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Budroni MA, Lemaigre L, Escala DM, Wit AD. Buoyancy-Driven Chemohydrodynamic Patterns in A + B → Oscillator Two-Layer Stratifications. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2023; 39:997-1009. [PMID: 36623172 PMCID: PMC9940852 DOI: 10.1021/acs.langmuir.2c02548] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/15/2022] [Revised: 12/13/2022] [Indexed: 06/17/2023]
Abstract
Chemohydrodynamic patterns due to the interplay of buoyancy-driven instabilities and reaction-diffusion patterns are studied experimentally in a vertical quasi-two-dimensional reactor in which two solutions A and B containing separate reactants of the oscillating Belousov-Zhabotinsky system are placed in contact along a horizontal contact line where excitable or oscillating dynamics can develop. Different types of buoyancy-driven instabilities are selectively induced in the reactive zone depending on the initial density jump between the two layers, controlled here by the bromate salt concentration. Starting from a less dense solution above a denser one, two possible differential diffusion instabilities are triggered depending on whether the fast diffusing sulfuric acid is in the upper or lower solution. Specifically, when the solution containing malonic acid and sulfuric acid is stratified above the one containing the slow-diffusing bromate salt, a diffusive layer convection (DLC) instability is observed with localized convective rolls around the interface. In that case, the reaction-diffusion wave patterns remain localized above the initial contact line, scarcely affected by the flow. If, on the contrary, sulfuric acid diffuses upward because it is initially dissolved in the lower layer, then a double-diffusion (DD) convective mode develops. This triggers fingers across the interface that mix the reactants such that oscillatory dynamics and rippled waves develop throughout the whole reactor. If the denser solution is put on top of the other one, then a fast developing Rayleigh-Taylor (RT) instability induces fast mixing of all reactants such that classical reaction-diffusion waves develop later on in the convectively mixed solutions.
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Affiliation(s)
- M. A. Budroni
- Department
of Chemical, Physical, Mathematical and Natural Sciences, University of Sassari, Via Vienna 2, 07100 Sassari, Italy
| | - L. Lemaigre
- Université
Libre de Bruxelles (ULB), Nonlinear Physical
Chemistry Unit, Faculté des Sciences, CP231, 1050 Brussels, Belgium
| | - D. M. Escala
- Université
Libre de Bruxelles (ULB), Nonlinear Physical
Chemistry Unit, Faculté des Sciences, CP231, 1050 Brussels, Belgium
| | - A. De Wit
- Université
Libre de Bruxelles (ULB), Nonlinear Physical
Chemistry Unit, Faculté des Sciences, CP231, 1050 Brussels, Belgium
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2
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Liu H, Taylor AF. Influence of Oxygen on Chemoconvective Patterns in the Iodine Clock Reaction. J Phys Chem B 2022; 126:10136-10145. [PMID: 36416799 PMCID: PMC9743209 DOI: 10.1021/acs.jpcb.2c04682] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
There is increasing interest in using chemical clock reactions to drive material formation; however, these reactions are often subject to chemoconvective effects, and control of such systems remains challenging. Here, we show how the transfer of oxygen at the air-water interface plays a crucial role in the spatiotemporal behavior of the iodine clock reaction with sulfite. A kinetic model was developed to demonstrate how the reaction of oxygen with sulfite can control a switch from a low-iodine to high-iodine state under well-stirred conditions and drive the formation of transient iodine gradients in unstirred solutions. In experiments in thin layers with optimal depths, the reaction couples with convective instability at the air-water interface forming an extended network-like structure of iodine at the surface that develops into a spotted pattern at the base of the layer. Thus, oxygen drives the spatial separation of iodine states essential for patterns in this system and may influence pattern selection in other clock reaction systems with sulfite.
