- Access by Xinjiang University
Chemical reaction for mixing studies
Phys. Rev. Fluids 6, 114501 – Published 16 November, 2021
DOI: https://doi.org/10.1103/PhysRevFluids.6.114501
Abstract
We introduce an original chemical reaction between two transparent reactant solutions (fluorescin and potassium ferricyanide), producing a fluorescent product in water (fluorescein). The reaction has a tunable kinetics, allowing the quantitative investigation of the interplay between molecular diffusion and reaction kinetics in various reactant field topologies. We document the chemical reaction kinetics and its sensitivity to ambient pH, temperature, reactants concentrations, etc., and we implement it in two simple reactant-contacting geometries in a Hele-Shaw cell. The resulting reaction-diffusion zones and product formation rates exhibit either the reaction-controlled or diffusion-controlled regimes, as well as a new “diffusio-chemical” regime which we show to be inherent to the early time transient dynamics of any bimolecular reaction between initially segregated reactants. The potential interest of this reaction, opening prospects for the study of reactive mixing, is underlined.
Physics Subject Headings (PhySH)
See Also
Chemical reactions rectify mixtures composition
Article Text
References (47)
- D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics (Plenum Press, New York, 1969).
- M. Boudart, Kinetics of Chemical Processes (Prentice-Hall, Inc., 1968).
- G. Damköhler, Der Einfluss der Turbulenz auf die Flammengeschwindigkeit in Gasgemischen, Z. Elektrochem. Angew. Phys. Chem. 46, 601 (1940).
- E. Villermaux, Mixing versus stirring, Annu. Rev. Fluid Mech. 51, 245 (2019).
- P. V. Danckwerts and R. A. M. Wilson, Flow-visualization by means of a time-reaction, J. Fluid Mech. 16, 412 (1963).
- J. R. Bourne, C. Hilber, and G. Tovstiga, Kinetics of the azo coupling reactions between 1-naphthol and diazotised sulphanilic acid, Chem. Eng. Commun. 37, 293 (1985).
- R. J. Demyanovich and J. R. Bourne, Rapid micromixing by the impingement of thin liquid sheets. 2. Mixing study, Ind. Eng. Chem. Res. 28, 830 (1989).
- R. Breidenthal, Structure in turbulent mixing layers and wakes using a chemical reaction, J. Fluid Mech. 109, 1 (1981).
- A. R. Karagozian, Y. Suganuma, and B. D. Strom, Experimental studies in vortex pair motion coincident with a liquid reaction, Phys. Fluids 31, 1862 (1988).
- B. M. Cetegen and N. Mohamad, Experiments on liquid mixing and reaction in a vortex, J. Fluid Mech. 249, 391 (1993).
- W. J. A. Dahm and P. E. Dimotakis, Measurements of entrainment and mixing in turbulent jets, AIAA J. 25, 1216 (1987).
- A. F. Corriveau and W. D. Baines, Difusive mixing in turbulent jets as revealed by a pH indicator, Exp. Fluids 16, 129 (1993).
- A. Douhal, F. Lahmani, and A. H. Zewail, Proton-transfer reaction dynamics, Chem. Phys. 207, 477 (1996).
- O. F. Mahammed, D. Pines, E. Pines, and E. T. J. Nibbering, Aqueous bimolecular proton transfer in acid–base neutralization, Chem. Phys. 341, 240 (2007).
- E. Villermaux, Fast bimolecular reactions in high Reynolds number turbulence: Structure of the reactive interface and surface of reaction, in Advances in Turbulence V (Springer, 1995), pp. 529–533.
- R. F. Ismagilov, A. D. Stroock, P. J. A. Kenis, G. Whitesides, and H. A. Stone, Experimental and theoretical scaling laws for transverse diffusive broadening in two-phase laminar flows in microchannels, Appl. Phys. Lett. 76, 2376 (2000).
- C. N. Baroud, F. Okkels, L. Ménétrier, and P. Tabeling, Reaction-diffusion dynamics: Confrontation between theory and experiment in a microfluidic reactor, Phys. Rev. E 67, 060104(R) (2003).
- A. Toth, G. Schuszter, N. Prabha Das, E. Lantos, D. Horvath, A. De Wit, and F. Brau, Effects of radial injection and solution thickness on the dynamics of confined chemical fronts, Phys. Chem. Chem. Phys. 22, 10278 (2020).
- M. Chalfie, Gfp: Lighting up life, Proc. Natl. Acad. Sci. USA 106, 10073 (2009).
- K. D. Piatkevich, S. Bensussen, H. Tseng, S. N. Shroff, V. G. Lopez-Huerta, D. Park, E. E. Jung, O. A. Shemesh, C. Straub, H. J. Gritton, M. F. Romano, E. Costa, B. L. Sabatini, Z. Fu, E. S. Boyden, and X. Han, Population imaging of neural activity in awake behaving mice, Nature (London) 574, 413 (2019).
