Ann. Phys. Fr.
Volume 19, Number 6, 1994
|Page(s)||659 - 690|
|Published online||01 June 2004|
Dynamiques interfaciales dans l'instabilité de l'imprimeur
Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, associé au CNRS et aux Universités Paris VI et V, 24 rue Lhomond, 75231 Paris cedex 05, France
2 Laboratoire F.A.S.T., associé au CNRS et aux Universités Paris VI et XI, Bât. 502, Campus Universitaire, 91405 Orsay cedex, France
Roll coating and ribbing instabilities have been known for a long time. It is only recently that these front instabilities appeared as good experimental systems for the study of the non linear dynamics of extended one dimensional systems. We present experimental investigations of this instability in the so called Printer's geometry. First the experimental set-up, the basic flow, the menisci positions and the linear analysis of the instability are described. Then we expose the interfacial dynamics (permanent or transient) when one cylinder is at rest and for rigid or open boundary conditions. In particular a new state of self-oscillation of the pattern is presented. After that the behaviours of the interface are briefly described when both cylinders are rotating: chaotic, intermittent and propagative states. Finally we also present a new instability of the upstream meniscus.
PACS : 4720 – Hydrodynamic stability and instability / 0547 – Nonlinear dynamical systems and bifurcations / 0545 – Theory and models of chaotic systems / 6810 – Fluid surfaces and interfaces with fluids
Key words: chaos / flow instability / interface phenomena / nonlinear dynamical systems / printing / printer instability / roll coating instability / ribbing instability / front instabilities / interface dynamics / nonlinear dynamics / extended one dimensional systems / Printer's geometry / self oscillation / cylinders / chaotic state / intermittent state / propagative state / meniscus
© EDP Sciences, 1994