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Karnal P, Wang Y, Jha A, Gryska S, Barrios C, Frechette J. Interface Stabilization in Adhesion Caused by Elastohydrodynamic Deformation. PHYSICAL REVIEW LETTERS 2023; 131:138201. [PMID: 37831986 DOI: 10.1103/physrevlett.131.138201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/15/2023] [Accepted: 08/22/2023] [Indexed: 10/15/2023]
Abstract
Interfacial instabilities are common phenomena observed during adhesion measurements involving viscoelastic polymers or fluids. Typical probe-tack adhesion measurements with soft adhesives are conducted with rigid probes. However, in many settings, such as for medical applications, adhesives make and break contact from soft surfaces such as skin. Here we study how detachment from soft probes alters the debonding mechanism of a model viscoelastic polymer film. We demonstrate that detachment from a soft probe suppresses Saffman-Taylor instabilities commonly encountered in adhesion. We suggest the mechanism for interface stabilization is elastohydrodynamic deformation of the probe and propose a scaling for the onset of stabilization.
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Affiliation(s)
- Preetika Karnal
- Department of Chemical and Biomolecular Engineering, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218, USA
- Department of Chemical and Biomolecular Engineering, Lehigh University, 124 East Morton Street, Building 205, Bethlehem, Pennsylvania 18015, USA
| | - Yumo Wang
- College of Mechanical and Transportation Engineering, China University of Petroleum, Beijing 102249, China
| | - Anushka Jha
- Department of Chemical and Biomolecular Engineering, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218, USA
| | - Stefan Gryska
- 3M Center, 3M Company, Building 201-4N-01, St. Paul, Minnesota 55144-1000, USA
| | - Carlos Barrios
- Adaptive3D, 608 Development Drive, Plano, Texas 75074, USA
| | - Joelle Frechette
- Department of Chemical and Biomolecular Engineering, University of California Berkeley, Berkeley, California 94720, USA
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Pérez-Muñuzuri V. Stabilization of periodically forced Hele-Shaw flows by means of a nonmonotonic viscosity profile. Phys Rev E 2022; 105:065104. [PMID: 35854486 DOI: 10.1103/physreve.105.065104] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/01/2022] [Accepted: 05/24/2022] [Indexed: 06/15/2023]
Abstract
The onset of viscous fingering in the presence of a viscosity profile is investigated theoretically for two immiscible fluids undergoing a time-dependent injection. Here, we show that the presence of a positive viscosity gradient at the interface between both fluids stabilizes the interface facilitating the spread of the perturbation. This effect is much more pronounced in the case of sinusoidal injection flows. The influence of the viscosity gradient on the dispersion relation is analyzed. Numerical simulations of the Navier-Stokes equation confirm the linear stability analysis.
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Affiliation(s)
- Vicente Pérez-Muñuzuri
- CRETUS, Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela, E-15782 Santiago de Compostela, Spain
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Arora S, Louhichi A, Vlassopoulos D, Ligoure C, Ramos L. Instabilities in freely expanding sheets of associating viscoelastic fluids. SOFT MATTER 2021; 17:10935-10945. [PMID: 34811560 DOI: 10.1039/d1sm01075a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
We use the impact of drops on a small solid target as a tool to investigate the behavior of viscoelastic fluids under extreme deformation rates. We study two classes of transient networks: semidilute solutions of supramolecular polymers and suspensions of spherical oil droplets reversibly linked by polymers. The two types of samples display very similar linear viscoelastic properties, which can be described with a Maxwell fluid model, but contrasting nonlinear properties due to different network structures. Upon impact, the weakly viscoelastic samples exhibit a behavior qualitatively similar to that of Newtonian fluids: a smooth and regular sheet forms, expands, and then retracts. By contrast, for highly viscoelastic fluids, the thickness of the sheet is found to be very irregular, leading to instabilities and eventually to the formation of holes. We find that the rheological properties of the material rule the onset of instabilities. We first provide a simple image analysis of the expanding sheets to determine the onset of instabilities. We then demonstrate that the Deborah number related to the shortest relaxation time associated with the sample structure following a high shear is the relevant parameter that controls the heterogeneities in the thickness of the sheet, eventually leading to the formation of holes. When the sheet tears-up, data suggest by contrast that the opening dynamics depends also on the expansion rate of the sheet.
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Affiliation(s)
- Srishti Arora
- Laboratoire Charles Coulomb (L2C), Univ. Montpellier, CNRS, Montpellier, France.
| | - Ameur Louhichi
- Laboratoire Charles Coulomb (L2C), Univ. Montpellier, CNRS, Montpellier, France.
