The wake behind a cylinder rolling on a wall at varying rotation rates
Identifieur interne : 000840 ( Istex/Corpus ); précédent : 000839; suivant : 000841The wake behind a cylinder rolling on a wall at varying rotation rates
Auteurs : B. E. Stewart ; M. C. Thompson ; T. Leweke ; K. HouriganSource :
- Journal of Fluid Mechanics [ 0022-1120 ] ; 2010-04-10.
Abstract
A study investigating the flow around a cylinder rolling or sliding on a wall has been undertaken in two and three dimensions. The cylinder motion is specified from a set of five discrete rotation rates, ranging from prograde through to retrograde rolling. A Reynolds number range of 20–500 is considered. The effects of the nearby wall and the imposed body motion on the wake structure and dominant wake transitions have been determined. Prograde rolling is shown to destabilize the wake flow, while retrograde rotation delays the onset of unsteady flow to Reynolds numbers well above those observed for a cylinder in an unbounded flow. Two-dimensional simulations show the presence of two recirculation zones in the steady wake, the lengths of which increase approximately linearly with the Reynolds number. Values of the lift and drag coefficient are also reported for the steady flow regime. Results from a linear stability analysis show that the wake initially undergoes a regular bifurcation from a steady two-dimensional flow to a steady three-dimensional wake for all rotation rates. The critical Reynolds number Rec of transition and the spanwise wavelength of the dominant mode are shown to be highly dependent on, but smoothly varying with, the rotation rate of the cylinder. Varying the rotation from prograde to retrograde rolling acts to increase the value of Rec and decrease the preferred wavelength. The structure of the fully evolved wake mode is then established through three-dimensional simulations. In fact it is found that at Reynolds numbers only marginally (~5%) above critical, the three-dimensional simulations indicate that the saturated state becomes time dependent, although at least initially, this does not result in a significant change to the mode structure. It is only at higher Reynolds numbers that the wake undergoes a transition to vortex shedding. An analysis of the three-dimensional transition indicates that it is unlikely to be due to a centrifugal instability despite the superficial similarity to the flow over a backward-facing step, for which the transition mechanism has been speculated to be centrifugal. However, the attached elongated recirculation region and distribution of the spanwise perturbation vorticity field, and the similarity of these features with those of the flow through a partially blocked channel, suggest the possibility that the mechanism is elliptic in nature. Some analysis which supports this conjecture is undertaken.
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DOI: 10.1017/S0022112009993053
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Thompson</name><affiliation><mods:affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</mods:affiliation></affiliation></author><author><name sortKey="Leweke, T" sort="Leweke, T" uniqKey="Leweke T" first="T." last="Leweke">T. Leweke</name><affiliation><mods:affiliation>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</mods:affiliation></affiliation></author><author><name sortKey="Hourigan, K" sort="Hourigan, K" uniqKey="Hourigan K" first="K." last="Hourigan">K. 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E." last="Stewart">B. E. Stewart</name><affiliation><mods:affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</mods:affiliation></affiliation><affiliation><mods:affiliation>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: stewart.bronwyn01@gmail.com</mods:affiliation></affiliation></author><author><name sortKey="Thompson, M C" sort="Thompson, M C" uniqKey="Thompson M" first="M. C." last="Thompson">M. C. Thompson</name><affiliation><mods:affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</mods:affiliation></affiliation></author><author><name sortKey="Leweke, T" sort="Leweke, T" uniqKey="Leweke T" first="T." last="Leweke">T. Leweke</name><affiliation><mods:affiliation>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</mods:affiliation></affiliation></author><author><name sortKey="Hourigan, K" sort="Hourigan, K" uniqKey="Hourigan K" first="K." last="Hourigan">K. Hourigan</name><affiliation><mods:affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</mods:affiliation></affiliation><affiliation><mods:affiliation>Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Fluid Mechanics</title><title level="j" type="abbrev">J. Fluid Mech.