Issue |
Europhys. Lett.
Volume 52, Number 5, December I 2000
|
|
---|---|---|
Page(s) | 532 - 538 | |
Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
DOI | https://doi.org/10.1209/epl/i2000-00470-4 | |
Published online | 01 September 2002 |
Folding of viscous sheets and filaments
1
Departments of Physics,
Massachusetts Institute of Technology 77 Mass. Ave., Cambridge, MA 02139, USA
2
Department of Mechanical Engineering, Massachusetts Institute of Technology 77 Mass.
Ave., Cambridge, MA 02139, USA
Corresponding author: l_m@mit.edu
Received:
26
June
2000
Accepted:
4
October
2000
We consider the nonlinear folding behavior of a viscous filament or a sheet under the influence of an external force such as gravity. Everyday examples of this phenomenon are provided by the periodic folding of a sheet of honey as it impinges on toast, or the folding of a stream of shampoo as it falls on one's hand. To understand the evolution of a fold, we formulate and solve a free-boundary problem for the phenomenon, give scaling laws for the size of the folds and the frequency with which they are laid out, and verify these experimentally.
PACS: 47.20.Gv – Viscous instability / 91.45.Ty – Folds and Folding / 47.50.+d – Non-Newtonian fluid flows
© EDP Sciences, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.