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Mawet S, Caps H, Dorbolo S, Elias F. Deformation of soap bubbles in uniform magnetic fields. Soft Matter 2023; 19:8318-8328. [PMID: 37869967 DOI: 10.1039/d3sm00936j] [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] [Indexed: 10/24/2023]
Abstract
The deformation of hemispherical sessile bubbles made of ferrofluid soap under vertical uniform magnetic fields was studied using Helmholtz coils. The deformation and the shape of the bubbles were monitored according to the amplitude of the magnetic field, the initial volume of the bubbles and the ferrofluid volume used to create them. The meniscus was found to bear most of the deformation, reshaping into a cylinder, with the remainder of the bubble forming a spherical cap, mainly adapting to the meniscus transformation. The growth of the meniscus height was rationalised using a simple model. More precisely, the meniscus shape depends on the competition between capillary, gravity and magnetic effects. These three ingredients can be rewritten to highlight two characteristic lengths of the system: the capillary and the magnetic lengths. Depending on the magnetic field intensity, the shape of the meniscus is described by one of the two lengths, thus revealing the existence of two distinct regimes.
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Affiliation(s)
- S Mawet
- CESAM Research Unit, University of Liège, B-4000 Liège, Belgium.
| | - H Caps
- CESAM Research Unit, University of Liège, B-4000 Liège, Belgium.
| | - S Dorbolo
- GRASP Lab, CESAM Research Unit, University of Liège, B-4000 Liège, Belgium
| | - F Elias
- PMMH, CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université Paris Cité, F-75005 Paris, France
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2
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Tsuchikusa K, Yamamoto K, Katsura M, de Paula CT, Modesto JAC, Dorbolo S, Pacheco-Vázquez F, Sobral YD, Katsuragi H. Disordering two-dimensional magnet-particle configurations using bidispersity. J Chem Phys 2023; 158:2893722. [PMID: 37260007 DOI: 10.1063/5.0149803] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2023] [Accepted: 05/08/2023] [Indexed: 06/02/2023] Open
Abstract
In various types of many-particle systems, bidispersity is frequently used to avoid spontaneous ordering in particle configurations. In this study, the relation between bidispersity and disorder degree of particle configurations is investigated. By using magnetic dipole-dipole interaction, magnet particles are dispersed in a two-dimensional cell without any physical contact between them. In this magnetic system, bidispersity is introduced by mixing large and small magnets. Then, the particle system is compressed to produce a uniform particle configuration. The compressed particle configuration is analyzed by using Voronoi tessellation for evaluating the disorder degree, which strongly depends on bidispersity. Specifically, the standard deviation and skewness of the Voronoi cell area distribution are measured. As a result, we find that the peak of standard deviation is observed when the numbers of large and small particles are almost identical. Although the skewness shows a non-monotonic behavior, a zero skewness state (symmetric distribution) can be achieved when the numbers of large and small particles are identical. In this ideally random (disordered) state, the ratio between pentagonal, hexagonal, and heptagonal Voronoi cells becomes roughly identical, while hexagons are dominant under monodisperse (ordered) conditions. The relation between Voronoi cell analysis and the global bond orientational order parameter is also discussed.
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Affiliation(s)
- K Tsuchikusa
- Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan
| | - K Yamamoto
- Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan
- Water Frontier Research Center (WaTUS), Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan
| | - M Katsura
- Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan
| | - C T de Paula
- Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília, DF 70910-900, Brazil
| | - J A C Modesto
- Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília, DF 70910-900, Brazil
| | - S Dorbolo
- GRASP, Institute of Physics, Building B5a, Sart Tilman, Université de Liège, B4000 Liège, Belgium
| | - F Pacheco-Vázquez
- Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570 Puebla, Mexico
| | - Y D Sobral
- Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília, DF 70910-900, Brazil
| | - H Katsuragi
- Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan
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Sobac B, Rednikov A, Dorbolo S, Colinet P. Erratum: Leidenfrost effect: Accurate drop shape modeling and refined scaling laws [Phys. Rev. E 90, 053011 (2014)]. Phys Rev E 2021; 103:039901. [PMID: 33862834 DOI: 10.1103/physreve.103.039901] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2021] [Indexed: 11/06/2022]
Abstract
This corrects the article DOI: 10.1103/PhysRevE.90.053011.
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4
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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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5
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Dorbolo S, Adami N, Dubois C, Caps H, Vandewalle N, Darbois-Texier B. Rotation of melting ice disks due to melt fluid flow. Phys Rev E 2016; 93:033112. [PMID: 27078452 DOI: 10.1103/physreve.93.033112] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2015] [Indexed: 11/07/2022]
Abstract
We report experiments concerning the melting of ice disks (85 mm in diameter and 14 mm in height) at the surface of a thermalized water bath. During the melting, the ice disks undergo translational and rotational motions. In particular, the disks rotate. The rotation speed has been found to increase with the bath temperature. We investigated the flow under the bottom face of the ice disks by a particle image velocimetry technique. We find that the flow goes downwards and also rotates horizontally, so that a vertical vortex is generated under the ice disk. The proposed mechanism is the following. In the vicinity of the bottom face of the disk, the water eventually reaches the temperature of 4 °C for which the water density is maximum. The 4 °C water sinks and generates a downwards plume. The observed vertical vorticity results from the flow in the plume. Finally, by viscous entrainment, the horizontal rotation of the flow induces the solid rotation of the ice block. This mechanism seems generic: any vertical flow that generates a vortex will induce the rotation of a floating object.
