BG - Brasil e do Instituto Brasileiro de Petróleo, Gás e Biocombustíveis / Escoamentos multifásicos estão presentes em diversas atividades industriais como na exploração, produção e transporte de petróleo e gás, onde é comum encontrar escoando por dutos uma mistura de óleo, gás e água. Em muitos casos, o tipo de escoamento determina a eficiência e segurança dos processos e equipamentos onde ocorrem. Com isso, investigações experimentais de escoamento multifásicos são de grande importância no auxilio do desenvolvimento de modelos teóricos e na validação de predições realizadas por simulações, ampliando o entendimento do fenômeno. No passado algumas técnicas para investigação de escoamentos multifásicos foram propostas e aplicadas. Contudo, estas técnicas, na sua maioria, estão limitadas a investigação de escoamentos envolvendo apenas duas fases. Neste trabalho, foi proposta uma nova eletrônica para operar um sensor de malha de eletrodos (Wire-Mesh Sensor) que é capaz de investigar escoamentos contendo até três fases. Inicialmente proposto para visualização de escoamentos bifásicos, o sensor wire-mesh realiza o imageamento da distribuição de fases de uma seção transversal. Com a passagem do escoamento através do sensor, o mapeamento das fases é realizado de forma intrusiva com alta resolução temporal e espacial. Para possibilitar seu uso em escoamentos trifásicos, neste trabalho foi desenvolvida uma nova eletrônica capaz de medir simultaneamente a permissividade elétrica e a condutividade elétrica do fluido presente entre os eletrodos do sensor. O princípio básico do funcionamento é baseado na excitação com duas frequências distintas. Além do hardware foi também desenvolvido um software, onde é possível salvar os dados adquiridos em uma base de dados para futuros estudos. O desempenho da nova eletrônica foi verificado através de medições em componentes (rede RC) com valores de referência. O sistema completo foi utilizado para gerar imagens de uma mistura trifásica ar-óleo-água em condições estáticas e dinâmicas, apresentando bons resultados. Desta forma, a principal contribuição deste trabalho é a disponibilização de uma nova ferramenta para análise de escoamentos multifásicos. / Multiphase flows are present in many industrial activities such as in exploration, production and transportation of oil and gas, in which is common to find a mixture of oil, gas and water flowing inside pipes. In many cases this type of flow determines the efficiency and safety of the processes and equipment where they occur. In this way, experimental investigations of multiphase flow are of great value to develop new theoretical models and to validate predictions made by computer simulations, hence increasing the understanding of the flow phenomena. In this work, a new measuring electronics to operate a wire-mesh sensor (WMS) is introduced. Initially proposed for visualization of two-phase flow, the WMS performs the imaging of the phase distribution of a cross section based on the multiplexed measurement of an electrical property of the fluid in contact with the mesh grid of the sensor. With the passage of flow through the sensor, the phase mapping is realized by intrusive electrodes at high temporal and spatial resolution. To allow its use in multiphase flows, the new electronics developed in this work simultaneously measures the electrical permittivity and electrical conductivity of the media in the mesh grid. The basic idea is to activate the electrodes with a signal composed of two distinct frequencies. Besides the development of the electronics' hardware, a software was also implemented, by which data can be acquired and for future investigation. The performance of the new instrument has been verified by use of components (RC network) with reference values. The developed system was used to generate images of a multiphase mixture of air-oil-water in static and dynamic conditions, showing good results. Thus, the main contribution of this work is to make available a new tool for the investigation of multiphase flows.

