No description available.

<p>Transition from laminar to turbulent flow has beentraditionally studied in terms of exponentially growingeigensolutions to the linearized disturbance equations.However, experimental findings show that transition may occuralso for parameters combinations such that these eigensolutionsare damped. An alternative non-modal growth mechanism has beenrecently identified, also based on the linear approximation.This consists of the transient growth of streamwise elongateddisturbances, mainly in the streamwise velocity component,called streaks. If the streak amplitude reaches a thresholdvalue, secondary instabilities can take place and provoketransition. This scenario is most likely to occur in boundarylayer flows subject to high levels of free-stream turbulenceand is the object of this thesis. Different stages of theprocess are isolated and studied with different approaches,considering the boundary layer flow over a flat plate. Thereceptivity to free-stream disturbances has been studiedthrough a weakly non-linear model which allows to disentanglethe features involved in the generation of streaks. It is shownthat the non-linear interaction of oblique waves in thefree-stream is able to induce strong streamwise vortices insidethe boundary layer, which, in turn, generate streaks by thelift-up effect. The growth of steady streaks is followed bymeans of Direct Numerical Simulation. After the streaks havereached a finite amplitude, they saturate and a new laminarflow, characterized by a strong spanwise modulation isestablished. Using Floquet theory, the instability of thesestreaks is studied to determine the features of theirbreakdown. The streak critical amplitude, beyond which unstablewaves are excited, is 26% of the free-stream velocity. Theinstability appears as spanwise (sinuous-type) oscillations ofthe streak. The late stages of the transition, originating fromthis type of secondary instability, are also studied. We foundthat the main structures observed during the transition processconsist of elongated quasi-streamwise vortices located on theflanks of the low speed streak. Vortices of alternating signare overlapping in the streamwise direction in a staggeredpattern.</p><p><strong>Descriptors:</strong>Fluid mechanics, laminar-turbulenttransition, boundary layer flow, transient growth, streamwisestreaks, lift-up effect, receptivity, free-stream turbulence,nonlinear mechanism, streak instability, secondary instability,Direct Numerical Simulation.</p> / QC 20100518

Afin de clarifier et caractériser les mécanismes fondamentaux de formation des réseaux étendus cellulaires et dendritiques en régime diffusif, des expériences de solidification dirigée permettant l’observation in situ en temps réel de l’interface solide-liquide d’un alliage transparent ont été réalisées dans l’instrument « DECLIC-DSI» à bord de la Station Spatiale Internationale. Des procédures spécifiques d'analyse d'images ont été développées pour caractériser les réseaux et extraire des données de référence à comparer aux modèles théoriques ou numériques. Les mécanismes d’évolution et de sélection de l'espacement primaire sont décrits et reliés à la courbure macroscopique de l'interface qui apparait comme un paramètre important de la dynamique de réseau. L’obtention de réseaux homogènes étendus nous a permis d'observer des instabilités secondaires du régime cellulaire pour la première fois dans des systèmes tridimensionnels: Oscillation et multiplet structure. Nos analyses mettent en évidence l'absence de cohérence globale de l’oscillation, exceptée dans des zones localement ordonnées dans lesquelles les oscillations de cellules voisines peuvent être synchronisées. Dans une autre gamme de paramètres de contrôle, la formation de multiplets -autre type d'instabilité secondaire- a été observée. La structure et la dynamique de ces multiplets est décrite. Enfin, des essais comparatifs ont été réalisés au sol, pour les mêmes paramètres de croissance, afin de clarifier l'influence de la convection. Les différences entre les expériences au sol et en microgravité, en particulier concernant l'espacement primaire, sont reliées à l'amplitude de la convection. / To clarify and characterize the fundamental physical mechanisms active in the formation of three-dimensional (3D) arrays of cells and dendrites, in situ monitoring of series of experiments on a transparent alloy was carried out under low gravity in the DECLIC-DSI on-board the International Space Station. Image analysis procedures have been developed to characterize the patterns and get benchmark data to compare with theoretical or numerical modelling. The mechanisms of primary spacing evolution and selection are described and related to the macroscopic interface curvature that appeared to be a critical parameter. The extended homogeneous patterns obtained in microgravity enabled us to observe secondary instabilities of the cellular pattern for the very first time in 3D patterns: cell oscillation and multiplet structure. Our analyses highlight the absence of global coherence of cell oscillations, except in locally ordered areas where synchronization of neighbor cells may happen. In another range of control parameters, another type of secondary instability has been identified that corresponds to multiplet formation; the structure and dynamics of those multiplets are also described. Finally, comparative experiments have been performed on ground with similar growth parameters to point out the influence of convection. The differences between ground and microgravity results, especially regarding the primary spacing, are related to fluid flow magnitude.

