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Julien E, Maillet B, Tocquer L, Aime S, Coussot P. Dynamic NMR Relaxometry as a Straightforward Measurement of Concentration Variations in Colloidal Gels. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2024; 40:26975-26987. [PMID: 39663825 DOI: 10.1021/acs.langmuir.4c03404] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2024]
Abstract
We show that dynamic NMR relaxometry allows one to probe the particle size or the concentration evolution over time in homogeneous colloidal suspensions or the concentration in different regions of heterogeneous suspensions, up to large volume fractions. We first demonstrate that the NMR transverse relaxation time is independent of the gel structure at the particle scale so that it only slightly varies during the gelation of a colloidal suspension. The evolution over time of the NMR transverse relaxation time during gel drying and its analysis with the help of the fast-exchange assumption extended to a partially saturated medium then allowed us to identify three successive regimes: homogeneous shrinkage, desaturation, and molecular film regime. A detailed analysis of the NMR relaxation characteristics provides information on the distribution of the fluid along the solid structure at the particle scale in the two last (partially desaturated) regimes. This in particular shows that, thanks to such analysis of their temporal evolution, such simple, nondestructive, time-resolved, global measurements can be used to follow precisely the solid volume fraction of the system and its state of saturation up to full drying, independently of the exact solid structure.
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Affiliation(s)
- Elisa Julien
- Laboratoire Navier (Ecole Nationale des Ponts et Chaussées, Univ. Gustave Eiffel, CNRS), Champs sur Marne 77420, France
- Experimental Soft Condensed Matter Group, School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, United States
| | - Benjamin Maillet
- Laboratoire Navier (Ecole Nationale des Ponts et Chaussées, Univ. Gustave Eiffel, CNRS), Champs sur Marne 77420, France
| | - Laurent Tocquer
- Laboratoire Navier (Ecole Nationale des Ponts et Chaussées, Univ. Gustave Eiffel, CNRS), Champs sur Marne 77420, France
| | - Stefano Aime
- Laboratoire C3M (ESPCI, CNRS), ESPCI, Paris 75005, France
| | - Philippe Coussot
- Laboratoire Navier (Ecole Nationale des Ponts et Chaussées, Univ. Gustave Eiffel, CNRS), Champs sur Marne 77420, France
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Zou Y, Yan L, Maillet B, Sidi-Boulenouar R, Brochard L, Coussot P. Critical Role of Boundary Conditions in Sorption Kinetics Measurements. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2023; 39:18866-18879. [PMID: 38088832 DOI: 10.1021/acs.langmuir.3c02729] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/27/2023]
Abstract
In order to characterize the hygroscopic properties of cellulose-based materials, which can absorb large amounts of water from vapor in ambient air, or the adsorption capacity of pollutants or molecules in various porous materials, it is common to rely on sorption-desorption dynamic tests. This consists of observing the mass variation over time when the sample is placed in contact with a fluid containing the elements to be absorbed or adsorbed. Here, we focus on the case of a hygroscopic material in contact with air at a relative humidity (RH) differing from that at which it has been prepared. We show that the vapor mass flux going out of the sample follows from the solution of a vapor convection-diffusion problem along the surface and is proportional to the difference between the RH of the air flux and that along the surface with a multiplicative factor (δ) depending only on the characteristics of the air flux and the geometry of the system, including the surface roughness. This factor may be determined from independent measurements in which the RH along the surface is known while keeping all other variables constant. Then we show that the apparent sorption or desorption kinetics critically depend on the competition between boundary conditions and transport through the material. For sufficiently low air flux intensities or small sample thicknesses, the moisture distribution in the sample remains uniform and evolves toward the equilibrium with a kinetics depending on the value of δ and the material thickness. For sufficiently high air flux intensities or large sample thicknesses, the moisture distribution is highly inhomogeneous, and the kinetics reflect the ability of water transport by diffusion through the material. We illustrate and validate this theoretical description on the basis of magnetic resonance imaging experiments on drying cellulose fiber stacks.
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Affiliation(s)
- Yuliang Zou
- Laboratoire Navier (Ecole des Ponts Paris Tech-Univ Gustave Eiffel-CNRS), Champs-sur-Marne 77420, France
| | - Luoyi Yan
- Laboratoire Navier (Ecole des Ponts Paris Tech-Univ Gustave Eiffel-CNRS), Champs-sur-Marne 77420, France
| | - Benjamin Maillet
- Laboratoire Navier (Ecole des Ponts Paris Tech-Univ Gustave Eiffel-CNRS), Champs-sur-Marne 77420, France
| | - Rahima Sidi-Boulenouar
- Laboratoire Navier (Ecole des Ponts Paris Tech-Univ Gustave Eiffel-CNRS), Champs-sur-Marne 77420, France
| | - Laurent Brochard
- Laboratoire Navier (Ecole des Ponts Paris Tech-Univ Gustave Eiffel-CNRS), Champs-sur-Marne 77420, France
| | - Philippe Coussot
- Laboratoire Navier (Ecole des Ponts Paris Tech-Univ Gustave Eiffel-CNRS), Champs-sur-Marne 77420, France
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Kano S, Mekaru H. Liquid-dependent impedance induced by vapor condensation and percolation in nanoparticle film. NANOTECHNOLOGY 2021; 33:105702. [PMID: 34823238 DOI: 10.1088/1361-6528/ac3d63] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/27/2021] [Accepted: 11/25/2021] [Indexed: 06/13/2023]
Abstract
A liquid-dependent impedance is observed by vapor condensation and percolation in the void space between nanoparticles. Under the Laplace pressure, vapor is effectively condensed into liquid to fill the nanoscale voids in an as-deposited nanoparticle film. Specifically, the transient impedance of the nanoparticle film in organic vapor is dependent on the vapor pressure and the conductivity of the condensed liquid. The response follows a power law that can be explained by the classical percolation theory. The condensed vapor gradually percolates into the void space among nanoparticles. A schematic is proposed to describe the vapor condensation and percolation dynamics among the nanoparticles. These findings offer insights into the behavior of vapor adsorbates in nanomaterial assemblies that contain void space.