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Affiliation(s)
- S Dorbolo
- CESAM-GRASP, Département de Physique B5, Université de Liège, B-4000 Liège, Belgium
| | - N Adami
- CESAM-GRASP, Département de Physique B5, Université de Liège, B-4000 Liège, Belgium
| | - C Dubois
- CESAM-GRASP, Département de Physique B5, Université de Liège, B-4000 Liège, Belgium
| | - H Caps
- CESAM-GRASP, Département de Physique B5, Université de Liège, B-4000 Liège, Belgium
| | - N Vandewalle
- CESAM-GRASP, Département de Physique B5, Université de Liège, B-4000 Liège, Belgium
| | - B Darbois-Texier
- CESAM-GRASP, Département de Physique B5, Université de Liège, B-4000 Liège, Belgium
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6
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Brandenbourger M, Vandewalle N, Dorbolo S. Displacement of an Electrically Charged Drop on a Vibrating Bath. Phys Rev Lett 2016; 116:044501. [PMID: 26871337 DOI: 10.1103/physrevlett.116.044501] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/01/2015] [Indexed: 06/05/2023]
Abstract
In this work, the manipulation of an electrically charged droplet bouncing on a vertically vibrated bath is investigated. When a horizontal, uniform, and static electric field is applied to it, a motion is induced. The droplet is accelerated when the droplet is small. On the other hand, large droplets appear to move with a constant speed that depends linearly on the applied electrical field. In the latter regime, high-speed imaging of one bounce reveals that the droplet experiences an acceleration due to the electrical force during the flight and decelerates to 0 when interacting with the surface of the bath. Thus, the droplet moves with a constant average speed on a large time scale. We propose a criterion based on the force necessary to move a charged droplet at the surface of the bath to discriminate between constant speed and accelerated droplet regimes.
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Affiliation(s)
- M Brandenbourger
- CESAM-GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
| | - N Vandewalle
- CESAM-GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
| | - S Dorbolo
- CESAM-GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
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7
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Darbois Texier B, Dorbolo S. Droplets climbing a rotating helical fiber. Eur Phys J E Soft Matter 2015; 38:131. [PMID: 26687056 DOI: 10.1140/epje/i2015-15131-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/19/2015] [Accepted: 12/01/2015] [Indexed: 06/05/2023]
Abstract
A liquid droplet is placed on a rotating helical fiber. We find that the droplet may slide down, attach or climb up the fiber. We inspect experimentally the domain of existence of these three behaviors as a function of the geometrical characteristics of the fiber, its angle relatively to the horizontal, the wetting properties of the fluid and the rotating speed of the helix. A theoretical model is proposed in order to capture the boundaries of the experimental phase diagram.
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Affiliation(s)
- B Darbois Texier
- GRASP, Physics Dept., University of Liège, B4000, Liège, Belgium.
| | - S Dorbolo
- GRASP, Physics Dept., University of Liège, B4000, Liège, Belgium.
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8
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Lumay G, Schockmel J, Henández-Enríquez D, Dorbolo S, Vandewalle N, Pacheco-Vázquez F. Flow of magnetic repelling grains in a two-dimensional silo. Pap Phys 2015. [DOI: 10.4279/pip.070013] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022] Open
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9
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Ludewig F, Vandewalle N, Dorbolo S, Pakpour M, Lumay G. Bernal random loose packing through freeze-thaw cycling. Phys Rev E Stat Nonlin Soft Matter Phys 2015; 92:010202. [PMID: 26274104 DOI: 10.1103/physreve.92.010202] [Citation(s) in RCA: 3] [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: 02/27/2015] [Indexed: 06/04/2023]
Abstract
We study the effect of freeze-thaw cycling on the packing fraction of equal spheres immersed in water. The water located between the grains experiences a dilatation during freezing and a contraction during melting. After several cycles, the packing fraction converges to a particular value η(∞)=0.595 independently of its initial value η(0). This behavior is well reproduced by numerical simulations. Moreover, the numerical results allow one to analyze the packing structural configuration. With a Voronoï partition analysis, we show that the piles are fully random during the whole process and are characterized by two parameters: the average Voronoï volume μ(v) (related to the packing fraction η) and the standard deviation σ(v) of Voronoï volumes. The freeze-thaw driving modify the volume standard deviation σ(v) to converge to a particular disordered state with a packing fraction corresponding to the random loose packing fraction η(BRLP) obtained by Bernal during his pioneering experimental work. Therefore, freeze-thaw cycling is found to be a soft and spatially homogeneous driving method for disordered granular materials.
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Affiliation(s)
- F Ludewig
- GRASP, Université de Liège, B-4000 Liège, Belgium
| | - N Vandewalle
- GRASP, Université de Liège, B-4000 Liège, Belgium
| | - S Dorbolo
- GRASP, Université de Liège, B-4000 Liège, Belgium
| | - M Pakpour
- GRASP, Université de Liège, B-4000 Liège, Belgium
| | - G Lumay
- GRASP, Université de Liège, B-4000 Liège, Belgium
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10
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Hubert M, Robert D, Caps H, Dorbolo S, Vandewalle N. Resonant and antiresonant bouncing droplets. Phys Rev E Stat Nonlin Soft Matter Phys 2015; 91:023017. [PMID: 25768607 DOI: 10.1103/physreve.91.023017] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/24/2014] [Indexed: 06/04/2023]
Abstract
When placed onto a vibrating liquid bath, a droplet may adopt a permanent bouncing behavior, depending on both the forcing frequency and the forcing amplitude. The relationship between the droplet deformations and the bouncing mechanism is studied experimentally and theoretically through an asymmetric and dissipative bouncing spring model. Antiresonance phenomena are evidenced. Experiments and theoretical predictions show that both resonance at specific frequencies and antiresonance at Rayleigh frequencies play crucial roles in the bouncing mechanism. In particular, we show that they could be exploited for bouncing droplet size selection.