A presente tese se refere ao estudo do efeito de uma rugosidade tri-dimensional sobre a evolução de ondas Tollmien-Schlichting (T-S) em uma camada limite do tipo Blasius. Os experimentos foram realizados em condições controladas sobre um aerofólio cujo perfil permitiu a obtenção de uma extensa região de escoamento sem gradiente de pressão. As ondas T-S foram excitadas artificialmente utilizando-se uma fonte pneumática localizada a montante da rugosidade. A interação entre a onda T-S gerada e a rugosidade ocorreu a alguns comprimentos de onda a jusante da fonte. Foi utilizado nos experimentos uma rugosidade com altura oscilatória. A freqüência de oscilação da rugosidade foi aproximadamente 1500 vezes menor do que a freqüência das ondas T-S excitadas. Sendo assim, assumiu-se a rugosidade como sendo estacionária em relação as ondas geradas. A medição do comportamento das ondas de instabilidade bem como o campo de velocidade média do escoamento foram feitas utilizando-se a técnica de anemometria a fio quente. Os resultados obtidos mostram uma amplificação de perturbações em uma pequena faixa de números de onda transversal. Comparações entre os resultados experimentais e os obtidos a partir da teoria de instabilidade secundária da camada limite são apresentadas no trabalho. Essas comparações sugerem que nos experimentos ocorreu a amplificação das perturbações devido a instabilidade secundária do tipo K, ou fundamental. / The current thesis is devoted to a study of the effect of a shallow 3-D roughness element on the evolution of a 2-D Tollmien-Schlichting wave in a Blasius boundary layer. The experiments were carried out under controlled disturbance conditions on an airfoil section which could provide a long run with zero pressure gradient flow. A pneumatically driven slit source was used to introduce the T-S wave upstream of the lower branch of the neutral stability curve. A few wavelengths downstream, the T-S wave interacted with a cylindrical roughness element. The height of the roughness was slowly oscillating in time, which allowed a continuous measurement of the T-S wave response downstream of the roughness. The oscillation frequency was approximately 1500 times lower than the frequency of the Tollmien-Schlichting wave and therefore, behaved as a steady roughness with respect to the T-S wave. Hot wire anemometry was used to measure wall normal profiles of longitudinal velocity and spanwise scans close to the maximum of the eigenfunction of the T-S wave. The oscillation of the roughness and the synchronization of all equipments permitted the use of ensemble average techniques. The experimental results were compared with the boundary layer secondary instability theory. The analysis of the compared results suggests that the disturbances were amplified by a resonance mechanism known as K-type or fundamental.