</title><idno type="ISSN">0022-1120</idno><idno type="eISSN">1469-7645</idno><imprint><publisher>Cambridge University Press</publisher><pubPlace>Cambridge, UK</pubPlace><date type="published" when="2010-04-10">2010-04-10</date><biblScope unit="volume">648</biblScope><biblScope unit="page" from="225">225</biblScope><biblScope unit="page" to="256">256</biblScope></imprint><idno type="ISSN">0022-1120</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0022-1120</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract">A study investigating the flow around a cylinder rolling or sliding on a wall has been undertaken in two and three dimensions. The cylinder motion is specified from a set of five discrete rotation rates, ranging from prograde through to retrograde rolling. A Reynolds number range of 20–500 is considered. The effects of the nearby wall and the imposed body motion on the wake structure and dominant wake transitions have been determined. Prograde rolling is shown to destabilize the wake flow, while retrograde rotation delays the onset of unsteady flow to Reynolds numbers well above those observed for a cylinder in an unbounded flow. Two-dimensional simulations show the presence of two recirculation zones in the steady wake, the lengths of which increase approximately linearly with the Reynolds number. Values of the lift and drag coefficient are also reported for the steady flow regime. Results from a linear stability analysis show that the wake initially undergoes a regular bifurcation from a steady two-dimensional flow to a steady three-dimensional wake for all rotation rates. The critical Reynolds number Rec of transition and the spanwise wavelength of the dominant mode are shown to be highly dependent on, but smoothly varying with, the rotation rate of the cylinder. Varying the rotation from prograde to retrograde rolling acts to increase the value of Rec and decrease the preferred wavelength. The structure of the fully evolved wake mode is then established through three-dimensional simulations. In fact it is found that at Reynolds numbers only marginally (~5%) above critical, the three-dimensional simulations indicate that the saturated state becomes time dependent, although at least initially, this does not result in a significant change to the mode structure. It is only at higher Reynolds numbers that the wake undergoes a transition to vortex shedding. An analysis of the three-dimensional transition indicates that it is unlikely to be due to a centrifugal instability despite the superficial similarity to the flow over a backward-facing step, for which the transition mechanism has been speculated to be centrifugal. However, the attached elongated recirculation region and distribution of the spanwise perturbation vorticity field, and the similarity of these features with those of the flow through a partially blocked channel, suggest the possibility that the mechanism is elliptic in nature. Some analysis which supports this conjecture is undertaken.</div></front></TEI><istex><corpusName>cambridge</corpusName><author><json:item><name>B. E. STEWART</name><affiliations><json:string>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</json:string><json:string>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</json:string><json:string>E-mail: stewart.bronwyn01@gmail.com</json:string></affiliations></json:item><json:item><name>M. C. THOMPSON</name><affiliations><json:string>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</json:string></affiliations></json:item><json:item><name>T. LEWEKE</name><affiliations><json:string>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</json:string></affiliations></json:item><json:item><name>K. HOURIGAN</name><affiliations><json:string>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</json:string><json:string>Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia</json:string></affiliations></json:item></author><articleId><json:string>99305</json:string></articleId><arkIstex>ark:/67375/6GQ-RDPPLFFL-1</arkIstex><language><json:string>eng</json:string></language><originalGenre><json:string>research-article</json:string></originalGenre><abstract>A study investigating the flow around a cylinder rolling or sliding on a wall has been undertaken in two and three dimensions. The cylinder motion is specified from a set of five discrete rotation rates, ranging from prograde through to retrograde rolling. A Reynolds number range of 20–500 is considered. The effects of the nearby wall and the imposed body motion on the wake structure and dominant wake transitions have been determined. Prograde rolling is shown to destabilize the wake flow, while retrograde rotation delays the onset of unsteady flow to Reynolds numbers well above those observed for a cylinder in an unbounded flow. Two-dimensional simulations show the presence of two recirculation zones in the steady wake, the lengths of which increase approximately linearly with the Reynolds number. Values of the lift and drag coefficient are also reported for the steady flow regime. Results from a linear stability analysis show that the wake initially undergoes a regular bifurcation from a steady two-dimensional flow to a steady three-dimensional wake for all rotation rates. The critical Reynolds number Rec of transition and the spanwise wavelength of the dominant mode are shown to be highly dependent on, but smoothly varying with, the rotation rate of the cylinder. Varying the rotation from prograde to retrograde rolling acts to increase the value of Rec and decrease the preferred wavelength. The structure of the fully evolved wake mode is then established through three-dimensional simulations. In fact it is found that at Reynolds numbers only marginally (~5%) above critical, the three-dimensional simulations indicate that the saturated state becomes time dependent, although at least initially, this does not result in a significant change to the mode structure. It is only at higher Reynolds numbers that the wake undergoes a transition to vortex shedding. An analysis of the three-dimensional transition indicates that it is unlikely to be due to a centrifugal instability despite the superficial similarity to the flow over a backward-facing step, for which the transition mechanism has been speculated to be centrifugal. However, the attached elongated recirculation region and distribution of the spanwise perturbation vorticity field, and the similarity of these features with those of the flow through a partially blocked channel, suggest the possibility that the mechanism is elliptic in nature. 