Kinematics and dynamics of sphere wake transition
Identifieur interne :
005B64 ( PascalFrancis/Corpus );
précédent :
005B63;
suivant :
005B65
Kinematics and dynamics of sphere wake transition
Auteurs : M. C. Thompson ;
T. Leweke ;
M. ProvansalSource :
-
Journal of fluids and structures [ 0889-9746 ] ; 2001.
RBID : Pascal:01-0326559
Descripteurs français
- Pascal (Inist)
- Cinématique,
Dynamique,
Sphère,
Sillage,
Transition laminaire turbulente,
Ecoulement tourbillonnaire,
Ecoulement transition,
Détachement tourbillonnaire,
Coudure,
Modèle Landau,
Bifurcation Hopf,
Modélisation,
Vorticité,
Précurseur,
4727V.
English descriptors
- KwdEn :
- Dynamics,
Hopf bifurcation,
Kinematics,
Kinking,
Landau model,
Modelling,
Precursor,
Spheres,
Transition flow,
Turbulent laminar transition,
Vortex flow,
Vortex shedding,
Vorticity,
Wakes.
Abstract
The wake of a sphere undergoes a number of symmetry-breaking transitions as it changes from laminar to turbulent. This paper concentrates on the first two transitions. At Re = 212 a regular transition occurs, when the wake develops a spectacular two-tailed structure consisting of two trailing streamwise vortices. During the second transition at Re = 272 the flow undergoes a Hopf bifurcation. In this case there is a complex interaction between the trailing vortices leading to the periodic shedding of vortex loops. Both these transitions are shown to be supercritical (or nonhysteretic). Landau models are constructed for both transitions and the coefficients determined. The visual impression of an apparently sudden bifurcation to the two-tailed wake is shown to be due to the focal nature of the trailing vortices, which draws dye into the cores, even if their net circulation is small. A precursor to the second transition to the periodic wake is strong kinking of the trailing vortices about 1 diameter downstream from the back of the sphere. The vorticity structure of the two-tailed wake prior to transition is also quantified which may prove useful for development of models of the transition process.
Notice en format standard (ISO 2709)
Pour connaître la documentation sur le format Inist Standard.
| pA |
| A01 | 01 | 1 | | @0 0889-9746 |
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| A02 | 01 | | | @0 JFSTEF |
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| A03 | | 1 | | @0 J. fluids struct. |
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| A05 | | | | @2 15 |
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| A06 | | | | @2 3-4 |
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| A08 | 01 | 1 | ENG | @1 Kinematics and dynamics of sphere wake transition |
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| A09 | 01 | 1 | ENG | @1 Bluff Body Wakes and Vortex - Induced Vibrations |
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| A11 | 01 | 1 | | @1 THOMPSON (M. C.) |
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| A11 | 02 | 1 | | @1 LEWEKE (T.) |
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| A11 | 03 | 1 | | @1 PROVANSAL (M.) |
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| A12 | 01 | 1 | | @1 LEWEKE (Thomas) @9 ed. |
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| A12 | 02 | 1 | | @1 BEARMAN (Peter W.) @9 ed. |
|---|
| A12 | 03 | 1 | | @1 WILLIAMSON (Charles H. K.) @9 ed. |
|---|
| A14 | 01 | | | @1 Department of Mechanical Engineering, Monash University @2 Clayton, VIC 3800 @3 AUS @Z 1 aut. |
|---|
| A14 | 02 | | | @1 Institut de Recherche sur les Phénomènes Hors Equilibre, 49, rue Frédéric Joliot-Curie, B.P. 146 @2 13384 Marseille @3 FRA @Z 2 aut. @Z 3 aut. |
|---|
| A15 | 01 | | | @1 IRPHE/CNRS @3 FRA @Z 1 aut. |
|---|
| A15 | 02 | | | @1 Department of Aeronautics, Imperial College of Science, Technology and Medicine, Prince Consort Road @2 London SW7 2BY @3 GBR @Z 2 aut. |
