Symmetry and self-similarity in rupture and pinchoff: A geometric bifurcation

Journal Article (Journal Article)

Long-wavelength models for van der Waals driven rupture of a free thin viscous sheet and for capillary pinchoff of a viscous fluid thread both give rise to families of first-type similarity solutions. The scaling exponents in these solutions are independent of the dimensionality of problem. However, the structure of the similarity solutions exhibits an intriguing geometric dependence on the dimensionality of the system: van der Waals driven sheet rupture proceeds symmetrically, whereas thread rupture is inherently asymmetric. To study the bifurcation of rupture from symmetric to asymmetric forms, we generalize the governing equations with the dimension serving as a control parameter. The bifurcation is governed by leading-order inviscid dynamics in which viscous effects are asymptotically small but nevertheless provide the selection mechanism.

Full Text

Duke Authors

Cited Authors

  • Vaynblat, D; Lister, JR; Witelski, TP

Published Date

  • December 1, 2001

Published In

Volume / Issue

  • 12 / 3

Start / End Page

  • 209 - 232

International Standard Serial Number (ISSN)

  • 0956-7925

Digital Object Identifier (DOI)

  • 10.1017/S0956792501004375

Citation Source

  • Scopus