Fluid Dynamics

, Volume 42, Issue 5, pp 773–783 | Cite as

Hydrodynamic stability of evaporation fronts in porous media

  • A. A. Afanas’ev
  • A. A. Barmin
  • O. E. Melnik
Article

Abstract

The stability of phase transition fronts in water flows through porous media is considered. In the short-wave approximation a linear stability analysis is carried out and a sufficient condition of hydrodynamic instability of the phase discontinuity is proposed. The problem of injection of a water-vapor mixture into a two-dimensional mixture-saturated formation is solved and its numerical solution is compared with an exact solution of the corresponding one-dimensional self-similar problem. It is discovered that, instead of the unstable discontinuities in the one-dimensional formulation, in the two-dimensional case a lengthy mixing zone with a characteristic scale that increases self-similarly with time is formed.

Keywords

flow through porous media discontinuities phase transitions hydrodynamic stability Saffman-Taylor instability 

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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • A. A. Afanas’ev
  • A. A. Barmin
  • O. E. Melnik

There are no affiliations available

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