Issue |
J. Phys. IV France
Volume 11, Number PR6, Octobre 2001
Sciences de la matière et microgravité
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Page(s) | Pr6-99 - Pr6-106 | |
DOI | https://doi.org/10.1051/jp4:2001612 |
Sciences de la matière et microgravité
J. Phys. IV France 11 (2001) Pr6-99-Pr6-106
DOI: 10.1051/jp4:2001612
1 Laboratoire Fluides Automatique et Systèmes Thermiques, Universités Pierre et Marie Curie et Paris Sud, UMR 7608 du CNRS, bâtiment 502, Campus Universitaire, 91405 Orsay cedex, France
2 Laboratoire Fluides Automatique et Systèmes Thermiques, Universités Pierre et Marie Curie et Paris Sud, UMR 7608 du CNRS, bâtiment 502, Campus Universitaire, 91405 Orsay cedex, France
3 Otto-von-Guericke-Universität Magdeburg, PF 4120, 39016 Magdeburg, Germany
© EDP Sciences 2001
J. Phys. IV France 11 (2001) Pr6-99-Pr6-106
DOI: 10.1051/jp4:2001612
Gravitational instability of miscible fluids in a Hele-Shaw cell and chemical reaction
J. Martin1, N. Rakotomalala2, D. Salin2, M. Böckmann3 and S. Müller31 Laboratoire Fluides Automatique et Systèmes Thermiques, Universités Pierre et Marie Curie et Paris Sud, UMR 7608 du CNRS, bâtiment 502, Campus Universitaire, 91405 Orsay cedex, France
2 Laboratoire Fluides Automatique et Systèmes Thermiques, Universités Pierre et Marie Curie et Paris Sud, UMR 7608 du CNRS, bâtiment 502, Campus Universitaire, 91405 Orsay cedex, France
3 Otto-von-Guericke-Universität Magdeburg, PF 4120, 39016 Magdeburg, Germany
Abstract
Autocatalytic reaction fronts are able to propagate as a solitary wave, that is at a constant velocity and with a stationary concentration profile which result from a balance between diffusion and chemical reaction. Experiments in thin cells have shown a buoyant instability due to the slightly smaller density of the reacted fluid. We provide an extension of our recent analysis of the Rayleigh-Taylor instability of the interface between two miscible fluids by including the chemical process by a reaction-convection-diffusion approach. The computed dispersion relation as well as our lattice BGK simulations compare reasonably well with the growth rates obtained experimentally.
© EDP Sciences 2001