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Affiliation(s)
- M Hubert
- GRASP, Physics Department, University of Liège, B4000 Liège, Belgium
| | - D Robert
- GRASP, Physics Department, University of Liège, B4000 Liège, Belgium
| | - H Caps
- GRASP, Physics Department, University of Liège, B4000 Liège, Belgium
| | - S Dorbolo
- GRASP, Physics Department, University of Liège, B4000 Liège, Belgium
| | - N Vandewalle
- GRASP, Physics Department, University of Liège, B4000 Liège, Belgium
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11
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Sobac B, Rednikov A, Dorbolo S, Colinet P. Leidenfrost effect: Accurate drop shape modeling and refined scaling laws. Phys Rev E Stat Nonlin Soft Matter Phys 2014; 90:053011. [PMID: 25493885 DOI: 10.1103/physreve.90.053011] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/24/2014] [Indexed: 06/04/2023]
Abstract
We here present a simple fitting-parameter-free theory of the Leidenfrost effect (droplet levitation above a superheated plate) covering the full range of stable shapes, i.e., from small quasispherical droplets to larger puddles floating on a pocketlike vapor film. The geometry of this film is found to be in excellent quantitative agreement with the interferometric measurements of Burton et al. [Phys. Rev. Lett. 109, 074301 (2012)PRLTAO0031-900710.1103/PhysRevLett.109.074301]. We also obtain new scalings generalizing classical ones derived by Biance et al. [Phys. Fluids 15, 1632 (2003)PHFLE61070-663110.1063/1.1572161] as far as the effect of plate superheat is concerned and highlight the relative role of evaporation, gravity, and capillarity in the vapor film. To further substantiate these findings, a treatment of the problem by matched asymptotic expansions is also presented.
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Affiliation(s)
- B Sobac
- Université Libre de Bruxelles, TIPs-Fluid Physics, C.P. 165/67, av. F.D. Roosevelt 50, 1050 Brussels, Belgium
| | - A Rednikov
- Université Libre de Bruxelles, TIPs-Fluid Physics, C.P. 165/67, av. F.D. Roosevelt 50, 1050 Brussels, Belgium
| | - S Dorbolo
- GRASP, Physics Department, Université de Liège, B-4000 Liège, Belgium
| | - P Colinet
- Université Libre de Bruxelles, TIPs-Fluid Physics, C.P. 165/67, av. F.D. Roosevelt 50, 1050 Brussels, Belgium
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12
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Abstract
Antibubbles are ephemeral objects. Their lifetime is driven by the slow drainage of the air shell from the bottom to the top of the antibubble under the action of hydrostatic pressure. We show in this paper that this argument is only valid if the water used to make the surfactant mixture is saturated in air. Otherwise, two paths are used by the air, which conduct to the thinning and the eventual collapse of the air shell: the drainage from the bottom to the top of the antibubble and the dissolution of the air into the liquid. Using degassed water dramatically shortens the lifetime of the antibubbles, as observed experimentally and rationalised by time-dependent simulations. Consequently, the antibubble lifetime is not only correlated with physical and chemical properties of the air-liquid interface but also with the gas content of the liquid. We also show that pure gas dissolution does not depend on the antibubble radius, a behaviour that allows to rationalise unexplained experimental data found in literature.
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Affiliation(s)
- B Scheid
- TIPs, Fluid Physics Unit, Université Libre de Bruxelles, B-1050 Bruxelles, Belgium.
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13
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Abstract
We study experimentally how the bouncing dynamics of a hollow ball on a vibrating plate is modified when it is partially filled with liquid or grains. Whereas empty and liquid-filled balls display a dominant chaotic dynamics, a ball with grains exhibits a rich variety of stationary states, determined by the grain size and filling volume. In the collisional regime, i.e., when the energy injected to the system is mainly dissipated by interparticle collisions, an unexpected period-1 orbit appears independently of the vibration conditions, over a wide range. This is a self-regulated state driven by the formation and collapse of a granular gas within the ball during one cycle. In the frictional regime (dissipation dominated by friction), the grains move collectively and generate different patterns and steady modes: oscillons, waves, period doubling, etc. From a phase diagram and a geometrical analysis, we deduce that these modes are the result of a coupling (synchronization) between the vibrating plate frequency and the trajectory followed by the particles inside the cavity.
