Lors du phénomène d’hémostase primaire ou de thrombose vasculaire, les plaquettes sanguines doivent adhérer aux parois afin de remplir leur fonction réparatrice ou pathologique. Pour ce faire, certains facteurs rhéologiques et hémodynamiques tels que l’hématocrite, le taux de cisaillement local et les contraintes de cisaillement pariétal, entrent en jeu afin d’exclure les plaquettes sanguines de l’écoulement principal et de les transporter vers le site endommagé ou enflammé. Cette exclusion pourrait aussi être influencée par l’agrégation de globules rouges qui est un phénomène naturel présent dans tout le système cardiovasculaire selon les conditions d’écoulement. La dérive de ces agrégats de globules rouges vers le centre des vaisseaux provoque la formation de réseaux d’agrégats dont la taille et la complexité varient en fonction de l’hématocrite et des conditions de cisaillement présentes. Il en résulte un écoulement bi-phasique avec un écoulement central composé d’agrégats de globules rouges avoisinés par une région moins dense en particules où l’on peut trouver des globules rouges singuliers, des petits rouleaux de globules rouges et une importante concentration en plaquettes et globules blancs. De ce fait, il est raisonnable de penser que plus la taille des agrégats qui occupent le centre du vaisseau augmente, plus il y aura de plaquettes expulsées vers les parois vasculaires. L'objectif du projet est de quantifier, in vitro, la migration des plaquettes sanguines en fonction du niveau d’agrégation érythrocytaire présent, en faisant varier l’hématocrite, le taux de cisaillement et en promouvant l’agrégation par l’ajout d’agents tels que le dextran à poids moléculaire élevé. Cependant, le comportement non Newtonien du sang dans un écoulement tubulaire peut être vu comme un facteur confondant à cause de son impact sur l’organisation spatiale des agrégats de globules rouges. De ce fait, les études ont été réalisées dans un appareil permettant de moduler, de façon homogène, la taille et la structure de ces agrégats et de quantifier ainsi leur effet sur la migration axiale des plaquettes. Du sang de porc anti coagulé a été ajusté à différents taux d’hématocrite et insérer dans un appareil à écoulement de Couette, à température ambiante. Les plaquettes sanguines, difficilement isolables in vitro sans en activer certains ligands membranaires, ont été remplacées par des fantômes en polystyrène ayant un revêtement de biotine. La quantification de la migration de ces fantômes de plaquettes a été réalisée grâce à l’utilisation de membranes biologiques fixées sur les parois internes de l’entrefer du rhéomètre de Couette. Ces membranes ont un revêtement de streptavidine assurant une très forte affinité d’adhésion avec les microparticules biotynilées. À 40% d’hématocrite, à un cisaillement de 2 s-1, 566 ± 53 microparticules ont été comptées pour un protocole préétabli avec du sang non agrégeant, comparativement à 1077 ± 229 pour du sang normal et 1568 ± 131 pour du sang hyper agrégeant. Les résultats obtenus suggèrent une nette participation de l’agrégation érythrocytaire sur le transport des fantômes de plaquettes puisque l’adhésion de ces derniers à la paroi du rhéomètre de Couette augmente de façon quasi exponentielle selon le niveau d’agrégation présent. / During the primary hemostatis or thrombosis phenomenon, the human blood platelets must adhere to the vascular wall in order for them to perform their repairing or pathological function. To do so, certain rheological and hemodynamic factors such as the hematocrit, local shear rate and the wall shear stress, must come into play to exclude blood platelets from the main blood stream and transport them to the vicinity of the damaged or inflamed site. This exclusion could also be influenced by red blood cell aggregation which is a natural process present throughout the entire cardiovascular system under certain flow conditions. The displacement of these rouleaux of red blood cells towards the centre of the vessel induces the formation of 3D networks of aggregates whose size and complexity vary as a function of the hematocrit and the shearing conditions present. It results in a two phase flow with an inner core composed of red blood cell aggregates surrounded by single red blood cells or small aggregates and large numbers of white blood cells and