The elastic behavior of viscous fluids
L. Mahadevan
Lab de Physico-Chimie Theorique, E.S.P.C.I.,
10 rue Vauquelin, 75231 Paris Cedex 05,
France
Abstract:
It is well known that slender elastic filaments and sheets buckle by
bending when compressive forces on them exceed a critical threshold.
In fact, this type of behavior is also seen in thin layer creeping
flows of liquids; an everyday example is evident in the behavior of a
stream of honey coiling onto toast. Following demonstrations of
folding, coiling and wrinkling patterns in thin layer flows of
fluids, I will discuss these pseudo-elastic behaviors and show that
they can be explained using geometry and an analogy due to Rayleigh.