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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v24.i1-3.190
pages 189-197

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

J. Godelle
Laboratoire d'Energétique des Systèmes et Precédés, UMR CNRS 6614 - CORIA, B.P. 8 Place Emile Blondel, 76131 Mont-Saint-Aignan Cédex - FRANCE
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
University of Rouen
M. Ledoux
CORIA-UMR CNRS 6614, Universite de Rouen, Site du Madrillet Avenue de l’Universite, BP12 76801 Saint Etienne du Rouvray cedex, France

SINOPSIS

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.