Escoamentos sobre superfícies côncovas estão sujeitos à instabilidade centrífuga, dando origem a vórtices longitudinais, conhecidos como vórtices de Görtler. Esses vórtices são responsáveis por gerar distorções fortes nos perfis de velocidade. Como os vórtices são contra-rotativos, duas regiões surgem entre os mesmos: uma região de upwash e uma região de downwash. Na região de upwash o fluido próximo à parede é jogado para longe da mesma. Na região de downwash acontece o contrário, o fluido que se desloca a uma velocidade maior é jogado em direção à parede. Os vórtices se amplificam inicialmente de forma linear. À jusante na região não linear de desenvolvimento dos vórtices, a amplitude dos mesmos já é elevada, e há a formação de uma estrutura do tipo cogumelo com a distribuição da componente de velocidade na direção principal do escoamento . Essa nova distribuição de velocidade é tridimensional e difere em muito da camada limite obtida com a solução das equações de Blasius. Levando-se em consideração a camada limite térmica, já foi observado que, na média, há um aumento de transferência de calor na direção da parede. No presente trabalho, é verificado numericamente a transferência de calor na presença de vórtices de Görtler. Para tal, foi desenvolvido e implementado um código de simulação numérica direta espacial (DNS - do inglês Direct Numerical Simulation). Os resultados deste trabalho mostram a intensificação da transferência de calor através dos vórtices de Görtler, tanto no regime não-linear como na instabilidade secundária / Flows over concave surfaces are subject to centrifugal instability. It gives rise to stramwise vortices known as Görtler vortices. These vortices are responsible for generating strong distortions in the velocity profiles. As the vortices are counterrotating, two regions arise between them: a region of uowash and a region of downwash. In the upwash region, the fluid near the wall is convected away from it. In the downwash region the opposite happens, the fluid moving at a faster speed is moved towards the wall. The vortices initially amplify linearly in the downstream. When their amplitude is already high, in the non-linear development region, a mushroom-type structure, with the velocity distribution in the main flow direction, is formed. This new three-dimensional velocity distribution is different from the boundary layer obtained with the solution of Blasius equations. Taking into account a thermal boundary layer, on average, an increase in the heat transfer in the wall direction has been observed. In the present work, it is verified numerically the heat transfer in the presence of Görtler vortices. A simulation code was developed and implemanted usin Direct Numerical Simulation (DNS). The results of this work show the intensification of heat transfer through the Görtler vortices both in the non-linear regime and in the secondary instability

No description available.

No description available.

Escoamentos sobre superfícies côncovas estão sujeitos à instabilidade centrífuga, dando origem a vórtices longitudinais, conhecidos como vórtices de Görtler. Esses vórtices são responsáveis por gerar distorções fortes nos perfis de velocidade. Como os vórtices são contra-rotativos, duas regiões surgem entre os mesmos: uma região de upwash e uma região de downwash. Na região de upwash o fluido próximo à parede é jogado para longe da mesma. Na região de downwash acontece o contrário, o fluido que se desloca a uma velocidade maior é jogado em direção à parede. Os vórtices se amplificam inicialmente de forma linear. À jusante na região não linear de desenvolvimento dos vórtices, a amplitude dos mesmos já é elevada, e há a formação de uma estrutura do tipo cogumelo com a distribuição da componente de velocidade na direção principal do escoamento . Essa nova distribuição de velocidade é tridimensional e difere em muito da camada limite obtida com a solução das equações de Blasius. Levando-se em consideração a camada limite térmica, já foi observado que, na média, há um aumento de transferência de calor na direção da parede. No presente trabalho, é verificado numericamente a transferência de calor na presença de vórtices de Görtler. Para tal, foi desenvolvido e implementado um código de simulação numérica direta espacial (DNS - do inglês Direct Numerical Simulation). Os resultados deste trabalho mostram a intensificação da transferência de calor através dos vórtices de Görtler, tanto no regime não-linear como na instabilidade secundária / Flows over concave surfaces are subject to centrifugal instability. It gives rise to stramwise vortices known as Görtler vortices. These vortices are responsible for generating strong distortions in the velocity profiles. As the vortices are counterrotating, two regions arise between them: a region of uowash and a region of downwash. In the upwash region, the fluid near the wall is convected away from it. In the downwash region the opposite happens, the fluid moving at a faster speed is moved towards the wall. The vortices initially amplify linearly in the downstream. When their amplitude is already high, in the non-linear development region, a mushroom-type structure, with the velocity distribution in the main flow direction, is formed. This new three-dimensional velocity distribution is different from the boundary layer obtained with the solution of Blasius equations. Taking into account a thermal boundary layer, on average, an increase in the heat transfer in the wall direction has been observed. In the present work, it is verified numerically the heat transfer in the presence of Görtler vortices. A simulation code was developed and implemanted usin Direct Numerical Simulation (DNS). The results of this work show the intensification of heat transfer through the Görtler vortices both in the non-linear regime and in the secondary instability