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Affiliation(s)
- Haimiao Liu
- School
of Chemical Engineering and Technology, China University of Mining and Technology, Xuzhou221116, China
| | - Annette F. Taylor
- Chemical
and Biological Engineering, University of
Sheffield, SheffieldS1 3JD, U.K.,
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3
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Jamaluddin SJS, Khaothong K, Tinsley MR, Showalter K. Photochemical motion control of surface active Belousov-Zhabotinsky droplets. CHAOS (WOODBURY, N.Y.) 2020; 30:083143. [PMID: 32872820 DOI: 10.1063/5.0016252] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/02/2020] [Accepted: 08/05/2020] [Indexed: 06/11/2023]
Abstract
Photochemical control of the motion of surface active Belousov-Zhabotinsky (BZ) droplets in an oil-surfactant medium is carried out with illumination intensity gradients. Droplet motion is analyzed under conditions of constant uniform illumination and a constant illumination gradient. Control of droplet motion is developed by testing different illumination gradients. Complex hypotrochoid target trajectories are tracked by BZ droplets illuminated with two-dimensional V-shaped gradients.
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Affiliation(s)
- Syed Jazli Syed Jamaluddin
- C. Eugene Bennett Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA
| | - Kritsana Khaothong
- C. Eugene Bennett Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA
| | - Mark R Tinsley
- C. Eugene Bennett Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA
| | - Kenneth Showalter
- C. Eugene Bennett Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA
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4
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Liu Y, Ren X, Pan C, Zheng T, Yuan L, Zheng J, Gao Q. Chlorine dioxide-induced and Congo red-inhibited Marangoni effect on the chlorite-trithionate reaction front. CHAOS (WOODBURY, N.Y.) 2017; 27:104610. [PMID: 29092443 DOI: 10.1063/1.5001822] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Hydrodynamic flows can exert multiple effects on an exothermal autocatalytic reaction, such as buoyancy and the Marangoni convection, which can change the structure and velocity of chemical waves. Here we report that in the chlorite-trithionate reaction, the production and consumption of chlorine dioxide can induce and inhibit Marangoni flow, respectively, leading to different chemo-hydrodynamic patterns. The horizontal propagation of a reaction-diffusion-convection front was investigated with the upper surface open to the air. The Marangoni convection, induced by gaseous chlorine dioxide on the surface, produced from chlorite disproportionation after the proton autocatalysis, has the same effect as the heat convection. When the Marangoni effect is removed by the reaction of chlorine dioxide with the Congo red (CR) indicator, an oscillatory propagation of the front tip is observed under suitable conditions. Replacing CR with bromophenol blue (BPB) distinctly enhanced the floating, resulting in multiple vortexes, owing to the coexistence between BPB and chlorine dioxide. Using the incompressible Navier-Stokes equations coupled with reaction-diffusion and heat conduction equations, we numerically obtain various experimental scenarios of front instability for the exothermic autocatalytic reaction coupled with buoyancy-driven convection and Marangoni convection.
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Affiliation(s)
- Yang Liu
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Xingfeng Ren
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Changwei Pan
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Ting Zheng
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Ling Yuan
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Juhua Zheng
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Qingyu Gao
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
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5
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Tiani R, Rongy L. Influence of Marangoni flows on the dynamics of isothermal A + B → C reaction fronts. J Chem Phys 2016; 145:124701. [DOI: 10.1063/1.4962580] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- R. Tiani
- Nonlinear Physical Chemistry Unit, Faculté des Sciences, Université libre de Bruxelles (ULB), CP231, 1050 Brussels, Belgium
| | - L. Rongy
- Nonlinear Physical Chemistry Unit, Faculté des Sciences, Université libre de Bruxelles (ULB), CP231, 1050 Brussels, Belgium
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6
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Suematsu NJ, Mori Y, Amemiya T, Nakata S. Oscillation of Speed of a Self-Propelled Belousov-Zhabotinsky Droplet. J Phys Chem Lett 2016; 7:3424-3428. [PMID: 27532330 DOI: 10.1021/acs.jpclett.6b01539] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Self-propelled objects can become potential biomimetic micromachines, but a versatile strategy is required to add the desired functions. Introducing a characteristic chemical reaction is a simple answer; however, the problem is how the chemical reaction is coupled to the self-propelled motion. We propose a strategy to select the chemical reaction so that its product or intermediate affects the driving force of a self-propelled object. To demonstrate this strategy, we put an aqueous droplet of nonlinear chemical reaction, the Belousov-Zhabotinsky (BZ) reaction, into an oil phase including a surfactant, where an aqueous droplet was driven by an interfacial reaction of the surfactant and bromine. The results exhibited oscillation of speed, and it was synchronized with the redox oscillation of the BZ reaction in the droplet. Bromine is one of the intermediates of the BZ reaction, and thus the droplet motion well-reflected the characteristics of the BZ reaction.
