Turbulent energy scale budget equations in a fully developed channel flow
Identifieur interne : 001072 ( Istex/Corpus ); précédent : 001071; suivant : 001073Turbulent energy scale budget equations in a fully developed channel flow
Auteurs : L. Danaila ; F. Anselmet ; T. Zhou ; R. A. AntoniaSource :
- Journal of Fluid Mechanics [ 0022-1120 ] ; 2001-03-10.
Abstract
Kolmogorov's equation, which relates second- and third-order moments of the velocity increment, provides a simple method for estimating the mean energy dissipation rate 〈ε〉 for homogeneous and isotropic turbulence. However, this equation is usually not verified in small to moderate Reynolds number flows. This is due partly to the lack of isotropy in either sheared or non-sheared flows, and, more importantly, to the influence, which is flow specific, of the inhomogeneous and anisotropic large scales. These shortcomings are examined in the context of the central region of a turbulent channel flow. In this case, we propose a generalized form of Kolmogorov's equation, which includes some additional terms reflecting the large-scale turbulent diffusion acting from the walls through to the centreline of the channel. For moderate Reynolds numbers, the mean turbulent energy transferred at a scale r also contains a large-scale contribution, reflecting the non-homogeneity of these scales. There is reasonable agreement between the new equation and hot-wire measurements in the central region of a fully developed channel flow.
Url:
DOI: 10.1017/S0022112000002767
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Zhou</name><affiliation><mods:affiliation>Department of Mechanical Engineering, University of Newcastle, NSW, 2308, Australia</mods:affiliation></affiliation></author><author><name sortKey="Antonia, R A" sort="Antonia, R A" uniqKey="Antonia R" first="R. A." last="Antonia">R. A. 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Danaila</name><affiliation><mods:affiliation>IRPHE, 12 Avenue Général Leclerc, 13003 Marseille, France</mods:affiliation></affiliation></author><author><name sortKey="Anselmet, F" sort="Anselmet, F" uniqKey="Anselmet F" first="F." last="Anselmet">F. Anselmet</name><affiliation><mods:affiliation>IRPHE, 12 Avenue Général Leclerc, 13003 Marseille, France</mods:affiliation></affiliation></author><author><name sortKey="Zhou, T" sort="Zhou, T" uniqKey="Zhou T" first="T." last="Zhou">T. Zhou</name><affiliation><mods:affiliation>Department of Mechanical Engineering, University of Newcastle, NSW, 2308, Australia</mods:affiliation></affiliation></author><author><name sortKey="Antonia, R A" sort="Antonia, R A" uniqKey="Antonia R" first="R. A." last="Antonia">R. A. Antonia</name><affiliation><mods:affiliation>Department of Mechanical Engineering, University of Newcastle, NSW, 2308, Australia</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Fluid Mechanics</title><idno type="ISSN">0022-1120</idno><idno type="eISSN">1469-7645</idno><imprint><publisher>Cambridge University Press</publisher><date type="published" when="2001-03-10">2001-03-10</date><biblScope unit="volume">430</biblScope><biblScope unit="page" from="87">87</biblScope><biblScope unit="page" to="109">109</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" xml:lang="en">Kolmogorov's equation, which relates second- and third-order moments of the velocity increment, provides a simple method for estimating the mean energy dissipation rate 〈ε〉 for homogeneous and isotropic turbulence. However, this equation is usually not verified in small to moderate Reynolds number flows. This is due partly to the lack of isotropy in either sheared or non-sheared flows, and, more importantly, to the influence, which is flow specific, of the inhomogeneous and anisotropic large scales. These shortcomings are examined in the context of the central region of a turbulent channel flow. In this case, we propose a generalized form of Kolmogorov's equation, which includes some additional terms reflecting the large-scale turbulent diffusion acting from the walls through to the centreline of the channel. For moderate Reynolds numbers, the mean turbulent energy transferred at a scale r also contains a large-scale contribution, reflecting the non-homogeneity of these scales. There is reasonable agreement between the new equation and hot-wire measurements in the central region of a fully developed channel flow.</div></front></TEI><istex><corpusName>cambridge</corpusName><author><json:item><name>L. DANAILA</name><affiliations><json:string>IRPHE, 12 Avenue Général Leclerc, 13003 Marseille, France</json:string></affiliations></json:item><json:item><name>F. ANSELMET</name><affiliations><json:string>IRPHE, 12 Avenue Général Leclerc, 13003 Marseille, France</json:string></affiliations></json:item><json:item><name>T. ZHOU</name><affiliations><json:string>Department of Mechanical Engineering, University of Newcastle, NSW, 2308, Australia</json:string></affiliations></json:item><json:item><name>R. A. 