- Institute of Electronic Structure and Laser, FORTH, Heraklion 70013, Crete, Greece and Department of Materials Science and Technology, University of Crete, Heraklion, 70013, Crete, Greece
| | - Dimitris Vlassopoulos
- Institute of Electronic Structure and Laser, FORTH, Heraklion 70013, Crete, Greece and Department of Materials Science and Technology, University of Crete, Heraklion, 70013, Crete, Greece
| | - Christian Ligoure
- Laboratoire Charles Coulomb (L2C), Univ. Montpellier, CNRS, Montpellier, France.
| | - Laurence Ramos
- Laboratoire Charles Coulomb (L2C), Univ. Montpellier, CNRS, Montpellier, France.
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Jangir P, Mohan R, Chokshi P. Linear stability analysis of miscible displacement by nanofluid with concentration-dependent diffusivity. Chem Eng Sci 2021. [DOI: 10.1016/j.ces.2021.116609] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Divoux T, Shukla A, Marsit B, Kaloga Y, Bischofberger I. Criterion for Fingering Instabilities in Colloidal Gels. PHYSICAL REVIEW LETTERS 2020; 124:248006. [PMID: 32639838 DOI: 10.1103/physrevlett.124.248006] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/16/2020] [Accepted: 05/15/2020] [Indexed: 06/11/2023]
Abstract
We sandwich a colloidal gel between two parallel plates and induce a radial flow by lifting the upper plate at a constant velocity. Two distinct scenarios result from such a tensile test: (i) stable flows during which the gel undergoes a tensile deformation without yielding, and (ii) unstable flows characterized by the radial growth of air fingers into the gel. We show that the unstable regime occurs beyond a critical energy input, independent of the gel's macroscopic yield stress. This implies a local fluidization of the gel at the tip of the growing fingers and results in the most unstable wavelength of the patterns exhibiting the characteristic scalings of the classical viscous fingering instability. Our work provides a quantitative criterion for the onset of fingering in colloidal gels based on a local shear-induced yielding in agreement with the delayed failure framework.
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Affiliation(s)
- Thibaut Divoux
- MultiScale Material Science for Energy and Environment, UMI 3466, CNRS-MIT, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
- Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Asheesh Shukla
- MultiScale Material Science for Energy and Environment, UMI 3466, CNRS-MIT, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
| | - Badis Marsit
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Yacouba Kaloga
- MultiScale Material Science for Energy and Environment, UMI 3466, CNRS-MIT, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
| | - Irmgard Bischofberger
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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Checa AG, Salas C, Rodríguez-Navarro AB, Grenier C, Lagos NA. Articulation and growth of skeletal elements in balanid barnacles (Balanidae, Balanomorpha, Cirripedia). ROYAL SOCIETY OPEN SCIENCE 2019; 6:190458. [PMID: 31598290 PMCID: PMC6774972 DOI: 10.1098/rsos.190458] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/12/2019] [Accepted: 08/08/2019] [Indexed: 06/10/2023]
Abstract
The morphology and ultrastructure of the shells of two balanid species have been examined, paying special attention to the three types of boundaries between plates: (i) radii-parietes, (ii) alae-sheaths, and (iii) parietes-basal plate. At the carinal surfaces of the radii and at the rostral surfaces of the alae, there are series of crenulations with dendritic edges. The crenulations of the radius margins interlock with less prominent features of the opposing paries margins, whereas the surfaces of the longitudinal abutments opposing the ala margins are particularly smooth. The primary septa of the parietes also develop dendritic edges, which abut the internal surfaces of the primary tubes of the base plates. In all cases, there are chitino-proteinaceous organic membranes between the abutting structures. Our observations indicate that the very edges of the crenulations and the primary septa are permanently in contact with the organic membranes. We conclude that, when a new growth increment is going to be produced, the edges of both the crenulations and the primary septa pull the viscoelastic organic membranes locally, with the consequent formation of viscous fingers. For the abutting edges to grow, calcium carbonate must diffuse across the organic membranes, but it is not clear how growth of the organic membranes themselves is accomplished, in the absence of any cellular tissue.