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Affiliation(s)
- Nobuhiko J Suematsu
- Graduate School of Advanced Mathematical Sciences, Meiji University , 4-21-1 Nakano, Tokyo 164-8525, Japan
- Meiji Institute of Advanced Study of Mathematical Sciences, Meiji University , 4-21-1 Nakano, Tokyo 164-8525, Japan
| | - Yoshihito Mori
- Graduate School of Humanities and Sciences, Ochanomizu University , 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan
| | - Takashi Amemiya
- Graduate School of Environment and Information Sciences, Yokohama National University , 79-7 Tokiwadai, Hodogaya-ku, Yokohama 240-8501, Japan
| | - Satoshi Nakata
- Graduate School of Science, Hiroshima University , 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
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7
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Arai M, Takahashi K, Hattori M, Hasegawa T, Sato M, Unoura K, Nabika H. One-Directional Fluidic Flow Induced by Chemical Wave Propagation in a Microchannel. J Phys Chem B 2016; 120:4654-60. [PMID: 27167307 DOI: 10.1021/acs.jpcb.6b02850] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
A one-directional flow induced by chemical wave propagation was investigated to understand the origin of its dynamic flow. A cylindrical injection port was connected with a straight propagation channel; the chemical wave was initiated at the injection port. Chemical waves propagated with a constant velocity irrespective of the channel width, indicating that the dynamics of the chemical waves were governed by a geometry-independent interplay between the chemical reaction and diffusion. In contrast, the velocity of the one-directional flow was dependent on the channel width. Furthermore, enlargement of the injection port volume increased the flow velocity and volume flux. These results imply that the one-directional flow in the microchannel is due to a hydrodynamic effect induced in the injection port. Spectroscopic analysis of a pH indicator revealed the simultaneous behavior between the pH increase near the injection port and the one-directional flow. Hence, we can conclude that the one-directional flow in the microchannel with chemical wave propagation was caused by a proton consumption reaction in the injection port, probably through liquid volume expansion by the reaction products and the reaction heat. It is a characteristic feature of the present system that the hydrodynamic flow started from the chemical wave initiation point and not the propagation wavefront, as observed for previous systems.
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Affiliation(s)
- Miyu Arai
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University , 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
| | - Kazuhiro Takahashi
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University , 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
| | - Mika Hattori
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University , 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
| | - Takahiko Hasegawa
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University , 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
| | - Mami Sato
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University , 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
| | - Kei Unoura
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University , 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
| | - Hideki Nabika
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University , 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
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8
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Nabika H, Hasegawa T, Unoura K. Propagation Behaviors of an Acid Wavefront Through a Microchannel Junction. J Phys Chem B 2015; 119:9874-82. [PMID: 26132891 DOI: 10.1021/acs.jpcb.5b04210] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Waves in reaction-diffusion systems yield a wealth of dynamic self-assembling phenomena in nature. Recent studies have been devoted to utilizing these active waves in conjunction with microscale technology. To provide a compass for controlling reaction-diffusion waves in microspaces, we have investigated the propagation behavior of one specific variety of the reaction-diffusion wave: an acid wave that utilizes an autocatalytic proton-production reaction. Furthermore, the acid wave that we have investigated occurs in a microchannel with a junction connecting circular and straight regions. The obtained results were compared with a neutralization wave that involves only a neutralization reaction. The acid wave was ignited by the addition of the appropriate amount of H2SO4 into the circular region that was filled with a substrate solution, where proton-consuming and proton-producing reactions followed a rapid neutralization reaction. At this stage, the wave penetrated and propagated into the channel region. Comparison between the acid and the neutralization waves clarified that the acid wave required a minimum threshold of H2SO4 concentration in order to be ignited and that the propagation of the acid wave was temporarily delayed because of the presence of intermediate chemical reaction steps. Furthermore, the propagation dynamics was found to be tuned through the configuration of the microchannel. The importance of microchannel configuration, especially for systems with a junction connecting different shapes, is discussed in terms of Fick's law and in terms of the proton flux from the circular to the straight regions.
