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Dynamics and global stability analysis of three-dimensional flows

Author: Jean-Christophe LoiseauJean-Christophe Robinet, chercheur en physique).Emmanuel LericheDenis SippUwe EhrensteinAll authors
Publisher: 2014.
Dissertation: Thèse de doctorat : Mécanique : Paris, ENSAM : 2014.
Edition/Format:   Computer file : Document : Thesis/dissertation : English
Summary:
Comprendre, prédire et finalement retarder la transition vers la turbulence dans les écoulements sont d'importants problèmes posés aux scientifiques depuis les travaux pionniers d'Osborne Reynolds en 1883. Ces questions ont été principalement adressées à l'aide de la théorie des instabilités hydrodynamiques. A cause des ressources informatiques limitées, les analyses de stabilité linéaire reposent
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Genre/Form: Thèses et écrits académiques
Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jean-Christophe Loiseau; Jean-Christophe Robinet, chercheur en physique).; Emmanuel Leriche; Denis Sipp; Uwe Ehrenstein; Luca Brandt; François Lusseyran; Stefania Cherubini; Arts et Métiers Sciences et Technologies.; École doctorale Sciences des métiers de l'ingénieur (Paris).; Laboratoire de Dynamique des Fluides (Paris).
OCLC Number: 918618852
Notes: Titre provenant de l'écran-titre.
Description: 1 online resource
Responsibility: Jean-Christophe Loiseau ; sous la direction de Jean-Christophe Robinet et de Emmanuel Leriche.

Abstract:

Comprendre, prédire et finalement retarder la transition vers la turbulence dans les écoulements sont d'importants problèmes posés aux scientifiques depuis les travaux pionniers d'Osborne Reynolds en 1883. Ces questions ont été principalement adressées à l'aide de la théorie des instabilités hydrodynamiques. A cause des ressources informatiques limitées, les analyses de stabilité linéaire reposent essentiellement sur d'importantes hypothèses simplificatrices telles que celle d'un écoulement parallèle. Dans ce cadre, connu sous le nom de stabilité locale, seule la stabilité d'écoulement ayant un fort intérêt académique mais relativement peu d'applications pratiques a pu être étudiée. Néanmoins, au cours de la décennie passée, l'hypothèse d'écoulement parallèle a été relaxée au profit de celle d'un écoulement bidimensionnel conduisant alors à ce que l'on appelle la stabilité globale. Ce nouveau cadre permet alors d'étudier les mécanismes d'instabilité et de transition ayant lieu au sein d'écoulements plus réalistes. Plus particulièrement, la stabilité d'écoulements fortement non-parallèles pouvant présenter des décollements massifs, une caractéristique fréquente dans les écoulements d'intérêt industriel, peut maintenant être étudiée. De plus, avec l'accroissement constant des moyens de calcul et le développement de nouveaux algorithmes de recherche de valeurs propres itératifs, il est aujourd'hui possible d'étudier la stabilité d'écoulements pleinement tridimensionnels pour lesquels aucune hypothèse simplificatrice n'est alors nécessaire. Dans la continuité des travaux présentés par Bagheri et al. en 2008, le but de la présente thèse est de développer les outils nécessaires à l'analyse de la stabilité d'écoulements 3D. Trois écoulements ont été choisis afin d'illustrer les nouvelles capacités de compréhension apportées par l'analyse de la stabilité globale appliquée à des écoulements tridimensionnels réels : i) l'écoulement au sein d'une cavité entraînée 3D, ii) l'écoulement se développant dans un tuyau sténosé, et enfin iii) l'écoulement de couche limite se développant au passage d'une rugosité cylindrique montée sur une plaque plane. Chacun de ces écoulements a différentes applications pratiques allant d'un intérêt purement académique à une application biomédicale et aérodynamique. Ce choix d'écoulements nous permet également d'illustrer les différents aspects des outils développés au cours de cette thèse ainsi que les limitations qui leur sont inhérentes.

