Interface pinning in spontaneous imbibition

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2001
Major/Subject
Mcode
Degree programme
Language
en
Pages
051605/1-6
Series
Physical Review E, Volume 64, Issue 5
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 ε and g, respectively. From liquid conservation, the early time behavior of the average interface position follows H(t)∼t1/2 until a crossover time t*(g,ε). After that the pinning height Hp(g,ε) is approached exponentially in time, in accordance with mean field theory. The statistical roughness of the interface is described by an exponent χ≃1.25 at all stages of the rise, but the dynamic length scale controlling roughness crosses over from ξ×∼H1/2 to a time independent pinning length scale ξp(ε,g).
Description
Keywords
pinning, spontaneous imbibition, evaporation, gravity, interfaces, roughness
Other note
Citation
Dubé, M. & Majaniemi, S. & Rost, M. & Alava, M. J. & Elder, K. R. & Ala-Nissilä, Tapio. 2001. Interface pinning in spontaneous imbibition. Physical Review E. Volume 64, Issue 5. P. 051605/1-6. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.64.051605.