ANP; FINEP; MCT; PETROBRAS / Escoamentos multifásicos estão presentes em diversos processos da natureza bem como em atividades industriais como em reatores químicos, plantas de geração de energia, e também na exploração, produção e transporte de petróleo e gás. Na produção de petróleo, é comum encontrar-se escoando pelos dutos, uma mistura que pode conter duas ou mais fases compostas por óleo, gás e água, assumindo diversos padrões de escoamentos com configurações espaciais distintas. Em muitos casos o tipo de escoamento determina a eficiência e segurança dos processos e equipamentos onde ocorrem. Em função disso, várias técnicas já foram desenvolvidas para realizar a investigação experimental de escoamentos em tubulações ou componentes industriais, no entanto, no caso específico do óleo cru, poucas técnicas foram desenvolvidas devido a suas particularidades, como por exemplo, sua alta viscosidade, que em alguns casos impossibilita o uso de técnicas intrusivas, bem como, por ser uma substância isolante eletricamente não é possível o uso de algumas técnicas de medição por impedância. O uso de técnicas ópticas, como por exemplo câmera de vídeo ou sensores ópticos no espectro visível também não pode ser utilizado devido a opacidade natural do petróleo nessa faixa do espectro. No entanto, o uso de técnicas de espectroscopia óptica demonstra ser uma importante técnica para a análise de diversas substâncias devido ao fato do espectro óptico ser único para cada substância, com isso, escolhendo-se um comprimento de onda apropriado, é possível fazer a investigação de uma determinada substância. No caso do óleo cru, ele possui uma alta transparência na faixa do infravermelho médio e distante, o que possibilitaria sua investigação. Juntamente com a espectroscopia óptica, a tomografia óptica é uma importante técnica para a análise de escoamentos bifásicos, por ser não intrusiva e não invasiva, juntamente com uma boa resolução espacial e temporal. Com isso, foram desenvolvidos nesse trabalho dois tomógrafos ópticos na faixa do infravermelho próximo (950 nm) com o intuito de demonstrar a aplicabilidade dessa técnica em escoamentos bifásicos água-ar vertical e horizontal. Também foram realizados diversos testes da transmitância no infravermelho médio (MIR), e testes iniciais de tomografia óptica no petróleo. Os resultados obtidos mostram que essa é uma técnica viável para o desenvolvimento de sensores que possam realizar a investigação de escoamentos que envolvem óleo cru. / Multiphase flows are present in many processes of nature as well as in industrial activities for instance in chemical reactors, power generation plants, as well as in exploration, production and transportation of oil and gas. In oil production, a mixture of two or more phases composed by oil, gas and/or water is commonly found. Such multiphase mixtures stream in pipes and equipment assuming different patterns with different spatial configurations. In numerous situations, flow behavior determines the efficiency and safety of processes and equipment inside which they occur. As a result, various techniques have been developed to investigate multiphase flows. However, in the specific case of crude oil, only a few techniques have been developed and even fewer found use in industrial applications so far. Crude oil is a substance completely opaque in the visible light spectrum. However, optical spectroscopy has proven an important technique for the analysis of several substances due to the fact that the optical spectrum is unique for each substance. In this way, it is possible to investigate different substances by choosing a suitable wavelength. In the case of crude oil, it presents a high transparency in the range of mid and far infrared, which allows for the development of non-invasive measuring techniques. Along with optical spectroscopy, optical tomography has proved an alternative technique for the analysis of flow. Thus, in this work two optical tomograph in the near infrared range (950 nm) were developed in order to demonstrate the feasibility of its use in the investigation of two-phase air-water flows. Several tests of light transmittance through crude oil were conducted in mid-infrared (MIR), as well as initial test of optical tomography in crude oil. The results obtained shown that this is a viable option for flow investigation involving crude oil.