|---|
| A15 | 03 | | | @1 Sibley School of Mechanical & Aerospace Engineering, Upson Hall, Cornell University @2 Ithaca NY 14853-7501 @3 USA @Z 3 aut. |
|---|
| A18 | 01 | 1 | | @1 International Union of Theoretical and Applied Mechanics (IUTAM) @3 INT @9 patr. |
|---|
| A20 | | | | @1 575-585 |
|---|
| A21 | | | | @1 2001 |
|---|
| A23 | 01 | | | @0 ENG |
|---|
| A43 | 01 | | | @1 INIST @2 21394 @5 354000095616070170 |
|---|
| A44 | | | | @0 0000 @1 © 2001 INIST-CNRS. All rights reserved. |
|---|
| A45 | | | | @0 18 ref. |
|---|
| A47 | 01 | 1 | | @0 01-0326559 |
|---|
| A60 | | | | @1 P @2 C |
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| A61 | | | | @0 A |
|---|
| A64 | 01 | 1 | | @0 Journal of fluids and structures |
|---|
| A66 | 01 | | | @0 GBR |
|---|
| C01 | 01 | | ENG | @0 The wake of a sphere undergoes a number of symmetry-breaking transitions as it changes from laminar to turbulent. This paper concentrates on the first two transitions. At Re = 212 a regular transition occurs, when the wake develops a spectacular two-tailed structure consisting of two trailing streamwise vortices. During the second transition at Re = 272 the flow undergoes a Hopf bifurcation. In this case there is a complex interaction between the trailing vortices leading to the periodic shedding of vortex loops. Both these transitions are shown to be supercritical (or nonhysteretic). Landau models are constructed for both transitions and the coefficients determined. The visual impression of an apparently sudden bifurcation to the two-tailed wake is shown to be due to the focal nature of the trailing vortices, which draws dye into the cores, even if their net circulation is small. A precursor to the second transition to the periodic wake is strong kinking of the trailing vortices about 1 diameter downstream from the back of the sphere. The vorticity structure of the two-tailed wake prior to transition is also quantified which may prove useful for development of models of the transition process. |
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| C02 | 01 | 3 | | @0 001B40G27V |
|---|
| C03 | 01 | 3 | FRE | @0 Cinématique @5 01 |
|---|
| C03 | 01 | 3 | ENG | @0 Kinematics @5 01 |
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| C03 | 02 | 3 | FRE | @0 Dynamique @5 02 |
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| C03 | 02 | 3 | ENG | @0 Dynamics @5 02 |
|---|
| C03 | 03 | 3 | FRE | @0 Sphère @5 03 |
|---|
| C03 | 03 | 3 | ENG | @0 Spheres @5 03 |
|---|
| C03 | 04 | 3 | FRE | @0 Sillage @5 04 |
|---|
| C03 | 04 | 3 | ENG | @0 Wakes @5 04 |
|---|
| C03 | 05 | 3 | FRE | @0 Transition laminaire turbulente @5 05 |
|---|
| C03 | 05 | 3 | ENG | @0 Turbulent laminar transition @5 05 |
|---|
| C03 | 06 | 3 | FRE | @0 Ecoulement tourbillonnaire @5 06 |
|---|
| C03 | 06 | 3 | ENG | @0 Vortex flow @5 06 |
|---|
| C03 | 07 | 3 | FRE | @0 Ecoulement transition @5 07 |
|---|
| C03 | 07 | 3 | ENG | @0 Transition flow @5 07 |
|---|
| C03 | 08 | X | FRE | @0 Détachement tourbillonnaire @5 08 |
|---|
| C03 | 08 | X | ENG | @0 Vortex shedding @5 08 |
|---|
| C03 | 08 | X | SPA | @0 Desprendimiento vorticial @5 08 |
|---|
| C03 | 09 | X | FRE | @0 Coudure @5 09 |
|---|
| C03 | 09 | X | ENG | @0 Kinking @5 09 |
|---|
| C03 | 09 | X | SPA | @0 Torsión @5 09 |
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| C03 | 10 | X | FRE | @0 Modèle Landau @5 10 |
|---|
| C03 | 10 | X | ENG | @0 Landau model @5 10 |
|---|
| C03 | 10 | X | SPA | @0 Modelo Landau @5 10 |
|---|
| C03 | 11 | X | FRE | @0 Bifurcation Hopf @5 11 |
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| C03 | 11 | X | ENG | @0 Hopf bifurcation @5 11 |
|---|
| C03 | 11 | X | SPA | @0 Bifurcación Hopf @5 11 |
|---|
