ICLASS 97
Proceedings of the Seventh International Conference on Liquid Atomization and Spray Systems

ISBN Print: 89-950039-2-8

Use of the Theory of Nonlinear Dynamical Systems to Study the Growth of Perturbations in an Excited Water Jet

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DOI: 10.1615/ICLASS-97.140
pages 117-124

J. Godelle Laboratoire d'Energétique des Systèmes et Precédés, UMR CNRS 6614 - CORIA, B.P. 8 Place Emile Blondel

C. Letellier INSA of Rouen - LEPS - UMR 6614 - CORIA Place Emile Blondel - 76131 Mont Saint Aignan Cedex - France

G. Gouesbet Laboratoire d'Energetique des Systemes et Precedes (LESP), UMR CNRS 6614, CORIA, INSA de Rouen, and University of Rouen, Mont-Saint-Aignan Cedex, France

J. N. Le Toulouzan Laboratoire d'Energétique des Systèmes et Precédés, UMR CNRS 6614 - CORIA, B.P. 8 Place Emile Blondel, 76131 Mont-Saint-Aignan Cédex - FRANCE

Gerard Grehan CORIA, Universite de Rouen, Site Universitaire du Madrillet BP 12 76801 Saint Etienne du Rouvray, France

Christophe Dumouchel Université et INSA de Rouen, France

S. Leroux URA 230 CNRS/CORIA, Mon-Saint-Aignan Cedex, France

Jean-Bernard Blaisot CORIA-UMR 6614—Normandie Universite, CNRS-Universite et INSA de Rouen, Campus Universitaire du Madrillet, 76800 Saint Etienne du Rouvray, France

M. Ledoux CORIA-UMR CNRS 6614, Universite de Rouen, Site du Madrillet Avenue de l’Universite, BP12 76801 Saint Etienne du Rouvray cedex, France

Résumé

An excited cylindrical water jet is studied by using a laser beam technique for jet shape characterizations. A laser sheet is scattered by a jet allowing to record highly-sampled time series to track the evolution of the jet diameter. With such a technique, the perturbation growth of an excited water jet is investigated from the needle to break-up. Time series are analyzed with tools borrowed to the theory of nonlinear dynamical systems. We then show that the growth of modes close to those predicted by the Rayleigh theory arises when the perturbations due to the exciting system have vanished.

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