BG - Brasil e do Instituto Brasileiro de Petróleo, Gás e Biocombustíveis / Escoamentos multifásicos estão presentes em diversas atividades industriais como na exploração, produção e transporte de petróleo e gás, onde é comum encontrar escoando por dutos uma mistura de óleo, gás e água. Em muitos casos, o tipo de escoamento determina a eficiência e segurança dos processos e equipamentos onde ocorrem. Com isso, investigações experimentais de escoamento multifásicos são de grande importância no auxilio do desenvolvimento de modelos teóricos e na validação de predições realizadas por simulações, ampliando o entendimento do fenômeno. No passado algumas técnicas para investigação de escoamentos multifásicos foram propostas e aplicadas. Contudo, estas técnicas, na sua maioria, estão limitadas a investigação de escoamentos envolvendo apenas duas fases. Neste trabalho, foi proposta uma nova eletrônica para operar um sensor de malha de eletrodos (Wire-Mesh Sensor) que é capaz de investigar escoamentos contendo até três fases. Inicialmente proposto para visualização de escoamentos bifásicos, o sensor wire-mesh realiza o imageamento da distribuição de fases de uma seção transversal. Com a passagem do escoamento através do sensor, o mapeamento das fases é realizado de forma intrusiva com alta resolução temporal e espacial. Para possibilitar seu uso em escoamentos trifásicos, neste trabalho foi desenvolvida uma nova eletrônica capaz de medir simultaneamente a permissividade elétrica e a condutividade elétrica do fluido presente entre os eletrodos do sensor. O princípio básico do funcionamento é baseado na excitação com duas frequências distintas. Além do hardware foi também desenvolvido um software, onde é possível salvar os dados adquiridos em uma base de dados para futuros estudos. O desempenho da nova eletrônica foi verificado através de medições em componentes (rede RC) com valores de referência. O sistema completo foi utilizado para gerar imagens de uma mistura trifásica ar-óleo-água em condições estáticas e dinâmicas, apresentando bons resultados. Desta forma, a principal contribuição deste trabalho é a disponibilização de uma nova ferramenta para análise de escoamentos multifásicos. / Multiphase flows are present in many industrial activities such as in exploration, production and transportation of oil and gas, in which is common to find a mixture of oil, gas and water flowing inside pipes. In many cases this type of flow determines the efficiency and safety of the processes and equipment where they occur. In this way, experimental investigations of multiphase flow are of great value to develop new theoretical models and to validate predictions made by computer simulations, hence increasing the understanding of the flow phenomena. In this work, a new measuring electronics to operate a wire-mesh sensor (WMS) is introduced. Initially proposed for visualization of two-phase flow, the WMS performs the imaging of the phase distribution of a cross section based on the multiplexed measurement of an electrical property of the fluid in contact with the mesh grid of the sensor. With the passage of flow through the sensor, the phase mapping is realized by intrusive electrodes at high temporal and spatial resolution. To allow its use in multiphase flows, the new electronics developed in this work simultaneously measures the electrical permittivity and electrical conductivity of the media in the mesh grid. The basic idea is to activate the electrodes with a signal composed of two distinct frequencies. Besides the development of the electronics' hardware, a software was also implemented, by which data can be acquired and for future investigation. The performance of the new instrument has been verified by use of components (RC network) with reference values. The developed system was used to generate images of a multiphase mixture of air-oil-water in static and dynamic conditions, showing good results. Thus, the main contribution of this work is to make available a new tool for the investigation of multiphase flows.

Ce travail porte sur la simulation numérique des écoulements multiphasiques compressibles en déséquilibre de vitesses. Un solveur de Riemann diphasique de type HLLC, à la fois robuste, simple et précis est développé et validé à partir de solutions exactes et de données expérimentales. Cette méthode numérique est étendue au cas 3D non-structuré. Par ailleurs, la construction d’une technique numérique pour la répartition de l’énergie d’une onde de choc dans les différentes phases constituant le milieu est établie et permet le respect des conditions de choc multiphasiques. L’extension multiphasique du solveur de Riemann de type HLLC est réalisée, permettant ainsi la simulation d’une plus large gamme d’applications. Enfin, un modèle de transfert de chaleur et de masse dans un brouillard de gouttes ou nuage de bulles, en présence d’effets couplés de diffusion thermique et massiques, est proposé et dévoile des résultats intéressants. / This work deals with the numerical simulation of compressible multiphase flows in velocity disequilibrium. A HLLC-type two-phase Riemann solver is developed and validated against exact solutions and experimental data. This solver is robust, simple, accurate and entropy preserving. The numerical method is then implemented in 3D unstructured meshes. Furthermore, a numerical technique consisting in enforcing the correct energy partition at a discrete level in agreement with the multiphase shock relations is built. The multiphase extension of the HLLC-type Riemann solver is realized and allows the simulation of a wide range of applications. Finally, a droplet heat and mass transfer model with large range of validity is derived. It is valid in any situation: evaporation, flashing and condensation. It accounts for coupled heat and mass diffusion in the gas phase, thermodynamics of the multi-component gas mixture and heat diffusion inside the liquid droplet, enabling in this way consideration of both droplets heating and cooling phenomena.