| C03 | 12 | 3 | FRE | @0 Modélisation @5 12 |
|---|
| C03 | 12 | 3 | ENG | @0 Modelling @5 12 |
|---|
| C03 | 13 | 3 | FRE | @0 Vorticité @5 13 |
|---|
| C03 | 13 | 3 | ENG | @0 Vorticity @5 13 |
|---|
| C03 | 14 | 3 | FRE | @0 Précurseur @5 14 |
|---|
| C03 | 14 | 3 | ENG | @0 Precursor @5 14 |
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| C03 | 15 | 3 | FRE | @0 4727V @2 PAC @4 INC @5 56 |
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| N21 | | | | @1 225 |
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|
|---|
| pR |
| A30 | 01 | 1 | ENG | @1 BBVIV IUTAM Symposium on Bluff Body Wakes and Vortex-Induced Vibrations @2 2 @3 Carry-Le-Rouet FRA @4 2000-06-13 |
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|
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Format Inist (serveur)
| NO : | PASCAL 01-0326559 INIST |
|---|
| ET : | Kinematics and dynamics of sphere wake transition |
|---|
| AU : | THOMPSON (M. C.); LEWEKE (T.); PROVANSAL (M.); LEWEKE (Thomas); BEARMAN (Peter W.); WILLIAMSON (Charles H. K.) |
|---|
| AF : | Department of Mechanical Engineering, Monash University/Clayton, VIC 3800/Australie (1 aut.); Institut de Recherche sur les Phénomènes Hors Equilibre, 49, rue Frédéric Joliot-Curie, B.P. 146/13384 Marseille/France (2 aut., 3 aut.); IRPHE/CNRS/France (1 aut.); Department of Aeronautics, Imperial College of Science, Technology and Medicine, Prince Consort Road/London SW7 2BY/Royaume-Uni (2 aut.); Sibley School of Mechanical & Aerospace Engineering, Upson Hall, Cornell University/Ithaca NY 14853-7501/Etats-Unis (3 aut.) |
|---|
| DT : | Publication en série; Congrès; Niveau analytique |
|---|
| SO : | Journal of fluids and structures; ISSN 0889-9746; Coden JFSTEF; Royaume-Uni; Da. 2001; Vol. 15; No. 3-4; Pp. 575-585; Bibl. 18 ref. |
|---|
| LA : | Anglais |
|---|
| EA : | The wake of a sphere undergoes a number of symmetry-breaking transitions as it changes from laminar to turbulent. This paper concentrates on the first two transitions. At Re = 212 a regular transition occurs, when the wake develops a spectacular two-tailed structure consisting of two trailing streamwise vortices. During the second transition at Re = 272 the flow undergoes a Hopf bifurcation. In this case there is a complex interaction between the trailing vortices leading to the periodic shedding of vortex loops. Both these transitions are shown to be supercritical (or nonhysteretic). Landau models are constructed for both transitions and the coefficients determined. The visual impression of an apparently sudden bifurcation to the two-tailed wake is shown to be due to the focal nature of the trailing vortices, which draws dye into the cores, even if their net circulation is small. A precursor to the second transition to the periodic wake is strong kinking of the trailing vortices about 1 diameter downstream from the back of the sphere. The vorticity structure of the two-tailed wake prior to transition is also quantified which may prove useful for development of models of the transition process. |
|---|
| CC : | 001B40G27V |
|---|
| FD : | Cinématique; Dynamique; Sphère; Sillage; Transition laminaire turbulente; Ecoulement tourbillonnaire; Ecoulement transition; Détachement tourbillonnaire; Coudure; Modèle Landau; Bifurcation Hopf; Modélisation; Vorticité; Précurseur; 4727V |
|---|
| ED : | Kinematics; Dynamics; Spheres; Wakes; Turbulent laminar transition; Vortex flow; Transition flow; Vortex shedding; Kinking; Landau model; Hopf bifurcation; Modelling; Vorticity; Precursor |
|---|
| SD : | Desprendimiento vorticial; Torsión; Modelo Landau; Bifurcación Hopf |
|---|
| LO : | INIST-21394.354000095616070170 |
|---|
| ID : | 01-0326559 |
|---|
Links to Exploration step
Pascal:01-0326559
Le document en format XML
