Interface pinning in spontaneous imbibition
Loading...
Access rights
openAccess
publishedVersion
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Date
Department
Major/Subject
Mcode
Degree programme
Language
en
Pages
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 epsilon and g, respectively. From liquid conservation, the early time behavior of the average interface position follows H(t)similar tot(1/2) until a crossover time t*(g, epsilon). After that the pinning height H-p(g,epsilon) is approached exponentially in time, in accordance with mean field theory. The statistical roughness of the interface is described by an exponent chi similar or equal to 1.25 at all stages of the rise, but the dynamic length scale controlling roughness crosses over from xi (x)similar toH(1/2) to a time independent pinning length scale xi (p)(epsilon ,g).Description
Other note
Citation
Dube , M , Majaniemi , S , Rost , M , Alava , MJ , Elder , KR & Ala-Nissilä , T 2001 , ' Interface pinning in spontaneous imbibition ' , Physical Review E , vol. 64 , no. 5 , 051605 , pp. 1-6 . https://doi.org/10.1103/PhysRevE.64.051605