Publications (Adrian Daerr)

ORCID:
0000-0002-1083-9681

Most recent first chronological order

A bibtex file with all references can be downloaded here.

Andreotti, B., Toutain, W., Noûs, C., El Rhandour-Essmaili, S., Pérignon-Hubert, G. & Daerr, A. (2020), "The ping-pong ball water cannon", Compte-Rendu de l'Académie des Sciences, Mécanique.

[Abstract] [BibTeX] [URL] [pdf:Reprint] [pdf:Supp. Information] [mp4:Supp. movie 1] [mp4:Supp. movie 2] [mp4:Supp. movie 3] [mp4:Supp. movie 4] (article)

Abstract: The course "Phy Ex" was created by Yves Couder in the Paris VII university to teach experimental physics through projects. In this article, we present this teaching method through a particular project that took place in the autumn semester 2019: the ping-pong ball water cannon. In this experiment, a glass containing water and a floating table tennis ball is dropped from some height to the ground. Following the impact, the ball is ejected vertically upwards at speeds that can be several times the impact speed. We report the student team’s initial dimensional and order-of-magnitude analysis, and describe the successive experimental set-ups that showed (1) that free flight is essential for the phenomenon to occur, (2) that the order of magnitude of the ball ejection momentum is correctly predicted by a momentum balance based on integrating the pressure impulse during impact and (3) that making the ball surface more wettable, or stirring the liquid, drastically increases the momentum transfer. The proposed explanation, confirmed by direct high-speed video observations, is that the immersion depth of the ball increases during free fall due to capillary forces or vortex depression — in the absence of buoyancy — and that the enormous excess pressure on the bottom of the ball during impact drives the ball up towards its buoyancy equilibrium. The transferred momentum is sufficient to expel the ball at high velocity, very similar to the formation of liquid jets in collapsing cavities in liquids.

BibTeX:

@article{andreotti2020pingpong,
  author = {Andreotti, Bruno and Toutain, Wladimir and Noûs, Camille and El Rhandour-Essmaili, Sofia and Pérignon-Hubert, Guillaume and Daerr, Adrian},
  title = {The ping-pong ball water cannon},
  journal = {Compte-Rendu de l'Académie des Sciences, Mécanique},
  year = {2020},
  note = {(preprint, accepted for publication, 06/2020)},
  url = {https://hal.archives-ouvertes.fr/hal-02956000}
}

Curatolo, A.I., Zhou, N., Zhao, Y., Liu, C., Daerr, A., Tailleur, J. & Huang, J.-D. (2020), "Cooperative pattern formation in multi-component bacterial systems through reciprocal motility regulation", Nature Physics 16 , 1152-1157.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Self-organization is a hallmark of all living systems. In particular, coordinated cellular behavior, commonly orchestrated at the population level through reciprocal interactions among different cell species, regulates the spatial arrangement of specialized cell types to generate tissue patterning and form complex body layouts. The overwhelming complexity of living systems, however, makes deciphering the underlying mechanisms difficult and limits our knowledge of basic pattern-forming mechanisms in vivo. A successful strategy is then to work with synthetic, engineered systems, in which cellular interactions can be more easily tailored and studied. Here, we demonstrate a simple mechanism through which different populations of cells can self-organize in periodic patterns. Programmed population interactions are shown to lead to coordinated out-of-phase spatial oscillations of two engineered populations of Escherichia coli. Using a combination of experimental and theoretical approaches, we show how such patterns arise autonomously from reciprocal density-dependent activation of cellular motility between the two species, without the need of any preexisting positional or orientational cues. Moreover, by re-designing the interaction, the original out-of-phase spatial oscillation rhythm of the two populations can be accordingly turned into in-phase oscillations. The robustness and versatility of the underlying pattern-formation process suggest that it could both be generically encountered in nature, for instance in the complex bacterial ecosystems found in biofilms, and used to promote the mixing or demixing of active particles in a controlled way.

BibTeX:

@article{curatolo2020,
  author = {Agnese I. Curatolo and Nan Zhou and Yongfeng Zhao and Chenli Liu and Adrian Daerr and Julien Tailleur and Jian-Dong Huang},
  title = {Cooperative pattern formation in multi-component bacterial systems through reciprocal motility regulation},
  journal = {Nature Physics},
  year = {2020},
  volume = {16},
  pages = {1152--1157},
  url = {https://www.biorxiv.org/content/10.1101/798827v1},
  doi = {https://doi.org/10.1038/s41567-020-0964-z}
}

Zakine, R., Zhao, Y., Knežević, M., Daerr, A., Kafri, Y., Tailleur, J. & van Wijland, F. (2020), "Surface Tensions between Active Fluids and Solid Interfaces: Bare vs Dressed", Phys. Rev. Lett. 124(24) , 248003.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: We analyze the surface tension exerted at the interface between an active fluid and a solid boundary in terms of tangential forces. Focusing on active systems known to possess an equation of state for the pressure, we show that interfacial forces are of a more complex nature. Using a number of macroscopic setups, we show that the surface tension is a combination of an equation-of-state abiding part and of setup-dependent contributions. The latter arise from generic setup-dependent steady currents which "dress" the measurement of the "bare" surface tension. The former shares interesting properties with its equilibrium counterpart, and can be used to generalize the Young-Laplace law to active systems. We finally show how a suitably designed probe can directly access this bare surface tensions, which can also be computed using a generalized Virial formula.

BibTeX:

@article{zakine2020,
  author = {R. Zakine and Y. Zhao and M. Knežević and A. Daerr and Y. Kafri and J. Tailleur and F. van Wijland},
  title = {Surface Tensions between Active Fluids and Solid Interfaces: Bare vs Dressed},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society (APS)},
  year = {2020},
  volume = {124},
  number = {24},
  pages = {248003},
  doi = {https://doi.org/10.1103/physrevlett.124.248003}
}

Daerr, A., Courson, J., Abello, M., Toutain, W. & Andreotti, B. (2019), "The charmed string: self-supporting loops through air drag", J. Fluid Mech. 877 , R2.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: The string shooter experiment uses counter-rotating pulleys to propel a closed string forward. Its steady state exhibits a transition from a gravity-dominated regime at low velocity towards a high-velocity regime where the string takes the form of a self-supporting loop. Here we show that this loop of light string is not suspended in the air due to inertia, but through the hydrodynamic drag exerted by the surrounding fluid, namely air. We investigate this drag experimentally and theoretically for a smooth long cylinder moving along its axis. We then derive the equations describing the shape of the string loop in the limit of vanishing string radius. The solutions present a critical point, analogous to a hydraulic jump, separating a supercritical zone where the wave velocity is smaller than the rope velocity, from a subcritical zone where waves propagate faster than the rope velocity. This property could be leveraged to create a white hole analogue similar to what has been demonstrated using surface waves on a flowing fluid. Loop solutions that are regular at the critical point are derived, discussed and compared to the experiment. In the general case, however, the critical point turns out to be the locus of a sharp turn of the string, which is modelled theoretically as a discontinuity. The hydrodynamic regularisation of this geometrical singularity, which involves non-local and added mass effects, is discussed on the basis of dimensional analysis.

BibTeX:

@article{daerr2019,
  author = {Adrian Daerr and Juliette Courson and Margaux Abello and Wladimir Toutain and Bruno Andreotti},
  title = {The charmed string: self-supporting loops through air drag},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press (CUP)},
  year = {2019},
  volume = {877},
  pages = {R2},
  url = {https://doi.org/10.1017%2Fjfm.2019.631},
  doi = {https://doi.org/10.1017/jfm.2019.631}
}

Hamouche, L., Laalami, S., Daerr, A., Song, S., Holland, I.B., Séror, S.J., Hamze, K. & Putzer, H. (2017), "Bacillus subtilis Swarmer Cells Lead the Swarm, Multiply, and Generate a Trail of Quiescent Descendants", mBio 8(1) , e02102-16.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Bacteria adopt social behavior to expand into new territory, led by specialized swarmers, before forming a biofilm. Such mass migration of Bacillus subtilis on a synthetic medium produces hyperbranching dendrites that transiently (equivalent to 4 to 5 generations of growth) maintain a cellular monolayer over long distances, greatly facilitating single-cell gene expression analysis. Paradoxically, while cells in the dendrites (nonswarmers) might be expected to grow exponentially, the rate of swarm expansion is constant, suggesting that some cells are not multiplying. Little attention has been paid to which cells in a swarm are actually multiplying and contributing to the overall biomass. Here, we show in situ that DNA replication, protein translation and peptidoglycan synthesis are primarily restricted to the swarmer cells at dendrite tips. Thus, these specialized cells not only lead the population forward but are apparently the source of all cells in the stems of early dendrites. We developed a simple mathematical model that supports this conclusion.IMPORTANCE Swarming motility enables rapid coordinated surface translocation of a microbial community, preceding the formation of a biofilm. This movement occurs in thin films and involves specialized swarmer cells localized to a narrow zone at the extreme swarm edge. In the B. subtilis system, using a synthetic medium, the swarm front remains as a cellular monolayer for up to 1.5 cm. Swarmers display high-velocity whirls and vortexing and are often assumed to drive community expansion at the expense of cell growth. Surprisingly, little attention has been paid to which cells in a swarm are actually growing and contributing to the overall biomass. Here, we show that swarmers not only lead the population forward but continue to multiply as a source of all cells in the community. We present a model that explains how exponential growth of only a few cells is compatible with the linear expansion rate of the swarm.

