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Noirhomme M, Cazaubiel A, Falcon E, Fischer D, Garrabos Y, Lecoutre-Chabot C, Mawet S, Opsomer E, Palencia F, Pillitteri S, Vandewalle N. Particle Dynamics at the Onset of the Granular Gas-Liquid Transition. Phys Rev Lett 2021; 126:128002. [PMID: 33834798 DOI: 10.1103/physrevlett.126.128002] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/02/2020] [Accepted: 03/04/2021] [Indexed: 06/12/2023]
Abstract
We study experimentally the dynamical behavior of few large tracer particles placed in a quasi-2D granular "gas" made of many small beads in a low-gravity environment. Multiple inelastic collisions transfer momentum from the uniaxially driven gas to the tracers whose velocity distributions are studied through particle tracking. Analyzing these distributions for an increasing system density reveals that translational energy equipartition is reached at the onset of the gas-liquid granular transition corresponding to the emergence of local clusters. The dynamics of a few tracer particles thus appears as a simple and accurate tool to detect this transition. A model is proposed for describing accurately the formation of local heterogeneities.
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Affiliation(s)
- M Noirhomme
- GRASP, CESAM Research Unit, Institut de Physique B5a, Sart Tilman, University of Liège, B-4000 Liège, Belgium
| | - A Cazaubiel
- Université de Paris, Matière et Systèmes Complexes (MSC), UMR 7057 CNRS, F-75013 Paris, France
| | - E Falcon
- Université de Paris, Matière et Systèmes Complexes (MSC), UMR 7057 CNRS, F-75013 Paris, France
| | - D Fischer
- Institute of Physics, Otto von Guericke University, D-39106 Magdeburg, Germany
| | - Y Garrabos
- CNRS, Université de Bordeaux, Bordeaux INP, ICMCB, UMR 5026, F-33600 Pessac, France
| | - C Lecoutre-Chabot
- CNRS, Université de Bordeaux, Bordeaux INP, ICMCB, UMR 5026, F-33600 Pessac, France
| | - S Mawet
- GRASP, CESAM Research Unit, Institut de Physique B5a, Sart Tilman, University of Liège, B-4000 Liège, Belgium
| | - E Opsomer
- GRASP, CESAM Research Unit, Institut de Physique B5a, Sart Tilman, University of Liège, B-4000 Liège, Belgium
| | - F Palencia
- CNRS, Université de Bordeaux, Bordeaux INP, ICMCB, UMR 5026, F-33600 Pessac, France
| | - S Pillitteri
- GRASP, CESAM Research Unit, Institut de Physique B5a, Sart Tilman, University of Liège, B-4000 Liège, Belgium
| | - N Vandewalle
- GRASP, CESAM Research Unit, Institut de Physique B5a, Sart Tilman, University of Liège, B-4000 Liège, Belgium
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Falcon E, Michel G, Prabhudesai G, Cazaubiel A, Berhanu M, Mordant N, Aumaître S, Bonnefoy F. Saturation of the Inverse Cascade in Surface Gravity-Wave Turbulence. Phys Rev Lett 2020; 125:134501. [PMID: 33034484 DOI: 10.1103/physrevlett.125.134501] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2020] [Accepted: 08/14/2020] [Indexed: 06/11/2023]
Abstract
We report on the observation of surface gravity-wave turbulence at scales larger than the forcing ones in a large basin. In addition to the downscale transfer usually reported in gravity-wave turbulence, an upscale transfer is observed, interpreted as the inverse cascade of weak turbulence theory. A steady state is achieved when the inverse cascade reaches a scale in between the forcing wavelength and the basin size, but far from the latter. This inverse cascade saturation, which depends on the wave steepness, is probably due to the emergence of nonlinear dissipative structures such as sharp-crested waves.
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Affiliation(s)
- E Falcon
- Université de Paris, Univ Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France
| | - G Michel
- Sorbonne Université, IJLRA, UMR 7190 CNRS, F-75 005 Paris, France
| | - G Prabhudesai
- Ecole Normale Supérieure, LPS, UMR 8550 CNRS, F-75 205 Paris, France
| | - A Cazaubiel
- Université de Paris, Univ Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France
| | - M Berhanu
- Université de Paris, Univ Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France
| | - N Mordant
- Université Grenoble Alpes, LEGI, UMR 5519 CNRS, F-38 000 Grenoble, France
| | - S Aumaître
- CEA-Saclay, Sphynx, DSM, URA 2464 CNRS, F-91 191 Gif-sur-Yvette, France
| | - F Bonnefoy
- Ecole Centrale de Nantes, LHEEA, UMR 6598 CNRS, F-44 321 Nantes, France
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Cazaubiel A, Mawet S, Darras A, Grosjean G, van Loon JJWA, Dorbolo S, Falcon E. Wave Turbulence on the Surface of a Fluid in a High-Gravity Environment. Phys Rev Lett 2019; 123:244501. [PMID: 31922874 DOI: 10.1103/physrevlett.123.244501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/24/2019] [Revised: 07/12/2019] [Indexed: 06/10/2023]
Abstract
We report on the observation of gravity-capillary wave turbulence on the surface of a fluid in a high-gravity environment. By using a large-diameter centrifuge, the effective gravity acceleration is tuned up to 20 times Earth's gravity. The transition frequency between the gravity and capillary regimes is thus increased up to one decade as predicted theoretically. A frequency power-law wave spectrum is observed in each regime and is found to be independent of the gravity level and of the wave steepness. While the timescale separation required by weak turbulence is well verified experimentally regardless of the gravity level, the nonlinear and dissipation timescales are found to be independent of the scale, as a result of the finite size effects of the system (large-scale container modes) that are not taken currently into account theoretically.