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E.</forename><surname>STEWART</surname></persName><email>stewart.bronwyn01@gmail.com</email><affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</affiliation><affiliation>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</affiliation></author><author xml:id="author-0001"><persName><forename type="first">M. C.</forename><surname>THOMPSON</surname></persName><affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</affiliation></author><author xml:id="author-0002"><persName><forename type="first">T.</forename><surname>LEWEKE</surname></persName><affiliation>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</affiliation></author><author xml:id="author-0003"><persName><forename type="first">K.</forename><surname>HOURIGAN</surname></persName><affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</affiliation><affiliation>Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia</affiliation></author><idno type="istex">2B17009490273F609EA78D95997555EAC499E73B</idno><idno type="ark">ark:/67375/6GQ-RDPPLFFL-1</idno><idno type="DOI">10.1017/S0022112009993053</idno><idno type="PII">S0022112009993053</idno><idno type="article-id">99305</idno></analytic><monogr><title level="j">Journal of Fluid Mechanics</title><title level="j" type="abbrev">J. Fluid Mech.</title><idno type="pISSN">0022-1120</idno><idno type="eISSN">1469-7645</idno><idno type="publisher-id">FLM</idno><imprint><publisher>Cambridge University Press</publisher><pubPlace>Cambridge, UK</pubPlace><date type="published" when="2010-04-10"></date><biblScope unit="volume">648</biblScope><biblScope unit="page" from="225">225</biblScope><biblScope unit="page" to="256">256</biblScope></imprint></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>2010</date></creation><langUsage><language ident="en">en</language></langUsage><abstract style="normal"><p>A study investigating the flow around a cylinder rolling or sliding on a wall has been undertaken in two and three dimensions. The cylinder motion is specified from a set of five discrete rotation rates, ranging from prograde through to retrograde rolling. A Reynolds number range of 20–500 is considered. The effects of the nearby wall and the imposed body motion on the wake structure and dominant wake transitions have been determined. Prograde rolling is shown to destabilize the wake flow, while retrograde rotation delays the onset of unsteady flow to Reynolds numbers well above those observed for a cylinder in an unbounded flow. Two-dimensional simulations show the presence of two recirculation zones in the steady wake, the lengths of which increase approximately linearly with the Reynolds number. Values of the lift and drag coefficient are also reported for the steady flow regime. Results from a linear stability analysis show that the wake initially undergoes a regular bifurcation from a steady two-dimensional flow to a steady three-dimensional wake for all rotation rates. The critical Reynolds number Rec of transition and the spanwise wavelength of the dominant mode are shown to be highly dependent on, but smoothly varying with, the rotation rate of the cylinder. Varying the rotation from prograde to retrograde rolling acts to increase the value of Rec and decrease the preferred wavelength. The structure of the fully evolved wake mode is then established through three-dimensional simulations. In fact it is found that at Reynolds numbers only marginally (~5%) above critical, the three-dimensional simulations indicate that the saturated state becomes time dependent, although at least initially, this does not result in a significant change to the mode structure. It is only at higher Reynolds numbers that the wake undergoes a transition to vortex shedding. An analysis of the three-dimensional transition indicates that it is unlikely to be due to a centrifugal instability despite the superficial similarity to the flow over a backward-facing step, for which the transition mechanism has been speculated to be centrifugal. However, the attached elongated recirculation region and distribution of the spanwise perturbation vorticity field, and the similarity of these features with those of the flow through a partially blocked channel, suggest the possibility that the mechanism is elliptic in nature. Some analysis which supports this conjecture is undertaken.</p></abstract></profileDesc><revisionDesc><change when="2010-04-10">Published</change></revisionDesc></teiHeader></istex:fulltextTEI></fulltext><metadata><istex:metadataXml wicri:clean="corpus cambridge not found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="US-ASCII"</istex:xmlDeclaration><istex:docType PUBLIC="-//NLM//DTD Journal Publishing DTD v2.2 20060430//EN" URI="journalpublishing.dtd" name="istex:docType"></istex:docType><istex:document><article dtd-version="2.2" article-type="research-article"><front><journal-meta><journal-id journal-id-type="publisher-id">FLM</journal-id><journal-title>Journal of Fluid Mechanics</journal-title><abbrev-journal-title>J. Fluid Mech.