BibTeX:

@article{hamouche2017,
  author = {Hamouche, Lina and Laalami, Soumaya and Daerr, Adrian and Song, Solène and Holland, I. Barry and Séror, Simone J. and Hamze, Kassem and Putzer, Harald},
  title = {Bacillus subtilis Swarmer Cells Lead the Swarm, Multiply, and Generate a Trail of Quiescent Descendants},
  journal = {mBio},
  year = {2017},
  volume = {8},
  number = {1},
  pages = {e02102-16},
  url = {http://mbio.asm.org/content/8/1/e02102-16.abstract},
  doi = {https://doi.org/10.1128/mBio.02102-16}
}

Hennes, M., Tailleur, J., Charron, G. & Daerr, A. (2017), "Active depinning of bacterial droplets: The collective surfing of Bacillus subtilis", Proceedings of the National Academy of Sciences 114(23) , 5958-5963.

[Abstract] [BibTeX] [DOI] [URL] [pdf:Final preprint (v20) with SI] [pdf:PNAS reprint] [pdf:PNAS SI reprint] [pdf:Final preprint (v20) without SI] [webm:Supp. movie SM1] [webm:Supp. movie SM2] [webm:Supp. movie SM3] [webm:Supp. movie SM4] [webm:Supp. movie SM5] (article)

Abstract: How systems are endowed with migration capacity is a fascinating question with implications ranging from the design of novel active systems to the control of microbial populations. Bacteria, which can be found in a variety of environments, have developed among the richest set of locomotion mechanisms both at the microscopic and collective levels. Here, we uncover, experimentally, a mode of collective bacterial motility in humid environment through the depinning of bacterial droplets. Although capillary forces are notoriously enormous at the bacterial scale, even capable of pinning water droplets of millimetric size on inclined surfaces, we show that bacteria are able to harness a variety of mechanisms to unpin contact lines, hence inducing a collective slipping of the colony across the surface. Contrary to flagella-dependent migration modes like swarming, we show that this much faster “colony surfing” still occurs in mutant strains of Bacillus subtilis lacking flagella. The active unpinning seen in our experiments relies on a variety of microscopic mechanisms, which could each play an important role in the migration of microorganisms in humid environment.

BibTeX:

@article{hennes2017,
  author = {Hennes, Marc and Tailleur, Julien and Charron, Gaëlle and Daerr, Adrian},
  title = {Active depinning of bacterial droplets: The collective surfing of Bacillus subtilis},
  journal = {Proceedings of the National Academy of Sciences},
  year = {2017},
  volume = {114},
  number = {23},
  pages = {5958--5963},
  url = {http://www.pnas.org/content/114/23/5958.abstract},
  doi = {https://doi.org/10.1073/pnas.1703997114}
}

Hennes, M., Tailleur, J., Charron, G. & Daerr, A. (2017), "Reply to Kovács et al.: Surfing or sliding: The act of naming and its implications", Proceedings of the National Academy of Sciences 114(42) , E8803-E8804.

[BibTeX] [DOI] [URL] [pdf] (article)

BibTeX:

@article{hennes2017reply,
  author = {Hennes, Marc and Tailleur, Julien and Charron, Gaëlle and Daerr, Adrian},
  title = {Reply to Kovács et al.: Surfing or sliding: The act of naming and its implications},
  journal = {Proceedings of the National Academy of Sciences},
  year = {2017},
  volume = {114},
  number = {42},
  pages = {E8803--E8804},
  url = {http://www.pnas.org/content/early/2017/10/02/1712278114.short},
  doi = {https://doi.org/10.1073/pnas.1712278114}
}

Daerr, A. (2016), "Pendent Drop", Software (ImageJ plugin) for surface tension measurement, https://github.com/adaerr/pendent-drop.

[BibTeX] [URL] (electronic)

BibTeX:

@electronic{daerr2016pendentdrop,
  author = {Adrian Daerr},
  title = {Pendent Drop},
  year = {2016},
  url = {https://imagej.net/Pendent_Drop}
}

Daerr, A. & Mogne, A. (2016), "Pendent Drop: An ImageJ Plugin to Measure the Surface Tension from an Image of a Pendent Drop", J. Open Res. Software 4(1) , e3.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: The pendent drop method for surface tension measurement consists in analysing the shape of an axisymmetric drop hanging from a capillary tube. This software is an add-on for the public domain image processing software ImageJ which matches a theoretical profile to the contour of a pendent drop, either interactively or by automatically minimising the mismatch. It provides an estimate of the surface tension, drop volume and surface area from the best matching parameters. It can be used in a headless setup.
It is hosted on http://fiji.sc/List_of_update_sites with the source code on https://github.com/adaerr/pendent-drop

BibTeX:

@article{daerr2016jors,
  author = {Adrian Daerr and Adrien Mogne},
  title = {Pendent Drop: An ImageJ Plugin to Measure the Surface Tension from an Image of a Pendent Drop},
  journal = {J. Open Res. Software},
  year = {2016},
  volume = {4},
  number = {1},
  pages = {e3},
  doi = {https://doi.org/10.5334/jors.97}
}

Couvreur, S. & Daerr, A. (2014), "Reply to the comment by Fathi et al. on ``The role of wetting heterogeneities in the meandering instability of a partially wetting rivulet''", Europhys. Lett. 108 , 54003.

[BibTeX] [DOI] [URL] [pdf] (article)

BibTeX:

@article{couvreur2014reply,
  author = {Couvreur, Stéphanie and Daerr, Adrian},
  title = {Reply to the comment by Fathi et al. on ``The role of wetting heterogeneities in the meandering instability of a partially wetting rivulet''},
  journal = {Europhys. Lett.},
  year = {2014},
  volume = {108},
  pages = {54003},
  url = {http://iopscience.iop.org/article/10.1209/0295-5075/108/54003},
  doi = {https://doi.org/10.1209/0295-5075/108/54003}
}

Couvreur, S., Daerr, A., Eggers, J. & Limat, L. (2014), "Instabilité de méandrage d’un filet liquide" in Comptes-rendus des Rencontres du Non-linéaire 2014, Falcon, É., Lefranc, M., Pétrélis, F. & Pham, C.-T. (editors), Online version only , 147.

[Abstract] [BibTeX] [URL] [pdf] (inproceedings)

Abstract: Un rivulet liquide sur un plan incliné cesse de s’écouler de façon rectiligne au delà d’un débit seuil, et adopte alors une trajectoire sinueuse qui rappelle les méandres de rivières. Dans certaines conditions expérimentales, cette instabilité est linéaire et convective. Nous avons montré que le substrat y joue un rôle clef, en ralentissant les perturbations de la trajectoire rectiligne par rapport à la vitesse moyenne de l’écoulement. Dans ces conditions, les forces inertielles sont destabilisantes, et provoquent l’instabilité lorsqu’elles dépassent les forces capillaires.
Nous discutons brièvement pourquoi ce mécanisme constitue un cadre général qui s’applique à d’autres instabilités similaires d’écoulements minces, tel que le flambage de nappes liquides, et comment il est lié à l’instabilité de Kelvin-Helmholtz.
Récemment nous nous sommes intéressés aux effets non-linéaires, qui n’affectent pas seulement la saturation de l’instabilité et la sélection de longueurs d’onde, mais dont certains modifient fondamentalement la nature de l’instabilité. C’est le cas notamment des forces de piégage de la ligne de contact, qui rendent l’expérience linéairement stable en mouillage partiel. Il existe alors toujours un seuil d’instabilité, mais celui-ci est maintenant fonction de l’état initial du système. On peut rendre compte de cette dépendance en mesurant directement la rugosité de la ligne de contact.

