On the modulating effect of three-dimensional instabilities in open cavity flows
Identifieur interne : 004034 ( Main/Exploration ); précédent : 004033; suivant : 004035On the modulating effect of three-dimensional instabilities in open cavity flows
Auteurs : J. Basley [France, Australie] ; L. R. Pastur [France] ; F. Lusseyran [France] ; J. Soria [Australie, Arabie saoudite] ; N. Delprat [France]Source :
- Journal of Fluid Mechanics [ 0022-1120 ] ; 2014.
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Abstract
Open cavity flows are known to select and enhance locked-on modes or tones. High-energy self-sustained oscillations arise within the shear layer, impinging onto the trailing edge of the cavity. These self-sustained oscillations are subject to amplitude modulations (AMs) at multiple low frequencies. However, only a few studies have addressed the identification of the lowest modulating frequencies. The present work brings to light salient AMs of the shear layer waves and identifies their source as three-dimensional dynamics existing inside the cavity. Indeed, the recirculating inner flow gives rise to centrifugal instabilities, which entail broad-band frequencies down two orders of magnitude lower than those of the self-sustained oscillations. Using time-resolved PIV (TRPIV) in two planes, the nonlinearly saturated dynamics is analysed in both space and time by means of proper orthogonal decomposition, global Fourier decomposition and Hilbert-Huang transforms. The inner flow can be decomposed as three-dimensional waves carried by the main recirculation. Bicoherence distributions are computed to highlight the nonlinear interactions between these spanwise-travelling waves inside the cavity and the locked-on modes. The modulated envelope of the shear layer oscillations is extracted and investigated with regards to the inner-flow dynamics. Strong cross-correlations, in time rather than in space, reveal a global coupling mechanism, possibly related to the beating of the spanwise-travelling waves.
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Basley</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>CNRS, Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI)</s1><s2>91403 Orsay</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>5 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Île-de-France</region><settlement type="city">Orsay</settlement></placeName></affiliation><affiliation wicri:level="3"><inist:fA14 i1="02"><s1>Univ. 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Pastur</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>CNRS, Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI)</s1><s2>91403 Orsay</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>5 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>91403 Orsay</wicri:noRegion><wicri:noRegion>Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI)</wicri:noRegion><wicri:noRegion>91403 Orsay</wicri:noRegion></affiliation><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Univ. Paris-Sud</s1><s2>91405 Orsay</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>91405 Orsay</wicri:noRegion><wicri:noRegion>Univ. Paris-Sud</wicri:noRegion><wicri:noRegion>Univ. Paris-Sud</wicri:noRegion></affiliation></author><author><name sortKey="Lusseyran, F" sort="Lusseyran, F" uniqKey="Lusseyran F" first="F." last="Lusseyran">F. Lusseyran</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>CNRS, Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI)</s1><s2>91403 Orsay</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>5 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>91403 Orsay</wicri:noRegion><wicri:noRegion>Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI)</wicri:noRegion><wicri:noRegion>91403 Orsay</wicri:noRegion></affiliation></author><author><name sortKey="Soria, J" sort="Soria, J" uniqKey="Soria J" first="J." last="Soria">J. Soria</name><affiliation wicri:level="1"><inist:fA14 i1="03"><s1>Laboratory for Turbulence Research in Aerospace and Combustion (LTRAC), Department of Mechanical and Aerospace Engineering, Monash University</s1><s2>Victoria, 3800</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Victoria, 3800</wicri:noRegion></affiliation><affiliation wicri:level="1"><inist:fA14 i1="04"><s1>Department of Aeronautical Engineering, King Abdulaziz University</s1><s2>Jeddah</s2><s3>SAU</s3><sZ>4 aut.