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Affiliation(s)
- Hideki Nabika
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University, 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
| | - Takahiko Hasegawa
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University, 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
| | - Kei Unoura
- Department of Material and Biological Chemistry, Faculty of Science, Yamagata University, 1-4-12 Kojirakawa, Yamagata 990-8560, Japan
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9
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Pópity-Tóth É, Pótári G, Erdős I, Horváth D, Tóth Á. Marangoni instability in the iodate–arsenous acid reaction front. J Chem Phys 2014; 141:044719. [DOI: 10.1063/1.4890727] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Affiliation(s)
- Éva Pópity-Tóth
- Department of Physical Chemistry and Materials Science, University of Szeged, Aradi vértanúk tere 1., Szeged H-6720, Hungary
| | - Gábor Pótári
- Department of Physical Chemistry and Materials Science, University of Szeged, Aradi vértanúk tere 1., Szeged H-6720, Hungary
| | - István Erdős
- Department of Physical Chemistry and Materials Science, University of Szeged, Aradi vértanúk tere 1., Szeged H-6720, Hungary
| | - Dezső Horváth
- Department of Applied and Environmental Chemistry, University of Szeged, Rerrich Béla tér 1., Szeged H-6720, Hungary
| | - Ágota Tóth
- Department of Physical Chemistry and Materials Science, University of Szeged, Aradi vértanúk tere 1., Szeged H-6720, Hungary
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10
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Escala DM, Budroni MA, Carballido-Landeira J, De Wit A, Muñuzuri AP. Self-Organized Traveling Chemo-Hydrodynamic Fingers Triggered by a Chemical Oscillator. J Phys Chem Lett 2014; 5:413-8. [PMID: 26276584 DOI: 10.1021/jz402625z] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
Pulsatile chemo-hydrodynamic patterns due to a coupling between an oscillating chemical reaction and buoyancy-driven hydrodynamic flows can develop when two solutions of separate reactants of the Belousov-Zhabotinsky reaction are put in contact in the gravity field and conditions for chemical oscillations are met in the contact zone. In regular oscillatory conditions, localized periodic changes in the concentration of intermediate species induce pulsatile density gradients, which, in turn, generate traveling convective fingers breaking the transverse symmetry. These patterns are the self-organized result of a genuine coupling between chemical and hydrodynamic modes.
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Affiliation(s)
- D M Escala
- †Nonlinear Physics Group, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
| | - M A Budroni
- ‡Nonlinear Physical Chemistry Unit, Service de Chimie Physique et Biologie Théorique, Faculté des Sciences, Université Libre de Bruxelles (ULB), CP231, 1050 Brussels, Belgium
| | - J Carballido-Landeira
- †Nonlinear Physics Group, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
| | - A De Wit
- ‡Nonlinear Physical Chemistry Unit, Service de Chimie Physique et Biologie Théorique, Faculté des Sciences, Université Libre de Bruxelles (ULB), CP231, 1050 Brussels, Belgium
| | - A P Muñuzuri
- †Nonlinear Physics Group, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
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11
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NOMOTO T, TOYOTA T, FUJINAMI M. Quasi-elastic Laser Scattering for Measuring Inhomogeneous Interfacial Tension in Non-equilibrium Phenomena with Convective Flows. ANAL SCI 2014; 30:707-16. [DOI: 10.2116/analsci.30.707] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Affiliation(s)
- Tomonori NOMOTO
- Department of Applied Chemistry and Biotechnology, Chiba University
| | - Taro TOYOTA
- Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo
- Precursory Research for Embryonic Science and Technology (PRESTO), Japan Science and Technology Agency
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12
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Pópity-Tóth É, Pimienta V, Horváth D, Tóth Á. Hydrodynamic instability in the open system of the iodate–arsenous acid reaction. J Chem Phys 2013; 139:164707. [DOI: 10.1063/1.4825399] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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13
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Tanaka R, Nomoto T, Toyota T, Kitahata H, Fujinami M. Delayed Response of Interfacial Tension in Propagating Chemical Waves of the Belousov–Zhabotinsky Reaction without Stirring. J Phys Chem B 2013; 117:13893-8. [DOI: 10.1021/jp4079458] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ryo Tanaka
