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Safaripour S, Anand G, Snoeyink C. Thermodynamic Analysis of Capillary and Electric Field Effects on Liquid-Vapor Equilibrium: A Study on the Water-Ethanol Mixture. J Phys Chem B 2023; 127:9181-9190. [PMID: 37844296 DOI: 10.1021/acs.jpcb.3c05345] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2023]
Abstract
This study investigates phase equilibrium manipulation in nonideal mixtures through a combined capillary and external electric field approach. Utilizing thermodynamic principles, an expression is established for estimating the equilibrium liquid mole fraction in a confined system subjected to a localized electric field within a capillary that is filled with a liquid phase in equilibrium with its vapor counterpart. Applied to a water-ethanol system, the model suggests large shifts in the equilibrium liquid mole fraction of water due to the electric field and capillary effects. These findings reveal that while the capillary's influence remains negligible for radii exceeding 10 nm, capillaries of smaller dimensions, when exposed to electric fields of around 300 MV/m, can amplify the equilibrium liquid water mole fraction by up to 55%. This suggests the potential for phase equilibrium control through larger capillaries and lower electric fields, while intriguing complexities arise at very small radii.
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Affiliation(s)
- Samira Safaripour
- Department of Mechanical and Aerospace Engineering, University at Buffalo, Buffalo, New York 14260, United States
| | - Gaurav Anand
- Department of Mechanical and Aerospace Engineering, University at Buffalo, Buffalo, New York 14260, United States
| | - Craig Snoeyink
- Department of Mechanical and Aerospace Engineering, University at Buffalo, Buffalo, New York 14260, United States
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Zhang D, Campbell JM, Eriksen JA, Flekkøy EG, Måløy KJ, MacMinn CW, Sandnes B. Frictional fluid instabilities shaped by viscous forces. Nat Commun 2023; 14:3044. [PMID: 37236971 DOI: 10.1038/s41467-023-38648-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2022] [Accepted: 05/09/2023] [Indexed: 05/28/2023] Open
Abstract
Multiphase flows involving granular materials are complex and prone to pattern formation caused by competing mechanical and hydrodynamic interactions. Here we study the interplay between granular bulldozing and the stabilising effect of viscous pressure gradients in the invading fluid. Injection of aqueous solutions into layers of dry, hydrophobic grains represent a viscously stable scenario where we observe a transition from growth of a single frictional finger to simultaneous growth of multiple fingers as viscous forces are increased. The pattern is made more compact by the internal viscous pressure gradient, ultimately resulting in a fully stabilised front of frictional fingers advancing as a radial spoke pattern.
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Affiliation(s)
- Dawang Zhang
- Department of Chemical Engineering, Swansea University, Swansea, SA1 8EN, UK
| | - James M Campbell
- Department of Chemical Engineering, Swansea University, Swansea, SA1 8EN, UK
- PoreLab, Njord Center, Department of Physics, University of Oslo, N-0371, Oslo, Norway
| | - Jon A Eriksen
- PoreLab, Njord Center, Department of Physics, University of Oslo, N-0371, Oslo, Norway
| | - Eirik G Flekkøy
- PoreLab, Njord Center, Department of Physics, University of Oslo, N-0371, Oslo, Norway
- PoreLab, Department of Chemistry, Norwegian University of Science and Technology, N-7491, Trondheim, Norway
| | - Knut Jørgen Måløy
- PoreLab, Njord Center, Department of Physics, University of Oslo, N-0371, Oslo, Norway
- PoreLab, Department of Geoscience and Petroleum, Norwegian University of Science and Technology, N-7491, Trondheim, Norway
| | | | - Bjørnar Sandnes
- Department of Chemical Engineering, Swansea University, Swansea, SA1 8EN, UK.
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Oger L, Delannay R, Le Gonidec Y. In-depth influence of the top surface fabrication of a bead packing. Phys Rev E 2023; 107:054906. [PMID: 37329011 DOI: 10.1103/physreve.107.054906] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/02/2022] [Accepted: 05/05/2023] [Indexed: 06/18/2023]
Abstract
Packings of beads confined in slowly tilted containers with a top free surface are commonly used in laboratory experiments to model natural grain avalanches and better understand and predict critical events from optical measurements of the surface activity. To that aim, after reproducible packing preparations, the present paper focuses on the effects of the surface fabrication, which can be scraped or soft leveled, on both the avalanche stability angle and the dynamic of precursory events for glass beads of 2-mm diameter. A depth effect of a scraping operation is highlighted by considering different packing heights and inclination speeds.