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Affiliation(s)
- F Pacheco-Vázquez
- Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico
| | - F Ludewig
- GRASP, Physics Department B5, Université de Liège, B4000-Liège, Belgium
| | - S Dorbolo
- GRASP, Physics Department B5, Université de Liège, B4000-Liège, Belgium
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Lumay G, Dorbolo S, Gerasymov O, Vandewalle N. Experimental study of a vertical column of grains submitted to a series of impulses. Eur Phys J E Soft Matter 2013; 36:16. [PMID: 23417126 DOI: 10.1140/epje/i2013-13016-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/16/2012] [Revised: 01/16/2013] [Accepted: 01/28/2013] [Indexed: 06/01/2023]
Abstract
We report physical phenomena occurring in a vertical Newton's cradle system. A dozen of metallic spheres are placed in a vertical tube. Therefore, the gravity induces a non-uniform pre-compression of the beads and a restoring force. An electromagnetic hammer hits the bottom bead at frequencies tuned between 1 and 14Hz. The motion of the beads are recorded using a high-speed camera. For low frequencies, the pulses travel through the pile and expel a few beads from the surface. Then, after a few bounces of these beads, the system relaxes to the chain of contacting grains. When the frequency is increased, the number of fluidized beads increases. In the fluidized part of the pile, adjacent beads are bouncing in opposition of phase. This phase locking of the top beads is observed even when the bottom beads experience chaotic motions. While the mechanical energy increases monotically with the bead vertical position, heterogeneous patterns in the kinetic energy distribution are found when the system becomes fluidized.
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Affiliation(s)
- G Lumay
- GRASP, Physics Department, University of Liège, B-4000, Liège, Belgium
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15
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Pacheco-Vázquez F, Dorbolo S. Rebound of a confined granular material: combination of a bouncing ball and a granular damper. Sci Rep 2013; 3:2158. [PMID: 23835468 PMCID: PMC6505399 DOI: 10.1038/srep02158] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2013] [Accepted: 06/19/2013] [Indexed: 11/26/2022] Open
Abstract
A ball dropped over a solid surface bounces several times before a complete stop. The bouncing can be reduced by introducing a liquid into the ball; however, the first rebound remains largely unaffected by the fluid. Granular materials can also work as dampers. We investigated the rebound of a container partially filled with a given mass of grains mi. During the collision, the kinetic energy of the container is partially transferred to the grains, the rebound is damped, and the fast energy dissipation through inter-particle collisions and friction decreases the bouncing time dramatically. For grain-filled cylinders, a completely inelastic collision (zero rebound) is obtained when mi ≥ 1.5εomc, where εo and mc are the coefficient of restitution and mass of the empty container. For grain-filled spheres, the first rebound is almost undamped, but the second collision is completely inelastic if mi ≫ mc. These findings are potentially useful to design new granular damping systems.
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Affiliation(s)
| | - S. Dorbolo
- GRASP, Physics Department B5, Université de Liège, B4000-Liège, Belgium
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16
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Gier S, Dorbolo S, Terwagne D, Vandewalle N, Wagner C. Bouncing of polymeric droplets on liquid interfaces. Phys Rev E Stat Nonlin Soft Matter Phys 2012; 86:066314. [PMID: 23368045 DOI: 10.1103/physreve.86.066314] [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: 01/25/2012] [Indexed: 06/01/2023]
Abstract
The effect of polymers on the bouncing behavior of droplets in a highly viscous, vertically shaken silicone oil bath was investigated in this study. Droplets of a sample liquid were carefully placed on a vibrating bath that was maintained well below the threshold of Faraday waves. The bouncing threshold of the plate acceleration depended on the acceleration frequency. For pure water droplets and droplets of aqueous polymer solutions, a minimum acceleration amplitude was observed in the acceleration threshold curves as a function of frequency. The bouncing acceleration amplitude for a droplet of a dilute aqueous polymer solution was higher than the acceleration amplitude for a pure water droplet. Measurements of the center of mass trajectory and the droplet deformations showed that the controlling parameter in the bouncing process was the oscillating elongational rate of the droplet. This parameter can be directly related to the elongational viscosity of the polymeric samples. The large elongational viscosity of the polymer solution droplets suppressed large droplet deformations, resulting in less chaotic bouncing.
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Affiliation(s)
- S Gier
- Experimentalphysik, Universität des Saarlandes, 66123 Saarbrücken, Germany
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17
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Pacheco-Vázquez F, Moreau F, Vandewalle N, Dorbolo S. Sculpting sandcastles grain by grain: self-assembled sand towers. Phys Rev E Stat Nonlin Soft Matter Phys 2012; 86:051303. [PMID: 23214775 DOI: 10.1103/physreve.86.051303] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/30/2012] [Indexed: 06/01/2023]
Abstract
We study the spontaneous formation of granular towers produced when dry sand is poured on a wet sand bed. When the liquid content of the bed exceeds a threshold value W*, the impacting grains have a nonzero probability to stick on the wet grains due to instantaneous liquid bridges created during the impact. The trapped grains become wet by the capillary ascension of water and the process continues, giving rise to stable narrow towers. The growth velocity is determined by the surface liquid content which decreases exponentially as the tower height augments. This self-assembly mechanism (only observed in the funicular and capillary regimes) could theoretically last while the capillary rise of water is possible; however, the structure collapses before reaching this limit. The collapse occurs when the weight of the tower surpasses the cohesive stress at its base. The cohesive stress increases as the liquid content of the bed is reduced. Consequently, the highest towers are found just above W*.