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In this case, we propose a generalized form of Kolmogorov's equation, which includes some additional terms reflecting the large-scale turbulent diffusion acting from the walls through to the centreline of the channel. For moderate Reynolds numbers, the mean turbulent energy transferred at a scale r also contains a large-scale contribution, reflecting the non-homogeneity of these scales. 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A.</forename><surname>ANTONIA</surname></persName><affiliation>Department of Mechanical Engineering, University of Newcastle, NSW, 2308, Australia</affiliation></author><idno type="istex">587964F4D4FFC6BFE7846C6F0909DE085BF34664</idno><idno type="ark">ark:/67375/6GQ-W8W0C2FM-2</idno><idno type="DOI">10.1017/S0022112000002767</idno><idno type="PII">S0022112000002767</idno></analytic><monogr><title level="j">Journal of Fluid Mechanics</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><date type="published" when="2001-03-10"></date><biblScope unit="volume">430</biblScope><biblScope unit="page" from="87">87</biblScope><biblScope unit="page" to="109">109</biblScope></imprint></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>2001-06-22</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>Kolmogorov's equation, which relates second- and third-order moments of the velocity increment, provides a simple method for estimating the mean energy dissipation rate 〈ε〉 for homogeneous and isotropic turbulence. However, this equation is usually not verified in small to moderate Reynolds number flows. This is due partly to the lack of isotropy in either sheared or non-sheared flows, and, more importantly, to the influence, which is flow specific, of the inhomogeneous and anisotropic large scales. These shortcomings are examined in the context of the central region of a turbulent channel flow. In this case, we propose a generalized form of Kolmogorov's equation, which includes some additional terms reflecting the large-scale turbulent diffusion acting from the walls through to the centreline of the channel. For moderate Reynolds numbers, the mean turbulent energy transferred at a scale r also contains a large-scale contribution, reflecting the non-homogeneity of these scales. There is reasonable agreement between the new equation and hot-wire measurements in the central region of a fully developed channel flow.</p></abstract></profileDesc><revisionDesc><change when="2001-06-22">Created</change><change when="2001-03-10">Published</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-09-5">References added</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="UTF-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.0 20120330//EN" URI="journalpublishing1.dtd" name="istex:docType"></istex:docType><istex:document><article dtd-version="1.0" article-type="research-article" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">FLM</journal-id><journal-title-group><journal-title>Journal of Fluid Mechanics</journal-title><abbrev-journal-title>J. Fluid Mech.</abbrev-journal-title></journal-title-group><issn pub-type="epub">1469-7645</issn><issn pub-type="ppub">0022-1120</issn><publisher><publisher-name>Cambridge University Press</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pii">S0022112000002767</article-id><article-id pub-id-type="doi">10.1017/S0022112000002767</article-id><title-group><article-title>Turbulent energy scale budget equations in a fully developed channel flow</article-title></title-group><contrib-group><contrib><name><surname>DANAILA </surname><given-names>L. </given-names></name><aff><institution>IRPHE</institution>, 12 Avenue Général Leclerc, 13003 Marseille, <country>France</country></aff><aff>Present address: LET, <institution>University of Poitiers</institution>, 40 Avenue du Recteur Pineau, 86022 Poitiers, <country>France</country>.</aff></contrib><contrib><name><surname>ANSELMET </surname><given-names>F. </given-names></name><aff><institution>IRPHE</institution>, 12 Avenue Général Leclerc, 13003 Marseille, <country>France</country></aff></contrib><contrib><name><surname>ZHOU </surname><given-names>T. </given-names></name><aff>Department of Mechanical Engineering, <institution>University of Newcastle</institution>, NSW, 2308, <country>Australia</country></aff></contrib><contrib><name><surname>ANTONIA </surname><given-names>R. A. </given-names></name><aff>Department of Mechanical Engineering, <institution>University of Newcastle</institution>, NSW, 2308, <country>Australia</country></aff></contrib></contrib-group><pub-date pub-type="epub"><day>22</day><month>6</month><year>2001</year></pub-date><pub-date pub-type="ppub"><day>10</day><month>3</month><year>2001</year></pub-date><volume>430</volume><fpage>87</fpage><lpage>109</lpage><history><date date-type="received"><day>20</day><month>4</month><year>2000</year></date><date date-type="rev-recd"><day>25</day><month>8</month><year>2000</year></date></history><permissions><copyright-statement>© 2001 Cambridge University Press</copyright-statement></permissions><abstract><p>Kolmogorov's equation, which relates second- and third-order moments of the velocity