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<author><name sortKey="Thompson, M C" sort="Thompson, M C" uniqKey="Thompson M" first="M. C." last="Thompson">M. C. Thompson</name>
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<s3>FRA</s3>
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</inist:fA14><series><title level="j" type="main">Journal of fluids and structures</title>
<title level="j" type="abbreviated">J. fluids struct.</title>
<idno type="ISSN">0889-9746</idno>
<imprint><date when="2001">2001</date>
</imprint><seriesStmt><title level="j" type="main">Journal of fluids and structures</title>
<title level="j" type="abbreviated">J. fluids struct.</title>
<idno type="ISSN">0889-9746</idno>
</seriesStmt><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Dynamics</term>
<term>Hopf bifurcation</term>
<term>Kinematics</term>
<term>Kinking</term>
<term>Landau model</term>
<term>Modelling</term>
<term>Precursor</term>
<term>Spheres</term>
<term>Transition flow</term>
<term>Turbulent laminar transition</term>
<term>Vortex flow</term>
<term>Vortex shedding</term>
<term>Vorticity</term>
<term>Wakes</term>
</keywords><keywords scheme="Pascal" xml:lang="fr"><term>Cinématique</term>
<term>Dynamique</term>
<term>Sphère</term>
<term>Sillage</term>
<term>Transition laminaire turbulente</term>
<term>Ecoulement tourbillonnaire</term>
<term>Ecoulement transition</term>
<term>Détachement tourbillonnaire</term>
<term>Coudure</term>
<term>Modèle Landau</term>
<term>Bifurcation Hopf</term>
<term>Modélisation</term>
<term>Vorticité</term>
<term>Précurseur</term>
<term>4727V</term>
</keywords><front><div type="abstract" xml:lang="en">The wake of a sphere undergoes a number of symmetry-breaking transitions as it changes from laminar to turbulent. This paper concentrates on the first two transitions. At Re = 212 a regular transition occurs, when the wake develops a spectacular two-tailed structure consisting of two trailing streamwise vortices. During the second transition at Re = 272 the flow undergoes a Hopf bifurcation. In this case there is a complex interaction between the trailing vortices leading to the periodic shedding of vortex loops. Both these transitions are shown to be supercritical (or nonhysteretic). Landau models are constructed for both transitions and the coefficients determined. The visual impression of an apparently sudden bifurcation to the two-tailed wake is shown to be due to the focal nature of the trailing vortices, which draws dye into the cores, even if their net circulation is small. A precursor to the second transition to the periodic wake is strong kinking of the trailing vortices about 1 diameter downstream from the back of the sphere. The vorticity structure of the two-tailed wake prior to transition is also quantified which may prove useful for development of models of the transition process.</div>
</front><inist><standard h6="B"><pA><fA01 i1="01" i2="1"><s0>0889-9746</s0>
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</fA03><fA06><s2>3-4</s2>
</fA06><fA08 i1="01" i2="1" l="ENG"><s1>Kinematics and dynamics of sphere wake transition</s1>
</fA08><fA09 i1="01" i2="1" l="ENG"><s1>Bluff Body Wakes and Vortex - Induced Vibrations</s1>
</fA09><fA11 i1="01" i2="1"><s1>THOMPSON (M. C.)</s1>
</fA11><fA11 i1="02" i2="1"><s1>LEWEKE (T.)</s1>
</fA11><fA11 i1="03" i2="1"><s1>PROVANSAL (M.)</s1>
</fA11><fA12 i1="01" i2="1"><s1>LEWEKE (Thomas)</s1>
<s9>ed.</s9>
</fA12><fA12 i1="02" i2="1"><s1>BEARMAN (Peter W.)</s1>
<s9>ed.</s9>
</fA12><fA12 i1="03" i2="1"><s1>WILLIAMSON (Charles H. K.)</s1>
<s9>ed.</s9>
</fA12><fA14 i1="01"><s1>Department of Mechanical Engineering, Monash University</s1>
<s2>Clayton, VIC 3800</s2>
<s3>AUS</s3>
<sZ>1 aut.</sZ>
</fA14><fA14 i1="02"><s1>Institut de Recherche sur les Phénomènes Hors Equilibre, 49, rue Frédéric Joliot-Curie, B.P. 146</s1>