Understanding, predicting and eventually delaying transition to turbulence in fluid flows have been challenging issues for scientists ever since the pioneering work of Osborne Reynolds in 1883. These problems have mostly been addressed using the hydrodynamic linear stability theory. Yet, due to limited computational resources, linear stability analyses have essentially relied until recently on strong simplification hypotheses such as the “parallel flow” assumption. In this framework, known as “local stability theory”, only the stability of flows with strong academic interest but limited practical applications can be investigated. However, over the course of the past decade, simplification hypotheses have been relaxed from the “parallel flow” assumption to a two-dimensionality assumption of the flow resulting in what is now known as the “global stability theory”. This new framework allows one to investigate the instability and transition mechanisms taking place in more realistic flows. More particularly, the stability of strongly non-parallel flows exhibiting separation, a common feature of numerous flows of practical interest, can now be studied. Moreover, with the continuous increase of computational power available and the development of new iterative eigenvalue algorithms, investigating the global stability of fully three-dimensional flows, for which no simplification hypothesis is necessary, is now feasible. Following the work presented in 2008 by Bagheri et al., the aim of the present thesis is thus to develop the tools mandatory to investigate the stability of 3D flows. Three flow configurations have been chosen to illustrate the new investigation capabilities brought by global stability theory when it is applied to realistic three-dimensional flows: i) the flow within a cuboid lid-driven cavity, ii) the flow within an asymmetric stenotic pipe and iii) the boundary layer flow developing over a cylindrical roughness element mounted on a flat plate. Each of these flows have different practical applications ranging from purely academic interests to biomedical and aerodynamical applications. They also allow us to put in the limelight different aspects and possible limitations of the various tools developed during this PhD thesis.

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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/918618852<\/a>> # Dynamics and global stability analysis of three-dimensional flows<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:ComputerFile<\/a>, schema:MediaObject<\/a>, schema:CreativeWork<\/a>, bgn:Thesis<\/a> ;\u00A0\u00A0\u00A0\nbgn:inSupportOf<\/a> \"Th\u00E8se de doctorat : M\u00E9canique : Paris, ENSAM : 2014.<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"918618852<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/fr<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Topic\/stenose<\/a>> ; # St\u00E9nose<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Topic\/turbulence<\/a>> ; # Turbulence<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/simulation_numerique_directe<\/a>> ; # Simulation num\u00E9rique directe<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/couche_limite<\/a>> ; # Couche limite<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/cavite_entrainee<\/a>> ; # Cavit\u00E9 entra\u00EEn\u00E9e<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/stabilite<\/a>> ; # Stabilit\u00E9<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/transition<\/a>> ; # Transition<\/span>\n\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/loiseau_jean_christophe_1987<\/a>> ; # Jean-Christophe Loiseau<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/leriche_emmanuel<\/a>> ; # Emmanuel Leriche<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Organization\/arts_et_metiers_sciences_et_technologies<\/a>> ; # Arts et M\u00E9tiers Sciences et Technologies.<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/sipp_denis<\/a>> ; # Denis Sipp<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/robinet_jean_christophe_19_chercheur_en_physique<\/a>> ; # chercheur en physique). Jean-Christophe Robinet<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/lusseyran_francois_1954<\/a>> ; # Fran\u00E7ois Lusseyran<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/brandt_luca<\/a>> ; # Luca Brandt<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/ehrenstein_uwe_1958<\/a>> ; # Uwe Ehrenstein<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/cherubini_stefania_1983<\/a>> ; # Stefania Cherubini<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Organization\/laboratoire_de_dynamique_des_fluides_paris<\/a>> ; # Laboratoire de Dynamique des Fluides (Paris).<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Organization\/ecole_doctorale_sciences_des_metiers_de_l_ingenieur_paris<\/a>> ; # \u00C9cole doctorale Sciences des m\u00E9tiers de l\'ing\u00E9nieur (Paris).