increment, provides a simple method for estimating the mean energy dissipation rate
〈ε〉 for homogeneous and isotropic turbulence. However, this equation is usually
not verified in small to moderate Reynolds number flows. This is due partly to the
lack of isotropy in either sheared or non-sheared flows, and, more importantly, to
the influence, which is flow specific, of the inhomogeneous and anisotropic large
scales. These shortcomings are examined in the context of the central region of a
turbulent channel flow. In this case, we propose a generalized form of Kolmogorov's
equation, which includes some additional terms reflecting the large-scale turbulent
diffusion acting from the walls through to the centreline of the channel. For moderate
Reynolds numbers, the mean turbulent energy transferred at a scale <italic>r</italic> also contains
a large-scale contribution, reflecting the non-homogeneity of these scales. There is
reasonable agreement between the new equation and hot-wire measurements in the
central region of a fully developed channel flow.</p></abstract><counts><page-count count="23"></page-count></counts><custom-meta-group><custom-meta><meta-name>pdf</meta-name><meta-value>S0022112000002767a.pdf</meta-value></custom-meta></custom-meta-group></article-meta></front></article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Turbulent energy scale budget equations in a fully developed channel flow</title></titleInfo><titleInfo type="alternative" lang="en" contentType="CDATA"><title>Turbulent energy scale budget equations in a fully developed channel flow</title></titleInfo><name type="personal"><namePart type="given">L.</namePart><namePart type="family">DANAILA</namePart><affiliation>IRPHE, 12 Avenue Général Leclerc, 13003 Marseille, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">F.</namePart><namePart type="family">ANSELMET</namePart><affiliation>IRPHE, 12 Avenue Général Leclerc, 13003 Marseille, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">T.</namePart><namePart type="family">ZHOU</namePart><affiliation>Department of Mechanical Engineering, University of Newcastle, NSW, 2308, Australia</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">R. A.</namePart><namePart type="family">ANTONIA</namePart><affiliation>Department of Mechanical Engineering, University of Newcastle, NSW, 2308, 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><dateIssued encoding="w3cdtf">2001-03-10</dateIssued><dateCreated encoding="w3cdtf">2001-06-22</dateCreated><copyrightDate encoding="w3cdtf">2001</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><abstract lang="en">Kolmogorov's equation, which relates second- and third-order moments of the velocity increment, provides a simple method for estimating the mean energy dissipation rate 〈ε〉 for homogeneous and isotropic turbulence. However, this equation is usually not verified in small to moderate Reynolds number flows. This is due partly to the lack of isotropy in either sheared or non-sheared flows, and, more importantly, to the influence, which is flow specific, of the inhomogeneous and anisotropic large scales. These shortcomings are examined in the context of the central region of a turbulent channel flow. In this case, we propose a generalized form of Kolmogorov's equation, which includes some additional terms reflecting the large-scale turbulent diffusion acting from the walls through to the centreline of the channel. For moderate Reynolds numbers, the mean turbulent energy transferred at a scale r also contains a large-scale contribution, reflecting the non-homogeneity of these scales. There is reasonable agreement between the new equation and hot-wire measurements in the central region of a fully developed channel flow.</abstract><relatedItem type="host"><titleInfo><title>Journal of Fluid Mechanics</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>2001</date><detail type="volume"><caption>vol.</caption><number>430</number></detail><extent unit="pages"><start>87</start><end>109</end><total>23</total></extent></part></relatedItem><identifier type="istex">587964F4D4FFC6BFE7846C6F0909DE085BF34664</identifier><identifier type="ark">ark:/67375/6GQ-W8W0C2FM-2</identifier><identifier type="DOI">10.1017/S0022112000002767</identifier><identifier type="PII">S0022112000002767</identifier><accessCondition type="use and reproduction" contentType="copyright">© 2001 Cambridge University Press</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>© 2001 Cambridge University Press</recordOrigin></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/document/587964F4D4FFC6BFE7846C6F0909DE085BF34664/metadata/json</uri></json:item></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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