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Affiliation(s)
- A Cazaubiel
- Université de Paris, Univ Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France
| | - S Mawet
- CESAM-GRASP, Département de Physique B5a, Université de Liège, FNRS-B-4000 Liège, Belgium
| | - A Darras
- CESAM-GRASP, Département de Physique B5a, Université de Liège, FNRS-B-4000 Liège, Belgium
- Experimental Physics, Saarland University, D-66123 Saarbrücken, Germany
| | - G Grosjean
- CESAM-GRASP, Département de Physique B5a, Université de Liège, FNRS-B-4000 Liège, Belgium
| | - J J W A van Loon
- Gravity Simulation Laboratory, ESTEC, ESA, 2201 AZ Noordwijk, Netherlands
- ACTA, VU University, 1081 LA Amsterdam, Netherlands
| | - S Dorbolo
- CESAM-GRASP, Département de Physique B5a, Université de Liège, FNRS-B-4000 Liège, Belgium
| | - E Falcon
- Université de Paris, Univ Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France
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Aumaître S, Behringer RP, Cazaubiel A, Clément E, Crassous J, Durian DJ, Falcon E, Fauve S, Fischer D, Garcimartín A, Garrabos Y, Hou M, Jia X, Lecoutre C, Luding S, Maza D, Noirhomme M, Opsomer E, Palencia F, Pöschel T, Schockmel J, Sperl M, Stannarius R, Vandewalle N, Yu P. An instrument for studying granular media in low-gravity environment. Rev Sci Instrum 2018; 89:075103. [PMID: 30068123 DOI: 10.1063/1.5034061] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
A new experimental facility has been designed and constructed to study driven granular media in a low-gravity environment. This versatile instrument, fully automatized, with a modular design based on several interchangeable experimental cells, allows us to investigate research topics ranging from dilute to dense regimes of granular media such as granular gas, segregation, convection, sound propagation, jamming, and rheology-all without the disturbance by gravitational stresses active on Earth. Here, we present the main parameters, protocols, and performance characteristics of the instrument. The current scientific objectives are then briefly described and, as a proof of concept, some first selected results obtained in low gravity during parabolic flight campaigns are presented.
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Affiliation(s)
- S Aumaître
- SPEC, DSM, CEA-Saclay, CNRS URA 2464, F-91191 Gif-sur-Yvette, France
| | - R P Behringer
- Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA
| | - A Cazaubiel
- Université Paris Diderot, SPC, MSC, UMR 7057 CNRS, F-75013 Paris, France
| | - E Clément
- PMMH, ESPCI, UMR 7636 CNRS, F-75005 Paris, France
| | - J Crassous
- Université Rennes 1, IPR, UMR 6251 CNRS, F-35042 Rennes, France
| | - D J Durian
- University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, USA
| | - E Falcon
- Université Paris Diderot, SPC, MSC, UMR 7057 CNRS, F-75013 Paris, France
| | - S Fauve
- École Normale Supérieure, LPS, CNRS, UMR 8550, F-75005 Paris, France
| | - D Fischer
- IEP, Otto von Guericke Universität, D-39106 Magdeburg, Germany
| | - A Garcimartín
- DFMA, Universidad de Navarra, E-31080 Pamplona, Spain
| | - Y Garrabos
- CNRS, ICMCB, Université de Bordeaux, UMR 5026, F-33600 Pessac, France
| | - M Hou
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - X Jia
- Institut Langevin, ESPCI Paris, PSL, CNRS, F-75005 Paris, France
| | - C Lecoutre
- CNRS, ICMCB, Université de Bordeaux, UMR 5026, F-33600 Pessac, France
| | - S Luding
- MSM, University of Twente, 7500 AE Enschede, The Netherlands
| | - D Maza
- DFMA, Universidad de Navarra, E-31080 Pamplona, Spain
| | - M Noirhomme
- GRASP, Institute of Physics B5a, University of Liège, B-4000 Liège, Belgium
| | - E Opsomer
- GRASP, Institute of Physics B5a, University of Liège, B-4000 Liège, Belgium
| | - F Palencia
- CNRS, ICMCB, Université de Bordeaux, UMR 5026, F-33600 Pessac, France
| | - T Pöschel
- Friedrich-Alexander Universität, IMS, D-91052 Erlangen, Germany
| | - J Schockmel
- GRASP, Institute of Physics B5a, University of Liège, B-4000 Liège, Belgium
| | - M Sperl
- Institut für Materialphysik im Weltraum, DLR, D-51170 Köln, Germany
| | - R Stannarius
- IEP, Otto von Guericke Universität, D-39106 Magdeburg, Germany
| | - N Vandewalle
- GRASP, Institute of Physics B5a, University of Liège, B-4000 Liège, Belgium
| | - P Yu
- MSM, University of Twente, 7500 AE Enschede, The Netherlands
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