Skip to Main content Skip to Navigation
Book sections

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.
Document type :
Book sections
Complete list of metadatas

https://hal-emse.ccsd.cnrs.fr/emse-00504425
Contributor : Andrée-Aimée Toucas <>
Submitted on : Tuesday, July 20, 2010 - 3:21:45 PM
Last modification on : Wednesday, June 24, 2020 - 4:18:51 PM

Identifiers

  • HAL Id : emse-00504425, version 1

Citation

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⟩

Share

Metrics

Record views

160