platelets. It is therefore reasonable to believe that the larger the inner core becomes, the more platelets will be expulsed towards the vascular wall. The objective of the study was to quantify, in vitro, the lateral migration of blood platelets as a function of the level of red blood cell aggregation present, by changing the hematocrit, the shear rate and by promoting red blood cell aggregation with the use of agents such as high molecular weight dextran. However, the non Newtonian behavior of blood in tube flow can be seen as a confounding factor to the understanding of the spatial organization of the red blood cell aggregates. In this study, whole blood was circulated in a simple shear flow apparatus, which allowed to homogeneously modulate the red blood cell aggregate sizes and structure, and quantify their effect on the axial migration of blood platelets. Anticoagulated porcine bloods were adjusted to different hematocrits and inserted into a Couette flow apparatus, at room temperature. Blood platelets, difficult to isolate in vitro without activating in a non reproducible manner specific membrane ligands, were replaced with biotin coated fluorescent polystyrene beads. The quantification of the migration of these platelet ghosts was conducted with the use of biological membranes fixed on the interior walls of the Couette apparatus. These streptavidin coated membranes ensure a strong adhesive affinity with the biotynilated beads. At 40% hematocrit and at a shear of 2 s-1, 566 ± 53 micro particles were counted for non aggregated erythrocytes, 1077 ± 229 for aggregating red blood cells and 1568 ± 131 for hyper aggregating blood. The results obtained suggest a strong participation of the red blood cell aggregation on the transport of platelet ghosts since the number of ghost cells fixed on the wall of the Couette rheometer increases almost exponentially with the level of aggregation present.

Made available in DSpace on 2014-12-17T14:58:19Z (GMT). No. of bitstreams: 1 FernandoNS_DISSERT.pdf: 5044327 bytes, checksum: 66e88407297dda873c6a6d882b6de312 (MD5) Previous issue date: 2012-08-27 / Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico / A batch of eighty-four coupons of low carbon steel were investigated at laboratory conditions under a corrosive, cavitative-corrosive (CO2) and corrosive-erosive (SiO2 + CO2) in an aqueous salt solution and two levels of temperature. The following measurements were made on Vickers (HV0,05, HV0,10, HV0,20) Microhardness tests at three levels of subsurface layer. A turbulent flow collided on the cylindrical sample, with and without mechanical stirring and gas bubbling, with and without fluid contamination by solid particles of SiO2, at two temperatures. Surface Roughness and Waviness, under two conditions "as received, after machining" and "after worn out", as well as gravimetric and electrochemical parameter were measured on the two opposite generatrices of each cylindrical sample, on the flow upstream (0?) and downstream (180?) by Profilometry, Mass Variation and Linear Polarization Resistance (LPR). The results of the Microhardness and Surface Texture of all coupons were subjected to statistical comparison, using the software Statgraphics? Centurion XVI, 95% statistical certainty, and significant differences were observed in some arrays of measurements. The corrosive wear rate measured by LPR and mass variation shown to be sensitive to the presence of bubbles and hydrodynamic fluctuations inside the cell, considering the temperature and contamination of corrosive fluid by solid particles. The main results of visual inspection relative to some topologies of the surface damages involving different mechanisms that were seen to give explanation for some fluctuations in wear rates of the steel experimentally investigated / Um lote de oitenta e quatro corpos-de-prova (CP) de a?o AISI 1018 foi investigado em laborat?rio sob solicita??es corrosivas, cavitativo-corrosivas (CO2) e erosivocorrosivas (SiO2+CO2) em meio aquoso salino e a duas temperaturas. Foram realizados ensaios de microdureza Vickers a tr?s n?veis de subsuperf?cie (HV0,05, HV0,10, HV0,20). Um fluxo agitado colidiu contra os CPs, em todas as condi??es de ensaio, sem e com agita??o mec?nica e borbulhamento de g?s, sem e com contamina??o do fluido por part?culas s?lidas de SiO2, nas duas