Thin film dynamics on a vertically rotating disk partially immersed in a liquid bath
| dc.creator | Afanasiev, K. | |
| dc.creator | Münch, A. | |
| dc.creator | Wagner, B. | |
| dc.date | 2006-05-14 | |
| dc.date | 2007-06-02 | |
| dc.date.accessioned | 2026-07-07T08:08:59Z | |
| dc.date.available | 2026-07-07T08:08:59Z | |
| dc.description | The axisymmetric flow of a thin liquid film is considered for the problem of a vertically rotating disk that is partially immersed in a liquid bath. A model for the fully three-dimensional free-boundary problem of the rotating disk, that drags a thin film out of the bath is set up. From this, a dimension-reduced extended lubrication approximation that includes the meniscus region is derived. This problem constitutes a generalization of the classic drag-out and drag-in problem to the case of axisymmetric flow. The resulting nonlinear fourth-order partial differential equation for the film profile is solved numerically using a finite element scheme. For a range of parameters steady states are found and compared to asymptotic solutions. Patterns of the film profile, as a function of immersion depth and angular velocity are discussed. | |
| dc.description | 31 pages, 19 figures accepted: Applied Mathematical Modelling | |
| dc.identifier | https://arxiv.org/abs/physics/0605109 | |
| dc.identifier | http://arxiv.org/abs/physics/0605109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131451 | |
| dc.subject | Fluid Dynamics | |
| dc.subject | Computational Physics | |
| dc.title | Thin film dynamics on a vertically rotating disk partially immersed in a liquid bath | |
| dc.type | text |