</sZ></inist:fA14><country>Arabie saoudite</country><wicri:noRegion>Jeddah</wicri:noRegion></affiliation></author><author><name sortKey="Delprat, N" sort="Delprat, N" uniqKey="Delprat N" first="N." last="Delprat">N. Delprat</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>CNRS, Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI)</s1><s2>91403 Orsay</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>5 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>91403 Orsay</wicri:noRegion><wicri:noRegion>Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI)</wicri:noRegion><wicri:noRegion>91403 Orsay</wicri:noRegion></affiliation><affiliation wicri:level="1"><inist:fA14 i1="05"><s1>Sorbonne Universités, UPMC Univ. Paris 6, UFR d'Ingénierie</s1><s2>75005 Paris</s2><s3>FRA</s3><sZ>5 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>75005 Paris</wicri:noRegion><placeName><settlement type="city">Paris</settlement><region type="région" nuts="2">Île-de-France</region></placeName></affiliation></author></analytic><series><title level="j" type="main">Journal of Fluid Mechanics</title><title level="j" type="abbreviated">J. Fluid Mech.</title><idno type="ISSN">0022-1120</idno><imprint><date when="2014">2014</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Journal of Fluid Mechanics</title><title level="j" type="abbreviated">J. Fluid Mech.</title><idno type="ISSN">0022-1120</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Aeroacoustics</term><term>Cavity resonator</term><term>Eigenfunction</term><term>Experimental study</term><term>Hydrodynamic instability</term><term>Orthogonal function</term><term>Particle image velocimetry</term><term>Shear layer</term><term>Speed measurement</term><term>Swirling flow</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Instabilité hydrodynamique</term><term>Ecoulement tourbillonnaire</term><term>Aéroacoustique</term><term>Résonateur cavité</term><term>Fonction orthogonale</term><term>Fonction propre</term><term>Etude expérimentale</term><term>Vélocimétrie image particule</term><term>Mesure vitesse</term><term>Couche cisaillée</term><term>4328</term><term>4720F</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Open cavity flows are known to select and enhance locked-on modes or tones. High-energy self-sustained oscillations arise within the shear layer, impinging onto the trailing edge of the cavity. These self-sustained oscillations are subject to amplitude modulations (AMs) at multiple low frequencies. However, only a few studies have addressed the identification of the lowest modulating frequencies. The present work brings to light salient AMs of the shear layer waves and identifies their source as three-dimensional dynamics existing inside the cavity. Indeed, the recirculating inner flow gives rise to centrifugal instabilities, which entail broad-band frequencies down two orders of magnitude lower than those of the self-sustained oscillations. Using time-resolved PIV (TRPIV) in two planes, the nonlinearly saturated dynamics is analysed in both space and time by means of proper orthogonal decomposition, global Fourier decomposition and Hilbert-Huang transforms. The inner flow can be decomposed as three-dimensional waves carried by the main recirculation. Bicoherence distributions are computed to highlight the nonlinear interactions between these spanwise-travelling waves inside the cavity and the locked-on modes. The modulated envelope of the shear layer oscillations is extracted and investigated with regards to the inner-flow dynamics. Strong cross-correlations, in time rather than in space, reveal a global coupling mechanism, possibly related to the beating of the spanwise-travelling waves.</div></front></TEI><affiliations><list><country><li>Arabie saoudite</li><li>Australie</li><li>France</li></country><region><li>Île-de-France</li></region><settlement><li>Orsay</li><li>Paris</li></settlement></list><tree><country name="France"><region name="Île-de-France"><name sortKey="Basley, J" sort="Basley, J" uniqKey="Basley J" first="J." last="Basley">J. Basley</name></region><name sortKey="Basley, J" sort="Basley, J" uniqKey="Basley J" first="J." last="Basley">J. Basley</name><name sortKey="Delprat, N" sort="Delprat, N" uniqKey="Delprat N" first="N." last="Delprat">N. Delprat</name><name sortKey="Delprat, N" sort="Delprat, N" uniqKey="Delprat N" first="N." last="Delprat">N. Delprat</name><name sortKey="Lusseyran, F" sort="Lusseyran, F" uniqKey="Lusseyran F" first="F." last="Lusseyran">F. Lusseyran</name><name sortKey="Pastur, L R" sort="Pastur, L R" uniqKey="Pastur L" first="L. R." last="Pastur">L. R. Pastur</name><name sortKey="Pastur, L R" sort="Pastur, L R" uniqKey="Pastur L" first="L. R." last="Pastur">L. R. Pastur</name></country><country name="Australie"><noRegion><name sortKey="Basley, J" sort="Basley, J" uniqKey="Basley J" first="J." last="Basley">J. Basley</name></noRegion><name sortKey="Soria, J" sort="Soria, J" uniqKey="Soria J" first="J." last="Soria">J. Soria</name></country><country name="Arabie saoudite"><noRegion><name sortKey="Soria, J" sort="Soria, J" uniqKey="Soria J" first="J." last="Soria">J. 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