temperaturas estudadas. A rugosidade e ondula??o superficial, nas condi??es como recebidos, ap?s usinagem e ap?s desgastados , bem como medi??es gravim?tricas e eletroqu?micas foram realizadas em duas geratrizes opostas de cada corpo-deprova, a montante (0?) e a jusante (180?), atrav?s das t?cnicas de perfilometria, varia??o m?ssica e resist?ncia de polariza??o linear (RPL). Os resultados da microdureza e da textura superficial em todos CPs foram submetidos ? compara??o estat?stica, utilizando-se o software Statgraphics? Centurion XVI e, com 95% de certeza estat?stica, diferen?as significativas foram observadas em alguns grupos de medidas. As medidas das taxas de desgaste corrosivo, por RPL e por varia??o m?ssica, demonstraram serem sens?veis ? presen?a de bolhas e ?s flutua??es hidrodin?micas no interior da c?lula, consideradas a temperatura e a contamina??o do fluido corrosivo por part?culas s?lidas. Apresentam-se, tamb?m, os principais resultados da inspe??o visual em que se evidenciam algumas topologias do dano superficial nas geratrizes a 0? e a 180?, involvendo diferentes mecanismos que foram presenciados, para justificar algumas flutua??es nas taxas de desgaste do a?o em estudo

La matière molle se consacre à l'étude des propriétés de fluides complexes. Ces fluides diffèrent des fluides simples à cause de l'existence d'une microstructure qui provient de l'arrangement particulier des éléments mésoscopiques constitutifs du matériau (agrégats de particules de noir de carbone, enchevêtrements de polymères, micelles de molécules tensioactives). C'est le couplage entre microstructure et déformation qui confère aux fluides complexes des comportements singuliers et qui engendre des écoulements hétérogènes. Comprendre ces états hors-équilibre et les dynamiques associées présente un intérêt à la fois industriel et fondamental. La rhéologie en cellule de Taylor-Couette est une technique très répandue pour l'étude de la déformation et de l'écoulement de fluides complexes. Cependant, cette méthode n'est pas adaptée à l'étude des écoulements hétérogènes car elle ne fournit qu'une description globale de l'écoulement. Pour pallier ce problème, une technique de vélocimétrie ultrasonore à deux dimensions a été couplée à la rhéologie classique. Cette visualisation locale nous a permis d'étudier l'instabilité inertielle de Taylor-Couette dans les fluides newtoniens, les instabilités élastiques de fluides viscoélastiques (polymères et solutions micellaires), la fluidification de fluides à seuil (gels de noir de carbone, microgels de carbopol et émulsions) et enfin la rupture de gels de protéine soumis à une contrainte de cisaillement. Tous ces exemples montrent des coexistences entre différents états induits par l'écoulement et permettent de revisiter les approches rhéologiques à partir de caractérisations locales des champs de déformation et de vitesse. / Soft matter scientists are dedicated to studying the properties of complex fluids. Complex fluids differ from simple fluids in that they possess a microstructure resulting from the particular arrangement of mesoscopic elements which constitute the material (aggregates of carbon black particles, entangled polymers, micelles of surfactant molecules, etc.). Peculiar flow behaviors in complex fluids, such as heterogeneous flows, arise from the coupling between microstructure and flow. Understanding these non-equilibrium states and the associated dynamics is both of industrial and fundamental interest. Rheology in a Taylor-Couette cell is a wide-spread technique for investigating the deformation and flow of complex fluids. However, this method is mostly blind to heterogeneous flows as it only provides a global description of the flow. To overcome this problem, an ultrasonic imaging technique has been combined with classical rheology. This local visualisation has allowed us to study the inertial Taylor-Couette instability in Newtonian fluids, elastic instabilities in viscoelastic fluids (polymers and micellar solutions), the fluidisation of yield stress fluids (carbon black gels, carbopol microgels and emulsions) and finally the failure of protein gels under stress. In all these cases we evidence a coexistence between different flow-induced states and revisit global rheological approaches through local characterizations of deformation and velocity fields.

