Volume 52, Number 5, December I 2000
|Page(s)||532 - 538|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
Folding of viscous sheets and filaments
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: firstname.lastname@example.org
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
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