- Department
of Applied Chemistry and Biotechnology, Chiba University, 1-33
Yayoi, Inage, Chiba 263-8522, Japan
| | - Tomonori Nomoto
- Department
of Applied Chemistry and Biotechnology, Chiba University, 1-33
Yayoi, Inage, Chiba 263-8522, Japan
| | - Taro Toyota
- Department
of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8902, Japan
| | - Hiroyuki Kitahata
- Department
of Physics, Graduate School of Science, Chiba University, 1-33
Yayoi, Inage, Chiba 263-8522, Japan
| | - Masanori Fujinami
- Department
of Applied Chemistry and Biotechnology, Chiba University, 1-33
Yayoi, Inage, Chiba 263-8522, Japan
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14
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De Wit A, Eckert K, Kalliadasis S. Introduction to the focus issue: chemo-hydrodynamic patterns and instabilities. CHAOS (WOODBURY, N.Y.) 2012; 22:037101. [PMID: 23020492 DOI: 10.1063/1.4756930] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
Pattern forming instabilities are often encountered in a wide variety of natural phenomena and technological applications, from self-organization in biological and chemical systems to oceanic or atmospheric circulation and heat and mass transport processes in engineering systems. Spatio-temporal structures are ubiquitous in hydrodynamics where numerous different convective instabilities generate pattern formation and complex spatiotemporal dynamics, which have been much studied both theoretically and experimentally. In parallel, reaction-diffusion processes provide another large family of pattern forming instabilities and spatio-temporal structures which have been analyzed for several decades. At the intersection of these two fields, "chemo-hydrodynamic patterns and instabilities" resulting from the coupling of hydrodynamic and reaction-diffusion processes have been less studied. The exploration of the new instability and symmetry-breaking scenarios emerging from the interplay between chemical reactions, diffusion and convective motions is a burgeoning field in which numerous exciting problems have emerged during the last few years. These problems range from fingering instabilities of chemical fronts and reactive fluid-fluid interfaces to the dynamics of reaction-diffusion systems in the presence of chaotic mixing. The questions to be addressed are at the interface of hydrodynamics, chemistry, engineering or environmental sciences to name a few and, as a consequence, they have started to draw the attention of several communities including both the nonlinear chemical dynamics and hydrodynamics communities. The collection of papers gathered in this Focus Issue sheds new light on a wide range of phenomena in the general area of chemo-hydrodynamic patterns and instabilities. It also serves as an overview of the current research and state-of-the-art in the field.
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Affiliation(s)
- A De Wit
- Nonlinear Physical Chemistry Unit, Service de Chimie Physique et Biologie Théorique, Faculté des Sciences, Université Libre de Bruxelles (ULB), CP 231, 1050 Brussels, Belgium.
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15
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Budroni MA, Rongy L, De Wit A. Dynamics due to combined buoyancy- and Marangoni-driven convective flows around autocatalytic fronts. Phys Chem Chem Phys 2012; 14:14619-29. [DOI: 10.1039/c2cp41962a] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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16
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Kitahata H, Yoshinaga N, Nagai KH, Sumino Y. Spontaneous motion of a droplet coupled with a chemical wave. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:015101. [PMID: 21867241 DOI: 10.1103/physreve.84.015101] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/13/2010] [Revised: 05/24/2011] [Indexed: 05/28/2023]
Abstract
We propose a framework for the spontaneous motion of a droplet coupled with internal dynamic patterns generated in a reaction-diffusion system. The spatiotemporal order of the chemical reaction gives rise to inhomogeneous surface tension and results in self-propulsion driven by the surrounding flow due to the Marangoni effect. Numerical calculations of internal patterns together with theoretical results of the flow fields at low Reynolds number reproduce well the experimental results obtained using a droplet of the Belousov-Zhabotinsky reaction medium.
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Affiliation(s)
- Hiroyuki Kitahata
- Department of Physics, Graduate School of Science, Chiba University, Chiba, Japan.