Ce travail est une étude expérimentale permettant de mettre en évidence la cartographie générale de l’ensemble des états d’écoulement obtenus entre le régime laminaire de Couette et la turbulence. L’ensemble des expériences a été réalisé dans un dispositif appelé système Taylor-Couette (STC), composé de deux cylindres concentriques avec le cylindre intérieur tournant. Ces différentes instabilités (SPI, TVF, WVF, MWVF, TTVF), qui dépendent principalement du nombre de Taylor (Ta), seront obtenues avec ou sans débit axial dans le STC selon des protocoles d’analyse bien définis et nous notons que le nombre de Reynolds axial (Reax) a un effet de stabilisation de l’écoulement. Les vortex de Taylor toroïdaux, ondulés ou ondulés modulés, ont été caractérisés en termes de gradient pariétal de vitesse, de nombre d’ondes, de longueur d’ondes axiales et azimutales, de la vitesse de déplacement axial, de fréquence et de la vitesse de révolution ; la polarographie sera utilisée comme technique de mesure. La vitesse du cylindre intérieur (Ta) est essentiellement le seul phénomène agissant sur l’évolution de ces paramètres. L’utilisation de la sonde tri-segmentée dans la caractérisation des structures tourbillonnaires a contribué à la compréhension des mécanismes d’interaction vortex-paroi et à la détermination des composantes azimutale et axiale du gradient pariétal de vitesse. / This work is an experimental study to highlight general mapping of the set of states obtained from the Couette laminar flow to turbulence. All experiments were performed in a device called Taylor-Couette system (TCS) which consists of two concentric cylinders with the inner cylinder rotating. The flow regimes (SPI, TVF, WVF, MWVF, TTVF), which depend mainly on the Taylor number (Ta), were obtained with or without axial flow in the TCS according to well-defined experimental protocols. We noted that the axial Reynolds number (Reax) has astabilizing effect on the flow. Using electrodiffusion method and analysis of films, the toroidal Taylor vortices, wavy or wavy modulated flow, were characterized in terms of the wall velocity gradients, wave number, axial and azimuthal wavelength, the axial velocity of vortex displacement, and there frequencies. The Taylor number has substantial effect on the evolution of these parameters in the investigated range. The use of three-segment electrodiffusion has contributed to the understanding of the mechanisms of vortex-wall interaction and the determination of the azimuthal and axial components of the wall velocity gradient.

Cette thèse est consacrée à la vérification de l'analogie entre l'instabilité viscoélastique (VEI) et l'instabilité magnéto-rotationnel (MRI) dans un écoulement képlérien, afin de mieux comprendre le transport du moment dans les disques d'accrétion. Le discriminant de Rayleigh élasto-rotationnel est établi pour clarifier le rôle de l'élasticité dans le VEI. L'analyse de stabilité linéaire (LSA) avec le modèle d’Oldroyd-B est effectuée pour prédire les paramètres critiques des modes viscoélastiques. Il fait apparaître également l'influence de l'élasticité, la viscosité polymérique et d'autres paramètres de contrôle pour le VEI. Des expériences bien contrôlées avec des solutions aqueuses de polyoxyéthylène (POE) et de polyéthylène glycol (PEG) sont effectuées. Nous avons observé le mode stationnaire axisymétrique supercritique avec des solutions de faible élasticité et modes désordonnés sous-critiques avec des solutions de grande élasticité. Les formes et les valeurs critiques de ces modes sont en bon accord avec les prédictions théoriques de LSA. Selon l'analogie, le mode axisymétrique stationnaire est probablement l'analogue de MRI standard, tandis que le mode désordonné est probable que l'analogue de MRI hélicoïdale. La thèse contient aussi des résultats théoriques expérimentaux sur quatre autres régimes de rotation et un cas de limite d'élasticité infinie. / This thesis is devoted to the verification of the analogy between the viscoelastic instability (VEI) and the magnetorotational instability (MRI) in a Keplerian flow, in order to get better understanding of the momentum transportation in accretion disks.The elasto-rotational Rayleigh discriminant is deduced to clarify the role of the elasticity in the VEI. The linear stability analysis (LSA) with Oldroyd-B model is performed to predict critical parameters of viscoelastic modes, and it reveals the influence of the elasticity, polymer viscosity on the VEI. Experiments with well controlled aqueous solutions of polyoxyethylene (POE) and polyethylene glycol (PEG) are conducted. We have observed supercritical stationary axisymmetric mode with solutions of small elasticity and subcritical disordered modes with solutions of large elasticity. Both the flow patterns and the critical values of these modes are in good agreement with the LSA predictions. According to the analogy, the stationary axisymmetric mode is likely the analog of the standard MRI while the disordered mode is likely the analog of the helical MRI. The thesis contains also theoretical and experimental results with four other rotation regimes and the limit case of infinite elasticity.