BibTeX:

@inproceedings{couvreur2014,
  author = {Couvreur, Stéphanie and Daerr, Adrian and Eggers, Jens and Limat, Laurent},
  title = {Instabilité de méandrage d’un filet liquide},
  booktitle = {Comptes-rendus des Rencontres du Non-linéaire 2014},
  year = {2014},
  pages = {147},
  note = {Version en ligne uniquement},
  url = {http://nonlineaire.univ-lille1.fr/SNL/archives/}
}

Vulin, C., Meglio, J.-M.D., Lindner, A.B., Daerr, A., Murray, A. & Hersen, P. (2014), "Growing Yeast into Cylindrical Colonies", Biophysical Journal 106(10) , 2214-2221.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Microorganisms often form complex multicellular assemblies such as biofilms and colonies. Understanding the
interplay between assembly expansion, metabolic yield, and nutrient diffusion within a freely growing colony remains a chal-
lenge. Most available data on microorganisms are from planktonic cultures, due to the lack of experimental tools to control
the growth of multicellular assemblies. Here, we propose a method to constrain the growth of yeast colonies into simple geo-
metric shapes such as cylinders. To this end, we designed a simple, versatile culture system to control the location of nutrient
delivery below a growing colony. Under such culture conditions, yeast colonies grow vertically and only at the locations where
nutrients are delivered. Colonies increase in height at a steady growth rate that is inversely proportional to the cylinder radius.
We show that the vertical growth rate of cylindrical colonies is not defined by the single-cell division rate, but rather by the colony
metabolic yield. This contrasts with cells in liquid culture, in which the single-cell division rate is the only parameter that defines
the population growth rate. This method also provides a direct, simple method to estimate the metabolic yield of a colony. Our
study further demonstrates the importance of the shape of colonies on setting their expansion. We anticipate that our approach
will be a starting point for elaborate studies of the population dynamics, evolution, and ecology of microbial colonies in complex
landscapes.

BibTeX:

@article{vulin2014,
  author = {Clément Vulin and Jean-Marc Di Meglio and Ariel B. Lindner and Adrian Daerr and Andrew Murray and Pascal Hersen},
  title = {Growing Yeast into Cylindrical Colonies},
  journal = {Biophysical Journal},
  publisher = {Elsevier BV},
  year = {2014},
  volume = {106},
  number = {10},
  pages = {2214--2221},
  url = {http://www.sciencedirect.com/science/article/pii/S0006349514003476},
  doi = {https://doi.org/10.1016/j.bpj.2014.02.040}
}

Berteloot, G., Daerr, A., Lequeux, F. & Limat, L. (2013), "Dip coating with colloids and evaporation", Chem. Eng. Process. 68 , 69-73.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: We investigate the coating of a glass plate with silica colloids by a dip coating method in presence of evaporation. We show experimentally that the deposed quantity plotted versus plate velocity V exhibits a minimum, in agreement with a simple argument developed by us in a previous, theoretical paper. This minimum corresponds to a crossover between the well-known Landau–Levich regime observed at higher plate velocity and a less well-known regime at lower plate velocity where the deposit is formed directly at the contact line. This very general result is consistent with experiments and calculations made by other teams with different compounds or under different drying geometries. Modifying our initial argument by taking into account the particle density gradient, we show that a simple modeling of each regime in terms of scaling laws is possible, the deposed mean thickness scaling respectively as V^−1 and V^2/3 in the lower and higher velocity limits.

BibTeX:

@article{berteloot2013crossover,
  author = {Guillaume Berteloot and Adrian Daerr and François Lequeux and Laurent Limat},
  title = {Dip coating with colloids and evaporation},
  journal = {Chem. Eng. Process.},
  year = {2013},
  volume = {68},
  pages = {69--73},
  doi = {https://doi.org/10.1016/j.cep.2012.09.001}
}

Kajiya, T., Brunet, P., Daerr, A., Royon, L., Narita, T., Lequeux, F. & Limat, L. (2013), "Wetting on gels: how the gel characteristics affect the contact line dynamics", Interfacial Phenomena and Heat Transfer 1(3) , 215-230.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: In this article, we summarize a series of experimental works and qualitative modelling regarding the dynamics of a liquid contact line on gel substrates. Two different situations were investigated, i.e., water on hydrophilic poly (2-acrylamido-2-methyl-propane-sulfonic acid-co-acrylamide) (PAMPS−PAAM) gels and water on hydrophobic poly (styrene-butadienestyrene)(SBS)−paraffin gels. In both situations, different gel characteristics largely affect the contact line dynamics: liquid diffusion and surface deformation by capillary force. On hydrophilic gels, the contact line of a sessile droplet exhibits successively two different behaviors: pinned and receding, and the transition between the behaviors is closely related to the local deformation of the gel surface due to swelling. On hydrophobic gels, the contact line exhibits several different regimes of motions, i.e., stick-slip, and two continuous motions. These transitions are characterized by a frequency f built upon the apparent contact line velocity v and the droplet radius R as f = v/R, indicating that the gel rheology largely affects the dynamics of liquid contact line. Our results provide a synthetic view of the characteristic features of how the wetting is different on gel surfaces. Finally, we designate unsolved problems and future directions.

BibTeX:

@article{kajiya2013review,
  author = {Tadashi Kajiya and Philippe Brunet and Adrian Daerr and Laurent Royon and Tetsuharu Narita and Francois Lequeux and Laurent Limat},
  title = {Wetting on gels: how the gel characteristics affect the contact line dynamics},
  journal = {Interfacial Phenomena and Heat Transfer},
  year = {2013},
  volume = {1},
  number = {3},
  pages = {215--230},
  doi = {https://doi.org/10.1615/InterfacPhenomHeatTransfer.2013010169}
}

Kajiya, T., Daerr, A., Narita, T., Royon, L., Lequeux, F. & Limat, L. (2013), "Advancing Liquid Contact Line on Visco-Elastic Gel Substrates: Stick-Slip vs Continuous Motions", Soft Matter 9 , 454-461.

[Abstract] [BibTeX] [DOI] [URL] [pdf:reprint final] [pdf:reprint web] [pdf:preprint] (article)

Abstract: We studied the dynamics of water sessile droplets advancing on hydrophobic and visco-elastic Poly(styrene-butadiene-styrene)(SBS)-paraffin gel substrates at various inflation rates. During the advancing process, the droplet contact line exhibits three different regimes of motions. When the contact line advances at a high velocity, the contact line moves continuously with a constant contact angle. As the contact line slows down, it starts stick-slip motion: the contact line is pinned at a certain position, then suddenly slips forward. With further decrease of the velocity, the contact line stops stick-slip and continuously advances again. The observed threshold values for the transitions of the contact line motions (continuous - stick-slip - continuous) indicate that the rheology of the gel drastically affects the dynamics of liquid on its surface. We suggest that on visco-elastic gels, the moving contact line exhibits both aspects of wetting on elastic solids and wetting on viscous liquids depending on the characteristic frequency of the gel surface deformation. At an intermediate regime, the stick-slip motion of the contact line appears. We also propose a simple geometrical model in the stick-slip regime which allows us to relate the jumps of droplet radius to the jumps of apparent contact angle.

BibTeX:

@article{kajiya2013stickslip,
  author = {Tadashi Kajiya and Adrian Daerr and Tetsuharu Narita and Laurent Royon and François Lequeux and Laurent Limat},
  title = {Advancing Liquid Contact Line on Visco-Elastic Gel Substrates: Stick-Slip vs Continuous Motions},
  journal = {Soft Matter},
  year = {2013},
  volume = {9},
  pages = {454--461},
  url = {http://pubs.rsc.org/en/Content/ArticleLanding/2013/SM/c2sm26714d},
  doi = {https://doi.org/10.1039/c2sm26714d}
}

Berteloot, G., Hoang, A., Daerr, A., Kavehpour, H.P., Lequeux, F. & Limat, L. (2012), "Evaporation of a sessile droplet: Inside the coffee stain", J. Coll. Interf. Sc. 370(1) , 155-161.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: We have investigated experimentally, for the first time at microscopic level, the growth of the deposit left around a drop of colloids drying on a solid surface (“coffee stain effect”). Direct observations show that there are several distinct phases of growth, the later ones exhibiting surprising pattern formations with spatial modulation of the deposit. In addition, fluorescence reveals that the initial growth phase is governed by a single length scale, increasing with time as t^2/3. We show that this exponent is a direct consequence of the divergence of evaporation near contact line evidenced by Deegan et al. We propose a simple ballistic model that allows us to calculate both this exponent and the prefactor, in agreement with yet available more complex descriptions. This model also opens the possibility to include effects neglected up to now.

