In thermal spraying, semi-molten (or partially-melted) particles are likely to form when the sprayed particles are insufficiently heated, or when a composite material is deposited. The present 2D model serves to begin to assess the spreading behavior of a semi-molten particle when impacting a solid substrate. An Immersed-Boundary (IB) scheme was implemented in an axisymmetric fluid model to simulate fluid flow in the presence of a solid core. The IB method calculates a forcing term, which is added to the momentum equation, to enforce the no-slip boundary condition at the core surface. Results are presented for the impact of a semi-molten tin droplet of radius R for a wide range of solid core radii r, varying the drop size ratio r/R, and the impact velocity Uo.

In thermal spraying, semi-molten (or partially-melted) particles are likely to form when the sprayed particles are insufficiently heated, or when a composite material is deposited. The present 2D model serves to begin to assess the spreading behavior of a semi-molten particle when impacting a solid substrate. An Immersed-Boundary (IB) scheme was implemented in an axisymmetric fluid model to simulate fluid flow in the presence of a solid core. The IB method calculates a forcing term, which is added to the momentum equation, to enforce the no-slip boundary condition at the core surface. Results are presented for the impact of a semi-molten tin droplet of radius R for a wide range of solid core radii r, varying the drop size ratio r/R, and the impact velocity Uo.

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On s'intéresse dans ce travail à la modélisation d'un écoulement diphasique gaz-liquide co-courant descendant dans les réacteurs à lit fixe de particules, procédé largement utilisé dans le domaine industriel. En raison de la complexité de l'écoulement, induite par les nombreuses configurations multiphasiques pouvant coexister au sein du lit, les modèles développés directement à l'échelle du réacteur sont généralement issus d'approches semi-empiriques, en considérant l'écoulement homogène. Or, il a été observé que des hétérogénéités locales, géométrique et hydrodynamique, telle qu'une mal-distribution de la phase liquide, entrainaient une diminution du taux de réaction et conduisait les modèles existants à surestimer la productivité d'un réacteur. La nécessité de prendre en compte les phénomènes microscopiques dans un modèle macroscopique à l'échelle du réacteur rend l'utilisation d'approches multi-échelles indispensable. L'écoulement étant cependant d'une nature complexe, le changement d'échelle ne peut se faire de façon directe et nécessite donc la mise en place d'outils de modélisation adaptés à une échelle intermédiaire. Dans une première étape, la méthode de simulation numérique directe ``Volume-Of-Fluid'' (VOF) est validée dans le cas d'un film ruisselant dans un tube capillaire. Cette méthode est ensuite utilisée, à l'échelle microscopique, afin de proposer et de valider des relations de fermeture pour un modèle de type ``réseau de pores'' pouvant être utilisé à une échelle intermédiaire, celle du Volume Elémentaire Représentatif. Ce changement d'échelle est tout d'abord effectué dans le cas d'un lit fixe en deux dimensions, c'est-à-dire un empilement de cylindres entre deux plaques. Cette configuration permet la mise en place d'un dispositif expérimental qui, couplé à des simulations VOF 2D à plus grande échelle, valide l'approche de type "réseau de pores" adoptée. Le modèle réseau est ensuite étendu au cas d'un lit fixe réel, c'est-à-dire en trois dimensions, dont la géométrie est obtenue par micro-tomographie. Les lois de comportement locales sont redéfinies à l'aide de simulations numériques directes à l'échelle microscopique. Les résultats provenant de simulations de type « réseaux de pore » sont ensuite confrontés, dans le cas d'une répartition homogène des phases, aux modèles 1D habituellement utilisés pour les écoulements diphasiques en lit fixe. Enfin, une campagne expérimentale est menée afin d'observer, par imagerie scanner, l'étalement d'un jet de liquide sur un empilement de grains. Une comparaison qualitative est ensuite effectuée entre les observations expérimentales et les simulations numériques réseaux dans le cas spécifique de l'étalement d'un jet de liquide / We study in this work the modelling of two-phase cocurrent downflows in fixed bed reactors, a process widely used in industry. Due to the flow complexity, i.e., the presence of different interface configurations and, therefore, different phase interactions, most models have been developed using empirical approaches, with the assumption of a homogeneous flow in the reactor. However, several studies showed that local heterogeneities, geometric and hydrodynamic, such as the liquid distribution, could have a great influence on the flow at the reactor-scale and, therefore, on the reactor performance. Consider the microscopic phenomena in a macroscopic model require the use of multi-scale approaches. However, due to the flow complexity, the upscaling cannot be done directly and requires the development of modelling tools suitable for an intermediate scale. In a first step, the direct numerical method \ Volume-Of-Fluid" (VOF) is validated in the case of a two-phase flow in a capillary tube with the presence of a thin film. Then, this method is used, at a microscopic level to propose and validate closure laws for a pore-network model which will be used to simulate the flow at the intermediate scale. This upscaling approach is first tested in a two-dimensional case,i.e., an array of cylinders between two walls. This configuration allows the set up of an experimental approach, coupled with 2D VOF simulations at the intermediate scale, in order to validate the pore-network approach. The pore-network approach is then extended to a real fixed bed, i.e. in three dimensions, whose geometry is obtained by micro-tomography. Local laws of the pore-network model are redefined using direct numerical simulations at a microscopic scale. Pore-network simulations are then compared, for a homogenous phase distribution, with 1D models typically used for two-phase flow in fixed beds. Finally, an experimental campaign was set up to observe, by imaging scanner, the spreading of a liquid jet on a fixed bed pilot. A qualitative comparison is then performed between experimental observations and pore-network simulations in the specific case of the spreading of a liquid jet