As crescentes exigências sobre o desempenho de sistemas de bombeamento multifásico combinadas aos aspectos relacionados com a maior disponibilidade operacional desses sistemas, bem como as futuras condições de funcionamento atingindo pressões perto de 150 bar, destacam a importância de desenvolver modelos matemáticos precisos para prever o comportamento do desempenho nestes equipamentos. Nesta tese foi aperfeiçoado o modelo termo-hidráulico de uma bomba multifásica de tipo duplo parafuso desenvolvido por Nakashima (2005) e foram incluídos os efeitos da abertura gradual da última câmara, recirculação de líquido entre a sucção e descarga, transferência de calor através do liner e expansão térmica. Uma vez fornecidos os dados geométricos da bomba e as suas condições de operação, é possível calcular os parâmetros de desempenho mais importantes, como: eficiência volumétrica, vazão de sucção e refluxo, potência consumida e distribuição de pressão e temperatura. As equações implementadas foram desenvolvidas a partir dos balanços de massa e energia nas câmaras, tendo em conta a geometria da bomba e a variação das fendas durante sua operação. As rotinas e métodos necessários para a sua solução numérica foram implementadas utilizando programação orientada a objetos (C++). Os resultados fornecidos pelo modelo aperfeiçoado foram comparados com dados experimentais da literatura e uma boa concordância foi encontrada na faixa de até 95 % FVG, nos casos estudados, para bombas com e sem tecnologia de recirculação. Devido à complexidade dos fenômenos físicos envolvidos durante a operação da bomba, o impacto de cada um dos efeitos incorporados nos cálculos do modelo foi avaliado e discutido individualmente. Assim, foi demonstrada a grande influencia da recirculação, da abertura gradual da câmara de descarga e da expansão térmica nos cálculos dos parâmetros de operação mais importantes da bomba. Além disso, a transferência de calor pode ser considerada desprezível, já que seu valor é baixo quando comparado com a potência fornecida pela bomba e, portanto, não influencia os balanços de energia que determinam os estados termodinâmicos das câmaras. No entanto, esse efeito é necessário para calcular a distribuição de temperatura da bomba e a expansão térmica nos parafusos e no liner. / The increasing requirements about the performance of multiphase pumping systems combined with those related to a higher operational availability of such systems, as well as future operating conditions with pressure increase at about 150 bar, highlights the importance of developing accurate mathematical models to predict the performance behavior of these equipments. In this thesis it was improved the thermo-hydraulic behavior of a twin screw multiphase pump developed by Nakashima (2005), and were included the effects of the gradual opening of the last chamber, fluid recirculation between suction and discharge of the pump, heat transfer though the liner, thermal expansion and different working fluids (water-air and oil-gas). Giving pump geometry and operational conditions, it is possible to calculate the most important pump parameters performance, such as, volumetric efficiency, suction flow, back-flow, power consumption and pressure and temperature distribution. The model equations were developed based on mass and energy balances in the chambers taking into account the pump geometry and the clearance variation due to operation. Its implementation was made in C++. The results obtained by the new model were compared with experimental data of the bibliography, and a good accuracy was found in it with values till 95% GVF for the studied cases, with and without recirculation technology. Due to the physical phenomenon complexity related with the pump operation, the impact of each effect in the model calculations was evaluated and discussed separately. So, it was demonstrated the importance of the recirculation, the gradual opening of the last chamber and the thermal expansion in the calculation of the most important pump operation parameters. However, the heat transfer can be neglected, because its value is very low when compared with the pump power supply, and therefore, it does not influence the energy balances that determine thermodynamic state in the chambers. However, this effect is necessary to calculate the temperature distribution along the pump and the thermal expansion in the screws and the liner.