BibTeX:

@article{berteloot2012evaporation,
  author = {Guillaume Berteloot and Anna Hoang and Adrian Daerr and H. Pirouz Kavehpour and Francois Lequeux and Laurent Limat},
  title = {Evaporation of a sessile droplet: Inside the coffee stain},
  journal = {J. Coll. Interf. Sc.},
  year = {2012},
  volume = {370},
  number = {1},
  pages = {155--161},
  url = {http://www.sciencedirect.com/science/article/pii/S0021979711013312},
  doi = {https://doi.org/10.1016/j.jcis.2011.10.053}
}

Couvreur, S. & Daerr, A. (2012), "The role of wetting heterogeneities in the meandering instability of a partial wetting rivulet", Europhys. Lett. 29 , 24004.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Rivers are subject to a meandering instability caused by sediment transport. A liquid rivulet on an inclined plate in partial wetting conditions exhibits a similar instability at sufficiently high flow rates. It takes a sinuous shape: curves become bigger and bigger, growing by inertia from contact line defects. Meanders are eventually stationary because of the pinning force. The way the initial rivulet is created has consequences on the contact line’s shape. We run experiments to study how the critical flow rate depends on initial conditions. We measure a strong dependence, in particular by modifying the initial state from which meanders are growing: it shows that the pinning force plays the main role in the meandering instability. This is in contrast with the previous approach in which only a balance is considered between inertia and a line tension of capillary origin. Because of wetting hysteresis, rivulets have the capacity to deform without any movement of the contact line. We show that the rivulet deforms in response to the centrifugal force. This deformation also helps us to understand how the critical flow rate depends on the initial rivulet shape.

BibTeX:

@article{couvreur2012,
  author = {Stéphanie Couvreur and Adrian Daerr},
  title = {The role of wetting heterogeneities in the meandering instability of a partial wetting rivulet},
  journal = {Europhys. Lett.},
  year = {2012},
  volume = {29},
  pages = {24004},
  url = {http://iopscience.iop.org/article/10.1209/0295-5075/99/24004},
  doi = {https://doi.org/10.1209/0295-5075/99/24004}
}

Couvreur, S. & Daerr, A. (2012), "Meandering of liquid rivulets on partially wetting inclines", Movie entry to the APS-DFD Gallery of Fluid Motion competition, arXiv:1210.3902 [physics.flu-dyn].

[Abstract] [BibTeX] [URL] [pdf] (electronic)

Abstract: This fluid dynamics video illustrates recent advances in the understanding of the mechanism which causes the sinuous path formed by liquid rivulets on partially wetting inclines. The images themselves show how a simple lighting set-up using a large Fresnel lens can be used to obtain high contrast images of large transparent objects.

BibTeX:

@electronic{couvreur2012gfm,
  author = {Stéphanie Couvreur and Adrian Daerr},
  title = {Meandering of liquid rivulets on partially wetting inclines},
  year = {2012},
  url = {http://arxiv.org/abs/1210.3902}
}

Daerr, A., Eggers, J., Limat, L. & Valade, N. (2011), "General Mechanism for the Meandering Instability of Rivulets of Newtonian Fluids", Phys. Rev. Lett. 106 , 184501.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: A rivulet flowing down an inclined plane often does not follow a straight path, but starts to meander spontaneously. Here we show that this instability is the result of two key ingredients: fluid inertia and anisotropy of the friction between rivulet and substrate. Meandering only occurs if the motion normal to the instantaneous flow direction is more difficult than parallel to it. We give a quantitative criterion for the onset of meandering and confirm it by comparing to the flow of a rivulet between two glass plates which are wetted completely. Above the threshold, the rivulet follows an irregular pattern with a typical wavelength of a few cm.

BibTeX:

@article{daerr2011meanderinstab,
  author = {Daerr, A. and Eggers, J. and Limat, L. and Valade, N.},
  title = {General Mechanism for the Meandering Instability of Rivulets of Newtonian Fluids},
  journal = {Phys. Rev. Lett.},
  year = {2011},
  volume = {106},
  pages = {184501},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.106.184501},
  doi = {https://doi.org/10.1103/PhysRevLett.106.184501}
}

Kajiya, T., Daerr, A., Narita, T., Royon, L., Lequeux, F. & Limat, L. (2011), "Dynamics of the contact line in wetting and diffusing processes of water droplets on hydrogel (PAMPS--PAAM) substrates", Soft Matter 7 , 11425.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: We studied the dynamics of the wetting and diffusing processes of water droplets on hydrogel (Poly (2-acrylamido-2-methyl-propane-sulfonic acid -co- acrylamide) (PAMPS-PAAM)) substrates. The profiles of the droplet and substrate were measured simultaneously using a grid projection method. We observed that as the water droplet diffuses into the gel, the contact line of the droplet exhibits successively two different behaviors: pinned and receding, and the transition between these two behaviors is closely related to the local deformation of the gel substrate. The contact line is pinned at an early stage. As the water diffusion proceeds, the contact angle of the droplet decreases while the angle of the local slope of the gel surface near the contact line increases. At the moment where these two angles almost correspond to each other, the contact line starts to recede. Our results indicate that due to the water diffusion, a locally swollen region is formed in the vicinity of the droplet-gel interface, and whether the contact line is pinned or recedes is determined by the surface property of this swollen region.

BibTeX:

@article{kajiya2011gels,
  author = {Kajiya, Tadashi and Daerr, Adrian and Narita, Tetsuharu and Royon, Laurent and Lequeux, François and Limat, Laurent},
  title = {Dynamics of the contact line in wetting and diffusing processes of water droplets on hydrogel (PAMPS--PAAM) substrates},
  journal = {Soft Matter},
  year = {2011},
  volume = {7},
  pages = {11425},
  url = {http://xlink.rsc.org/?doi=C1SM05944K},
  doi = {https://doi.org/10.1039/c1sm05944k}
}

Snoeijer, J.H., Peters, I., Limat, L. & Daerr, A. (2011), "Simple views on cornered contact lines near instability" in Proceedings of the 23rd Canadian Congress of Applied Mechanics, Vancouver , 172.

[Abstract] [BibTeX] [URL] [pdf] (inproceedings)

Abstract: Drops sliding down a partially wetting plate develop a sharp, cornered tail that above a critical speed emits little droplets. Similar contact line shapes and instabilities appear in coating and splashing and owing to the three-dimensional corner geometry the flow requires complicated modeling. Here we propose a simple comprehensive view of recent theoretical efforts, which describe these phenomena using the lubrication approximation. In particular, we derive explicit formulas for the opening angle of the corner and the curvature at the tip as a function of drop velocity. We present a detailed comparison of the model predictions with experimental results, confirming the strength of lubrication-based models to describe wetting phenomena, even for complicated geometries.

BibTeX:

@inproceedings{snoeijer2011canada,
  author = {Jacco H. Snoeijer and Ivo Peters and Laurent Limat and Adrian Daerr},
  title = {Simple views on cornered contact lines near instability},
  booktitle = {Proceedings of the 23rd Canadian Congress of Applied Mechanics, Vancouver},
  year = {2011},
  pages = {172},
  url = {http://stilton.tnw.utwente.nl/people/snoeijer/Publications.html}
}

Winkels, K.G., Peters, I.R., Evangelista, F., Riepen, M., Daerr, A., Limat, L. & Snoeijer, J.H. (2011), "Receding contact lines: From sliding drops to immersion lithography" in IMA5 - Interfacial Fluid Dynamics and Processes, Eur. Phys. J. Special Topics 192 , 195-205.

[Abstract] [BibTeX] [DOI] [pdf] (inproceedings)

Abstract: Instabilities of receding contact lines often occur through the formation of a corner with a very sharp tip. These dewetting structures also appear in the technology of Immersion Lithography, where water is put between the lens and the silicon wafer to increase the optical resolution. In this paper we aim to compare corners appearing in Immersion Lithography to those at the tail of gravity driven-drops sliding down an incline. We use high speed recordings to measure the dynamic contact angle and the sharpness of the corner, for varying contact line velocity. It is found that these quantities behave very similarly for Immersion Lithography and drops on an incline. In addition, the results agree well with predictions by a lubrication model for cornered contact lines, hinting at a generic structure of dewetting corners.

