Nonlinear Physical Chemistry Unit
Service de Chimie Physique et Biologie
Théorique
Due to concentration and temperature differences across an exothermic autocatalytic traveling front, Rayleigh-Taylor or double-diffusive instabilities can develop when the front travels in a Hele-Shaw cell oriented vertically in the gravity field. In thin layers of solution in contact with air, surface tension effects can in addition come into play. Our research aims at a theoretical understanding of the spatio-temporal dynamics resulting from the coupling between these various hydrodynamic instabilities with the autocatalytic reactions.
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| Deformation of a chemical front featuring light and hot products in red invading downwards heavy and cold products in blue. Chemical reactions are able to destabilize statistically stable density stratifications (PRL 96, 154401 (2006)) (left: concentration field; right: stream function) | Marangoni-driven flow around an autocatalytic chemical front
traveling in a horizontal liquid layer with a free surface
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References:
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L. Rongy and A. De Wit, Solitary Marangoni-driven convective structures in bistable chemical systems, Phys. Rev. E. 77, 046310 (2008).
- L. Rongy, A. De Wit and G.M. Homsy, Asymptotic structure of steady nonlinear reaction-diffusion-Marangoni convection fronts, Phys. Fluids 20, 0721103 (2008).
L. Rongy, P.M.J. Trevelyan and A. De Wit, Dynamics of A+B—> C reaction fronts in the presence of buoyancy-driven convection, Phys. Rev. Lett. 101, 084503 (2008).
- L. Rongy and A. De Wit, Steady convective flows traveling with chemical fronts, Chimie Nouvelle 96, 106 (2007).
J. D'Hernoncourt, J.H. Merkin and A. De Wit, Front fingering and complex dynamics driven by the interaction of buoyancy and diffusive instabilities, Phys. Rev. E. 76, 035301R (2007).
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J. D'Hernoncourt, A. Zebib and A. De Wit, On the classification of buoyancy-driven chemo-hydrodynamic instabilities of chemical fronts, Chaos 17, 013109 (2007).
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J. D'Hernoncourt, A. De Wit and A. Zebib, Double diffusive instabilities of autocatalytic chemical fronts, J. Fluid Mech. 576, 445-456 (2007).
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J. D'Hernoncourt, A. De Wit and J.H. Merkin, Effects of a constant electric field on the diffusional instability of cubic autocatalytic reaction fronts, J. Chem. Phys. 126, 104504 (2007).
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L. Sebestikova, J. D'Hernoncourt, M.J. B. Hauser, S.C. Muller and A. De Wit, Development of flow field during finger splitting of a chemical front, Phys. Rev. E 75, 026309 (2007).
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L. Rongy and A. De Wit, Steady Marangoni Flow Traveling with a Chemical Front, J. Chem. Phys., 124, 164705 (2006).
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J. D'Hernoncourt, A. Zebib and A. De Wit, Reaction Driven Convection around a Stably Stratified Chemical Front, Phys. Rev. Lett., 96, 1545001 (2006).
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D. Lima, W. van Saarloos and A. De Wit, Fingering Dynamics of Pushed vs Pulled Fronts, Physica D, 218, 158-166 (2006).
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D. Lima, A. D'Onofrio and A. De Wit, Nonlinear fingering dynamics of reaction-diffusion fronts: Self-similar scaling and influence of differential diffusion J. Chem. Phys., 124, 014509 (2006).
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J. D'Hernoncourt, S. Kalliadasis and A. De Wit Fingering of exothermic reaction diffusion fronts in Hele-Shaw cells with conducting walls J. Chem. Phys., 123, 234503 (2005).
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A. Zadrazil, I.Z. Kiss, J. D'Hernoncourt, H. Sevcikova, J.H. Merkin, and A. De Wit, The effect of constant electric fields on the buoyant stability of reaction fronts, Phys. Rev. E. 71, 026224 (2005).
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A. De Wit, Miscible density fingering of chemical fronts in porous media: nonlinear simulations, Phys. Fluids, 16 , 163-175 (2004).
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S. Kalliadasis, J. Yang and A. De Wit, Fingering instabilities of exothermic reaction-diffusion fronts in porous media, Phys. Fluids, 16, 1395-1409 (2004).
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A. De Wit, Fingering of chemical fronts, These d'Agregation de l'Enseignement Superieur, ULB, 2004.
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D.A. Vasquez and A. De Wit, Dispersion relations for the convective instability of an acidity front in Hele-Shaw cells, J. Chem. Phys., 121, 935 (2004).
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T. Bansagi Jr., D. Horvath, A. Toth, J. Yang, S. Kalliadasis and A. De Wit, Density fingering of an exothermic autocatalytic reaction, Phys. Rev. E 68, 055301(R) (2003).
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J. Yang, A. D'Onofrio, S. Kalliadasis and A. De Wit, Rayleigh-Taylor instability of reaction-diffusion acidity fronts, J. Chem. Phys, 117, 9395-9408 (2002).
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A. De Wit, Fingering of Chemical Fronts in Porous media, Phys. Rev. Lett., 87, 054502 (2001).