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Affiliation(s)
- Shinya Kano
- Human Augmentation Research Center, National Institute of Advanced Industrial Science and Technology (AIST), Kashiwa 270-0882, Japan
- Sensing System Research Center, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba 305-8564, Japan
| | - Harutaka Mekaru
- Human Augmentation Research Center, National Institute of Advanced Industrial Science and Technology (AIST), Kashiwa 270-0882, Japan
- Sensing System Research Center, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba 305-8564, Japan
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Hristova M, Lesov I, Tcholakova S, Goletto V, Denkov N. From Pickering foams to porous carbonate materials: crack-free structuring in drying ceramics. Colloids Surf A Physicochem Eng Asp 2018. [DOI: 10.1016/j.colsurfa.2018.05.025] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Thiery J, Keita E, Rodts S, Courtier Murias D, Kodger T, Pegoraro A, Coussot P. Drying kinetics of deformable and cracking nano-porous gels. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2016; 39:117. [PMID: 27921169 DOI: 10.1140/epje/i2016-16117-3] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/10/2016] [Accepted: 10/27/2016] [Indexed: 06/06/2023]
Abstract
The desiccation of porous materials encompasses a wide range of technological and industrial processes and is acutely sensitive to the hierarchical structure of the porous materials resulting in complex dynamics which are challenging to unravel. Macroscopic observations of the surface and geometry of model colloidal gels during desiccation under controlled air flow highlight the role of crack formation in drying. The density of cracks and their rate of appearance depend on the initial solid fraction of the gels and their adherence to the substrate. While under certain conditions cracking leads to an increase of the drying rate, in other cases cracking allows for its conservation over an extended period of the drying process. Nevertheless, as long as the sample is saturated with water, each piece within the sample shrinks isotropically as if it were an independent drying system. By simulating the airflow around the sample and inside the crack cavities, we show the existence of a perturbation in the air velocity in the vicinity of the crack cavity whose scale depends on the aspect ratio (depth/width) of the latter. On this basis, we propose a simple model which predicts the observed drying rate variations encountered while the sample cracks; and further enables to simulate the desiccation for a designated crack density.
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Affiliation(s)
- J Thiery
- Université Paris-Est, Laboratoire Navier (ENCP-CNRS-IFSTTAR, 77420, Champs sur Marne, France.
- Experimental Soft Matter Group, Harvard University, 02138, Cambridge, MA, USA.
| | - E Keita
- Université Paris-Est, Laboratoire Navier (ENCP-CNRS-IFSTTAR, 77420, Champs sur Marne, France
| | - S Rodts
- Université Paris-Est, Laboratoire Navier (ENCP-CNRS-IFSTTAR, 77420, Champs sur Marne, France
| | - D Courtier Murias
- Université Paris-Est, Laboratoire Navier (ENCP-CNRS-IFSTTAR, 77420, Champs sur Marne, France
| | - T Kodger
- Experimental Soft Matter Group, Harvard University, 02138, Cambridge, MA, USA
| | - A Pegoraro
- Experimental Soft Matter Group, Harvard University, 02138, Cambridge, MA, USA
| | - P Coussot
- Université Paris-Est, Laboratoire Navier (ENCP-CNRS-IFSTTAR, 77420, Champs sur Marne, France
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Boulogne F, Kong YL, Nunes JK, Stone HA. Effect of the Polydispersity of a Colloidal Drop on Drying Induced Stress as Measured by the Buckling of a Floating Sheet. PHYSICAL REVIEW LETTERS 2016; 116:238001. [PMID: 27341259 DOI: 10.1103/physrevlett.116.238001] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/19/2016] [Indexed: 06/06/2023]
Abstract
We study the stress developed during the drying of a colloidal drop of silica nanoparticles. In particular, we use the wrinkling instability of a thin floating sheet to measure the net stress applied by the deposit on the substrate and we focus on the effect of the particle polydispersity. In the case of a bidisperse suspension, we show that a small number of large particles substantially decreases the expected stress, which we interpret as the formation of lower hydrodynamic resistance paths in the porous material. As colloidal suspensions are usually polydisperse, we show for different average particle sizes that the stress is effectively dominated by the larger particles of the distribution and not by the average particle size.
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Affiliation(s)
- François Boulogne
- Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
| | - Yong Lin Kong
- Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
| | - Janine K Nunes
- Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
| | - Howard A Stone
- Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
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Shokri N, Zhou P, Keshmiri A. Patterns of Desiccation Cracks in Saline Bentonite Layers. Transp Porous Media 2015. [DOI: 10.1007/s11242-015-0521-x] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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