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Affiliation(s)
- F Pacheco-Vázquez
- GRASP, Physics Department B5, Université de Liège, B4000-Liège, Belgium
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18
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Dorbolo S, Ludewig F, Vandewalle N, Laroche C. How does an ice block assembly melt? Phys Rev E Stat Nonlin Soft Matter Phys 2012; 85:051310. [PMID: 23004753 DOI: 10.1103/physreve.85.051310] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/24/2011] [Revised: 02/22/2012] [Indexed: 06/01/2023]
Abstract
The melting of an assembly of ice blocks contained in a vertical cylinder and under an unidirectional load was investigated. The total volume occupied by the ice blocks and the volume of ice were simultaneously measured which allowed one to determine the volume fraction of the ice in the cylinder. While the ice volume continuously decreases, sudden breakdowns of the total volume were observed. Large reorganizations of the whole assembly occur. However, the maximal volume fraction found just after a large reorganization decreased with time. In addition, the modifications of the pile structure were investigated using an x-ray tomography imaging before and after one collapse. As the packing is better ordered along the walls, we suggest that the motion of the piston is governed by the layer of ice blocks located along the container wall. This layer was modeled by a two-dimensional assembly of disks. The model supports the idea that the geometrical frustrations explain the dynamics of the successive reorganization due to the shrinkage of the grains. Finally, numerical simulations allow one to conclude that the dynamics of the melting of the ice blocks is governed (i) by the confinement effect which induces defects in the packing and (ii) by the low friction between the ice blocks.
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Affiliation(s)
- S Dorbolo
- FNRS, GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
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Vandewalle N, Clermont L, Terwagne D, Dorbolo S, Mersch E, Lumay G. Symmetry breaking in a few-body system with magnetocapillary interactions. Phys Rev E Stat Nonlin Soft Matter Phys 2012; 85:041402. [PMID: 22680470 DOI: 10.1103/physreve.85.041402] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/25/2011] [Revised: 11/27/2011] [Indexed: 06/01/2023]
Abstract
We have experimentally investigated the interactions between floating magnetic spheres which are submitted to a vertical magnetic field, ensuring a tunable repulsion, while capillary forces induce attraction. We emphasize the complex arrangements of floating bodies. The equilibrium distance between particles exhibits hysteresis when the applied magnetic field is modified. Irreversible processes are evidenced. Symmetry breaking is also found for three identical floating bodies when the strength of the magnetic repulsion is tuned. We propose a Dejarguin-Landau-Verwey-Overbeek (DLVO)-like potential, i.e., an interaction potential with a primary and a secondary minimum, capturing the main physical features of the magnetocapillary interaction, which is relevant for self-assembly.
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Affiliation(s)
- N Vandewalle
- GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
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Delon G, Terwagne D, Dorbolo S, Vandewalle N, Caps H. Impact of liquid droplets on granular media. Phys Rev E Stat Nonlin Soft Matter Phys 2011; 84:046320. [PMID: 22181274 DOI: 10.1103/physreve.84.046320] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/15/2011] [Indexed: 05/31/2023]
Abstract
The crater formation due to the impact of a water droplet onto a granular bed has been experimentally investigated. Three parameters were tuned: the impact velocity, the size of the droplet, and the size of the grains. The aim is to determine the influence of the kinetic energy on the droplet pattern. The shape of the crater depends on the kinetic energy at the moment the droplet starts to impact the bed. The spreading and recession of the liquid during the impact were carefully analyzed from the dynamical point of view, using image analysis of high-speed video recordings. The different observed regimes are characterized by the balance between the impregnation time of the water by the granular bed by the water and the capillary time responsible for the recession of the drop.
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Affiliation(s)
- G Delon
- GRASP, Physics Department B5, Université de Liège, B4000-Liège, Belgium.
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Dorbolo S, Scheller T, Ludewig F, Lumay G, Vandewalle N. Influence of a reduced gravity on the volume fraction of a monolayer of spherical grains. Phys Rev E Stat Nonlin Soft Matter Phys 2011; 84:041305. [PMID: 22181133 DOI: 10.1103/physreve.84.041305] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2011] [Revised: 08/25/2011] [Indexed: 05/31/2023]
Abstract
Centrifuge force is used to study granular materials in low gravity conditions. We consider a monolayer of noncohesive spherical grains placed on a plate. Reduced gravity conditions can be simulated in the plane by tilting or by rotating the plate. We compare both approaches experimentally. The volume fraction is found to increase with the apparent gravity and saturates. A model based on the exponential distribution of the Voronoi cell areas has been built and is in excellent agreement with the experimental data by extrapolating the fits of the data. Moreover, numerical simulations exhibit that more arches can be maintained at low apparent gravities than at high.
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Affiliation(s)
- S Dorbolo
- GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
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Adami N, Dorbolo S, Caps H. Single thermal plume in locally heated vertical soap films. Phys Rev E Stat Nonlin Soft Matter Phys 2011; 84:046316. [PMID: 22181270 DOI: 10.1103/physreve.84.046316] [Citation(s) in RCA: 4] [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: 02/18/2011] [Revised: 08/29/2011] [Indexed: 05/31/2023]
Abstract
A vertical soap film is maintained by injection of a soap solution from the top. The film is then locally heated. Thermal plumes may be observed to rise in the film, depending on the magnitude of the heating and injected flows. The nearly two-dimensional nature of the system allows to visualize the motion of the plumes using an infrared camera. A model is proposed to describe the growth, emergence, and stationarity of the plumes in the film by taking into account both magnitudes of the heating ΔT and injected flow Q.
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Affiliation(s)
- N Adami
- GRASP, Université de Liège, Physics Department B5, B-4000 Liège, Belgium.
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Vandewalle N, Noirhomme M, Schockmel J, Mersch E, Lumay G, Terwagne D, Dorbolo S. Hysteretic behavior in three-dimensional soap film rearrangements. Phys Rev E Stat Nonlin Soft Matter Phys 2011; 83:021403. [PMID: 21405845 DOI: 10.1103/physreve.83.021403] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/20/2010] [Indexed: 05/30/2023]
Abstract
We report experiments on soap film configurations in a triangular prism for which the shape factor can be changed continuously. Two stable configurations can be observed for a range of the shape factor h, being the prism-height/edge-length ratio. A hysteretic behavior is found, due to the occurrence of another local minima in the free energy. Contrary to a common belief, soap films can be trapped in a particular configuration being different from a global surface minimization. This metastability can be evidenced from a geometrical model based on idealized structures. Depending on the configuration, the transition is either first or second order, providing clues on the structural relaxations taking place into three-dimensional foams, such as T1 rearrangements.