<s2>13384 Marseille</s2>
<s3>FRA</s3>
<sZ>2 aut.</sZ>
<sZ>3 aut.</sZ>
</fA14><fA15 i1="01"><s1>IRPHE/CNRS</s1>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
</fA15><fA15 i1="02"><s1>Department of Aeronautics, Imperial College of Science, Technology and Medicine, Prince Consort Road</s1>
<s2>London SW7 2BY</s2>
<s3>GBR</s3>
<sZ>2 aut.</sZ>
</fA15><fA15 i1="03"><s1>Sibley School of Mechanical & Aerospace Engineering, Upson Hall, Cornell University</s1>
<s2>Ithaca NY 14853-7501</s2>
<s3>USA</s3>
<sZ>3 aut.</sZ>
</fA15><fA18 i1="01" i2="1"><s1>International Union of Theoretical and Applied Mechanics (IUTAM)</s1>
<s3>INT</s3>
<s9>patr.</s9>
</fA18><fA20><s1>575-585</s1>
</fA20><fA21><s1>2001</s1>
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</fA64><fA66 i1="01"><s0>GBR</s0>
</fA66><fC01 i1="01" l="ENG"><s0>The wake of a sphere undergoes a number of symmetry-breaking transitions as it changes from laminar to turbulent. This paper concentrates on the first two transitions. At Re = 212 a regular transition occurs, when the wake develops a spectacular two-tailed structure consisting of two trailing streamwise vortices. During the second transition at Re = 272 the flow undergoes a Hopf bifurcation. In this case there is a complex interaction between the trailing vortices leading to the periodic shedding of vortex loops. Both these transitions are shown to be supercritical (or nonhysteretic). Landau models are constructed for both transitions and the coefficients determined. The visual impression of an apparently sudden bifurcation to the two-tailed wake is shown to be due to the focal nature of the trailing vortices, which draws dye into the cores, even if their net circulation is small. A precursor to the second transition to the periodic wake is strong kinking of the trailing vortices about 1 diameter downstream from the back of the sphere. The vorticity structure of the two-tailed wake prior to transition is also quantified which may prove useful for development of models of the transition process.</s0>
</fC01><fC02 i1="01" i2="3"><s0>001B40G27V</s0>
</fC02><fC03 i1="01" i2="3" l="FRE"><s0>Cinématique</s0>
<s5>01</s5>
</fC03><fC03 i1="01" i2="3" l="ENG"><s0>Kinematics</s0>
<s5>01</s5>
</fC03><fC03 i1="02" i2="3" l="FRE"><s0>Dynamique</s0>
<s5>02</s5>
</fC03><fC03 i1="02" i2="3" l="ENG"><s0>Dynamics</s0>
<s5>02</s5>
</fC03><fC03 i1="03" i2="3" l="FRE"><s0>Sphère</s0>
<s5>03</s5>
</fC03><fC03 i1="03" i2="3" l="ENG"><s0>Spheres</s0>
<s5>03</s5>
</fC03><fC03 i1="04" i2="3" l="FRE"><s0>Sillage</s0>
<s5>04</s5>
</fC03><fC03 i1="04" i2="3" l="ENG"><s0>Wakes</s0>
<s5>04</s5>
</fC03><fC03 i1="05" i2="3" l="FRE"><s0>Transition laminaire turbulente</s0>
<s5>05</s5>
</fC03><fC03 i1="05" i2="3" l="ENG"><s0>Turbulent laminar transition</s0>
<s5>05</s5>
</fC03><fC03 i1="06" i2="3" l="FRE"><s0>Ecoulement tourbillonnaire</s0>
<s5>06</s5>
</fC03><fC03 i1="06" i2="3" l="ENG"><s0>Vortex flow</s0>
<s5>06</s5>
</fC03><fC03 i1="07" i2="3" l="FRE"><s0>Ecoulement transition</s0>
<s5>07</s5>
</fC03><fC03 i1="07" i2="3" l="ENG"><s0>Transition flow</s0>
<s5>07</s5>
</fC03><fC03 i1="08" i2="X" l="FRE"><s0>Détachement tourbillonnaire</s0>
<s5>08</s5>
</fC03><fC03 i1="08" i2="X" l="ENG"><s0>Vortex shedding</s0>
<s5>08</s5>
</fC03><fC03 i1="08" i2="X" l="SPA"><s0>Desprendimiento vorticial</s0>
<s5>08</s5>
</fC03><fC03 i1="09" i2="X" l="FRE"><s0>Coudure</s0>
<s5>09</s5>
</fC03><fC03 i1="09" i2="X" l="ENG"><s0>Kinking</s0>
<s5>09</s5>
</fC03><fC03 i1="09" i2="X" l="SPA"><s0>Torsión</s0>
<s5>09</s5>
</fC03><fC03 i1="10" i2="X" l="FRE"><s0>Modèle Landau</s0>
<s5>10</s5>
</fC03><fC03 i1="10" i2="X" l="ENG"><s0>Landau model</s0>
<s5>10</s5>
</fC03><fC03 i1="10" i2="X" l="SPA"><s0>Modelo Landau</s0>