Ce travail porte sur l’étude du procédé de projection plasma par voie liquide et en particulier sur l’interaction entre la phase liquide et l’écoulement de plasma. Différents phénomènes physiques ont lieu comme la fragmentation du jet, l’évaporation du liquide et la fusion des particules. La simulation numérique permet de mieux comprendre les phénomènes physiques et vient en appui des expériences qui sont parfois difficiles voire impossibles à réaliser. Un modèle compressible diphasique est développé afin de prendre en compte les effets compressibles du plasma. Des validations sont réalisées sur des cas test académiques et sur un jet d’argon pur. De bons accords sont obtenus entre les simulations et la théorie ou les expériences. Ensuite différents mélanges de gaz plasmagènes, classiquement utilisés en projection plasma, sont étudiés : l’argon/hydrogène et l’argon/hélium.Une analyse du caractère instationnaire et turbulent est ensuite menée et permet de voir l’importance des effets instationnaires dans ces écoulements. Puis des simulations de l’injection de la phase liquide sous forme de gouttes ou de jet continu dans l’écoulement de plasma sont réalisées. L’influence de la nature des gaz plasmagènes et du mode d’injection est démontrée. Les structures observées expérimentalement sont également obtenues parles simulations. / The study of the plasma spraying process is investigated in this work, in particular the interaction between a liquid phase and a plasma flow. Different physical phenomena occureas the jet fragmentation, the liquid vaporization and the particles fusion. The numerical simulation is used to better understand the physical phenomena and is an alternative to experimental measurements, which could be locally difficult to perform because of the measurement techniques limitations and the particular characteristics of the plasma. A compressible two-phase model is developped to take into account the compressible effects of the plasma flow. Validations are realized on academic test cases and on a argonjet. Good agreements are obtained between simulations and theory or experiments. Then different mixtures of plasmagen gas, classically used in plasma spraying, are studied :argon/hydrogen and argon/helium. An analysis of unsteady and turbulent character isled and allows seeing the importance of unsteady effects in these flows. Numerical simulations of the injection of a liquid phase into the plasma flow are realized. The influence of the plasmagen gas nature and the injection type is anlysed. Structures observed by experiments are also obtained by the simulations.