BibTeX:

@inproceedings{winkels2011lithography,
  author = {Winkels, K.G. and Peters, I.R. and Evangelista, F. and Riepen, M. and Daerr, A. and Limat, L. and Snoeijer, J.H.},
  title = {Receding contact lines: From sliding drops to immersion lithography},
  booktitle = {IMA5 - Interfacial Fluid Dynamics and Processes},
  year = {2011},
  volume = {192},
  pages = {195--205},
  doi = {https://doi.org/10.1140/epjst/e2011-01374-6}
}

Banaha, M., Daerr, A. & Limat, L. (2009), "Spreading of liquid drops on Agar gels" in Recent Advances in Coating, Drying and Dynamical Wetting, Eur. Phys. J. Special Topics 166 , 185-188.

[Abstract] [BibTeX] [DOI] [pdf] (inproceedings)

Abstract: We study the spreading of pure water drops or water drops with surfactine (surfactant produced by bacteria Bacillus Subtilis) on gels (Agar/Water gel). We find that, surprisingly, the drops do not spread indefinitely, but remain in a state of partial wetting. Eventually the liquid diffuses into the gel on a time scale short with respect to evaporation times. The drops containing surfactant show a complex dynamics: at first the spreading velocity decreases, until the front stops and starts receding at about constant velocity. Concurrently, a second front detaches from the rim of the drop if the agar concentration is sufficiently low, and continues to move outwards.

BibTeX:

@inproceedings{banaha2009gels,
  author = {Mehdi Banaha and Adrian Daerr and Laurent Limat},
  title = {Spreading of liquid drops on Agar gels},
  booktitle = {Recent Advances in Coating, Drying and Dynamical Wetting},
  year = {2009},
  volume = {166},
  pages = {185--188},
  doi = {https://doi.org/10.1140/epjst/e2009-00904-1}
}

Peters, I., Snoeijer, J.H., Daerr, A. & Limat, L. (2009), "Coexistence of Two Singularities in Dewetting Flows: Regularizing the Corner Tip", Phys. Rev. Lett. 103(11) , 114501.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Entrainment in wetting and dewetting flows often occurs through the formation of a corner with a very sharp tip. This corner singularity comes on top of the divergence of viscous stress near the contact line, which is only regularized at molecular scales. We investigate the fine structure of corners appearing at the rear of sliding drops. Experiments reveal a sudden decrease of tip radius, down to 20micrometre, before entrainment occurs. We propose a lubrication model for this phenomenon, which compares well to experiments. Despite the disparity of length scales, it turns out that the tip size is set by the classical viscous singularity, for which we deduce a nanometric length from our macroscopic measurements.

BibTeX:

@article{peters2009cornertip,
  author = {Ivo Peters and Jacco H. Snoeijer and Adrian Daerr and Laurent Limat},
  title = {Coexistence of Two Singularities in Dewetting Flows: Regularizing the Corner Tip},
  journal = {Phys. Rev. Lett.},
  year = {2009},
  volume = {103},
  number = {11},
  pages = {114501},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.103.114501},
  doi = {https://doi.org/10.1103/PhysRevLett.103.114501}
}

Andreotti, B., Daerr, A., Fermigier, M., Lebon, L., Limat, L. & Quéré, D. (editors) (2009), "Recent Advances in Coating, Drying and Wetting", Eur. Phys. J. Special Topics 166, EDP Sciences, Springer Verlag.

[BibTeX] [DOI] [URL] [pdf:editorial p.1-2] (proceedings)

BibTeX:

@proceedings{ecs2007proc,,
  title = {Recent Advances in Coating, Drying and Wetting},
  publisher = {EDP Sciences, Springer Verlag},
  year = {2009},
  volume = {166},
  note = {7th Biannual European Coating Symposium, Paris, France, 12-14 sept. 2007},
  url = {http://link.springer.com/journal/11734/166/1/page/1},
  doi = {https://doi.org/10.1140/epjst/e2009-00867-1}
}

Berteloot, G., Pham, C.-T., Daerr, A. & Limat, L. (2008), "Evaporation-induced flow near a contact line: consequences on coating and contact angle", Europhys. Lett. 83 , 14003.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: We propose a simple model of the dynamics of a contact line under evaporation and partial wetting conditions, taking into account the divergent nature of evaporation near the contact line, as evidenced by Deegan et al. (Nature, 389 (1997) 827). We show that evaporation can induce a non-negligible change of the contact angle together with modification of the flow near the contact line. We apply our results to dip-coating of a substrate with non volatile solutes. We show that at small velocities the coating thickness increases and scales like the inverse of the square of the velocity which implies a minimum of the coating thickness at the cross-over with the more familiar Landau-Levich regime.

BibTeX:

@article{berteloot2008evap,
  author = {Guillaume Berteloot and Chi-Tuong Pham and Adrian Daerr and Laurent Limat},
  title = {Evaporation-induced flow near a contact line: consequences on coating and contact angle},
  journal = {Europhys. Lett.},
  year = {2008},
  volume = {83},
  pages = {14003},
  doi = {https://doi.org/10.1209/0295-5075/83/14003}
}

Douady, S., Manning, A., Hersen, P., Elbelrhiti, H., Protière, S., Daerr, A. & Kabbachi, B. (2006), "The song of the dunes as a self-synchronized instrument", Phys. Rev. Lett. 97 , 018002.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Since Marco Polo it has been known that some sand dunes have the peculiar ability to emit a loud sound with a well-defined frequency, sometimes for several minutes. The origin of this sustained sound has remained mysterious, partly because of its rarity in nature. It has been recognized that the sound is not due to the air flow around the dunes but to the motion of an avalanche, and not to an acoustic excitation of the grains but to their relative motion. By comparing singing dunes around the world and two controlled experiments, in the laboratory and the field, we prove that the frequency of the sound is the frequency of the relative motion of the sand grains. Sound is produced because moving grains synchronize their motions. The laboratory experiment shows that the dune is not needed for sound emission. A velocity threshold for sound emission is found in both experiments, and an interpretation is proposed.

BibTeX:

@article{douady2006,
  author = {Stéphane Douady and A. Manning and Pascal Hersen and Hicham Elbelrhiti and Susie Protière and Adrian Daerr and B. Kabbachi},
  title = {The song of the dunes as a self-synchronized instrument},
  journal = {Phys. Rev. Lett.},
  year = {2006},
  volume = {97},
  pages = {018002},
  url = {http://prl.aps.org/abstract/PRL/v97/i1/e018002},
  doi = {https://doi.org/10.1103/PhysRevLett.97.018002}
}

Le Grand-Piteira, N., Daerr, A. & Limat, L. (2006), "Meandering rivulets on a plane: a simple balance between inertia and capillarity ?", Phys. Rev. Lett. 96 , 254503.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Experiments on streams of water flowing down a rigid substrate have been performed for various plate inclinations and flow rates, and we focused on the regime of stationary meanders. The outcome is that (i) the flow is highly hysteretic: the shape of the meanders varies with flow rate only for increasing flow rates, and the straight rivulet regime does not appear for decreasing flow rate. (ii) A simple force balance, including inertia, capillary forces, and also hysteresis of wetting, accounts well for the experimental instability threshold flow rate and for the final radius of curvature of the meanders.

BibTeX:

@article{legrand2006meander,
  author = {Nolwenn Le Grand-Piteira and Adrian Daerr and Laurent Limat},
  title = {Meandering rivulets on a plane: a simple balance between inertia and capillarity ?},
  journal = {Phys. Rev. Lett.},
  year = {2006},
  volume = {96},
  pages = {254503},
  url = {http://prl.aps.org/abstract/PRL/v96/i25/e254503},
  doi = {https://doi.org/10.1103/PhysRevLett.96.254503}
}

Rio, E., Daerr, A., Lequeux, F. & Limat, L. (2006), "Moving contact lines of a colloidal suspension in the presence of drying", Langmuir 22 , 3186-3191.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: This article presents the first experimental study of an advancing contact line for a colloidal suspension. A competition between the hydrodynamic flow due to the drop velocity and the drying is exhibited: drying accounts for particle agglomeration that pins the contact line whereas the liquid flow dilutes the agglomerated particles and allows the contact line to advance continuously. The dilution dominates at low concentration and high velocity, but at high concentration and low velocity, the contact line can be pinned by the particle agglomeration, which leads to a stick-slip motion of the contact line. The calculation of the critical speed splitting both regimes gives an order of magnitude comparable to that of experiments. Moreover, a model of agglomeration gives an estimation of both the size of the wrinkles formed during stick-slip and the force exerted by the wrinkle on the contact line.