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Affiliation(s)
- Antonio G. Checa
- Departamento de Estratigrafía y Paleontología, Universidad de Granada, 18071 Granada, Spain
- Instituto Andaluz de Ciencias de la Tierra, CSIC-Universidad de Granada, 18100 Armilla, Spain
| | - Carmen Salas
- Departamento de Biología Animal, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
| | | | - Christian Grenier
- Departamento de Estratigrafía y Paleontología, Universidad de Granada, 18071 Granada, Spain
| | - Nelson A. Lagos
- Centro de Investigación e Innovación para el Cambio Climático, Universidad Santo Tomás, Santiago, Chile
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Lattice Boltzmann Simulation of Immiscible Displacement in Porous Media: Viscous Fingering in a Shear-Thinning Fluid. Transp Porous Media 2018. [DOI: 10.1007/s11242-018-1162-7] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Biggins JS, Mahadevan L. Meniscus instabilities in thin elastic layers. SOFT MATTER 2018; 14:7680-7689. [PMID: 30229802 DOI: 10.1039/c8sm01033a] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We consider meniscus instabilities in thin elastic layers perfectly adhered to, and confined between, much stiffer bodies. When the free boundary associated with the meniscus of the elastic layer recedes into the layer, for example by pulling the stiffer bodies apart or injecting air between them, then the meniscus will eventually undergo a purely elastic instability in which fingers of air invade the layer. Here we show that the form of this instability is identical in a range of different loading conditions, provided only that the thickness of the meniscus, a, is small compared to the in-plane dimensions and to two emergent in-plane length scales that arise if the substrate is soft or if the layer is compressible. In all such situations, we predict that the instability will occur when the meniscus has receded by approximately 1.27a, and that the instability will have wavelength λ ≈ 2.75a. We illustrate this by also calculating the threshold for fingering in a thin wedge of elastic material bonded to two rigid plates that are pried apart, and the threshold for fingering when a flexible plate is peeled from an elastic layer that glues the plate to a rigid substrate.
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Affiliation(s)
- John S Biggins
- Department of Engineering, University of Cambridge, Trumpington St., Cambridge CB2 1PZ, UK.
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Foyart G, Ligoure C, Mora S, Ramos L. Rearrangement Zone around a Crack Tip in a Double Self-Assembled Transient Network. ACS Macro Lett 2016; 5:1080-1083. [PMID: 35658184 DOI: 10.1021/acsmacrolett.6b00516] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We investigate the nucleation and propagation of cracks in self-assembled viscoelastic fluids, which are made of surfactant micelles reversibly linked by telechelic polymers. The morphology of the micelles can be continuously tuned, from spherical to rodlike to wormlike, thus producing transient double networks when the micelles are sufficiently long and entangled and transient single networks otherwise. For a single network, we show that cracks nucleate when the sample deformation rate involved is comparable to the relaxation time scale of the network. For a double network, by contrast, significant rearrangements of the micelles occur as a crack nucleates and propagates. We show that birefringence develops at the crack tip over a finite length, ξ, which corresponds to the length scale over which micelle alignment occurs. We find that ξ is larger for slower cracks, suggesting an increase of ductility.
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Affiliation(s)
- Guillaume Foyart
- Laboratoire
Charles Coulomb UMR 5221, CNRS, Université de Montpellier, F-34095 Montpellier, France
| | - Christian Ligoure
- Laboratoire
Charles Coulomb UMR 5221, CNRS, Université de Montpellier, F-34095 Montpellier, France
| | - Serge Mora
- Laboratoire
de Mécanique et de Génie Civil, UMR 5508, Université de Montpellier and CNRS, 163 Rue Auguste Broussonnet, F-34090 Montpellier, France
| | - Laurence Ramos
- Laboratoire
Charles Coulomb UMR 5221, CNRS, Université de Montpellier, F-34095 Montpellier, France
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Saintyves B, Dauchot O, Bouchaud E. Bulk elastic fingering instability in Hele-Shaw cells. PHYSICAL REVIEW LETTERS 2013; 111:047801. [PMID: 23931406 DOI: 10.1103/physrevlett.111.047801] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2012] [Revised: 04/26/2013] [Indexed: 06/02/2023]
Abstract
We demonstrate experimentally the existence of a purely elastic, nonviscous fingering instability which arises when air penetrates into an elastomer confined in a Hele-Shaw cell. Fingers appear sequentially and propagate within the bulk of the material as soon as a critical strain, independent of the elastic modulus, is exceeded. Key elements in the driving force of the instability are the confinement of the gel and its adhesion to the plates of the cell, which result in a considerable expense of elastic energy during the growth of the air bubble.
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Affiliation(s)
- B Saintyves
- CEA-Saclay, IRAMIS, SPEC, F-91191 Gif-sur-Yvette Cedex, France and PSL, 75231 Paris Cedex 05, France
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