Cette thèse montre le développement d’un code de calcul pour les simulations numériques directes d’écoulements diphasiques compressibles avec évaporation. Un couplage entre les méthodes Level Set et VOF est réalisé pour le suivi d’interface. Afin de résoudre les équations de la mécanique des fluides, une méthode basée sur la pression est employée et, pour découpler la vitesse de la pression, une méthode de projection est effectuée. Cette méthode permet l’implicitation des termes liés à l’acoustique et donc de diminuer la contrainte sur le pas de temps. Le liquide et le gaz sont traités de manière compressible permettant des variations locales des masses volumiques grâce à l’utilisation d’équations d’état. L’évaporation est simulée de deux manières différentes ; une première, où un taux d’évaporation constant est employé et une seconde, où ce taux est calculé par la thermique. Parallèlement à ce sujet, une étude de la distribution des courbures dans une injection de liquide est réalisée. Cette étude permet d’étendre le concept de distribution des tailles de gouttes dans un spray et d’améliorer les informations disponibles dans le modèle ELSA. Enfin, une autre étude est effectuée sur la recherche d’un critère, basé sur les courbures à l’interface, pour estimer la qualité d’une simulation. / This PhD thesis shows the development of a numerical method for solving two-phase flows with vaporisation. A coupling between Level Set and VOF methods is realised for the interface capturing. In order to solve fluid mechanics equations, a pressure based method is employed and, to decouple velocity and pressure, a projection method is performed. This method allows the implicitation of the acoustic terms and the time step constraint reduction. Liquid and gas are considered as compressible allowing local density variations with equations of state. The vaporisation is computed in two different ways ; a first one where the vaporisation rate is constant and a second one, where this rate is calculated by thermodynamics. Along with this topic, a study on curvature distribution in a liquid injection configuration is realised. This study allows to extend the drop size distribution concept in a spray and to improve available informations on ELSA model. Finally, an other study is performed on thedevelopment of a criterion, based on interface curvatures, which estimates the quality of a simulation.

Cette thèse propose une modélisation numérique 2D des écoulements en zone de jet de rive avec un code Volume-Of-Fluid. Dans un premier temps, le détail de la structure interne de l’écoulement de jet de rive généré par l’effondrement d’un front d’onde turbulent sur une plage imperméable lisse est étudié. Le modèle numérique est ensuite étendu à la simulation des écoulements en milieu poreux internes à la plage. L’utilisation d’une unique équation de quantité de mouvement (VARANS) et de la méthode 1-fluide, permet de résoudre simultanément les écoulements de l’eau et de l’air à la surface et dans une plage perméable. Ce modèle a été confronté à une série de cas tests analytiques et à de récentes mesures expérimentales. Les résultats numériques montrent l’aptitude du modèle VOF-VARANS à reproduire les écoulements en zone de jet de rive sur une plage imperméable fixe. / A 2D numerical modeling of flows in the swash zone is proposed using a Volume-Of- Fluid code. The detailed flow structure of a bore-driven swash event over an impermeable beach is first studied. The numerical model is then developed to account for porous media flow within the beach. The unique VARANS momentum equation and 1-fluid method used allow to solve simultaneously both surface and subsurface flows of air and water phases in the swash zone. This model is validated against a series of analytical tests cases and confronted to recent experimental measurements. The numerical results highlight the ability of the VOF-VARANS model to reproduce swash flows over and within a permeable beach.

