Dynamics of water evaporation fronts. Computational Mathematics and Mathematical Physics Volume 53, Issue 9, September 2013, Pages 1350-1370

The evolution and shapes of water evaporation fronts caused by long-wave instability of vertical flows with a phase transition in extended two-dimensional horizontal porous domains are analyzed numerically. The plane surface of the phase transition loses stability when the wave number becomes infinite or zero. In the latter case, the transition to instability is accompanied with reversible bifurcations in a subcritical neighborhood of the instability threshold and by the formation of secondary (not necessarily horizontal homogeneous) flows. An example of motion in a porous medium is considered concerning the instability of a water layer lying above a mixture of air and vapor filling a porous layer under isothermal conditions in the presence of capillary forces acting on the phase transition interface.
Author keywords
bifurcation; diffusion; humidity; Kolmogorov-Petrovskii-Piskunov equation; numerical method; phase transition; porous medium; stability; water evaporation front