https://doi.org/10.1140/epjb/e2007-00057-y
Dynamics of a circular array of liquid columns
Dynamics of an array of liquid columns
1
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH) UMR 7636 of CNRS, ESPCI, 10 rue Vauquelin, 75005 Paris, France
2
Saint-Gobain Recherche, 39 quai Lucien Lefranc., 93303 Aubervilliers Cedex, France
3
Laboratoire Matière et Systèmes Complexes, UMR of CNRS, University Paris 7, 2 Place Jussieu, 75005 Paris, France
Corresponding author: a p.brunet@bristol.ac.uk
Received:
5
July
2006
Revised:
7
February
2007
Published online:
2
March
2007
We report on an experimental study of an array of liquid columns, hanging below an overflowing circular dish fed at a constant flow-rate. This one-dimensional pattern exhibits spatio-temporal chaos as well as a host of ordered dynamical regimes, depending on flow-rate, initial positions, number of columns, and liquid properties. In this paper, we present stability diagrams obtained with liquids of different properties and an extensive quantitative study of the ordered, predictable dynamical states. Some destabilization mechanisms of these regimes are also presented.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 47.20.Lz – Secondary instabilities / 47.20.Ma – Interfacial instabilities (e.g., Rayleigh-Taylor)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007