<s5>10</s5>
</fC03><fC03 i1="11" i2="X" l="FRE"><s0>Bifurcation Hopf</s0>
<s5>11</s5>
</fC03><fC03 i1="11" i2="X" l="ENG"><s0>Hopf bifurcation</s0>
<s5>11</s5>
</fC03><fC03 i1="11" i2="X" l="SPA"><s0>Bifurcación Hopf</s0>
<s5>11</s5>
</fC03><fC03 i1="12" i2="3" l="FRE"><s0>Modélisation</s0>
<s5>12</s5>
</fC03><fC03 i1="12" i2="3" l="ENG"><s0>Modelling</s0>
<s5>12</s5>
</fC03><fC03 i1="13" i2="3" l="FRE"><s0>Vorticité</s0>
<s5>13</s5>
</fC03><fC03 i1="13" i2="3" l="ENG"><s0>Vorticity</s0>
<s5>13</s5>
</fC03><fC03 i1="14" i2="3" l="FRE"><s0>Précurseur</s0>
<s5>14</s5>
</fC03><fC03 i1="14" i2="3" l="ENG"><s0>Precursor</s0>
<s5>14</s5>
</fC03><fC03 i1="15" i2="3" l="FRE"><s0>4727V</s0>
<s2>PAC</s2>
<s4>INC</s4>
<s5>56</s5>
</fC03><fN21><s1>225</s1>
</fN21><pR><fA30 i1="01" i2="1" l="ENG"><s1>BBVIV IUTAM Symposium on Bluff Body Wakes and Vortex-Induced Vibrations</s1>
<s2>2</s2>
<s3>Carry-Le-Rouet FRA</s3>
<s4>2000-06-13</s4>
</fA30><server><NO>PASCAL 01-0326559 INIST</NO>
<ET>Kinematics and dynamics of sphere wake transition</ET>
<AU>THOMPSON (M. C.); LEWEKE (T.); PROVANSAL (M.); LEWEKE (Thomas); BEARMAN (Peter W.); WILLIAMSON (Charles H. K.)</AU>
<AF>Department of Mechanical Engineering, Monash University/Clayton, VIC 3800/Australie (1 aut.); Institut de Recherche sur les Phénomènes Hors Equilibre, 49, rue Frédéric Joliot-Curie, B.P. 146/13384 Marseille/France (2 aut., 3 aut.); IRPHE/CNRS/France (1 aut.); Department of Aeronautics, Imperial College of Science, Technology and Medicine, Prince Consort Road/London SW7 2BY/Royaume-Uni (2 aut.); Sibley School of Mechanical & Aerospace Engineering, Upson Hall, Cornell University/Ithaca NY 14853-7501/Etats-Unis (3 aut.)</AF>
<DT>Publication en série; Congrès; Niveau analytique</DT>
<SO>Journal of fluids and structures; ISSN 0889-9746; Coden JFSTEF; Royaume-Uni; Da. 2001; Vol. 15; No. 3-4; Pp. 575-585; Bibl. 18 ref.</SO>
<LA>Anglais</LA>
<EA>The wake of a sphere undergoes a number of symmetry-breaking transitions as it changes from laminar to turbulent. This paper concentrates on the first two transitions. At Re = 212 a regular transition occurs, when the wake develops a spectacular two-tailed structure consisting of two trailing streamwise vortices. During the second transition at Re = 272 the flow undergoes a Hopf bifurcation. In this case there is a complex interaction between the trailing vortices leading to the periodic shedding of vortex loops. Both these transitions are shown to be supercritical (or nonhysteretic). Landau models are constructed for both transitions and the coefficients determined. The visual impression of an apparently sudden bifurcation to the two-tailed wake is shown to be due to the focal nature of the trailing vortices, which draws dye into the cores, even if their net circulation is small. A precursor to the second transition to the periodic wake is strong kinking of the trailing vortices about 1 diameter downstream from the back of the sphere. The vorticity structure of the two-tailed wake prior to transition is also quantified which may prove useful for development of models of the transition process.</EA>
<CC>001B40G27V</CC>
<FD>Cinématique; Dynamique; Sphère; Sillage; Transition laminaire turbulente; Ecoulement tourbillonnaire; Ecoulement transition; Détachement tourbillonnaire; Coudure; Modèle Landau; Bifurcation Hopf; Modélisation; Vorticité; Précurseur; 4727V</FD>
<ED>Kinematics; Dynamics; Spheres; Wakes; Turbulent laminar transition; Vortex flow; Transition flow; Vortex shedding; Kinking; Landau model; Hopf bifurcation; Modelling; Vorticity; Precursor</ED>
<SD>Desprendimiento vorticial; Torsión; Modelo Landau; Bifurcación Hopf</SD>
<LO>INIST-21394.354000095616070170</LO>
<ID>01-0326559</ID>
</server>
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