<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2014<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Understanding, predicting and eventually delaying transition to turbulence in fluid flows have been challenging issues for scientists ever since the pioneering work of Osborne Reynolds in 1883. These problems have mostly been addressed using the hydrodynamic linear stability theory. Yet, due to limited computational resources, linear stability analyses have essentially relied until recently on strong simplification hypotheses such as the \u201Cparallel flow\u201D assumption. In this framework, known as \u201Clocal stability theory\u201D, only the stability of flows with strong academic interest but limited practical applications can be investigated. However, over the course of the past decade, simplification hypotheses have been relaxed from the \u201Cparallel flow\u201D assumption to a two-dimensionality assumption of the flow resulting in what is now known as the \u201Cglobal stability theory\u201D. This new framework allows one to investigate the instability and transition mechanisms taking place in more realistic flows. More particularly, the stability of strongly non-parallel flows exhibiting separation, a common feature of numerous flows of practical interest, can now be studied. Moreover, with the continuous increase of computational power available and the development of new iterative eigenvalue algorithms, investigating the global stability of fully three-dimensional flows, for which no simplification hypothesis is necessary, is now feasible. Following the work presented in 2008 by Bagheri et al., the aim of the present thesis is thus to develop the tools mandatory to investigate the stability of 3D flows. Three flow configurations have been chosen to illustrate the new investigation capabilities brought by global stability theory when it is applied to realistic three-dimensional flows: i) the flow within a cuboid lid-driven cavity, ii) the flow within an asymmetric stenotic pipe and iii) the boundary layer flow developing over a cylindrical roughness element mounted on a flat plate. Each of these flows have different practical applications ranging from purely academic interests to biomedical and aerodynamical applications. They also allow us to put in the limelight different aspects and possible limitations of the various tools developed during this PhD thesis.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Comprendre, pr\u00E9dire et finalement retarder la transition vers la turbulence dans les \u00E9coulements sont d\'importants probl\u00E8mes pos\u00E9s aux scientifiques depuis les travaux pionniers d\'Osborne Reynolds en 1883. Ces questions ont \u00E9t\u00E9 principalement adress\u00E9es \u00E0 l\'aide de la th\u00E9orie des instabilit\u00E9s hydrodynamiques. A cause des ressources informatiques limit\u00E9es, les analyses de stabilit\u00E9 lin\u00E9aire reposent essentiellement sur d\'importantes hypoth\u00E8ses simplificatrices telles que celle d\'un \u00E9coulement parall\u00E8le. Dans ce cadre, connu sous le nom de stabilit\u00E9 locale, seule la stabilit\u00E9 d\'\u00E9coulement ayant un fort int\u00E9r\u00EAt acad\u00E9mique mais relativement peu d\'applications pratiques a pu \u00EAtre \u00E9tudi\u00E9e. N\u00E9anmoins, au cours de la d\u00E9cennie pass\u00E9e, l\'hypoth\u00E8se d\'\u00E9coulement parall\u00E8le a \u00E9t\u00E9 relax\u00E9e au profit de celle d\'un \u00E9coulement bidimensionnel conduisant alors \u00E0 ce que l\'on appelle la stabilit\u00E9 globale. Ce nouveau cadre permet alors d\'\u00E9tudier les m\u00E9canismes d\'instabilit\u00E9 et de transition ayant lieu au sein d\'\u00E9coulements plus r\u00E9alistes. Plus particuli\u00E8rement, la stabilit\u00E9 d\'\u00E9coulements fortement non-parall\u00E8les pouvant pr\u00E9senter des d\u00E9collements massifs, une caract\u00E9ristique fr\u00E9quente dans les \u00E9coulements d\'int\u00E9r\u00EAt industriel, peut maintenant \u00EAtre \u00E9tudi\u00E9e. De plus, avec l\'accroissement constant des moyens de calcul et le d\u00E9veloppement de nouveaux algorithmes de recherche de valeurs propres it\u00E9ratifs, il est aujourd\'hui possible d\'\u00E9tudier la stabilit\u00E9 d\'\u00E9coulements pleinement tridimensionnels pour lesquels aucune hypoth\u00E8se simplificatrice n\'est alors n\u00E9cessaire. Dans la continuit\u00E9 des travaux pr\u00E9sent\u00E9s par Bagheri et al. en 2008, le but de la pr\u00E9sente th\u00E8se est de d\u00E9velopper les outils n\u00E9cessaires \u00E0 l\'analyse de la stabilit\u00E9 d\'\u00E9coulements 3D. Trois \u00E9coulements ont \u00E9t\u00E9 choisis afin d\'illustrer les nouvelles capacit\u00E9s de compr\u00E9hension