Operações de produção de petróleo, que utilizam sistemas de bombeamento centrífugo submerso, constantemente encontram a presença de gás livre nos poços, o que pode gerar ou agravar problemas como cavitação e falhas dinâmicas, quando o gás é succionado pela bomba. O separador gravitacional do tipo shroud invertido é uma solução possível para este problema nos casos de operação em poços direcionais de petróleo. O trabalho tem como objetivo apresentar um estudo do diâmetro das bolhas que ocorrem no interior de um separador gravitacional gás-líquido do tipo shroud invertido. A finalidade é o aprimoramento de um modelo fenomenológico do funcionamento deste tipo de separador, aplicado à indústria petrolífera, sendo que o modelo fenomenológico garante total separação de gás, fornecidas determinadas condições. O modelo prevê, através do cálculo da energia cinética turbulenta, o tamanho médio das bolhas carregadas para o seio do líquido por aeração no duto anular. Partindo de estudos anteriores, uma verificação do modelo fenomenológico foi feita utilizando um aparato experimental com misturas bifásicas ar-água e ar-óleo em três diferentes inclinações. O aparato possui dimensões radiais reais de um poço de petróleo offshore. Foi utilizado um sensor 3D ORM para a medição do tamanho médio (sauter) das bolhas arrastadas pelo líquido até a entrada do tubo de produção, em diversas combinações de vazões da mistura água-ar. Esta medição permite o ajuste das correlações que regem o modelo fenomenológico, no que diz respeito às equações dependentes do diâmetro teórico de bolhas arrastadas pela fase líquida. As descobertas provenientes deste estudo foram implementadas em um código computacional que será utilizado pela PETROBRAS, financiadora do projeto, para suas operações de bombeamento. / Oil mining operations powered by centrifugal submersible pumping systems suffer constant setbacks due to the presence of free gas in wells. Decompression in the reservoir liberates this gas in the form of bubbles that, upon reaching the suction end of the pump, cause cavitation and dynamic failures resulting in production and equipment losses. The Inverted-shroud gravitational separator is a possible solution to this problem. This work presents a study on diameters of bubbles that occur inside this separator. The goal is the improvement of the understanding of this kind of separator as well as the enhancement of a previously reported phenomenological model, which ensures total gas separation when the separator is installed in directional wells and under specific operational conditions. Empirically adjusted correlations are used to ensure that all entrained bubbles do not reach the pump. The model was tested for two-phase flows of water-air and oil-air mixtures using three different inclinations. Tests were performed with an experimental apparatus that simulates a pilot-scale well casing with an inverted-shroud separator installed. A 3D ORM particle-size sensor was employed in order to measure the average (sauter) diameter of entrained bubbles that are dragged by the liquid flow towards the end of the production tube. This investigation will be used to improve the reliability of the phenomenological model and reduce its dependency on a theoretical prediction of the bubble size. The findings were incorporated to the final version of an in-house gas separator design software developed at the request of PETROBRAS, the project funder and Inverted-shroud patent holder, for usage on its oil mining operations.

Ce travail porte sur la modélisation de la formation et la dispersion d'un nuage de gouttes, par déconfinement d'un liquide: agression extérieure ou situation accidentelle. Le but est la construction d'un modèle apte à reproduire simultanément les conditions génératrices de la formation du nuage et l'évolution de ce nuage dans le temps (dispersion). La principale difficulté réside en la différence des modèles adaptés à la description d'écoulements caractérisant chaque étape du phénomène global : modèle d'écoulement multiphasique à phases compressibles (milieux continus) initialement, puis fragmentation et formation du nuage de gouttes dispersées dans une phase porteuse (modèle d'écoulements dilués). En l'absence de modèle analytique unique apte à décrire l'ensemble de ces processus, on propose une approche originale pour réaliser un couplage effectif entre ces deux modèles. La problématique de formation et de dispersion de liquide implique la prise en compte de plusieurs phénomènes physiques: fragmentation, transferts de chaleur et de masse ainsi que la traînée entre les phases. Ces différents phénomènes sont introduits dans le modèle global via des termes d'interactions présents dans les systèmes d'équations. La construction de ce modèle complet à permis la réalisation de calculs décrivant la formation et la dispersion d'un nuage de gouttes pouvant intervenir lors de situations accidentelles sur des sites industriels par exemple. / This work focuses on modeling the formation and the dispersion of a cloud of droplets, induced by ejection of a liquid, resulting from an external aggression or an accidental situation. The goal is to build a model able to reproduce simultaneously the conditions which generate the cloud formation and the cloud evolution in time (dispersion). The main difficulty lies in the differences between the already existing models adapted to the description of flows which are able to characterize each stage of the global phenomenon: initially a multiphase flow model with compressible phases (Continuum), then the atomization and the formation of a cloud of droplets dispersed in a carrier phase (dilute flow model). We propose a new approach to achieve an effective coupling between these two models. The problem of the formation and the dispersion of the liquid requires to take into account several physical phenomena: atomization, heat and mass transfers and drag between phases. These phenomena are included in the global model through interaction terms involved in the systems of equations. The construction of this model has permited the realization of calculations describing the formation and dispersion of a cloud of droplets which may occur during, for axample, in accidental situations at industrial sites.