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17
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Abstract
When autocatalytic chemical fronts propagate in thin layers of solution in contact with air, they can induce capillary flows due to surface tension gradients across the front (Marangoni flows). We investigate here such an interplay between autocatalytic reactions, diffusion, and Marangoni effects with a theoretical model coupling the incompressible Navier-Stokes equations to a conservation equation for the autocatalytic product concentration in the absence of gravity and for isothermal conditions. The boundary condition at the open liquid/air interface takes the surface activity of this product into account and introduces the solutal Marangoni number M representing the intensity of the coupling between hydrodynamics and reaction-diffusion processes. Positive and negative Marangoni numbers correspond, respectively, to the cases where the product decreases or increases surface tension behind the front. We show that, in both cases, such coupled systems reach an asymptotic dynamics characterized by a steady fluid vortex traveling at a constant speed with the front and deforming it, with, however, an asymmetry between the results for positive and negative M. A parametric study shows that increased propagation speed, front deformation, and possible transient oscillating dynamics occur when the absolute value of M is increased.
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Affiliation(s)
- L Rongy
- Service de Chimie Physique et Biologie Théorique and Center for Nonlinear Phenomena and Complex Systems, CP 231, Université Libre de Bruxelles, 1050 Brussels, Belgium.
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18
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Britton MM. Nuclear Magnetic Resonance Studies of Convection in the 1,4-Cyclohexanedione−Bromate−Acid Reaction. J Phys Chem A 2006; 110:5075-80. [PMID: 16610827 DOI: 10.1021/jp0564851] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The manifestation and development of convection during pattern formation in the 1,4-cyclohexanedione-acid-bromate reaction was investigated using pulsed gradient spin-echo nuclear magnetic resonance (PGSE NMR) experiments. An apparatus was devised that enabled convection to be probed inside an NMR spectrometer and prevented hydrodynamic motion arising from extraneous sources, such as poor mixing or temperature gradients imposed by the experimental setup. PGSE experiments were performed concurrently with magnetic resonance imaging (MRI) experiments to show that convection arose spontaneously from inhomogeneities associated with the chemical patterns. Quantitative data on diffusion coefficients and hydrodynamic velocities are reported.
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Affiliation(s)
- Melanie M Britton
- Magnetic Resonance Research Centre, Department of Chemical Engineering, University of Cambridge, New Museums Site, Pembroke Street, Cambridge, CB2 3RA, UK.
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19
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Britton MM. Nuclear Magnetic Resonance Studies of the 1,4-Cyclohexanedione−Bromate−Acid Oscillatory System. J Phys Chem A 2003. [DOI: 10.1021/jp0343279] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Melanie M. Britton
- Magnetic Resonance Research Centre, Department of Chemical Engineering, University of Cambridge, New Museums Site, Pembroke Street, Cambridge, CB2 3RA, U.K
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Manz N, Davydov VA, Zykov VS, Müller SC. Excitation fronts in a spatially modulated light-sensitive Belousov-Zhabotinsky system. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002; 66:036207. [PMID: 12366224 DOI: 10.1103/physreve.66.036207] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/21/2002] [Indexed: 05/23/2023]
Abstract
The evolution of excitation wave fronts in a spatially modulated light-sensitive Belousov-Zhabotinsky system is investigated experimentally and theoretically. The excitation wave propagates in a thin, quasi-two-dimensional reaction layer, which is illuminated through a periodical gray level mask. The light-induced differences in excitability and velocity give rise to a temporal and spatial modulation of the initially flat fronts. The experimental front evolution is described in the framework of a kinematical theory as developed earlier for nonuniformly curved systems.
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Affiliation(s)
- N Manz
- Institut für Experimentelle Physik, Otto-von-Guericke-Universität, D-39106 Magdeburg, Germany
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21
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Kitahata H, Aihara R, Magome N, Yoshikawa K. Convective and periodic motion driven by a chemical wave. J Chem Phys 2002. [DOI: 10.1063/1.1456023] [Citation(s) in RCA: 81] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Inomoto O, Abe K, Amemiya T, Yamaguchi T, Kai S. Bromomalonic-acid-induced transition from trigger wave to big wave in the Belousov-Zhabotinsky reaction. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000; 61:5326-5329. [PMID: 11031580 DOI: 10.1103/physreve.61.5326] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/07/1999] [Indexed: 05/23/2023]
Abstract
The Marangoni effects on chemical waves in the ferroin-catalyzed Belousov-Zhabotinsky reaction were studied. The main purpose of the present study was to understand the mechanism of the big wave, an accelerative chemical wave involving surface-tension-driven fluid motions. Spatiotemporal variations of surface tension caused by a chemical wave were measured using the Wilhelmy method. The transition from conventional trigger waves to big waves, due to a concentration change of bromomalonic acid, was observed. The strong surface activity of the bromomalonic acid which was responsible for the transition was also observed. It led to an acceleration of the big waves through the Marangoni effect.
