Interface equations for capillary rise in random environment

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2006
Major/Subject
Mcode
Degree programme
Language
en
Pages
041601/1-11
Series
Physical Review E, Volume 74, Issue 4
Abstract
We consider the influence of quenched noise upon interface dynamics in two-dimensional (2D) and 3D capillary rise with rough walls by using a phase-field approach, where the local conservation of mass in the bulk is explicitly included. In the 2D case, the disorder is assumed to be in the effective mobility coefficient, while in the 3D case we explicitly consider the influence of locally fluctuating geometry along a solid wall using a generalized curvilinear coordinate transformation. To obtain the equations of motion for meniscus andcontact lines, we develop a systematic projection formalism that allows inclusion of disorder. Using this formalism, we derive linearized equations of motion for the meniscus and contact line variables, which become local in the Fourier space representation. These dispersion relations contain effective noise that is linearly proportional to the velocity. The deterministic parts of our dispersion relations agree with results obtained from other similar studies in the proper limits. However, the forms of the noise terms derived here are quantitatively different from the other studies.
Description
Keywords
random media, interface dynamics, fluctuation phenomena
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Citation
Laurila, T. & Tong, C. & Majaniemi, S. & Ala-Nissilä, Tapio. 2006. Interface equations for capillary rise in random environment. Physical Review E. Volume 74, Issue 4. P. 041601/1-11. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.74.041601.