Linear stability of a circular Couette flow under a radial thermoelectric body force.
Identifieur interne : 000086 ( PubMed/Checkpoint ); précédent : 000085; suivant : 000087Linear stability of a circular Couette flow under a radial thermoelectric body force.
Auteurs : H N Yoshikawa [France] ; A. Meyer [France] ; O. Crumeyrolle [France] ; I. Mutabazi [France]Source :
- Physical review. E, Statistical, nonlinear, and soft matter physics [ 1550-2376 ] ; 2015.
Abstract
The stability of the circular Couette flow of a dielectric fluid is analyzed by a linear perturbation theory. The fluid is confined between two concentric cylindrical electrodes of infinite length with only the inner one rotating. A temperature difference and an alternating electric tension are applied to the electrodes to produce a radial dielectrophoretic body force that can induce convection in the fluid. We examine the effects of superposition of this thermoelectric force with the centrifugal force including its thermal variation. The Earth's gravity is neglected to focus on the situations of a vanishing Grashof number such as microgravity conditions. Depending on the electric field strength and of the temperature difference, critical modes are either axisymmetric or nonaxisymmetric, occurring in either stationary or oscillatory states. An energetic analysis is performed to determine the dominant destabilizing mechanism. When the inner cylinder is hotter than the outer one, the circular Couette flow is destabilized by the centrifugal force for weak and moderate electric fields. The critical mode is steady axisymmetric, except for weak fields within a certain range of the Prandtl number and of the radius ratio of the cylinders, where the mode is oscillatory and axisymmetric. The frequency of this oscillatory mode is correlated with a Brunt-Väisälä frequency due to the stratification of both the density and the electric permittivity of the fluid. Under strong electric fields, the destabilization by the dielectrophoretic force is dominant, leading to oscillatory nonaxisymmetric critical modes with a frequency scaled by the frequency of the inner-cylinder rotation. When the outer cylinder is hotter than the inner one, the instability is again driven by the centrifugal force. The critical mode is axisymmetric and either steady under weak electric fields or oscillatory under strong electric fields. The frequency of the oscillatory mode is also correlated with the Brunt-Väisälä frequency.
DOI: 10.1103/PhysRevE.91.033003
PubMed: 25871198
Affiliations:
Links toward previous steps (curation, corpus...)
Links to Exploration step
pubmed:25871198Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Linear stability of a circular Couette flow under a radial thermoelectric body force.</title><author><name sortKey="Yoshikawa, H N" sort="Yoshikawa, H N" uniqKey="Yoshikawa H" first="H N" last="Yoshikawa">H N Yoshikawa</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName></affiliation></author><author><name sortKey="Meyer, A" sort="Meyer, A" uniqKey="Meyer A" first="A" last="Meyer">A. Meyer</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName></affiliation></author><author><name sortKey="Crumeyrolle, O" sort="Crumeyrolle, O" uniqKey="Crumeyrolle O" first="O" last="Crumeyrolle">O. Crumeyrolle</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName></affiliation></author><author><name sortKey="Mutabazi, I" sort="Mutabazi, I" uniqKey="Mutabazi I" first="I" last="Mutabazi">I. Mutabazi</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PubMed</idno><date when="2015">2015</date><idno type="RBID">pubmed:25871198</idno><idno type="pmid">25871198</idno><idno type="doi">10.1103/PhysRevE.91.033003</idno><idno type="wicri:Area/PubMed/Corpus">000102</idno><idno type="wicri:Area/PubMed/Curation">000102</idno><idno type="wicri:Area/PubMed/Checkpoint">000102</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Linear stability of a circular Couette flow under a radial thermoelectric body force.