Accretion disks are ubiquitous in astrophysics. They are found in active galactic nuclei, around newly formed stars, around compact stellar objects, like black holes, neutron stars etc. When the ambient matter with sufficient initial angular momentum falls towards a central massive object, forming a disk shaped astrophysical structure, it is called an accretion disk. There are both ionized and neutral disks depending on their temperatures. Generally, in accretion disks, Gravitational force is balanced by the centrifugal force (due to the presence of angular momentum of the matter) and the forces due to gas pressure, radiation pressure and advection. Now, the matter to be accreted needs to lose angular momentum. For most of the accretion disks, the mass of the central object is much higher than the mass of the disk, giving rise to a dynamics governed by a central force. Therefore we can neglect the effect of self-gravity of the disk. Balancing the Newtonian gravitational force and centrifugal force leads to a Keplerian rotation profile of the accreting matter with the angular velocity ∼ r−3/2, where r is the distance from the central object. The Keplerian disk model is extremely useful to explain several flow classes (e.g. emission of soft X-ray in disks around stellar mass black holes). Due to the presence of differential rotation and hence shear viscosity, the matter can slowly lose its angular momentum and falls towards the central object. In this way, the accreting matter in the disk releases its gravitational potential energy and gives rise to luminosity that we observe. However, the molecular viscosity originated from the microscopic physics (due to the collisions between molecules) of the disk matter is not sufficient to explain the observed luminosity or accretion rate. For example, it can be shown that the temperature arisen from the dissipation of energy due to molecular viscosity (which is around 50000K for optical depth τ = 100) is much less than the temperature observed in these systems (around 107K). In my thesis, I have addressed the famous problem of infall of matter in astrophysical accretion disks. In general, the emphasis is given on the flows whose angular velocity decreases but specific angular momentum increases with increasing radial coordinate. Such flows, which are extensively seen in astrophysics, are Rayleigh-stable, but must be turbulent in order to explain observed data (observed temperature, as described above). Since the molecular viscosity is negligible in these systems, for a very large astrophysical length scale, Shakura and Sunyaev argued for turbulent viscosity for energy dissipation and hence to explain the infall of matter towards the central object. This idea is particularly attractive because of its high Reynolds number (Re ∼ 1014). However, the Keplerian disks, which are relevant to many astrophysical applications, are remarkably Rayleigh stable. Therefore, linear perturbation apparently cannot induce the onset of turbulence, and consequently cannot provide enough viscosity to transport matter inwards. The primary theme of my thesis is, how these accretion disks can be made turbulent in the first place to give rise to turbulent viscosity. With the application of Magnetorotational Instability (MRI) to Keplerian disks, Balbus and Hawley showed that initial seed, weak magnetic fields can lead to the velocity and magnetic field perturbations growing exponentially. Within a few rotation times, such exponential growth could reveal the onset of turbulence. Since then, MRI has been a widely accepted mechanism to explain origin of instability and hence transport of matter in accretion disks. Note that for flows having strong magnetic fields, where the magnetic field is tightly coupled with the flow, MRI is not expected to work. Hence, it is very clear that the MRI is bounded in a small regime of parameter values when the field is also weak. It has been well established by several works that transient growth (TG) can reveal nonlinearity and transition to turbulence at a sub-critical Re. Such a sub-critical transition to turbulence was invoked to explain colder, purely hydrodynamic accretion flows, e.g. quiescent