Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-01-20
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1103/PhysRevE.74.041601
We consider the influence of quenched noise upon interface dynamics in 2D and 3D capillary rise with rough walls by using 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 and contact lines, we develop a systematic projection formalism which 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.
Ala-Nissila Tapio
Laurila Tuomas
Majaniemi Sami
Tong Chaohui
No associations
LandOfFree
Interface Equations for Capillary Rise in Random Environment does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Interface Equations for Capillary Rise in Random Environment, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interface Equations for Capillary Rise in Random Environment will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-10119