</title><author><name sortKey="Yoshikawa, H N" sort="Yoshikawa, H N" uniqKey="Yoshikawa H" first="H N" last="Yoshikawa">H N Yoshikawa</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName></affiliation></author><author><name sortKey="Meyer, A" sort="Meyer, A" uniqKey="Meyer A" first="A" last="Meyer">A. Meyer</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName></affiliation></author><author><name sortKey="Crumeyrolle, O" sort="Crumeyrolle, O" uniqKey="Crumeyrolle O" first="O" last="Crumeyrolle">O. Crumeyrolle</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName></affiliation></author><author><name sortKey="Mutabazi, I" sort="Mutabazi, I" uniqKey="Mutabazi I" first="I" last="Mutabazi">I. Mutabazi</name><affiliation wicri:level="4"><nlm:affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Le Havre</settlement></placeName><orgName type="university">Université du Havre</orgName></affiliation></author></analytic><series><title level="j">Physical review. E, Statistical, nonlinear, and soft matter physics</title><idno type="eISSN">1550-2376</idno><imprint><date when="2015" type="published">2015</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The stability of the circular Couette flow of a dielectric fluid is analyzed by a linear perturbation theory. The fluid is confined between two concentric cylindrical electrodes of infinite length with only the inner one rotating. A temperature difference and an alternating electric tension are applied to the electrodes to produce a radial dielectrophoretic body force that can induce convection in the fluid. We examine the effects of superposition of this thermoelectric force with the centrifugal force including its thermal variation. The Earth's gravity is neglected to focus on the situations of a vanishing Grashof number such as microgravity conditions. Depending on the electric field strength and of the temperature difference, critical modes are either axisymmetric or nonaxisymmetric, occurring in either stationary or oscillatory states. An energetic analysis is performed to determine the dominant destabilizing mechanism. When the inner cylinder is hotter than the outer one, the circular Couette flow is destabilized by the centrifugal force for weak and moderate electric fields. The critical mode is steady axisymmetric, except for weak fields within a certain range of the Prandtl number and of the radius ratio of the cylinders, where the mode is oscillatory and axisymmetric. The frequency of this oscillatory mode is correlated with a Brunt-Väisälä frequency due to the stratification of both the density and the electric permittivity of the fluid. Under strong electric fields, the destabilization by the dielectrophoretic force is dominant, leading to oscillatory nonaxisymmetric critical modes with a frequency scaled by the frequency of the inner-cylinder rotation. When the outer cylinder is hotter than the inner one, the instability is again driven by the centrifugal force. The critical mode is axisymmetric and either steady under weak electric fields or oscillatory under strong electric fields. The frequency of the oscillatory mode is also correlated with the Brunt-Väisälä frequency.</div></front></TEI><pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">25871198</PMID><DateCreated><Year>2015</Year><Month>4</Month><Day>15</Day></DateCreated><DateCompleted><Year>2015</Year><Month>09</Month><Day>10</Day></DateCompleted><DateRevised><Year>2015</Year><Month>4</Month><Day>15</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">1550-2376</ISSN><JournalIssue CitedMedium="Internet"><Volume>91</Volume><Issue>3</Issue><PubDate><Year>2015</Year><Month>Mar</Month></PubDate></JournalIssue><Title>Physical review. E, Statistical, nonlinear, and soft matter physics</Title><ISOAbbreviation>Phys Rev E Stat Nonlin Soft Matter Phys</ISOAbbreviation></Journal><ArticleTitle>Linear stability of a circular Couette flow under a radial thermoelectric body force.</ArticleTitle><Pagination><MedlinePgn>033003</MedlinePgn></Pagination><Abstract><AbstractText>The stability of the circular Couette flow of a dielectric fluid is analyzed by a linear perturbation theory. The fluid is confined between two concentric cylindrical electrodes of infinite length with only the inner one rotating. A temperature difference and an alternating electric tension are applied to the electrodes to produce a radial dielectrophoretic body force that can induce convection in the fluid. We examine the effects of superposition of this thermoelectric force with the centrifugal force including its thermal variation. The Earth's gravity is neglected to focus on the situations of a vanishing Grashof number such as microgravity conditions. Depending on the electric field strength and of the temperature difference, critical modes are either