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Affiliation(s)
- O Inomoto
- Institute of Environmental Systems, Graduate School of Engineering, Kyushu University, Fukuoka, Japan
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Perez-Villar V, Munuzuri AP, Perez-Munuzuri V. Convective structures in a two-layer gel-liquid excitable medium. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000; 61:3771-3776. [PMID: 11088156 DOI: 10.1103/physreve.61.3771] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/27/1999] [Indexed: 05/23/2023]
Abstract
The onset of convection due to wave propagation is investigated in the framework of the Belousov-Zhabotinsky reaction. Numerical calculations are based on a three variable Oregonator model coupled with the Navier-Stokes hydrodynamic equations under the Boussineq approximation for a system consisting of two layers, a liquid and a gel, both in close contact through an interface where chemical concentration exchange is allowed. The influence on the formation of convective rolls associated to wave front propagation is studied in terms of the exchange rate through the interface, the liquid layer width, and the coupling strength between the fluid flow and chemical dynamics. Waves are initiated on the surface of the gel and this perturbation is allowed to propagate into the liquid initiating either two counterrotating convective cells (at both sides of the front) or a disordered pattern.
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Affiliation(s)
- V Perez-Villar
- Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain
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Komlósi A, Nagy IP, Bazsa G, Pojman JA. Convective Chemical Fronts in the 1,4-Cyclohexanedione−Bromate−Sulfuric Acid−Ferroin System. J Phys Chem A 1998. [DOI: 10.1021/jp981557s] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Andrea Komlósi
- Department of Physical Chemistry, Kossuth Lajos University, Debrecen, Hungary H-4010
| | - István Péter Nagy
- Department of Physical Chemistry, Kossuth Lajos University, Debrecen, Hungary H-4010
| | - György Bazsa
- Department of Physical Chemistry, Kossuth Lajos University, Debrecen, Hungary H-4010
| | - John A. Pojman
- Department of Chemistry and Biochemistry, University of Southern Mississippi, Hattiesburg, Mississippi 39406-5043
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Goldfeder PM, Volpert VA, Ilyashenko VM, Khan AM, Pojman JA, Solovyov SE. Mathematical Modeling of Free-Radical Polymerization Fronts. J Phys Chem B 1997. [DOI: 10.1021/jp962150v] [Citation(s) in RCA: 87] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Bowden G, Garbey M, Ilyashenko VM, Pojman JA, Solovyov SE, Taik A, Volpert VA. Effect of Convection on a Propagating Front with a Solid Product: Comparison of Theory and Experiments. J Phys Chem B 1997. [DOI: 10.1021/jp962354b] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Gina Bowden
- Department of Chemistry and Biochemistry, University of Southern Mississippi, Hattiesburg, Mississippi 39406, Laboratoire d'Analyse Numérique, Université Lyon I, Batiment 101, 43, bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France, and Faculty of Science and Technology, King Hassan II University−Mohammadia, B.P. 146, Mohammadia, Morocco
| | - Marc Garbey
- Department of Chemistry and Biochemistry, University of Southern Mississippi, Hattiesburg, Mississippi 39406, Laboratoire d'Analyse Numérique, Université Lyon I, Batiment 101, 43, bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France, and Faculty of Science and Technology, King Hassan II University−Mohammadia, B.P. 146, Mohammadia, Morocco
| | - Victor M. Ilyashenko
- Department of Chemistry and Biochemistry, University of Southern Mississippi, Hattiesburg, Mississippi 39406, Laboratoire d'Analyse Numérique, Université Lyon I, Batiment 101, 43, bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France, and Faculty of Science and Technology, King Hassan II University−Mohammadia, B.P. 146, Mohammadia, Morocco
| | - John A. Pojman
- Department of Chemistry and Biochemistry, University of Southern Mississippi, Hattiesburg, Mississippi 39406, Laboratoire d'Analyse Numérique, Université Lyon I, Batiment 101, 43, bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France, and Faculty of Science and Technology, King Hassan II University−Mohammadia, B.P. 146, Mohammadia, Morocco
| | - Stanislav E. Solovyov