BibTeX:

@article{rio2006colloids,
  author = {Emmanuelle Rio and Adrian Daerr and Fran,cois Lequeux and Laurent Limat},
  title = {Moving contact lines of a colloidal suspension in the presence of drying},
  journal = {Langmuir},
  year = {2006},
  volume = {22},
  pages = {3186--3191},
  doi = {https://doi.org/10.1021/la052989e}
}

Le Grand, N., Daerr, A. & Limat, L. (2005), "Shape and motion of drops sliding down an inclined plane", J. Fluid Mech. 541 , 293-315.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: We report experiments on the shape and motion of millimetre-sized drops sliding down a plane in a situation of partial wetting. When the Bond number based on the component of gravity parallel to the plane Bo_α exceeds a threshold, the drops start moving at a stationary velocity which increases linearly with Bo_α. When this velocity is increased by tilting the plate, the drops change their aspect ratio : they become longer and thinner, but maintain a constant, millimetre-scale height. While their aspect ratio changes, a threshold is reached at which the drops are no longer rounded but develop a ‘corner’ at their rear : the contact line breaks into two straight segments meeting at a singular point or at least in a region of high contact line curvature. This structure then evolves such that the velocity normal to the contact line remains equal to the critical value at which the corner appears, i.e. to a maximal speed of dewetting. At even higher velocities new shape changes occur in which the corner changes into a ‘cusp’, and later a tail breaks into smaller drops (pearling transition). Accurate visualisations show four main results. (i) The corner appears when a critical non-zero value of the receding contact angle is reached. (ii) The interface then has a conical structure in the corner regime, the in-plane and out-of-plane angles obeying a simple relationship dictated by a lubrication analysis. (iii) The corner tip has a finite non-zero radius of curvature at the transition to a corner, and its curvature diverges at a finite capillary number, just before the cusp appears. (iv) The cusp transition occurs when the corner opening in-plane half-angle reaches a critical value of about 45deg.

BibTeX:

@article{legrand2005drops,
  author = {Nolwenn Le Grand and Adrian Daerr and Laurent Limat},
  title = {Shape and motion of drops sliding down an inclined plane},
  journal = {J. Fluid Mech.},
  year = {2005},
  volume = {541},
  pages = {293--315},
  doi = {https://doi.org/10.1017/S0022112005006105}
}

Rio, E., Daerr, A., Andreotti, B. & Limat, L. (2005), "Boundary Conditions in the Vicinity of a Dynamic Contact Line: Experimental Investigation of Viscous Drops Sliding Down an Inclined Plane", Phys. Rev. Lett. 94 , 024503.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: To probe the microscopic balance of forces close to a moving contact line, the boundary conditions around viscous drops sliding down an inclined plane are investigated. At first, the variation of the contact angle as a function of the scale of analysis is discussed. The dynamic contact angle is measured at a scale of 6,μm all around sliding drops for different volumes and speeds. We show that it depends only on the capillary number based on the local liquid velocity, measured by particle tracking. This velocity turns out to be normal to the contact line everywhere. It indirectly proves that, in comparison with the divergence involved in the normal direction, the viscous stress is not balanced by intermolecular forces in the direction tangential to the contact line, so that any motion in this last direction gets damped.

BibTeX:

@article{rio2005boundary,
  author = {Emmanuelle Rio and Adrian Daerr and Bruno Andreotti and Laurent Limat},
  title = {Boundary Conditions in the Vicinity of a Dynamic Contact Line: Experimental Investigation of Viscous Drops Sliding Down an Inclined Plane},
  journal = {Phys. Rev. Lett.},
  year = {2005},
  volume = {94},
  pages = {024503},
  doi = {https://doi.org/10.1103/PhysRevLett.94.024503}
}

Limat, L., Daerr, A., Le Grand, N. & Stone, H.-A. (2004), "Drops sliding along an inclined plane: experiments vs. a 3D hydrodynamic model" in Proceedings 5th European Coating Symposium , 141-148.

[Abstract] [BibTeX] [pdf] (inproceedings)

Abstract: We present recent experiments on drops sliding along an inclined plane in situation of partial wetting. Above a critical capillary number the contact line edging the drops becomes singular at the drop rear: a `corner' develops, where the contact line exhibits an angulous shape. Views taken from above and from the side show that this occurs when a non-zero critical dynamic angle is reached at the drop rear, the interface assuming a conical shape. This conical shape is recovered by seeking a 3D similarity solution of the flow near the corner tip in the lubrication approximation. This model reproduces accurately the correlations between two characteristic angles of the cone.

BibTeX:

@inproceedings{limat2004,
  author = {Laurent Limat and Adrian Daerr and Nolwenn Le Grand and H.-A. Stone},
  title = {Drops sliding along an inclined plane: experiments vs. a 3D hydrodynamic model},
  booktitle = {Proceedings 5th European Coating Symposium},
  publisher = {Polytype},
  year = {2004},
  pages = {141--148}
}

Rio, E., Daerr, A. & Limat, L. (2004), "Probing with a laser sheet the contact angle distribution along a contact line", J. Coll. Interf. Sc. 269(1) , 164-170.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: An optical method for probing contact angle distribution along contact lines of any shape using a laser sheet is proposed. This method is applied to a dry patch formed inside a film flowing along an inclined plane, both liquid and solid being transparent. Falling normally to the plane, a laser sheet cuts the contact line and is moved along this line. Distortions of the sheet trace observed on a screen put below the plane allow us to extract the contact angle distribution and the local line inclination along the line. Our results show that the contact angle around a dry patch is nearly constant and equal to the static advancing angle, at least when the evolution of its shape is followed for increasing flow rates. This supports a model of dry patch shape recently proposed by Podgorski and co-workers. Preliminary results obtained for decreasing flow are also qualitatively observed.

BibTeX:

@article{rio2004laser,
  author = {Emmanuelle Rio and Adrian Daerr and Laurent Limat},
  title = {Probing with a laser sheet the contact angle distribution along a contact line},
  journal = {J. Coll. Interf. Sc.},
  year = {2004},
  volume = {269},
  number = {1},
  pages = {164--170},
  doi = {https://doi.org/10.1016/j.jcis.2003.07.005}
}

Daerr, A., Lee, P., Lanuza, J. & Clément, É. (2003), "Erosion patterns in a sediment layer", Phys. Rev. E 67 , 065201(R).

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: We report here on a laboratory-scale experiment which reproduces a rich variety of natural patterns with few control parameters. In particular, we focus on intriguing rhomboid structures often found on sandy shores and flats. We show that the standard views based on water surface waves do not explain the phenomenon, and we evidence a different mechanism based on mud avalanche instability.

BibTeX:

@article{daerr2003erosion,
  author = {Adrian Daerr and Peter Lee and Jose Lanuza and Éric Clément},
  title = {Erosion patterns in a sediment layer},
  journal = {Phys. Rev. E},
  year = {2003},
  volume = {67},
  pages = {065201(R)},
  url = {http://link.aps.org/abstract/PRE/v67/e065201},
  doi = {https://doi.org/10.1103/PhysRevE.67.065201}
}

Andreotti, B., Daerr, A. & Douady, S. (2002), "On scaling laws in granular flows down a rough plane", Phys. Fluids 14 , 415-418.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: The scaling properties of granular flows down an inclined plane are investigated in a model previously proposed to describe surface flows on a sandpile. Introducing a depth dependant friction, we are able to reproduce the results obtained experimentally by [O.Pouliquen, Phys. Fluids 11, 542 and 1956 (1999)] on both the fronts velocities and their shapes.

