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Tiani R, Rongy L. Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2023; 381:20220080. [PMID: 36842981 DOI: 10.1098/rsta.2022.0080] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/04/2022] [Accepted: 11/14/2022] [Indexed: 06/18/2023]
Abstract
When bimolecular fronts form in solutions, their dynamics is likely to be affected by chemically driven convection such as buoyancy- and Marangoni-driven flows. It is known that front dynamics in the presence of buoyancy-driven convection can be predicted solely on the basis of the one-dimensional reaction-diffusion concentration profiles but that those predictions fail for Marangoni-driven convection. With a two-dimensional reaction-diffusion-Marangoni convection model, we analyze here convective effects on the time scalings of the front properties, together with the influence of reaction reversibility and of the ratio of initial reactants' concentrations on the front dynamics. The effect of buoyancy forces is here neglected by assuming the reactive system to be in zero-gravity condition and/or the solution density to be spatially homogenous. This article is part of the theme issue 'New trends in pattern formation and nonlinear dynamics of extended systems'.
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Affiliation(s)
- R Tiani
- Nonlinear Physical Chemistry Unit, Université libre de Bruxelles (ULB), Faculté des Sciences, CP231, 1050 Brussels, Belgium
| | - L Rongy
- Nonlinear Physical Chemistry Unit, Université libre de Bruxelles (ULB), Faculté des Sciences, CP231, 1050 Brussels, Belgium
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Diffusion in liquid mixtures. NPJ Microgravity 2023; 9:1. [PMID: 36646718 PMCID: PMC9842720 DOI: 10.1038/s41526-022-00246-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2022] [Accepted: 12/19/2022] [Indexed: 01/18/2023] Open
Abstract
The understanding of transport and mixing in fluids in the presence and in the absence of external fields and reactions represents a challenging topic of strategic relevance for space exploration. Indeed, mixing and transport of components in a fluid are especially important during long-term space missions where fuels, food and other materials, needed for the sustainability of long space travels, must be processed under microgravity conditions. So far, the processes of transport and mixing have been investigated mainly at the macroscopic and microscopic scale. Their investigation at the mesoscopic scale is becoming increasingly important for the understanding of mass transfer in confined systems, such as porous media, biological systems and microfluidic systems. Microgravity conditions will provide the opportunity to analyze the effect of external fields and reactions on optimizing mixing and transport in the absence of the convective flows induced by buoyancy on Earth. This would be of great practical applicative relevance to handle complex fluids under microgravity conditions for the processing of materials in space.
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Gao Y, Paul JE, Chen M, Hong L, Chamorro LP, Sottos NR, Geubelle PH. Buoyancy-Induced Convection Driven by Frontal Polymerization. PHYSICAL REVIEW LETTERS 2023; 130:028101. [PMID: 36706389 DOI: 10.1103/physrevlett.130.028101] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/28/2022] [Revised: 10/17/2022] [Accepted: 12/05/2022] [Indexed: 06/18/2023]
Abstract
In this Letter, we study the interaction between a self-sustaining exothermic reaction front propagating in a direction perpendicular to that of gravity and the buoyancy-driven convective flow during frontal polymerization (FP) of a low-viscosity monomer resin. As the polymerization front transforms the liquid monomer into the solid polymer, the large thermal gradients associated with the propagating front sustain a natural convection of the fluid ahead of the front. The fluid convection in turn affects the reaction-diffusion (RD) dynamics and the shape of the front. Detailed multiphysics numerical analyses and particle image velocimetry experiments reveal this coupling between natural convection and frontal polymerization. The frontal Rayleigh (Ra) number affects the magnitude of the velocity field and the inclination of the front. A higher Ra number drives instability during FP, leading to the observation of thermal-chemical patterns with tunable wavelengths and magnitudes.
