Chemical instabilities and "shocks" in a non linear convection problem issued from geology - Mines Saint-Étienne Access content directly
Book Sections Year : 1984

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.
No file

Dates and versions

emse-00504425 , version 1 (20-07-2010)

Identifiers

  • HAL Id : emse-00504425 , version 1

Cite

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⟩
79 View
0 Download

Share

Gmail Facebook X LinkedIn More