cataclysmic variables, proto-planetary and star-forming disks, the outer region of the disks in active galactic nuclei etc. Baroclinic instability is another plausible source for vigorous turbulence in colder accretion disks. Note that while hotter flows are expected to be ionized enough to produce weak magnetic fields therein and subsequent MRI, colder flows may remain to be practically neutral in charge and hence any instability and turbulence therein must be hydrodynamic. However, in the absence of magnetic effects, the Coriolis force does not allow any significant TG in accretion disks in three dimensions, independent of Re, while in pure two dimensions, TG could be large at large Re. However, a pure two-dimensional flow is a very idealistic case. Nevertheless, in the presence of magnetic field, even in three dimensions, TG could be very large (Coriolis effects could not suppress the growth). Hence, in a real three-dimensional flow, it is very important to explore magnetic TG. However, as mentioned above, the charge neutral Rayleigh-stable astrophysical flows have hardly any magnetic field (e.g. protoplanetary disks, quiescent cataclysmic variables etc.). Also, the hydrodynamic Rayleigh-stable Taylor-Couette flows and plane Couette flows in the laboratory experiments are seen to be turbulent without the presence of any magnetic field, while they are shown to be stable in linear stability analysis. It is a century old unsolved problem to explain hydrodynamically, the linear instability of Couette flows and other Rayleigh-stable Flows, which are observed to be turbulent, starting from laboratory experiments to astrophysical observations. Therefore, as in one hand, the hydrodynamic instability of the astrophysical accretion flows and laboratory shear flows (e.g. Rayleighstable Taylor-Couette flow, plane Couette flow etc.) has to be understood, on the other hand, the magnetohydrodynamic (MHD) instability of the hotter flows has also to be investigated to understand the nature of MHD instability clearly, whether it arises due to MRI or TG. I have investigated the effect of stochastic noise (which is generated by the shearing motion of the disk layers) on the hydrodynamics and magnetohydrodynamics of accretion disks and explain how stochastic noise can make accretion Disks turbulent. It is found that such stochastically driven flows exhibit large temporal and spatial correlations of perturbations, and hence large energy dissipations of perturbation with time, which presumably generates instability and turbulence. I have also given in my thesis, a plausible resolution of the hydrodynamic turbulence problem of the accretion flows and laboratory shear flows (as discussed above) from pure hydrodynamics, invoking the idea of Brownian motion of particles. I have shown that in any shear flow, very likely, the stochastic noise is generated due to thermal fluctuations. Therefore, the shear flows must be studied including the effect of stochastically driving force and hence the governing equations should not be deterministic. Incorporating the effects of noise in the study of the above mentioned shear flows, I have shown in my thesis that hydrodynamic Rayleigh-stable flows and plane Couette flows can be linearly unstable. I have also investigated the importance of transient growth over magnetorotational instability (MRI) to produce turbulence in accretion disks. Balbus and Hawley asserted that the MRI is the fastest weak field instability in accretion disks. However, they used only the plane wave perturbations to study the instability problem. I have shown that for the flows with high Reynolds number, which are indeed the case for astrophysical accretion disks, transient growth can make the system nonlinear much faster than MRI and can be a plausible primary source of turbulence, using the shearing mode perturbations. Therefore, this thesis provides a plausible resolution of hydrodynamic turbulence observed in astrophysical accretion disks and some laboratory shear flows, such as, Rayleigh-stable Taylor-Couette flows and plane Couette flows. Moreover, this thesis also provides a clear understanding of MHD turbulence for astrophysical accretion disks.

