Chemical instabilities and "shocks" in a non linear convection problem issued from geology

Abstract : The chemical transformation of a rock by a pervading convecting fluid in disequilibrium with it is modelled by a non-linear partial differential equation of hyperbolic type. Starting from a continuous concentration profile, the solution may become discontinuous within a finite time in some cases. We show that this is due to the instability, in the sense of the second principle of thermodynamics, of a range of the possible concentrations with respect to this dynamical phenomenon. The simple model exposed gives a good account for the characteristic pattern of this phenomenon, which is the self spatial organization of the concentrations in different domains separated by strong gradients.
Type de document :
Chapitre d'ouvrage
Chemical Instabilities, G. Nicolis et F.Baras, pp.341-348, 1984
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https://hal-emse.ccsd.cnrs.fr/emse-00504425
Contributeur : Andrée-Aimée Toucas <>
Soumis le : mardi 20 juillet 2010 - 15:21:45
Dernière modification le : jeudi 11 janvier 2018 - 06:20:33

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  • HAL Id : emse-00504425, version 1

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Bernard Guy, Françis Conrad, Michel Cournil, François Kalaydjian. Chemical instabilities and "shocks" in a non linear convection problem issued from geology. Chemical Instabilities, G. Nicolis et F.Baras, pp.341-348, 1984. 〈emse-00504425〉

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