We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Linear instability of ultra-thin liquid films flowing down cylindrical fibre.
- Authors
Zhao, Lu-hai-bo; Hu, Guo-hui; Zhou, Zhe-wei
- Abstract
The stability characteristics of an ultra-thin layer of a viscous liquid flowing down a cylindrical fibre are investigated by a linear theory. The film with the thickness less than 100 nm is driven by an external force and under the influence of the van der Waals forces. The results show that, when the relative film thickness decreases, the curvature of the fibre depresses the development of the linear perturbations, whereas the van der Waals forces promote the instabilities. This competition results in a non-monotonous dependence of the growth rate on the relative film thickness. The critical curves are also obtained to describe the transition from the absolute instability to the convective instability, indicating that the van der Waals forces can enlarge the absolutely unstable region. Furthermore, the surface tension can cause the development of the absolute instability, whereas the external force has an opposite effect.
- Subjects
LIQUID films; FLUID dynamics; FIBERS; VAN der Waals forces; VISCOSITY solutions; THICKNESS measurement; STABILITY (Mechanics)
- Publication
Applied Mathematics & Mechanics, 2011, Vol 32, Issue 2, p133
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-011-1400-x