</abbrev-journal-title><issn pub-type="ppub">0022-1120</issn><issn pub-type="epub">1469-7645</issn><publisher><publisher-name>Cambridge University Press</publisher-name><publisher-loc>Cambridge, UK</publisher-loc></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.1017/S0022112009993053</article-id><article-id pub-id-type="pii">S0022112009993053</article-id><article-id pub-id-type="publisher-id">99305</article-id><title-group><article-title>The wake behind a cylinder rolling on a wall at varying rotation rates</article-title><alt-title alt-title-type="right-running">The rolling cylinder wake</alt-title><alt-title alt-title-type="left-running">B. E. Stewart, M. C. Thompson, T. Leweke and K. Hourigan</alt-title></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name><surname>STEWART</surname><given-names>B. E.</given-names></name><xref ref-type="aff" rid="aff001"><sup>1</sup></xref><xref ref-type="aff" rid="aff002"><sup>2</sup></xref><xref ref-type="corresp" rid="cor001">†</xref></contrib><contrib contrib-type="author"><name><surname>THOMPSON</surname><given-names>M. C.</given-names></name><xref ref-type="aff" rid="aff001"><sup>1</sup></xref></contrib><contrib contrib-type="author"><name><surname>LEWEKE</surname><given-names>T.</given-names></name><xref ref-type="aff" rid="aff002"><sup>2</sup></xref></contrib><contrib contrib-type="author"><name><surname>HOURIGAN</surname><given-names>K.</given-names></name><xref ref-type="aff" rid="aff001"><sup>1</sup></xref><xref ref-type="aff" rid="aff003"><sup>3</sup></xref></contrib></contrib-group><aff id="aff001"><label><sup>1</sup></label><addr-line>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR)</addr-line>, <addr-line>Department of Mechanical and Aerospace Engineering</addr-line>, <institution>Monash University</institution>, <addr-line>Melbourne</addr-line>, <addr-line>Victoria 3800</addr-line>, <country>Australia</country></aff><aff id="aff002"><label><sup>2</sup></label><addr-line>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE)</addr-line>, <institution>CNRS/Universités Aix-Marseille</institution>, <addr-line>49 rue Frédéric Joliot-Curie</addr-line>, <addr-line>BP 146</addr-line>, <addr-line>F-13384 Marseille cedex 13</addr-line>, <country>France</country></aff><aff id="aff003"><label><sup>3</sup></label><addr-line>Division of Biological Engineering</addr-line>, <institution>Monash University</institution>, <addr-line>Melbourne</addr-line>, <addr-line>Victoria 3800</addr-line>, <country>Australia</country></aff><author-notes><corresp id="cor001"><label>†</label>Email address for correspondence: <email xlink:href="stewart.bronwyn01@gmail.com">stewart.bronwyn01@gmail.com</email></corresp></author-notes><pub-date pub-type="ppub"><day>10</day><month>04</month><year>2010</year></pub-date><volume>648</volume><fpage seq="12">225</fpage><lpage>256</lpage><history><date date-type="received"><day>22</day><month>02</month><year>2009</year></date><date date-type="rev-recd"><day>26</day><month>10</month><year>2009</year></date><date date-type="accepted"><day>26</day><month>10</month><year>2009</year></date></history><permissions><copyright-statement>Copyright © Cambridge University Press 2010</copyright-statement><copyright-year>2010</copyright-year><copyright-holder>Cambridge University Press</copyright-holder></permissions><abstract abstract-type="normal"><p>A study investigating the flow around a cylinder rolling or sliding on a wall has been undertaken in two and three dimensions. The cylinder motion is specified from a set of five discrete rotation rates, ranging from prograde through to retrograde rolling. A Reynolds number range of 20–500 is considered. The effects of the nearby wall and the imposed body motion on the wake structure and dominant wake transitions have been determined. Prograde rolling is shown to destabilize the wake flow, while retrograde rotation delays the onset of unsteady flow to Reynolds numbers well above those observed for a cylinder in an unbounded flow.</p><p>Two-dimensional simulations show the presence of two recirculation zones in the steady wake, the lengths of which increase approximately linearly with the Reynolds number. Values of the lift and drag coefficient are also reported for the steady flow regime. Results from a linear stability analysis show that the wake initially undergoes a regular bifurcation from a steady two-dimensional flow to a steady three-dimensional wake for all rotation rates. The critical Reynolds number <italic>Re</italic><sub><italic>c</italic></sub> of transition and the spanwise wavelength of the dominant mode are shown to be highly dependent on, but smoothly varying with, the rotation rate of the cylinder. Varying the rotation from prograde to retrograde rolling acts to increase the value of <italic>Re</italic><sub><italic>c</italic></sub> and decrease the preferred wavelength. The structure of the fully evolved wake mode is then established through three-dimensional simulations. In fact it is found that at Reynolds numbers only marginally (~5%) above critical, the three-dimensional simulations indicate that the saturated state becomes time dependent, although at least initially, this does not result in a significant change to the mode structure. It is only at higher Reynolds numbers that the wake undergoes a transition to vortex shedding.