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Affiliation(s)
- N Vandewalle
- GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
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Delon G, Terwagne D, Adami N, Bronfort A, Vandewalle N, Dorbolo S, Caps H. Faraday instability on a network. Chaos 2010; 20:041103. [PMID: 21198064 DOI: 10.1063/1.3518693] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Affiliation(s)
- G Delon
- Department of Physics, GRASP, University of Liège, B-4000 Liège, Belgium
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Dorbolo S, Terwagne D, Delhalle R, Dujardin J, Huet N, Vandewalle N, Denkov N. Antibubble lifetime: Influence of the bulk viscosity and of the surface modulus of the mixture. Colloids Surf A Physicochem Eng Asp 2010. [DOI: 10.1016/j.colsurfa.2010.01.028] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Abstract
We show that a double emulsion (oil in water in oil) can be created starting from a compound droplet (surfactant solution in oil). The compound drop bounces on a vertically vibrated liquid surface. When the amplitude of the vibration exceeds a threshold value, the oil layer penetrates the water content and leaves a tiny oil droplet within. As this phenomenon occurs at each vigorous impact, the compound drop progressively transforms into a double emulsion. The emulsification threshold, which is observed to depend on the forcing frequency but not on the drop size, is rationalized by investigating the impact of compound drops onto a static liquid surface. The droplet creation occurs when the kinetic energy released at impact is larger than the energy required to deform the compound drop, namely when the Weber number is higher than a given threshold value.
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Affiliation(s)
- D Terwagne
- GRASP, Department of Physics, University of Liège, Liège, Belgium.
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Affiliation(s)
- D Terwagne
- University of Liege, B-4000 Liege, Belgium
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Lumay G, Dorbolo S, Vandewalle N. Compaction dynamics of a magnetized powder. Phys Rev E Stat Nonlin Soft Matter Phys 2009; 80:041302. [PMID: 19905303 DOI: 10.1103/physreve.80.041302] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/29/2009] [Indexed: 05/28/2023]
Abstract
We have investigated experimentally the influence of a magnetic interaction between the grains on the compaction dynamics of a granular pile submitted to a series of taps. The granular material used to perform this study is a mixture of metallic and glass grains. The packing is immersed in homogeneous external magnetic field. The magnetic field induces an interaction between the metallic grains that constitutes the tunable cohesion. The compaction characteristic time and the asymptotic packing fraction have been measured as a function of the Bond number which is the ratio between the cohesive magnetic force and the grain weight. These measurements have been performed for different fractions of metallic beads in the pile. When the pile is only made of metallic grains, the characteristic compaction time increases as the square root of the Bond number. While the asymptotic packing fraction decreases as the inverse of the Bond number. For mixtures, when the fraction of magnetized grains in the pile is increased, the characteristic time increases while the asymptotic packing fraction decreases. A simple mesoscopic model based on the formation of granular chains along the magnetic field direction is proposed to explain the observed macroscopic properties of the packings.
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Affiliation(s)
- G Lumay
- GRASP, Université de Liège, B-4000 Liège, Belgium
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Gilet T, Vandewalle N, Dorbolo S. Completely inelastic ball. Phys Rev E Stat Nonlin Soft Matter Phys 2009; 79:055201. [PMID: 19518510 DOI: 10.1103/physreve.79.055201] [Citation(s) in RCA: 5] [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: 02/27/2009] [Revised: 04/24/2009] [Indexed: 05/27/2023]
Abstract
This Rapid Communication presents an analytical study of the bouncing of a completely inelastic ball on a vertically vibrated plate. The interplay of saddle-node and period-doubling bifurcations leads to an intricate structure of the bifurcation diagram with uncommon properties, such as an infinity of bifurcation cascades in a finite range of the control parameter Gamma. A pseudochaotic behavior, consisting in arbitrarily long and complex periodic sequences, is observed through this generic system.
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Affiliation(s)
- T Gilet
- Department of Physics B5a, GRASP, University of Liège, B-4000 Liège, Belgium.
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Terwagne D, Gilet T, Vandewalle N, Dorbolo S. From bouncing to boxing. Chaos 2008; 18:041104. [PMID: 19123604 DOI: 10.1063/1.2997276] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Affiliation(s)
- D Terwagne
- University of Liege, B-4000 Liege, Belgium
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Gilet T, Terwagne D, Vandewalle N, Dorbolo S. Dynamics of a bouncing droplet onto a vertically vibrated interface. Phys Rev Lett 2008; 100:167802. [PMID: 18518248 DOI: 10.1103/physrevlett.100.167802] [Citation(s) in RCA: 12] [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] [Received: 11/09/2007] [Indexed: 05/26/2023]
Abstract
Low viscosity (<100 cSt) silicon oil droplets are placed on a high viscosity (1000 cSt) oil bath that vibrates vertically. The viscosity difference ensures that the droplet is more deformed than the bath interface. Droplets bounce periodically on the bath when the acceleration of its sinusoidal motion is larger than a threshold value. The threshold is minimum for a particular frequency of excitation: droplet and bath motions are in resonance. The bouncing droplet has been modeled by considering the deformation of the droplet and the lubrication force exerted by the air layer between the droplet and the bath. Threshold values are predicted and found to be in good agreement with our measurements.