BibTeX:

@article{andreotti2002,
  author = {Bruno Andreotti and Adrian Daerr and Stéphane Douady},
  title = {On scaling laws in granular flows down a rough plane},
  journal = {Phys. Fluids},
  year = {2002},
  volume = {14},
  pages = {415--418},
  url = {http://pof.aip.org/resource/1/phfle6/v14/i1/p415_s1},
  doi = {https://doi.org/10.1063/1.1416884}
}

Douady, S., Andreotti, B., Daerr, A. & Cladé, P. (2002), "From a grain to avalanches: on the physics of granular surface flows", C. R. Physique 3 , 177-186.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Granular surface flows have still to be fully modelled. Analysing the motion of a single grain can already help us to understand the physical origin of several characteristic angles (starting, stopping, jumping angles). Then looking at layers of grains allows the inference of the velocity profile inside the flowing layer, and the physical origin of the flow depth selection. Then these results can be plugged into a general model of mass and momentum conservation integrated vertically (St-Venant). This model can be tested on stationary flows, but also on transients, such as avalanches.

BibTeX:

@article{douady2002,
  author = {Stéphane Douady and Bruno Andreotti and Adrian Daerr and Pierre Cladé},
  title = {From a grain to avalanches: on the physics of granular surface flows},
  journal = {C. R. Physique},
  year = {2002},
  volume = {3},
  pages = {177--186},
  url = {http://www.sciencedirect.com/science/article/pii/S1631070502013105},
  doi = {https://doi.org/10.1016/S1631-0705(02)01310-5}
}

Daerr, A. (2001), "Dynamical Equilibrium of Avalanches on Rough Planes", Phys. Fluids 13(7) , 2115-2124.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: We present experimental results on avalanches which are triggered in a metastable static layer on an rough inclined plane. We observe that despite the continuous increase in mass of a perturbation while it runs down, the flow reaches a dynamical equilibrium where the fronts evolve at constant speed and the mass is spread. The head front is found to be a shock wave with a crest, and its transient acceleration phase is studied. In contrast, the rear front grows in a self-similar manner from the beginning. An instability is observed which breaks thin flowing layers down into solitary waves.

BibTeX:

@article{daerr2001,
  author = {Adrian Daerr},
  title = {Dynamical Equilibrium of Avalanches on Rough Planes},
  journal = {Phys. Fluids},
  year = {2001},
  volume = {13},
  number = {7},
  pages = {2115--2124},
  url = {http://link.aip.org/link/?PHFLE6/13/2115/1},
  doi = {https://doi.org/10.1063/1.1377864}
}

Douady, S., Andreotti, B., Cladé, P. & Daerr, A. (2001), "The four avalanche fronts: a test case for granular surface flow modeling", Adv. Complex Syst. in Advances in Complex Systems 4(4) , 509-522.

[Abstract] [BibTeX] [DOI] [pdf] (article)

Abstract: Granular surface flows have still to be fully modelled. Here, we present the four types of front that can be observed in avalanches. These strongly inhomogeneous and unsteady flows are very sensitive test cases for the different types of model. We show that, at least qualitatively for the moment, the model we propose, based on the analysis of the motion of a single grain and layers of grains, can reproduce the different characteristics of these four fronts.

BibTeX:

@article{douady2001acs,
  author = {Stéphane Douady and Bruno Andreotti and Pierre Cladé and Adrian Daerr},
  title = {The four avalanche fronts: a test case for granular surface flow modeling},
  booktitle = {Advances in Complex Systems},
  journal = {Adv. Complex Syst.},
  year = {2001},
  volume = {4},
  number = {4},
  pages = {509--522},
  doi = {https://doi.org/10.1142/S0219525901000449}
}

Douady, S., Andreotti, B., Daerr, A. & Cladé, P. (2001), "The four fronts and the two avalanches" in Powders and Grains 2001, Kishino, Y. (editors).

[BibTeX] [URL] (inproceedings)

BibTeX:

@inproceedings{douady2001pg,
  author = {Stéphane Douady and Bruno Andreotti and Adrian Daerr and Pierre Cladé},
  title = {The four fronts and the two avalanches},
  booktitle = {Powders and Grains 2001},
  year = {2001},
  url = {http://books.google.com/books?id=7AgA_0wnHiMC&pg=PA443}
}

Daerr, A. (2000), "Dynamique des Avalanches", School: University of Paris VII Denis Diderot.

[Abstract] [BibTeX] [URL] [pdf] (phdthesis)

Abstract: résumé français
Un milieu granulaire peut rester au repos même avec une surface libre inclinée, et il ne se met spontanément en mouvement qu'au dessus d'un angle critique. Il apparaît alors un écoulement de surface dont l'amplitude et la dynamique sont régies par la mobilisation et le dépôt de grains à l'interface avec la phase statique. Malgré son importance pratique, la dynamique de cette transition demeure largement inconnue. Ce manuscrit présente une étude expérimentale de ce problème dans deux géométries d'écoulements granulaires différentes.
Dans la première expérience, l'équilibre d'une couche de sable déposée dynamiquement sur un plan rugueux est rendu métastable: après avoir augmenté l'inclinaison du plan, une perturbation locale déclenche une avalanche. La mesure du seuil de déclenchement montre que la transition entre équilibre statique et écoulement est sous-critique. La forme et la dynamique des avalanches résultent d'un échange permanent de matière avec la couche statique, mobilisant à l'avant et déposant des grains à l'arrière. De manière surprenante, une saturation de l'amplitude est observée, qui peut être attribuée à la présence du fond solide. Nous avons aussi mis en évidence l'existence de deux types d'avalanches, l'un où la couche n'est mobilisée qu'en aval du point de déclenchement et laissant une trace triangulaire, et l'autre où l'écoulement envahit tout le plan par un front de remontée. L'étude montre que des mécanismes de propagation différents interviennent dans ces deux cas.
La deuxième expérience consiste à étudier l'écoulement transitoire à la formation d'un talus. Nous avons observé l'influence prépondérante de la préparation sur l'écoulement. Deux effets sont mis en évidence, l'un associé à la densité et l'autre à la «texture» anisotrope acquise pendant le remplissage.
Dans la dernière partie, nous discutons de la validité des modèles existants pour décrire les avalanches sur le plan incliné. En guise de conclusion, nous développons un modèle continu décrivant la dynamique des écoulements granulaires de surface et prenant appui sur les résultats expérimentaux présentés.
english abstract
Granular matter can remain static with an inclined free surface up to a critical angle where it starts flowing spontaneously. The dynamics of the resulting surface flow is governed by the mobilization and deposition of grains. In spite of its practical importance, little is known about this transition. In this thesis, the problem is studied in two different geometries of granular flows.
In the first experiment, a layer of sand on a rough plane is tilted until its equilibrium becomes metastable, so that a local perturbation triggers an avalanche. The measurement of the perturbation threshold shows that the static-moving transition is sub-critical. The avalanche dynamics and shape result from a permanent mass exchange with the layer, mobilizing at the head front and depositing at the rear front. Surprisingly we observe a saturation of the amplitude, which can be related to the presence of the solid plane. We show the existence of two types of avalanches, a first which mobilizes the layer only downhill from the origin, leaving a triangular track, and a second which destabilizes the entire layer through an upward propagating front. The underlying mecanisms turn out to be different.
The second experiment on the transient flow leading to the formation of a pile shows the strong influence of the initial preparation. Two effects are studied, one associated with the packing density, and the other to an anisotropic «texture» acquired during preparation.
The last part presents some models describing the observed avalanches. As a conclusion, a continuous model for granular surface flows is developed on the basis of the reported results, by closing a system of conservation equations (Saint Venant's approach) with an evolving static/mobile boundary.

BibTeX:

@phdthesis{daerr2000these,
  author = {Adrian Daerr},
  title = {Dynamique des Avalanches},
  school = {University of Paris VII Denis Diderot},
  year = {2000},
  url = {http://tel.archives-ouvertes.fr/tel-00003998/fr/}
}

Quartier, L., Andreotti, B., Douady, S. & Daerr, A. (2000), "Dynamics of a grain on a sandpile model", Phys. Rev. E 62(6) , 8299-8307.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: The dynamics of a macroscopic grain rolling on an inclined plane composed of fixed identical grains is investigated both experimentally and theoretically. As real sand, the system exhibits an hysteretic transition between static and dynamical states: for angles smaller than _d, the roller always stops, for angles larger than _s, it spontaneously starts rolling down but for angles between _d and _s, it can be either at rest, or in motion with a constant velocity. It is shown that the limit velocity is given by the equilibrium between gravity driving and dissipation by the shocks. Moreover, the rough plane acts as a periodic potential trap whose width and depth decrease when the angle is increased: the static angle _s corresponds to the angle for which the trap disappears; the dynamical angle _d to that for which the limit velocity is sufficient to escape from the trap. Finally, a continuous description of the force globally acting on the grain is proposed, which preserves this hysteretic behaviour.