axisymmetric or nonaxisymmetric, occurring in either stationary or oscillatory states. An energetic analysis is performed to determine the dominant destabilizing mechanism. When the inner cylinder is hotter than the outer one, the circular Couette flow is destabilized by the centrifugal force for weak and moderate electric fields. The critical mode is steady axisymmetric, except for weak fields within a certain range of the Prandtl number and of the radius ratio of the cylinders, where the mode is oscillatory and axisymmetric. The frequency of this oscillatory mode is correlated with a Brunt-Väisälä frequency due to the stratification of both the density and the electric permittivity of the fluid. Under strong electric fields, the destabilization by the dielectrophoretic force is dominant, leading to oscillatory nonaxisymmetric critical modes with a frequency scaled by the frequency of the inner-cylinder rotation. When the outer cylinder is hotter than the inner one, the instability is again driven by the centrifugal force. The critical mode is axisymmetric and either steady under weak electric fields or oscillatory under strong electric fields. The frequency of the oscillatory mode is also correlated with the Brunt-Väisälä frequency.</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Yoshikawa</LastName><ForeName>H N</ForeName><Initials>HN</Initials><AffiliationInfo><Affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Meyer</LastName><ForeName>A</ForeName><Initials>A</Initials><AffiliationInfo><Affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Crumeyrolle</LastName><ForeName>O</ForeName><Initials>O</Initials><AffiliationInfo><Affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Mutabazi</LastName><ForeName>I</ForeName><Initials>I</Initials><AffiliationInfo><Affiliation>Laboratoire Ondes et Milieux Complexes, UMR 6294 CNRS-Université du Havre, 53, rue de Prony-76058 Le Havre Cedex, France.</Affiliation></AffiliationInfo></Author></AuthorList><Language>ENG</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2015</Year><Month>Mar</Month><Day>03</Day></ArticleDate></Article><MedlineJournalInfo><Country>United States</Country><MedlineTA>Phys Rev E Stat Nonlin Soft Matter Phys</MedlineTA><NlmUniqueID>101136452</NlmUniqueID><ISSNLinking>1539-3755</ISSNLinking></MedlineJournalInfo></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="received"><Year>2014</Year><Month>12</Month><Day>23</Day></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2015</Year><Month>4</Month><Day>15</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2015</Year><Month>4</Month><Day>15</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2015</Year><Month>4</Month><Day>15</Day><Hour>6</Hour><Minute>1</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">25871198</ArticleId><ArticleId IdType="doi">10.1103/PhysRevE.91.033003</ArticleId></ArticleIdList></PubmedData></pubmed><affiliations><list><country><li>France</li></country><region><li>Haute-Normandie</li><li>Région Normandie</li></region><settlement><li>Le Havre</li></settlement><orgName><li>Université du Havre</li></orgName></list><tree><country name="France"><region name="Région Normandie"><name sortKey="Yoshikawa, H N" sort="Yoshikawa, H N" uniqKey="Yoshikawa H" first="H N" last="Yoshikawa">H N Yoshikawa</name></region><name sortKey="Crumeyrolle, O" sort="Crumeyrolle, O" uniqKey="Crumeyrolle O" first="O" last="Crumeyrolle">O. Crumeyrolle</name><name sortKey="Meyer, A" sort="Meyer, A" uniqKey="Meyer A" first="A" last="Meyer">A. Meyer</name><name sortKey="Mutabazi, I" sort="Mutabazi, I" uniqKey="Mutabazi I" first="I" last="Mutabazi">I. Mutabazi</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/France/explor/LeHavreV1/Data/PubMed/Checkpoint
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000086 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/PubMed/Checkpoint/biblio.hfd -nk 000086 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/France
|area= LeHavreV1
|flux= PubMed
|étape= Checkpoint
|type= RBID
|clé= pubmed:25871198
|texte= Linear stability of a circular Couette flow under a radial thermoelectric body force.
}}
Pour générer des pages wiki
HfdIndexSelect -h $EXPLOR_AREA/Data/PubMed/Checkpoint/RBID.i -Sk "pubmed:25871198" \
| HfdSelect -Kh $EXPLOR_AREA/Data/PubMed/Checkpoint/biblio.hfd \
| NlmPubMed2Wicri -a LeHavreV1
| This area was generated with Dilib version V0.6.25. |  |