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- Title
Transition to instability of a phase interface in a porous medium in the isothermal approximation.
- Authors
Odintsova, V.
- Abstract
The stability of the phase interface in geothermal systems is considered in the isothermal approximation with allowance for capillary effects. The dispersion relation is obtained and the domains of stability and instability of steady-state vertical flows are found. Possible types of transition to instability, namely, transitions with the most unstable mode corresponding to zero and infinite wavenumbers or to all wavenumbers simultaneously, are described. In the first case the nonlinear Kolmogorov-Petrovskii-Piskunov equation describing the evolution of a narrow strip of weakly unstable modes on the stability threshold is derived. The effect of the parameters of the system on its stability is investigated.
- Subjects
POROUS materials; DISPERSION relations; TRANSITION flow; FLUID dynamics; STABILITY (Mechanics)
- Publication
Fluid Dynamics, 2009, Vol 44, Issue 1, p103
- ISSN
0015-4628
- Publication type
Article
- DOI
10.1134/S0015462809010104