[pt] No presente trabalho estudou-se numericamente a instabilidade das ondas na interface do escoamento estratificado de água e óleo em um canal plano. Esse padrão de escoamento, associado ao estágio inicial da formação de golfada, é comum em aplicações industriais, de áreas como produção de petróleo, nuclear, química e muitas outras. Através da introdução de perturbações controladas na interface do escoamento estratificado, analisou-se a evolução dessas perturbações à luz das teorias de estabilidade hidrodinâmica. Os experimentos numéricos foram realizados utilizando o método de Volume of Fluid (VOF) do simulador comercial ANSYS Fluent versão 15.0. Analisou-se o comportamento do escoamento em dois regimes distintos com relação a amplitude das ondas interfaciais. No primeiro regime, empregaram-se ondas pequenas o suficiente para que efeitos não lineares fossem desprezíveis. Os resultados obtidos apresentaram boa concordância com as previsões fornecidas por um solver das equações de Orr-Sommerfeld, para escoamento bifásico estratificado em um canal, indicando que a ferramenta numérica foi capaz de reproduzir o comportamento das ondas interfaciais. Mostrou-se que existe uma faixa de amplitudes, em torno de 0,2 porcento da altura do canal, a partir da qual os efeitos não lineares se tornam relevantes. No regime não linear foram avaliados diferentes cenários de interação não linear entre ondas, os quais geralmente são associados a transição do regime do escoamento estratificado para golfadas. Identificou-se o cenário mais relevante, analisando-se,a eficiência de cada uma dessas interações isoladamente. Observou-se que interações não lineares entre ondas de comprimento parecido são as que crescem mais rapidamente. Esse mecanismo parece ser dominante também na presença de um grande número de ondas, como é o caso esperado em um evento natural. Utilizou-se um modelo fracamente não linear, baseado nas equações de Stuart-Landau, para modelar o comportamento das ondas no escoamento, obtendo-se excelente concordância com os resultados das simulações. Isso é interessante do ponto de vista prático, pois sugere que modelos não lineares simples, como é o caso da equação de Stuart-Landau, podem ser implementados para melhorar as ferramentas utilizadas para prever mudanças de regime em escoamentos bifásicos. / [en] In the present work, the instability of waves at the interface of the stratified flow of water and oil in a plane channel was numerically studied. This flow pattern, which is associated with the initial stages of slug formation, is common in industrial application in areas such as oil production, nuclear, chemical and many others. Through the introduction of controlled perturbations at the interface of a stratified flow, the evolution of the perturbations was analyzed based on hydrodynamics stability theories. Numerical experiments were performed using the Volume of Fluid (VOF) method of the ANSYS Fluent release 15.0 commercial simulator. The behavior of the flow in two different regimes with respect to the amplitude of the interfacial waves was analyzed. In the first regime, small enough waves were employed so that non-linear effects were negligible. The results obtained presented good agreement with the predictions provided by a solver of the Orr-Sommerfeld equations for stratified two-phase flow in a channel, indicating that the numerical tool was able to reproduce the behavior of the interfacial waves. It was shown that there is a range of amplitudes, around 0.2 per cent of the channel height, above which the non-linear effects become relevant. In the nonlinear regime, different scenarios of nonlinear interaction between waves, which are usually associated with transition from stratified flow pattern to slug flow, were evaluated. The most relevant scenario was identified, based on the efficiency of each independent interaction. It was observed that non-linear interactions between waves of similar length present the fastest growth. This mechanism seems to be dominant also in the presence of a large number of waves, as present in natural events. A weakly nonlinear model, based on the Stuart- Landau equations, was employed to model the wave behavior in the flow, obtaining an excellent agreement with the results of the simulations. This is interesting from a practical point of view, since it suggests that simple nonlinear models, such as the Stuart-Landau equation, can be implemented to improve the tools used to predict regime changes in two-phase flows.

This thesis explores the topic of flow of two immiscible liquids in horizontal pipeline. For this purpose, the experimental apparatus has been set up, that allows to observe the flow of mixture through the transparent pipe. Moderately viscous oil and water (viscosity ratio: 52,81, density ratio: 0.86, interfacial tension: 41,64 mN/m) have been chosen for the experiment. Both fluids were introduced into the pipe through a T-junction. At the end of the apparatus, a mixture of liquids flowed into the separation tank, where both phases were separated. The separated oil was then reused for further measurements. The oil and water flow rates could be individually changed by use control valves, that led to identification of different flow regimes. These varied from stratified flows to fully dispersed ones as the mixture speed increased. All observed flow regimes were plotted in the flow map, that is a function of the inlet velocities of both fluids. For further analysis, a second type of flow map has been created that displays rates as a function of mixture velocity and phase volume fraction. Selected regime was also simulated using software ANSYS FLUENT. The VOF method was used to simulate multiphase flow. This thesis critically evaluates the results of the study and shows the direction for further research in the field of immiscible liquids flow.