Whirling skirts and rotating cones

Abstract : Steady, dihedrally symmetric patterns with sharp peaks may be observed on a spinning skirt, lagging behind the material flow of the fabric. These qualitative features are captured with a minimal model of traveling waves on an inextensible, flexible, generalized-conical sheet rotating about a fixed axis. Conservation laws are used to reduce the dynamics to a quadrature describing a particle in a three-parameter family of potentials. One parameter is associated with the stress in the sheet, another is the Noether current associated with rotational invariance and the third is a Rossby number which indicates the relative strength of Coriolis forces. Solutions are quantized by enforcing a topology appropriate to a skirt and a particular choice of dihedral symmetry. A perturbative analysis of nearly axisymmetric cones shows that Coriolis effects are essential in establishing skirt-like solutions. Fully nonlinear solutions with three-fold symmetry are presented which bear a suggestive resemblance to the observed patterns.
Type de document :
Article dans une revue
New Journal of Physics, Institute of Physics: Open Access Journals, 2013, 15, 〈10.1088/1367-2630/15/11/113055〉
Liste complète des métadonnées

Littérature citée [21 références]  Voir  Masquer  Télécharger

Contributeur : Lcp-A2mc Ul <>
Soumis le : mardi 25 avril 2017 - 11:13:50
Dernière modification le : jeudi 15 mars 2018 - 01:34:05
Document(s) archivé(s) le : mercredi 26 juillet 2017 - 13:14:30


Fichiers éditeurs autorisés sur une archive ouverte



Jemal Guven, J. A. Hanna, Martin Michael Mueller. Whirling skirts and rotating cones. New Journal of Physics, Institute of Physics: Open Access Journals, 2013, 15, 〈10.1088/1367-2630/15/11/113055〉. 〈hal-01513425〉



Consultations de la notice


Téléchargements de fichiers