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Affiliation(s)
- T Gilet
- GRASP, Physics Department B5a, University of Liège, B-4000 Liège, Belgium.
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Terwagne D, Vandewalle N, Dorbolo S. Lifetime of a bouncing droplet. Phys Rev E Stat Nonlin Soft Matter Phys 2007; 76:056311. [PMID: 18233760 DOI: 10.1103/physreve.76.056311] [Citation(s) in RCA: 5] [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: 05/30/2007] [Revised: 10/02/2007] [Indexed: 05/25/2023]
Abstract
When a droplet is gently laid onto the surface of the same liquid, it stays at rest for a moment before coalescence. The coalescence can be delayed and sometimes inhibited by injecting fresh air under the droplet. This can happen when the surface of the bath oscillates vertically. In this case the droplet basically bounces on the interface. The lifetime of the droplet has been studied with respect to the amplitude and the frequency of the excitation. The lifetime decreases when the acceleration increases. The thickness of the air film between the droplet and the bath has been investigated using interference fringes obtained when the system is illuminated by low-pressure sodium lamps. Moreover, both the shape evolution and the motion of the droplet center of mass have been recorded in order to evidence the phase offset between the deformation and the trajectory. A short lifetime is correlated to a small air-film thickness and to a large phase offset between the maximum of deformation and the minimum of the vertical position of the center of mass.
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Affiliation(s)
- D Terwagne
- GRASP-Photopôle, Physics Department B5, University of Liège, B-4000 Liège, Belgium
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Gilet T, Vandewalle N, Dorbolo S. Controlling the partial coalescence of a droplet on a vertically vibrated bath. Phys Rev E Stat Nonlin Soft Matter Phys 2007; 76:035302. [PMID: 17930296 DOI: 10.1103/physreve.76.035302] [Citation(s) in RCA: 5] [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: 04/16/2007] [Revised: 06/29/2007] [Indexed: 05/25/2023]
Abstract
A method is proposed to stop the cascade of partial coalescences of a droplet laid on a liquid bath. The strategy consists of vibrating the bath in the vertical direction in order to keep small droplets bouncing. Since large droplets are not able to bounce, they partially coalesce until they reach a critical size. The system behaves as a low pass filter: droplets smaller than the critical size are selected. This size has been investigated as a function of the acceleration and the frequency of the bath vibration. Results suggest that the limit size for bouncing is related to the first mode of the droplet deformation.
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Affiliation(s)
- T Gilet
- GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
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Creyssels M, Dorbolo S, Merlen A, Laroche C, Castaing B, Falcon E. Some aspects of electrical conduction in granular systems of various dimensions. Eur Phys J E Soft Matter 2007; 23:255-64. [PMID: 17619818 DOI: 10.1140/epje/i2006-10186-9] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/02/2006] [Accepted: 06/01/2007] [Indexed: 05/16/2023]
Abstract
We report on measurements of the electrical conductivity in both a 2D triangular lattice of metallic beads and in a chain of beads. The voltage/current characteristics are qualitatively similar in both experiments. At low applied current, the voltage is found to increase logarithmically in good agreement with a model of widely distributed resistances in series. At high enough current, the voltage saturates due to the local welding of microcontacts between beads. The frequency dependence of the saturation voltage gives an estimate of the size of these welded microcontacts. The DC value of the saturation voltage ( approximately 0.4 V per contact) gives an indirect measure of the number of welded contact carrying the current within the 2D lattice. Also, a new measurement technique provides a map of the current paths within the 2D lattice of beads. For an isotropic compression of the 2D granular medium, the current paths are localized in few discrete linear paths. This quasi-one-dimensional nature of the electrical conductivity thus explains the similarity between the characteristics in the 1D and 2D systems.
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Affiliation(s)
- M Creyssels
- Laboratoire de Physique, Ecole Normale Supérieure de Lyon, Centre National de la Recherche Scientifique, 46 allée d'Italie, 69 007 Lyon, France
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Gilet T, Mulleners K, Lecomte JP, Vandewalle N, Dorbolo S. Critical parameters for the partial coalescence of a droplet. Phys Rev E Stat Nonlin Soft Matter Phys 2007; 75:036303. [PMID: 17500787 DOI: 10.1103/physreve.75.036303] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/17/2006] [Revised: 11/13/2006] [Indexed: 05/15/2023]
Abstract
The partial coalescence of a droplet onto a planar liquid-liquid interface is investigated experimentally by tuning the viscosities of both liquids. The problem mainly depends on four dimensionless parameters: The Bond number (gravity vs surface tension), the Ohnesorge numbers (viscosity in both fluids vs surface tension), and the density relative difference. The ratio between the daughter droplet size and the mother droplet size is investigated as a function of these dimensionless numbers. Global quantities such as the available surface energy of the droplet have been measured during the coalescence. The capillary waves propagation and damping are studied in detail. The relation between these waves and the partial coalescence is discussed. Additional viscous mechanisms are proposed in order to explain the asymmetric role played by both viscosities.
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Affiliation(s)
- T Gilet
- GRASP, Physics Department B5, University of Liège, B-4000 Liège, Belgium.