- A. Terskikh et al., ‘‘Fluorescent timer”: Protein that changes color with time, Science 290, 1585 (2000).
- C. V. H. H. Chen, Y. Liu, H. A. Stone, and R. K. Prud'homme, Visualization of surfactant dynamics to and along oil-water interfaces using solvatochromic fluorescent surfactants, Langmuir 34, 10512 (2018).
- N. Mingotti and S. S. S. Cardoso, Mixing and reaction in turbulent plumes: The limits of slow and instantaneous chemical kinetics, J. Fluid Mech. 861, 1 (2019).
- L. Gálfi and Z. Rácz, Properties of the reaction front in an type reaction-diffusion process, Phys. Rev. A 38, 3151 (1988).
- H. Larralde, M. Araujo, S. Havlin, and H. E. Stanley, Reaction front for diffusion-reaction systems with initially separated reactants, Phys. Rev. A 46, 855 (1992).
- M. Z. Bazant and H. A. Stone, Asymptotics of reaction–diffusion fronts with one static and one diffusing reactant, Phys. D (Amsterdam, Neth.) 147, 95 (2000).
- Z. Koza, The long-time behavior of initially separated reaction-diffusion systems with arbitrary diffusion constants, J. Stat. Phys. 85, 179 (1996).
- H. Taitelbaum, Segregation in reaction-diffusion systems, Phys. A (Amsterdam, Neth.) 200, 155 (1993).
- H. Taitelbaum and Z. Koza, Anomalous kinetics of reaction diffusion fronts, Philos. Mag. B 77, 1389 (1998).
- B. Budowle, J. L. Leggitt, D. A. Defenbaugh, K. M. Keys, and S. F. Malkiewicz, The presumptive reagent fluorescein for detection of dilute bloodstains and subsequent STR typing of recovered DNA, J. Forensic Sci. 45, 14835J (2000).
- C. P. LeBel, H. Ischiropoulos, and S. C. Bondy, Evaluation of the probe 2’, 7'- dichlorofluorescin as an indicator of reactive oxygen species formation and oxidative stress, Chem. Res. Toxicol. 5, 227 (1992).
- W. M. Haynes, CRC Handbook of Chemistry and Physics (CRC Press, 2014).
- E. Guilbert, Ph.D. thesis, Aix-Marseille Université, 2020.
- UCON 75-H-90,000, Available from DOW Company, Michigan, USA (2015), https://www.dow.com/en-us/pdp.ucon-lubricant-75-h-90000.85853z.html.
- A. De Wit, Chemo-hydrodynamic patterns and instabilities, Annu. Rev. Fluid Mech. 52, 531 (2020).
- Y. Shi and K. Eckert, A novel Hele-Shaw cell design for the analysis of hydrodynamic instabilities in liquid–liquid systems, Chem. Eng. Sci. 63, 3560 (2008).
- G. K. Batchelor, Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity, J. Fluid Mech. 5, 113 (1959).
- H. Taitelbaum, S. Havlin, J. E. Kiefer, B. Trus, and G. H. Weiss, Some properties of the reaction-diffusion system with initially separated components, J. Stat. Phys. 65, 873 (1991).
- M. Sinder and J. Pelleg, Asymptotic properties of a reversible (static) reaction-diffusion process with initially separated reactants, Phys. Rev. E 62, 3340 (2000).
- M. Sinder, V. Sokolovsky, and J. Pelleg, Reversible reaction–diffusion process with initially mixed reactants: Boundary layer function approach, Phys. B (Amsterdam, Neth.) 406, 3042 (2011).
- C. H. Gibson and P. A. Libby, On turbulent flows with fast chemical reactions. Part II. The distribution of reactants and products near a reacting surface, Combust. Sci. Technol. 6, 29 (1972).
- J. Salvinien and J. J. Moreau, Etude détaillée du mouvement et de la stabilisation du front de précipitation lorsque deux réactifs diffusent l'un vers l'autre dans un gel, J. Chim. Phys. Phys.-Chim. Biol. 55, 300 (1958).
- H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Oxford University Press, London, 1959).
- G. I. Taylor, Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. R. Soc. London, Ser. A 219, 186 (1953).
- F. Brau, G. Schuszter, and A. De Wit, Flow Control of Fronts by Radial Injection, Phys. Rev. Lett. 118, 134101 (2017).
- E. Guilbert, B. Metzger, and E. Villermaux, Chemical production on a deforming substrate (unpublished).
- E. Guilbert and E. Villermaux, Chemical reactions rectify mixtures composition, Phys. Rev. Fluids 6, L112501 (2021).