BibTeX:

@article{quartier2000tactac,
  author = {Laurent Quartier and Bruno Andreotti and Stéphane Douady and Adrian Daerr},
  title = {Dynamics of a grain on a sandpile model},
  journal = {Phys. Rev. E},
  year = {2000},
  volume = {62},
  number = {6},
  pages = {8299--8307},
  url = {http://publish.aps.org/abstract/PRE/v62/p8299},
  doi = {https://doi.org/10.1103/PhysRevE.62.8299}
}

Daerr, A. & Douady, S. (1999), "Sensitivity of Granular Surface Flows to Preparation", Europhys. Lett. 47(3) , 324-330.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: The transient surface granular flows occuring when a cylindrical pile of granular media supported by a disc crumbles to form a cone is investigated. The experiments show that this flow depends strongly on the way the granular material was prepared. We found a clear dependence on the density of the packing, leading from a deep bulk flow for low densities to an erosive surface flow for high ones. But the flow is also sensitive to possible asymmetries of the internal stucture of the material.

BibTeX:

@article{daerr1999el,
  author = {Adrian Daerr and Stéphane Douady},
  title = {Sensitivity of Granular Surface Flows to Preparation},
  journal = {Europhys. Lett.},
  year = {1999},
  volume = {47},
  number = {3},
  pages = {324--330},
  url = {http://iopscience.iop.org/0295-5075/47/3/324},
  doi = {https://doi.org/10.1209/epl/i1999-00392-7}
}

Daerr, A. & Douady, S. (1999), "Two Types of Avalanche Behaviour in Granular Media", Nature 399 , 241-243.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: The nature of the transition between static and flowing regimes in granular media [O. Reynolds, Philos. Mag. 20, 469 (1885); Bagnolds, R. A. Proc. R. Soc. London, Ser. A 295, 219-232 (1966)] provides a key to understanding their dynamics. When a pile of sand starts flowing, avalanches occur on its inclined free surface. Previously, studies [J. Rajchenbach, in Physics of dry granular media, Hermann et al (eds.) Kluwer, Dordrecht (1998)] of avalanches in granular media have considered the time series of avalaches in rotating drums [M. Caponieri et al, in Mobile particulate systems, Guazzelli and Oger (eds.) Kluwer, Dordrecht (1995)] or in piles continuously fed with material. Here we investigate single avalanches created by perturbing a static layer of glass beads on a rough inclined plane. We oberve two distinct types of avalanche, with evidence for different underlying physical mechanisms. Perturbing a thin layer results in an avalanche propagating downhill and also laterally owing to collisions between neighbouring grains, causing triangular tracks; perturbing a thick layer results in an avalanche front that also propagates upwards, grains located uphill progressively tumbling down because of loss of support. The perturbation threshold for triggering an avalanche is found to decrease to zero at a critical slope. Our results may improve understanding of naturally occurring avalanches on snow slopes [D. McClung, Avalanche Handbook (Mountaineers, Seattle, 1993)] where triangular tracks are also observed.

BibTeX:

@article{daerr1999n,
  author = {Adrian Daerr and Stéphane Douady},
  title = {Two Types of Avalanche Behaviour in Granular Media},
  journal = {Nature},
  year = {1999},
  volume = {399},
  pages = {241--243},
  url = {http://www.nature.com/nature/journal/v399/n6733/full/399241a0.html},
  doi = {https://doi.org/10.1038/20392}
}

Douady, S., Andreotti, B. & Daerr, A. (1999), "On Granular Surface Flow Equations", Eur. Phys. J. B 11 , 131-142.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: Conservation equations are written for surface flows (either fluid or granular). The particularity of granular surface flows is then pointed out, namely that the depth of the flowing layer is not a priori fixed, leading to open equations. It is shown how some hypothesis on the flowing layer allows to close the system of equations. A possible hypothesis, similar to that made for a fluid layer, but inspired from granular flow experiments, is presented. The force acting on the flowing layer is discussed. Averaging over the flowing depth, as in shallow water theory, then allows to transform these conservation laws into equations for the evolution of the profile of a granular pile. Apart from their interest for building models, these conservation laws can be used to measure experimentally the effective forces acting on a flowing layer.

BibTeX:

@article{douady1999,
  author = {Stéphane Douady and Bruno Andreotti and Adrian Daerr},
  title = {On Granular Surface Flow Equations},
  journal = {Eur. Phys. J. B},
  year = {1999},
  volume = {11},
  pages = {131--142},
  url = {http://www.springerlink.com/content/fy3bkdjnn50wraf0/},
  doi = {https://doi.org/10.1088/0953-8984/11/10A/008}
}

Douady, S. & Daerr, A. (1998), "Formation of Sandpiles, Avalanches on an Inclined Plane" in Physics of Dry Granular Media, Herrmann, H.J., Hovi, J.-P. & Luding, S. (editors), NATO ASI Series E 350 , 339-345.

[Abstract] [BibTeX] [pdf] (inproceedings)

Abstract: We present two simple experiments on granular flow. Though the notion of pile angle is common, it appears that there can be many different angles depending on the experiment [K. Wieghardt, Ann. Rev. Fluid Mech. (1975); Y. Grasselli and H. J. Herrmann, Physica A246 (1997) and this book]. Our first experiment also shows, in a conical geometry, that the dynamics of the flow leading to these angles depends strongly on the density of the pile and presumably on its internal structure, in contrast (surprisingly) to the final profile. Our second experiment studies the hysteresis between the static and dynamical angle in the case of a thin layer of beads on a rough inclined plane. Between these two angles, an avalanche is amplified while going down, and we observe that it grows lateraly leaving a triangular track, whose opening angle increases as the plane inclination approaches the static angle. Before reaching this limit, the avalanche starts to propagate upwards.

BibTeX:

@inproceedings{douady1998,
  author = {Stéphane Douady and Adrian Daerr},
  title = {Formation of Sandpiles, Avalanches on an Inclined Plane},
  booktitle = {Physics of Dry Granular Media},
  publisher = {Kluwer (Dordrecht, NL)},
  year = {1998},
  volume = {350},
  pages = {339--345},
  note = {Proceedings of the Summer 1997 Conference in Cargese, France}
}

Cadot, O., Couder, Y., Daerr, A., Douady, S. & Tsinober, A. (1997), "Energy Injection in Closed Turbulent Flows: Stirring Through Boundary Layers versus Inertial Stirring", Phys. Rev. E 56(1) , 427-433.

[Abstract] [BibTeX] [DOI] [URL] [pdf] (article)

Abstract: The mean rates of energy injection and energy dissipation in steady regimes of turbulence are measured in two types of flow confined in closed cells. The first flow is generated by counterrotating stirrers and the second is a Couette-Taylor flow. In these two experiments the solid surfaces that set the fluid into motion are at first smooth, so that everywhere the velocity of the stirrers is locally parallel to its surface. In all such cases the mean rate of energy dissipation does not satisfy the scaling expected from Kolmogorov theory. When blades perpendicular to the motion are added to the stirring surfaces the Kolmogorov scaling is observed in all the large range of Reynolds numbers (10^3<Re<10^6) investigated. However, with either smooth or rough stirring the measurements of the pressure fluctuations exhibit no Reynolds number dependence. This demonstrates that, though the smooth stirrers are less efficient in setting the fluid into motion, their efficiency is independent of the Reynolds number so that the Kolmogorov scaling characterizes, in all cases, the dissipation in the bulk of the fluid. The difference in the global behaviors corresponds to a different balance between the role of the different regions of the flow. With smooth stirrers the dissipation in the bulk is weaker than the Reynolds-number-dependent dissipation in the boundary layers. With rough (or inertial) stirrers the dissipation in the bulk dominates, hence the Kolmogorovian global behavior.

BibTeX:

@article{cadot1997,
  author = {Olivier Cadot and Yves Couder and Adrian Daerr and Stéphane Douady and Arkady Tsinober},
  title = {Energy Injection in Closed Turbulent Flows: Stirring Through Boundary Layers versus Inertial Stirring},
  journal = {Phys. Rev. E},
  year = {1997},
  volume = {56},
  number = {1},
  pages = {427--433},
  url = {http://pre.aps.org/abstract/PRE/v56/i1/p427_1},
  doi = {https://doi.org/10.1103/PhysRevE.56.427}
}

Last modified: 2020-11-21 20:30:00 +0100