apport\u00E9es par l\'analyse de la stabilit\u00E9 globale appliqu\u00E9e \u00E0 des \u00E9coulements tridimensionnels r\u00E9els : i) l\'\u00E9coulement au sein d\'une cavit\u00E9 entra\u00EEn\u00E9e 3D, ii) l\'\u00E9coulement se d\u00E9veloppant dans un tuyau st\u00E9nos\u00E9, et enfin iii) l\'\u00E9coulement de couche limite se d\u00E9veloppant au passage d\'une rugosit\u00E9 cylindrique mont\u00E9e sur une plaque plane. Chacun de ces \u00E9coulements a diff\u00E9rentes applications pratiques allant d\'un int\u00E9r\u00EAt purement acad\u00E9mique \u00E0 une application biom\u00E9dicale et a\u00E9rodynamique. Ce choix d\'\u00E9coulements nous permet \u00E9galement d\'illustrer les diff\u00E9rents aspects des outils d\u00E9velopp\u00E9s au cours de cette th\u00E8se ainsi que les limitations qui leur sont inh\u00E9rentes.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/2597528115<\/a>> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Th\u00E8ses et \u00E9crits acad\u00E9miques<\/span>\" ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Dynamics and global stability analysis of three-dimensional flows<\/span>\" ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"918618852<\/span>\" ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.theses.fr\/2014ENAM0016\/document<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.theses.fr\/2014ENAM0016\/abes<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/pastel.archives-ouvertes.fr\/tel-01177042<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/918618852<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/brandt_luca<\/a>> # Luca Brandt<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Brandt<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Luca<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Luca Brandt<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/ehrenstein_uwe_1958<\/a>> # Uwe Ehrenstein<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1958<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Ehrenstein<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Uwe<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Uwe Ehrenstein<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/lusseyran_francois_1954<\/a>> # Fran\u00E7ois Lusseyran<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1954<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Lusseyran<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Fran\u00E7ois<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Fran\u00E7ois Lusseyran<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/robinet_jean_christophe_19_chercheur_en_physique<\/a>> # chercheur en physique). Jean-Christophe Robinet<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"19..<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \";<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Robinet<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Jean-Christophe<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"chercheur en physique). Jean-Christophe Robinet<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Person\/sipp_denis<\/a>> # Denis Sipp<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Sipp<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Denis<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Denis Sipp<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/cavite_entrainee<\/a>> # Cavit\u00E9 entra\u00EEn\u00E9e<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Cavit\u00E9 entra\u00EEn\u00E9e<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/couche_limite<\/a>> # Couche limite<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Couche limite<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/simulation_numerique_directe<\/a>> # Simulation num\u00E9rique directe<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Simulation num\u00E9rique directe<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/stabilite<\/a>> # Stabilit\u00E9<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Stabilit\u00E9<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Thing\/transition<\/a>> # Transition<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Transition<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Topic\/stenose<\/a>> # St\u00E9nose<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"St\u00E9nose<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2597528115#Topic\/turbulence<\/a>> # Turbulence<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Turbulence<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/fr<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"fr<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.theses.fr\/2014ENAM0016\/document<\/a>>\u00A0\u00A0\u00A0\nrdfs:comment<\/a> \"Acc\u00E8s au texte int\u00E9gral<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n