Rotating-disk flow has been investigated not only as a simple model of cross flow instability to compare with swept-wing flow but also for industrial flow applications with rotating configurations. However the exact nature of laminar-turbulent transi- tion on the rotating-disk flow is still major problem and further research is required for it to be fully understood, in particular, the laminar-turbulent transition process with absolute instability. In addition the studies of the rotating-disk turbulent boundary- layer flow are inadequate to understand the physics of three-dimensional turbulent boundary-layer flow. In present thesis, a rotating-rotating disk boundary-layer flow has been inves- tigated experimentally using hot-wire anemometry. A glass disk with a flat surface has been prepared to archieve low disturbance rotating-disk environment. Azimuthal velocity measurements using a hot-wire probe have been taken for various conditions. To get a better insight into the laminar-turbulent transition region, a new way to describe the process is proposed using the probability density function (PDF) map of azimuthal fluctuation velocity. The effect of the edge of the disk on the laminar-turbulent transition process has been investigated. The disturbance growth of azimuthal fluctuation velocity as a function of Reynolds number has a similar trend irrespective of the various edge conditions. The behaviour of secondary instability and turbulent breakdown has been in- vestigated. It has been found that the kinked azimuthal velocity associated with secondary instability just before turbulent breakdown became less apparent at a cer- tain wall normal heights. Furthermore the turbulent breakdown of the stationary mode seems not to be triggered by its amplitude, however, depend on the appearance of the travelling secondary instability. Finally, the turbulent boundary layer on a rotating disk has been investigated. An azimuthal friction velocity has been directly measured from the azimuthal velocity profile in the viscous sub-layer. The turbulent statistics normalized by the inner and outer sclaes are presented. / QC 20120529

Transition from laminar to turbulent flow has beentraditionally studied in terms of exponentially growingeigensolutions to the linearized disturbance equations.However, experimental findings show that transition may occuralso for parameters combinations such that these eigensolutionsare damped. An alternative non-modal growth mechanism has beenrecently identified, also based on the linear approximation.This consists of the transient growth of streamwise elongateddisturbances, mainly in the streamwise velocity component,called streaks. If the streak amplitude reaches a thresholdvalue, secondary instabilities can take place and provoketransition. This scenario is most likely to occur in boundarylayer flows subject to high levels of free-stream turbulenceand is the object of this thesis. Different stages of theprocess are isolated and studied with different approaches,considering the boundary layer flow over a flat plate. Thereceptivity to free-stream disturbances has been studiedthrough a weakly non-linear model which allows to disentanglethe features involved in the generation of streaks. It is shownthat the non-linear interaction of oblique waves in thefree-stream is able to induce strong streamwise vortices insidethe boundary layer, which, in turn, generate streaks by thelift-up effect. The growth of steady streaks is followed bymeans of Direct Numerical Simulation. After the streaks havereached a finite amplitude, they saturate and a new laminarflow, characterized by a strong spanwise modulation isestablished. Using Floquet theory, the instability of thesestreaks is studied to determine the features of theirbreakdown. The streak critical amplitude, beyond which unstablewaves are excited, is 26% of the free-stream velocity. Theinstability appears as spanwise (sinuous-type) oscillations ofthe streak. The late stages of the transition, originating fromthis type of secondary instability, are also studied. We foundthat the main structures observed during the transition processconsist of elongated quasi-streamwise vortices located on theflanks of the low speed streak. Vortices of alternating signare overlapping in the streamwise direction in a staggeredpattern. Descriptors:Fluid mechanics, laminar-turbulenttransition, boundary layer flow, transient growth, streamwisestreaks, lift-up effect, receptivity, free-stream turbulence,nonlinear mechanism, streak instability, secondary instability,Direct Numerical Simulation. / QC 20100518