</p><p>An analysis of the three-dimensional transition indicates that it is unlikely to be due to a centrifugal instability despite the superficial similarity to the flow over a backward-facing step, for which the transition mechanism has been speculated to be centrifugal. However, the attached elongated recirculation region and distribution of the spanwise perturbation vorticity field, and the similarity of these features with those of the flow through a partially blocked channel, suggest the possibility that the mechanism is elliptic in nature. 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E.</namePart><namePart type="family">STEWART</namePart><affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</affiliation><affiliation>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</affiliation><affiliation>E-mail: stewart.bronwyn01@gmail.com</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">M. C.</namePart><namePart type="family">THOMPSON</namePart><affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">T.</namePart><namePart type="family">LEWEKE</namePart><affiliation>Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille cedex 13, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">K.</namePart><namePart type="family">HOURIGAN</namePart><affiliation>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia</affiliation><affiliation>Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="research-article" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Cambridge University Press</publisher><place><placeTerm type="text">Cambridge, UK</placeTerm></place><dateIssued encoding="w3cdtf">2010-04-10</dateIssued><copyrightDate encoding="w3cdtf">2010</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><abstract type="normal">A study investigating the flow around a cylinder rolling or sliding on a wall has been undertaken in two and three dimensions. The cylinder motion is specified from a set of five discrete rotation rates, ranging from prograde through to retrograde rolling. A Reynolds number range of 20–500 is considered. The effects of the nearby wall and the imposed body motion on the wake structure and dominant wake transitions have been determined. Prograde rolling is shown to destabilize the wake flow, while retrograde rotation delays the onset of unsteady flow to Reynolds numbers well above those observed for a cylinder in an unbounded flow. Two-dimensional simulations show the presence of two recirculation zones in the steady wake, the lengths of which increase approximately linearly with the Reynolds number. Values of the lift and drag coefficient are also reported for the steady flow regime. Results from a linear stability analysis show that the wake initially undergoes a regular bifurcation from a steady two-dimensional flow to a steady three-dimensional wake for all rotation rates. The critical Reynolds number Rec of transition and the spanwise wavelength of the dominant mode are shown to be highly dependent on, but smoothly varying with, the rotation rate of the cylinder. Varying the rotation from prograde to retrograde rolling acts to increase the value of Rec and decrease the preferred wavelength. The structure of the fully evolved wake mode is then established through three-dimensional simulations. In fact it is found that at Reynolds numbers only marginally (~5%) above critical, the three-dimensional simulations indicate that the saturated state becomes time dependent, although at least initially, this does not result in a significant change to the mode structure. It is only at higher Reynolds numbers that the wake undergoes a transition to vortex shedding. An analysis of the three-dimensional transition indicates that it is unlikely to be due to a centrifugal instability despite the superficial similarity to the flow over a backward-facing step, for which the transition mechanism has been speculated to be centrifugal. However, the attached elongated recirculation region and distribution of the spanwise perturbation vorticity field, and the similarity of these features with those of the flow through a partially blocked channel, suggest the possibility that the mechanism is elliptic in nature. Some analysis which supports this conjecture is undertaken.</abstract><relatedItem type="host"><titleInfo><title>Journal of Fluid Mechanics</title></titleInfo><titleInfo type="abbreviated"><title>J. Fluid Mech.</title></titleInfo><genre type="journal" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</genre><identifier type="ISSN">0022-1120</identifier><identifier type="eISSN">1469-7645</identifier><identifier type="PublisherID">FLM</identifier><part><date>2010</date><detail type="volume"><caption>vol.</caption><number>648</number></detail><extent unit="pages"><start>225</start><end>256</end><total>32</total></extent></part></relatedItem><identifier type="istex">2B17009490273F609EA78D95997555EAC499E73B</identifier><identifier type="ark">ark:/67375/6GQ-RDPPLFFL-1</identifier><identifier type="DOI">10.1017/S0022112009993053</identifier><identifier type="PII">S0022112009993053</identifier><identifier type="ArticleID">99305</identifier><accessCondition type="use and reproduction" contentType="copyright">Copyright © Cambridge University Press 2010</accessCondition><recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-G3RCRD03-V">cambridge</recordContentSource><recordOrigin>Copyright © Cambridge University Press 2010</recordOrigin></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/document/2B17009490273F609EA78D95997555EAC499E73B/metadata/json</uri></json:item></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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