Multiphase transport phenomena primarily encompass the fundamental principles and applications concerning the systems where overall dynamics are precept by phase change evolution. On the other hand, multiscale transport phenomena essentially corroborate to a domain where the transport characteristics often contain components at disparate scales. Relevant examples as appropriate to multiphase and multiscale thermofluidic transport phenomena comprise solid-liquid phase change during conventional solidification process and hydrodynamics through narrow confinements. The additional effect of superimposed magnetic field over such multiphase and multiscale systems may give rise to intriguing transport characteristics, significantly unique in nature as compared to flows without it. The present investigation focuses on multiphase, multi-scale transport phenomena in physical systems subjected to the superimposed magnetic field, considering four important and inter-linked aspects. To begin with, for a multiphase system concerning binary alloy solidification, a normal mode linear stability analysis has been carried out to investigate stationary and oscillatory convective stability in the mushy layer in the presence of external magnetic field. The stability results indicate that the critical Rayleigh number for stationary convection shows a linear relationship with increasing Ham (mush Hartmann number). Magnetohydrodynamic effect imparts a stabilizing influence during stationary convection. In comparison to that of stationary convective mode, the oscillatory mode appears to be critically susceptible at higher values of  (a function of the Stefan number and concentration ratio), and vice versa for lower  values. Analogous to the behaviour for stationary convection, the magnetic field also offers a stabilizing effect in oscillatory convection and thus influences global stability of the mushy layer. Increasing magnetic strength shows reduction in the wavenumber and in the number of rolls formed in the mushy layer. In multiscale paradigm, the combined electroosmotic and pressure-driven transport through narrow confinements have been firstly analyzed with an effect of spatially varying non–uniform magnetic field. It has been found that a confluence of the steric interactions with the degree of wall charging (zeta potential) may result in heat transfer enhancement, and overall reduction in entropy generation of the system under appropriate conditions. In particular, it is revealed that a judicious selection of spatially varying magnetic field strength may lead to an augmentation in the heat transfer rate. It is also inferred that incorporating non–uniformity in distribution of the applied magnetic field translates the system to be dominated by the heat transfer irreversibility. Proceeding further, a semi-analytical investigation has been carried out considering implications of magnetohydrodynamic forces and interfacial slip on the heat transfer characteristics of streaming potential mediated flow in narrow fluidic confinements. An augmentation in the streaming potential field as attributable to the wall slip activated enhanced electromagnetohydrodynamic transport of the ionic species within the EDL has been found. Furthermore, the implications of Stern layer conductivity and magnetohydrodynamic influence on system irreversibility have been shown through analysis of entropy generation due to fluid friction and heat transfer. The results being obtained in this analysis have significant scientific and technological consequences in the context of novel design of future generation energy efficient devices, and can be useful in the further advancement of theory, simulation, and experimental work. Finally, the combined consequences of interfacial electrokinetics, rheology, and superimposed magnetic field subjected to a non-Newtonian (power-law obeying) fluid in a narrow confinement are studied in this work. The theoretical results demonstrate that the applied magnetic field imparts a retarding influence in the induced streaming potential development, whereas, triggers the heat transfer magnitude. Moreover, additional influences of power law index show reduction in heat transfer as well as the streaming potential magnitude. It is unveiled that the optimal combinations of power law index and the magnetic field lead to the minimization of the global total entropy generation in the system.