[pt] Escoamentos de fluidos sobre paredes flexíveis se fazem presentes em diversos processos biológicos e industriais. A flexibilidade do sólido permite a propagação de ondas na interface, podendo levar o sistema a se tornar instável mesmo a baixos valores do número de Reynolds. Esta perda de estabilidade provoca uma alteração nas características hidrodinâmicas e na transferência de calor do processo. Os trabalhos disponíveis na literatura se concentram em torno de análise de estabilidade linear e experimentos de determinação de parâmetros críticos. Entretanto estas metodologias não são capazes de descrever o comportamento do sistema após sua desestabilização. Neste trabalho, o regime instável de um escoamento de Couette de um fluido Newtoniano sobre um sólido incompressível e impermeável de MooneyRivlin é estudado numericamente através da solução acoplada das equações de conservação de quantidade de movimento linear transiente de cada meio. O número de Reynolds foi escolhido pequeno o suficiente para afastar a possibilidade de que mecanismos inerciais se façam presentes. Diferentes razões de espessura líquido-sólido flexível foram utilizadas para se determinar os efeitos desta grandeza sobre o processo. O sistema de equações diferenciais foram integradas no espaço pelo método de Galerkinjelementos finitos, e no tempo por diferenças finitas. A necessidade de se utilizar passos de tempo variáveis exigiu o desenvolvimento de uma fórmula específica para a aproximação da derivada segunda presente no termo transiente do sólido. / [en] Fluid flow over flexible wall are present in several biological and industrial processes. The flexibility of the solid body permits the waves propagation along the interface, leading the system to become unstable even at low value of Reynolds number. This loss of stability induce some changes on the hydrodynamic characteristics and on the heat transfer of the process. Works available on literature are concentrated around linear stability analysis and experiments of determining critical parameters. Nevertheless these methodologies are not able of describing the system behavior after the desestabilization. In this work, the unstable regime of a Newtonian fluid Couette flow over an incompressible and impermeable Mooney-Rivlin solid is numerically studied by solving the coupled fluid and solid momentum equation. The Reynolds number has been chosen small enough to avoid the presence of inertial mechanisms. Different liquid-flexible solid thickness ratio were used to determine the effect of this parameter on the problem. The system of differential equations were integrated by Galerki s/finite elements method on space, and by finite differences on time. The necessity of using variables changeables time steps demanded the development of a specific equation to approximates the second material derivative present on the unsteady solid term.

Ce travail de thèse vise à étudier expérimentalement les mécanismes d'interaction entre les structures de la turbulence et une phase dispersée (gaz ou vapeur) dans une expérience de Taylor Couette avec rotation du cylindre intérieur. Cette étude a été réalisée pour des régimes d'écoulement correspondant aux régimes chaotique (Ta=780), faiblement turbulent (Ta=1000) et turbulent (Ta=4500). La phase dispersée sous forme de bulles, de tailles variées, a été introduite soit par ventilation par agitation de la surface libre, soit par injection associée à une mise en dépression de l'installation. L'intrusion de sondes optiques doubles a permis de caractériser l'arrangement de la phase dispersée (localisation des bulles dans l'entrefer) ainsi que le taux de vide, la taille et la vitesse des bulles. Afin de caractériser la dynamique de l'écoulement, des visualisations couplées à des mesures du champ de vitesse par vélocimétrie Laser Doppler ont été effectuées dans l'entrefer. Des comparaisons fines entre la dynamique du liquide en présence de bulles et celle obtenue en écoulement monophasique ont permis de mettre en évidence les interactions et les mécanismes de couplages ou d'échange entre la structure de l'écoulement et la phase dispersée. En ce qui concerne l'arrangement de la phase dispersée, les résultats ont montré que les bulles de taille millimétrique sont en partie capturées par les cellules de Taylor, une cellule sur deux et en partie localisées dans les zones de jet (outflow) près du cylindre intérieur. Les bulles sub-millimétriques sont essentiellement localisées en région de outflow près du cylindre intérieur mais de manière plus diffuse dans l'entrefer. En ce qui concerne les mécanismes d'interaction entre les bulles et la dynamique du champ de vitesse liquide, il a été montré que les bulles localisées au coeur des cellules contribuent à stabiliser l'écoulement par augmentation de la vorticité alors que les bulles localisées en proche paroi du cylindre intérieur (dans la zone de jet) contribuent à développer la turbulence par augmentation du cisaillement dépendant de la taille des bulles. On a observé globalement un gain d'énergie cinétique turbulente en écoulement diphasique de Taylor Couette principalement dû au travail de cisaillement.

