent friction in 2D rough-walled flows
| Autor: | Hamid Kellay, Alexandre Vilquin, Hugo Herouard, Patrick Fisher, Julie Jagielka, Pinaki Chakraborty, Gustavo Gioia, Simeon Djambov, Charles-Henri Bruneau |
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| Přispěvatelé: | Laboratoire Ondes et Matière d'Aquitaine (LOMA), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Fluid Mechanics Unit, Okinawa Institute of Science and Technology Graduate University, Continuum Physics Unit, This work was supported by the Institut Universitaire de France, the Conseil Régional Nouvelle Aquitaine, and the Okinawa Institute of Science and Technology Graduate University., Centre National de la Recherche Scientifique (CNRS)-Université de Bordeaux (UB) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Friction
Spectral exponent FOS: Physical sciences Scale (descriptive set theory) 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics 0103 physical sciences Turbulent flows [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] 010306 general physics Scaling Research Articles Physics Multidisciplinary [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph] Turbulence Mathematical analysis Spectrum (functional analysis) Fluid Dynamics (physics.flu-dyn) SciAdv r-articles Physics - Fluid Dynamics Roughness length Physical Sciences Soap film Standard theory rough walls Research Article |
| Zdroj: | Science Advances Science Advances, American Association for the Advancement of Science (AAAS), 2021, 7 (5), ⟨10.1126/sciadv.abc6234⟩ |
| ISSN: | 2375-2548 |
| Popis: | In turbulent rough-walled flows, the 2D friction-roughness relation differs from its 3D counterpart. The friction f is the property of wall-bounded flows that sets the pumping cost of a pipeline, the draining capacity of a river, and other variables of practical relevance. For highly turbulent rough-walled pipe flows, f depends solely on the roughness length scale r, and the f − r relation may be expressed by the Strickler empirical scaling f ∝ r1/3. Here, we show experimentally that for soap film flows that are the two-dimensional (2D) equivalent of highly turbulent rough-walled pipe flows, f ∝ r and the f − r relation is not the same in 2D as in 3D. Our findings are beyond the purview of the standard theory of friction but consistent with a competing theory in which f is linked to the turbulent spectrum via the spectral exponent α: In 3D, α = 5/3 and the theory yields f ∝ r1/3; in 2D, α = 3 and the theory yields f ∝ r. |
| Databáze: | OpenAIRE |
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