- Department of Chemistry and Biochemistry, University of Southern Mississippi, Hattiesburg, Mississippi 39406, Laboratoire d'Analyse Numérique, Université Lyon I, Batiment 101, 43, bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France, and Faculty of Science and Technology, King Hassan II University−Mohammadia, B.P. 146, Mohammadia, Morocco
| | - Ahmed Taik
- Department of Chemistry and Biochemistry, University of Southern Mississippi, Hattiesburg, Mississippi 39406, Laboratoire d'Analyse Numérique, Université Lyon I, Batiment 101, 43, bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France, and Faculty of Science and Technology, King Hassan II University−Mohammadia, B.P. 146, Mohammadia, Morocco
| | - Vitaly A. Volpert
- Department of Chemistry and Biochemistry, University of Southern Mississippi, Hattiesburg, Mississippi 39406, Laboratoire d'Analyse Numérique, Université Lyon I, Batiment 101, 43, bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France, and Faculty of Science and Technology, King Hassan II University−Mohammadia, B.P. 146, Mohammadia, Morocco
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Diewald M, Matthiessen K, Müller SC, Brand HR. Oscillatory Hydrodynamic Flow due to Concentration Dependence of Surface Tension. PHYSICAL REVIEW LETTERS 1996; 77:4466-4469. [PMID: 10062545 DOI: 10.1103/physrevlett.77.4466] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Wu Y, Vasquez DA, Edwards BF, Wilder JW. Transitions between convective patterns in chemical fronts. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:6175-6182. [PMID: 9964134 DOI: 10.1103/physreve.52.6175] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Diewald M, Brand HR. Chemically driven convection can stabilize Turing patterns. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:R5200-R5203. [PMID: 9963395 DOI: 10.1103/physreve.51.r5200] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Wu Y, Vasquez DA, Edwards BF, Wilder JW. Convective chemical-wave propagation in the Belousov-Zhabotinsky reaction. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:1119-1127. [PMID: 9962754 DOI: 10.1103/physreve.51.1119] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
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Miike H, Yamamoto H, Kai S, Müller SC. Accelerating chemical waves accompanied by traveling hydrodynamic motion and surface deformation. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:R1627-R1630. [PMID: 9960864 DOI: 10.1103/physreve.48.r1627] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Su S, Armstrong RL, Menzinger M, Cross A, Lemaire C. Detection of critical mode convection in the presence of a thermal gradient using chemical waves as a passive indicator. J Chem Phys 1993. [DOI: 10.1063/1.464722] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Miike H, Muller SC. Turbulent decomposition of chemical waves by spontaneously induced hydrodynamic oscillation. CHAOS (WOODBURY, N.Y.) 1993; 3:21-25. [PMID: 12780011 DOI: 10.1063/1.165975] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
The dynamic evolution of a chemical reaction-diffusion pattern and its interaction with hydrodynamic flow is investigated by two-dimensional velocimetry and spectrophotometry based on microscope video imaging techniques. Oscillatory deformation and turbulent decomposition of chemical wave fronts are observed which are induced by a pronounced oscillatory flow excited spontaneously in a Belousov-Zhabotinsky solution layer with a free surface.
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Affiliation(s)
- H. Miike
- Department of Electrical Engineering, Yamaguchi University, Tokiwadai 2557, 755 Ube, JapanMax-Planck-Institut fur molekulare Physiologie, Rheinlanddamm 201, D-4600 Dortmund 1, Germany
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Interaction of chemical waves with convective flows induced by density gradients. A comparison between experiments and computer simulations. Chem Phys Lett 1992. [DOI: 10.1016/0009-2614(92)87062-t] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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37
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Tzalmona A, Armstrong R, Menzinger M, Cross A, Lemaire C. Measurement of the velocity of chemical waves by magnetic resonance imaging. Chem Phys Lett 1992. [DOI: 10.1016/0009-2614(92)80848-6] [Citation(s) in RCA: 20] [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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