LES MÉCANISMES DE CROISSANCE OPTIMALE DANS DES ÉCOULEMENTS DE CISAILLEMENT CONFINES, EN PARTICULIER LES ÉCOULEMENTS DE COUETTE PLAN ET POISEUILLE PLAN, LORSQU'ILS SONT SOUMIS OU NON À UN GRADIENT DE TEMPÉRATURE DÉSTABILISANT NORMAL À LA PAROI SONT ÉTUDIÉS EN DÉTAIL. DANS LE CAS D'UN FLUIDE DE BOUSSINESQ SOUMIS À UN GRADIENT DE TEMPÉRATURE TRANSVERSE, UNE ANALYSE EXHAUSTIVE DE STABILITÉ NON MODALE EST EFFECTUÉE POUR DIFFÉRENTS NOMBRES DE REYNOLDS, DE RAYLEIGH ET DE PRANDTL. ON MONTRE QUE LES LOIS D'ÉCHELLE RELATIVES À LA CROISSANCE TRANSITOIRE DANS DES ÉCOULEMENTS CISAILLES PURS SONT ROBUSTES, Y COMPRIS EN PRÉSENCE D'UN GRADIENT DE TEMPÉRATURE DÉSTABILISANT. L'EFFET DE ''LIFT-UP" RESTE LE MÉCANISME PRÉDOMINANT DE CROISSANCE TRANSITOIRE. LE MÉCANISME DE ''LIFT-UP" NON VISQUEUX CLASSIQUE CARACTÉRISE LE COMPORTEMENT AUX TEMPS COURTS ALORS QUE LE MODE PROPRE DE RAYLEIGH-BÉNARD SANS SA COMPOSANTE DE VITESSE LONGITUDINALE CARACTÉRISE LE COMPORTEMENT AUX TEMPS LONGS. LA COURBE DE GAIN OPTIMAL EST AINSI DÉCRITE ET INTERPRÉTÉE ENTIÈREMENT. DANS LE CAS D'ÉCOULEMENTS CISAILLES PURS, LE RÔLE DE TRANSFORMATION DE SQUIRE EST ÉTENDUE À LA CROISSANCE TRANSITOIRE OPTIMALE D'UNE PERTURBATION ARBITRAIRE 3D DANS LE CAS D'ÉCOULEMENTS CISAILLES PARALLÈLES D'EXTENSION TRANSVERSE FINIE. CELA PERMET AUSSI DE DÉMONTRER QUE LES CROISSANCES OPTIMALES AUX TEMPS LONGS POUR DES PERTURBATIONS DE NOMBRE D'ONDE ARBITRAIRES PEUVENT ÊTRE DÉCOMPOSÉES COMME UN PRODUIT DES GAINS RESPECTIFS RÉSULTANT DU MÉCANISME D'ORR 2D ET DU MÉCANISME DE " LIFT-UP ".

Une " boue " est constituée de particules submillimétriques immergées dans un fluide. Nous étudions des boues concentrées (ou " pâtes granulaires "), où la concentration en particules est proche du maximum réalisable. Les particules peuvent être plus denses que le fluide, et sédimenter, ou être équilibrées en densité. Ces deux cas sont examinés, à l'aide d'une boue modèle. Nous étudions les écoulements de ces boues dans une cellule de Couette. Les expériences utilisent des méthodes innovantes, permettant de mesurer les vitesses des grains individuellement et collectivement, et les profils de concentration sous cisaillement. Les expériences apportent des informations nouvelles sur les écoulements, comme l'existence de courants de re-circulation. Les résultats sur les vitesses azimutales et concentrations sont en accord avec la théorie de Morris et Boulay d'équilibre des forces normales, pour un rapport convenable des coefficients viscométriques des forces tangentielle et normales.