Abstract
Evaporation and gravity induced pinning in spontaneous imbibition are examined within a phase field formalism. Evaporation is introduced via a nonconserving term and gravity through a convective term that constrains the influx of liquid. Their effects are described by dimensionless coupling constants and g, respectively. From liquid conservation, the early time behavior of the average interface position follows until a crossover time After that the pinning height is approached exponentially in time, in accordance with mean field theory. The statistical roughness of the interface is described by an exponent at all stages of the rise, but the dynamic length scale controlling roughness crosses over from to a time independent pinning length scale
- Received 1 May 2001
DOI:https://doi.org/10.1103/PhysRevE.64.051605
©2001 American Physical Society