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Affiliation(s)
- Luc Oger
- Univ. Rennes, CNRS, IPR [(Institut de Physique de Rennes)]-UMR 6251, F-35000 Rennes, France
| | - Renaud Delannay
- Univ. Rennes, CNRS, IPR [(Institut de Physique de Rennes)]-UMR 6251, F-35000 Rennes, France
| | - Yves Le Gonidec
- Univ. Rennes, CNRS, Géosciences Rennes-UMR 6118, F-35000 Rennes, France
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Preud'homme N, Lumay G, Vandewalle N, Opsomer E. Numerical measurement of flow fluctuations to quantify cohesion in granular materials. Phys Rev E 2022; 104:064901. [PMID: 35030871 DOI: 10.1103/physreve.104.064901] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/20/2021] [Accepted: 11/18/2021] [Indexed: 11/07/2022]
Abstract
The flow of cohesive granular materials in a two-dimensional rotating drum is investigated using discrete element method simulations. Contacts between particles are modeled based on the widely used model of the spring-dashpot and Coulomb's friction law. A simplified model of intermediate range attraction between grains (i.e., cohesion) has been used in order to reproduce the flow of electrostatic or wet granular materials. Granular flow is generated by means of a rotating drum and the effect of the rotation speed, the friction between the grains, and the cohesion are studied. Significantly different flow behaviors are observed when cohesion is added. Plug flow appears in the rotating drum for a wide range of rotation speeds when cohesion becomes sufficiently strong. We propose a measurement of surface flow fluctuations to quantify the strength of cohesion, inspired by the previous observation of plug flow. Then, we make use of the results to include the effect of cohesion into a theoretical flow model. A good agreement is obtained between theory and numerical measurements of the granular bed's dynamic angle of repose, which allows us to propose a method for estimating the microscopic cohesion between grains based on the measurement of surface fluctuations.
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Affiliation(s)
| | | | | | - Eric Opsomer
- GRASP, University of Liège, B-4000 Liège, Belgium
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Kocharyan H, Karanjgaokar N. Wave propagation through submerged granular media over a wide range of fluid viscosities. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2020.11.020] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Hagen T, Luding S, van der Meer D, Magnanimo V, Jarray A. Liquid migration in flowing granular materials. EPJ WEB OF CONFERENCES 2021. [DOI: 10.1051/epjconf/202124909001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In partially wet granular beds, liquid migrates between particles due to collisions and contacts. This, in turn, influences the flow behaviour of the granular bed. We investigate liquid redistribution in moving monodisperse particles in a rotating drum using Discrete Element Method (DEM) simulations. For weak capillary forces, liquid re-distribution, induced by the continuous flow of particles, leads to concentration of the liquid in the core of the bed, where the flow is quasi-static. High capillary forces reduce the surface flow speed and granular temperature. This decreases liquid bridges rupturing in the flowing layer, allowing the liquid to remain in the outer region of the bed.
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Caparco AA, Wang M, Das A, Bommarius AS, Champion JA. Tuning the Morphology of Protein-Inorganic Calcium-Phosphate Supraparticles via Directed Assembly. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2020; 36:15296-15308. [PMID: 33301323 DOI: 10.1021/acs.langmuir.0c02735] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Understanding the phenomena that govern complex interfacial and directed assemblies is essential for both control and scale-up of particle syntheses. The present work describes an effort to understand, control, and tune the formation of protein-inorganic calcium-phosphate supraparticles that are produced at an oscillating air-water interface created by end-over-end rotation of the synthesis solution. Supraparticles were synthesized under an array of different conditions that varied reagent concentration, the presence of additives, tube size, and rotational speed. Paired with a fluid mechanics model of the end-over-end rotation and dimensional analysis, the sensitivity of the synthesis to physicochemical and mechanical parameters was determined. Surface tension and bubble formation were found to be important criteria for changing the size distribution of supraparticles. Thresholds for the values of the Froude, Iribarren, and rotational Reynolds numbers were identified for narrowing particle size distribution. These results both guide the specific protein-inorganic supraparticle synthesis described here and inform future manipulation and scale-up of other complex interfacial colloidal assemblies.
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Affiliation(s)
- Adam A Caparco
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia
| | - Melanee Wang
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia
| | - Ankita Das
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia
| | - Andreas S Bommarius
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia
- Petit Institute for Bioengineering and Bioscience, Georgia Institute of Technology, Atlanta, Georgia
| | - Julie A Champion
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia
- Petit Institute for Bioengineering and Bioscience, Georgia Institute of Technology, Atlanta, Georgia
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Cohesion-driven mixing and segregation of dry granular media. Sci Rep 2019; 9:13480. [PMID: 31530824 PMCID: PMC6748908 DOI: 10.1038/s41598-019-49451-z] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2019] [Accepted: 08/22/2019] [Indexed: 11/08/2022] Open
Abstract
Granular segregation is a common, yet still puzzling, phenomenon encountered in many natural and engineering processes. Here, we experimentally investigate the effect of particles cohesion on segregation in dry monodisperse and bidisperse systems using a rotating drum mixer. Chemical silanization, glass surface functionalization via a Silane coupling agent, is used to produce cohesive dry glass particles. The cohesive force between the particles is controlled by varying the reaction duration of the silanization process, and is measured using an in-house device specifically designed for this study. The effects of the cohesive force on flow and segregation are then explored and discussed. For monosized particulate systems, while cohesionless particles perfectly mix when tumbled, highly cohesive particles segregate. For bidisperse mixtures of particles, an adequate cohesion-tuning reduces segregation and enhances mixing. Based on these results, a simple scheme is proposed to describe the system’s mixing behaviour with important implications for the control of segregation or mixing in particulate industrial processes.
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