Geodesic
On the behavior of a large scale tumbling vortex flow submitted to compression
J. Borée1 ; D. Marc1 ; R. Bazile2 ; B. Lecordier2
1 I.M.F.T. ; UMR CNRS/INPT-UPS 5502 Allée du Professeur Camille Soula 31400 TOULOUSE, France
2 CORIA ; UMR 6614 CNRS-Université & INSA de Rouen, 76821 Mont Saint Aignan, France
ESAIM. Proceedings, Tome 7 (1999), pp. 56-65.

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An analysis of the disruption of a compressed tumbling vortex is proposed here. This situation is typical of in-cylinder flows developing in combustion chambers of premixed spark ignition engines. In an inviscid fluid, we discuss analytically the motion of a point vortex of constant intensity submitted to compression in a time dependant rectangular domain. A relevant non-dimensional number comparing the vortex time scale and the compression time scale is obtained. We show that the compression unsteadiness is expected to delay the viscous response of the near-wall flow. The temporal evolution of a tumbling motion is then measured with high-speed particle image velocimetry in a model square piston compression machine. The experimental set-up and the measurement procedure are presented. The data provide a clear picture of the evolution and disruption of the compressed vortex. A physical analysis is proposed and we prove that elliptical instability and interaction with walls are the main mechanisms that lead to the generation of a three-dimensional unstructured velocity field.
DOI : 10.1051/proc:1999006

J. Borée 1 ; D. Marc 1 ; R. Bazile 2 ; B. Lecordier 2

1 I.M.F.T. ; UMR CNRS/INPT-UPS 5502 Allée du Professeur Camille Soula 31400 TOULOUSE, France
2 CORIA ; UMR 6614 CNRS-Université & INSA de Rouen, 76821 Mont Saint Aignan, France 
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     author = {J. Bor\'ee and D. Marc and R. Bazile and B. Lecordier},
     title = {On the behavior of a large scale tumbling vortex flow submitted to compression},
     journal = {ESAIM. Proceedings},
     pages = {56--65},
     publisher = {mathdoc},
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     year = {1999},
     doi = {10.1051/proc:1999006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1999006/}
}
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J. Borée; D. Marc; R. Bazile; B. Lecordier. On the behavior of a large scale tumbling vortex flow submitted to compression. ESAIM. Proceedings, Tome 7 (1999), pp. 56-65. doi : 10.1051/proc:1999006. http://geodesic.mathdoc.fr/articles/10.1051/proc:1999006/

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