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Scheller T, Huss C, Lumay G, Vandewalle N, Dorbolo S. Precursors to avalanches in a granular monolayer. Phys Rev E Stat Nonlin Soft Matter Phys 2006; 74:031311. [PMID: 17025627 DOI: 10.1103/physreve.74.031311] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/03/2006] [Revised: 06/27/2006] [Indexed: 05/12/2023]
Abstract
We investigate the stability of a granular monolayer composed of spherical grains on an inclined plate. When the tilt angle alpha increases, some reorganizations are observed throughout the pile. The packing fraction rho of the packing evolves by successive jumps. Those discontinuous events precede the collapse of the pile at a critical angle alphac. The occurrence of precursors before avalanches is modeled by stop-and-go motions of blocks due to the competition between sliding friction and the Janssen effect [J. Durand, (Springer-Verlag, New York, 2000)].
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Affiliation(s)
- T Scheller
- GRASP, Physics Department, University of Liège, B-4000 Liège, Belgium
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Abstract
We investigate the dynamics of a dimer bouncing on a vertically oscillated plate. The dimer, composed of two spheres rigidly connected by a light rod, exhibits several modes depending on initial and driving conditions. The first excited mode has a novel horizontal drift in which one end of the dimer stays on the plate during most of the cycle, while the other end bounces in phase with the plate. The speed and direction of the drift depend on the aspect ratio of the dimer. We employ event-driven simulations based on a detailed treatment of frictional interactions between the dimer and the plate in order to elucidate the nature of the transport mechanism in the drift mode.
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Affiliation(s)
- S Dorbolo
- Department of Physics, Clark University, Worcester, Massachusetts 01610, USA
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Abstract
A granular monolayer is composed by spherical grains on a horizontal plate. The plate is then tilted until the monolayer breaks down. This critical angle has been measured for different widths and heights of the rectangular monolayer. The highest critical angles are found when one of these two characteristic lengths is less than about 30 bead diameters. When the polydispersity is less than one percent, the monolayer may be stable till angles close to 90( degrees ). Arches induce large critical angles. On the other hand, for a large and high monolayer, the critical angle saturates towards a lower value. This angle is related to the static friction of a grain on the plate. A model based on the block dynamics is proposed to describe the behavior of the avalanche angle as a function of the size of the monolayer and the polydispersity of the beads.
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Affiliation(s)
- S Dorbolo
- GRASP, Physics Department, University of Liège, B-4000, Liège, Belgium.
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Ludewig F, Dorbolo S, Vandewalle N. Effect of friction in a toy model of granular compaction. Phys Rev E Stat Nonlin Soft Matter Phys 2004; 70:051304. [PMID: 15600600 DOI: 10.1103/physreve.70.051304] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/05/2004] [Indexed: 05/24/2023]
Abstract
A toy model of granular compaction which includes some resistance due to granular arches is proposed. In this model, the solid/solid friction of contacting grains is a key parameter and a slipping threshold omega(c) is defined. Realistic compaction behaviors have been obtained. Two regimes separated by a critical point omega*(c) of the slipping threshold have been emphasized: (i) a slow compaction with lots of paralyzed regions and (ii) an inverse logarithmic dynamics with a power-law scaling of grain mobility. Below the critical point omega*(c) , the physical properties of this frozen system become independent of omega(c) . Above the critical point omega*(c) --i.e., for low friction values--the packing properties behave as described by the classical Janssen theory for silos.
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Affiliation(s)
- F Ludewig
- GRASP, Institut de Physique B5, Université de Liège, B-4000 Liège, Belgium
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Caps H, Dorbolo S, Ponte S, Croisier H, Vandewalle N. Rolling and slipping motion of Euler's disk. Phys Rev E 2004; 69:056610. [PMID: 15244966 DOI: 10.1103/physreve.69.056610] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/20/2003] [Revised: 11/13/2003] [Indexed: 11/07/2022]
Abstract
We present an experimental study of the motion of a circular disk spun onto a table. With the help of a high speed video system, the temporal evolution of (i) the inclination angle alpha, (ii) the angular velocity omega, and (iii) the precession rate Omega are studied. The influence of the mass of the disk as well as the friction between the disk and the supporting surface are considered. Both inclination angle and angular velocity are observed to decrease according to a power law. We also show that the precession rate diverges as the motion stops. Measurements are performed very near the collapse as well as on long range times. Times to collapse have been also measured. Results are compared with previous theoretical and experimental works. The major source of energy dissipation is found to be the slipping of the disk on the plane.
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Affiliation(s)
- H Caps
- GRASP, Department of Physics B5, University of Liège, B-4000 Liège, Belgium
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Abstract
The electrical resistance of a metallic granular packing has been recorded at room temperature. A nearby burster between which sparks are produced, induces a decrease in the resistance of the granular packing as described in the works of Branly. Our measurements emphasize that the decrease is continuous and the resistance variations behave like a stretched exponential law due to the creation of new electrical paths as in nucleation-growth soldering processes. This behavior has been identified to be a diffusionlike process.
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Affiliation(s)
- S Dorbolo
- GRASP, Institut de Physique B5, Université de Liège, Belgium
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Abstract
We report acoustic measurements of popping bubbles during the collapsing of aqueous foams. The sound pattern is analyzed using classical methods of statistical physics. It is found that membrane rupture concerns a wide variety of situations: small and large membranes at the air/foam interface. Avalanches of popping bubbles are put into evidence. Time durations in between successive pops seem to be distributed on a universal power law.
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Affiliation(s)
- N Vandewalle
- GRASP, Institut de Physique B5, Université de Liège, B-4000 Liège, Belgium
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