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Affiliation(s)
- Y Gao
- Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana, Illinois 61801, USA
- Department of Aerospace Engineering, University of Illinois, Urbana, Illinois 61801, USA
| | - J E Paul
- Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana, Illinois 61801, USA
- Department of Material Science and Engineering, University of Illinois, Urbana, Illinois 61801, USA
| | - M Chen
- Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana, Illinois 61801, USA
- Department of Aerospace Engineering, University of Illinois, Urbana, Illinois 61801, USA
| | - L Hong
- Department of Mechanical Science and Engineering, University of Illinois, Urbana, Illinois 61801, USA
| | - L P Chamorro
- Department of Mechanical Science and Engineering, University of Illinois, Urbana, Illinois 61801, USA
| | - N R Sottos
- Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana, Illinois 61801, USA
- Department of Material Science and Engineering, University of Illinois, Urbana, Illinois 61801, USA
| | - P H Geubelle
- Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana, Illinois 61801, USA
- Department of Aerospace Engineering, University of Illinois, Urbana, Illinois 61801, USA
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Stergiou Y, Hauser MJ, Comolli A, Brau F, De Wit A, Schuszter G, Papp P, Horváth D, Roux C, Pimienta V, Eckert K, Schwarzenberger K. Effects of gravity modulation on the dynamics of a radial A+B→C reaction front. Chem Eng Sci 2022. [DOI: 10.1016/j.ces.2022.117703] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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Bere KV, Nez E, Balog E, Janovák L, Sebők D, Kukovecz Á, Roux C, Pimienta V, Schuszter G. Enhancing the yield of calcium carbonate precipitation by obstacles in laminar flow in a confined geometry. Phys Chem Chem Phys 2021; 23:15515-15521. [PMID: 34268548 DOI: 10.1039/d1cp01334c] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Abstract
Flow-driven precipitation experiments are performed in model porous media shaped within the confinement of a Hele-Shaw cell. Precipitation pattern formation and the yield of the reaction are investigated when borosilicate glass beads of different sizes are used in a mono-layer arrangement. The trend of the amount of precipitate produced in various porous media is estimated via visual observation. In addition, a new method is elaborated to complement such image analysis based results by titration experiments performed on gel-embedded precipitate patterns. The yield of confined porous systems is compared to experiments carried out in unsegmented reactors. It is found that the obstacles increase the amount of product and preserve its radial spatial distribution. The precipitate pattern is successfully conserved in a slightly cross-linked hydrogel matrix and its microstructure is examined using SEM. The spatial distribution of the precipitate across the cell gap is revealed using X-ray microtomography.
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Affiliation(s)
- Katalin Viktória Bere
- Department of Physical Chemistry and Materials Science, University of Szeged, Rerrich Béla tér 1, Szeged, H-6720, Hungary.
| | - Emilie Nez
- Laboratoire des IMRCP, Université de Toulouse, CNRS UMR 5623, Université Toulouse III - Paul Sabatier, France
| | - Edina Balog
- Department of Physical Chemistry and Materials Science, University of Szeged, Rerrich Béla tér 1, Szeged, H-6720, Hungary.
| | - László Janovák
- Department of Physical Chemistry and Materials Science, University of Szeged, Rerrich Béla tér 1, Szeged, H-6720, Hungary.
| | - Dániel Sebők
- Interdisciplinary Excellence Center, Department of Applied and Environmental Chemistry, University of Szeged, Hungary
| | - Ákos Kukovecz
- Interdisciplinary Excellence Center, Department of Applied and Environmental Chemistry, University of Szeged, Hungary
| | - Clément Roux
- Laboratoire des IMRCP, Université de Toulouse, CNRS UMR 5623, Université Toulouse III - Paul Sabatier, France
| | - Veronique Pimienta
- Laboratoire des IMRCP, Université de Toulouse, CNRS UMR 5623, Université Toulouse III - Paul Sabatier, France
| | - Gábor Schuszter
- Department of Physical Chemistry and Materials Science, University of Szeged, Rerrich Béla tér 1, Szeged, H-6720, Hungary.
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Bába P, Tóth Á, Horváth D. Surface-Tension-Driven Dynamic Contact Line in Microgravity. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:406-412. [PMID: 30562034 DOI: 10.1021/acs.langmuir.8b03592] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
We study the effect of Marangoni flow on a dynamic contact line formed by a propagating reaction front and a liquid-air interface. The self-sustained iodate-arsenous acid reaction maintains the production of the weakly surface active iodine leading to an unbalanced surface force along the tip of the reaction front. The experiments, performed in microgravity to exclude the contribution of buoyancy, reveal that the fluid flow generated by the surface tension gradient is localized to the contact line. The penetration depth of the surface stress is measured as 1-2 mm; therefore, with greater fluid height the liquid advancement on the upper surface does not lead to enhanced mixing in the bulk. Because the propagation velocity of the reactive interface remains at that of reaction-diffusion, the leading edge consists of two straight lines; a tilted segment connects the contact line on the surface with the vertical segment on bottom. Modeling calculations of the reaction-diffusion-advection system in three dimensions reconstruct the experimental observations and along with the experiments validate a model based on geometric spreading. According to the calculated flow field, the direction of significant fluid flow follows the concentration gradients and hence coincides with the propagation of the reaction front, allowing only negligible transverse flow in the upper fluid layer.
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