Dans les premiers instants de l'histoire des planètes telluriques, la chaleur d'accrétion, le chauffage radioactif et la différenciation noyau-manteau apparaissent comme des sources d'énergie capables de fondre le manteau terrestre significativement. L'évolution d'un océan de magma suite à ces évènements catastrophiques dépend des propriétés physiques des matériaux silicatés en conditions mantelliques et de la dynamique convective complexe d'un manteau en cristallisation. Actuellement, certains auteurs proposent que la structure actuelle du manteau profond pourrait être associée à des reliques de la cristallisation d'un océan de magma primitif. Nous avons développé un modèle thermodynamique capable de modéliser de façon auto cohérente des séquences de cristallisation dans les conditions du manteau profond. A partir de ce modèle, nous avons montré que le magma s'enrichit progressivement en fer au cours de la cristallisation. Le liquide résiduel devient ainsi plus dense que la phase solide. Ce modèle thermodynamique suggère un scénario de cristallisation de l'océan de magma similaire à celui proposé par (Labrosse et al., 2007). Celui-ci prédit que la structure actuelle de la base du manteau hériterait de la cristallisation d'un océan de magma primitif. Afin d'étudier l'influence de ce contraste de densité et des profils de liquidus sur la dynamique syn- cristallisation d'un océan de magma, nous avons développé un code de convection multiphasique intégrant changement phase, percolation / compaction et cristallisation fractionnée. Dans ce mémoire, nous présentons des modèles dynamiques préliminaires de cristallisation dans le cas univariant / Early in the history of terrestrial planet, heat of accreation, radioactive deacay and core-mantle segratation may have melted the silicate mantle significantly. Magma ocean evolution depends on both physical properties of materials at relevant P-T conditions and the complex dynamics of a convecting cristallizing mantle. Present deep Earth mantle structures might be direclty linked to the crystallization of a potential magma ocean. We propose a complete thermodynamic model of the solid-liquid equilibrium in the MgO-FeO-SiO2 system which allows to compute self-consistenltly crystallization sequence at deep mantle conditions. The present study shows that, at thermodynamic equilibrium, the first solids that crystallize in the deep mantle are lighter than the liquid as they are more Mg-rich. This further enriches the melt in iron and this residual melt becomes much denser than the solid phase. Both the anti-freeze effect of iron and its high density suggest a mantle crystallization scenario similar to that described in Labrosse et al. (2007) where the ULVZ are iron rich and very fusible remnants of a primordial basal magma ocean. In addition, we have developped a multiphase convection code accounting for solid-liquid phase change, compaction and fractionnal cristallization. This mechanical model is dedicated to the investigation of the effects of various temperature profile and solid liquid density cross-overs on the dynamics of a cristallizing mantle. In this thesis, we show preliminary models illustrating the effect of chemical density contrasts between melt and solid in the case of univariant crystallization

Die vorliegende Habilitationsschrift stellt den erreichten Stand der CFD-basierten Modellierung ein- und mehrphasiger Hochtemperaturprozesse dar. Die hierzu vorgelegten Arbeiten umfassen die Hochdruck-Partialoxidation von Erdgas, die Vergasung fester Einsatzstoffe in einem endothermen Flugstromreaktor und in einem mehrstufigen Wirbelschichtprozess sowie die Synthesegasaufbereitung in einem neuen Quenchreaktor. Der Forschungsschwerpunkt reicht dabei von der Entwicklung neuer Korrelationen zur Beschreibung der Strömungskräfte und des Wärmeübergangs basierend auf partikelaufgelösten Rechenmodellen über die Modellierung der thermochemischen Konversion reaktiver Einzelpartikel bis hin zur Berechnung und Optimierung unterschiedlicher Hochtemperaturreaktoren. / This habilitation thesis discusses the state of the art for the CFD modeling of single-phase and multi-phase high-temperature processes. The presented publications comprise the high-pressure partial oxidation of natural gas, the gasification of solid fuels in entrained-flow gasifiers and multi-stage fluidized-bed gasifier as well as the syngas treatment in a new quench reactor. The scientific approach covers the development of new correlations for flow forces and heat transfer based on particle-resolved numerical models, the modeling of the thermochemical conversion of reactive single particles, and the calculation and optimization of different high-temperature processes.