The effect of contact lines on the Rayleigh instability with anisotropic surface energy

K. F. Gurski*, G. B. McFadden, M. J. Miksis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We determine the linear stability of a rod or wire on a substrate subject to capillary forces arising from an anisotropic surface energy for a range of contact angles between -π/2 and π/2. The unperturbed rod is assumed to have infinite length with a uniform cross-section given by a portion of the two-dimensional equilibrium shape. We examine the effect of surface perturbations on the total energy. The stability of the equilibrium interface is reduced to determining the eigenvalues of a coupled system of ordinary differential equations. This system is solved both asymptotically and numerically for several types of anisotropic surface energies. We find that, in general, the presence of the substrate tends to stabilize the rod.

Original languageEnglish (US)
Pages (from-to)1163-1167
Number of pages5
JournalSIAM Journal on Applied Mathematics
Volume66
Issue number4
DOIs
StatePublished - Aug 21 2006

Keywords

  • Anisotropic surface energy
  • Contact lines
  • Nanowires
  • Plateau
  • Quantum wires
  • Rayleigh instability

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'The effect of contact lines on the Rayleigh instability with anisotropic surface energy'. Together they form a unique fingerprint.

Cite this