L'accumulation du soluté à la surface d'une membrane entraîne le phénomène de polarisation de concentration. Ceci est un problème qui affecte tous les systèmes de filtration membranaire car il a pour effet une augmentation de la pression osmotique et par conséquence une réduction substantielle du flux de perméat. Afin de comprendre ce phénomène, nous avons d'abord mené une étude analytique de la filtration tangentielle en solvant pur prenant en compte de l'influence de la pression motrice locale sur le taux de perméation. Lors de cette étude, des solutions analytiques qui augmentent en précision avec l'ordre développé ont ete dérivées. Ensuite nous avons développé une approche analytique qui couple l'hydrodynamique aux transferts de matière pour le cas d'un système de filtration qui opère sous haute pression avec un taux de récupération faible. Dans le but d'intégrer à la fois la dépendance de la pression transmembranaire locale sur le flux de perméat et l'influence de la polarisation de concentration à travers leurs effets osmotiques sur la pression effective, nous avons développé un modèle numérique qui résout l'équation de conservation du soluté couplée aux équations de Navier-Stokes en régime stationnaire dans l'approximation de Prandtl. Nous avons validé cette approche grâce aux solutions analytiques précédemment dérivées. Ensuite, nous avons testé l'influence des principaux paramètres de fonctionnement sur la performance du système et comparé nos résultats avec ceux d'autres modèles numériques. Finalement, la pertinence du modèle a été quantitativement vérifiée grâce à des données tirées des expériences bien documentées en osmose inverse. / Concentration polarization of solute at the membrane surface, because of osmotic pressure effects, is an important phenomenon that can cause substantial reductions in permeation. To understand these phenomena: we first analyze the filtration process for a pure solvent, imposing the influence of the driving pressure on permeation at the membrane. We obtain accurate analytical solutions for the flow fields. We then derive an analytical solution that coupled hydrodynamics to mass transfer for filtration systems working in a situation of High Pressure and Low Recovery. Second, we develop a numerical model that incorporates both physical aspects: the dependency of pressure on permeation and the influence of concentration polarization and their related osmotic effects in the effective pressure at the membrane. For that, the numerical approach solves the solute conservation equation coupled with the Navier-Stokes equations under the steady Prandtl approximation. The solution of the system is performed using a finite difference method of order 2. The validity of this approach is successfully demonstrated with the previous analytical solutions for hydrodynamics, as well as for the coupling with mass transfer. We then test the influence of the main operating parameters (inlet concentration, axial flow rate, operating pressure and membrane permeability) on the performance of the filtration system and compare the results with other numerical models that takes into account concentration polarization phenomenon. Finally, the validity of this model is quantitatively well-proved when using the reported data resulting from reverse osmosis experiments.

Pracovní podmínky atomizérů v reálných operacích v průmyslu a zemědělství se liší od podmínek laboratorních, ve kterých jsou atomizéry testovány. Částečné přiblížení k realističtějším podmínkám nám může poskytnout použití větrného tunelu. Větrný tunel se používá k simulaci okolního proudění. Studium spreje ve větrném tunelu nám poskytne realističtější představu o chování spreje. Tato diplomová práce se zabývá návrhem malého, nízko rychlostního větrného tunelu pro experimenty s tlakovými vířivými tryskami s obtokem v příčném a podélném proudění. Existuje mnoho typů větrných tunelů, ale jako nejvhodnější typ byl zvolen otevřený, výtlačný větrný tunel s uzavřenou testovací sekcí. Výhodou jsou jeho kompaktní rozměry, ochrana částí tunelu před kapičkami spreje a poměrně jednoduchý návrh. Konstrukce větrného tunelu se skládá z několika částí, každá část je zkonstruována tak, aby bylo dosaženo co nejlepší kvality proudu v testovací sekci. Sprej je zkoumán pomocí optických metod Fázové Dopplerovské anemometrie (PDA), Laserové Dopplerovské anemometrie (LDA), Integrální laserová anemometrie (PIV) a pomocí vysokorychlostního záznamu. Tyto optické metody kladou speciální požadavky na konstrukci tunelu, především na konstrukci testovací sekce, která musí umožňovat optický přístup ke spreji a musí být pro tyto měřící techniky uzpůsobena. Rychlost v testovací sekci se pohybuje v rozmezí 0 až 40 m/s s intenzitou turbulence pod 0,7 %. V závěru práce je ukázka vizualizace spreje, v příčném proudění, pomocí vysokorychlostní kamery. Okolní proudění mění rozpadovou vzdálenost spreje, úhel kužele spreje i jeho tvar. Dochází k vymývání menších kapek, které jsou unášeny okolním proudem.

This diploma thesis deals with calculation methods of heat exchanger with cross-flow tube bundle. The first part of the thesis contains summary of generally known basic calculation relations used in calculations of heat exchangers and a detailed description of a given heat exchanger.The second part of the thesis provides a description of available calculation methods of a given aparatus required for its thermal and hydraulic calculation. The final part describes application POST in 1.0 which has been formed on the basis of these calculation methods. Using this application check calculation of exchanger with cross-flow tube bundle was carried out and gained figures compared with results gained by means of professional calculation program HTRI.

Mikrosiebe stellen auf Grund ihrer Geometrie einen geringeren Strömungswiderstand im System dar und ermöglichen somit eine höhere Filtrationsgeschwindigkeit. Der Einsatz solcher Mikrosiebe anstelle herkömmlicher Membranen in Filtrationsprozessen kann deren Effizienz enorm steigern. Im Rahmen der Diplomarbeit wurden mittels partikelassistierter Benetzung hergestellte Mikrosiebe charakterisiert. Hierfür wurde zunächst ein Filtermodul für Kreuzstromfiltrationen entwickelt, welches anschließend in einen Versuchsaufbau integriert und charakterisiert wurde. Neben den Strömungswiderständen der rechteckigen Kanäle des Moduls wurde außerdem der Strömungswiderstand für Mikrosiebe einer Porengröße bestimmt und mit der Theorie verglichen. Es zeigt sich, dass Theorie und Praxis gut übereinstimmen und es sich bei dem entwickelten Versuchsaufbau um eine gute Methode handelt Strömungswiderstände von Mikrosieben zu bestimmen.

[pt] O teste de injetividade consiste em injetar uma fase, usualmente água, em um reservatório de óleo para coletar informações sobre ele. Conhecer os parâmetros do reservatório pode ser valioso para melhorar a produção de óleo. Muitos estudos têm sido apresentados a respeito do comportamento da pressão em reservatórios multicamadas sob escoamento de fluxo monofásico e, também, durante os testes de injetividade. No entanto, uma solução analítica para o comportamento da pressão em reservatórios de múltiplas camadas durante os testes de injetividade é bem conhecida apenas quando o fluxo cruzado de formação não é considerado. Portanto, o presente trabalho apresenta um modelo analítico no espaço de Laplace para reservatórios radialmente compostos multicamadas considerando o fluxo cruzado de formação sob fluxo monofásico e, então, para reservatórios multicamadas com fluxo cruzado de formação sob fluxo bifásico. A precisão da solução proposta foi verificada através da comparação com um simulador numérico de fluxo. Os resultados fornecidos pelo modelo analítico e pelos dados numéricos foram consistentemente semelhantes. Além disso, os dados obtidos pela solução analítica foram utilizados para estimar a permeabilidade equivalente do reservatório. Os valores calculados apresentaram uma aproximação satisfatória para todos os casos. / [en] The injectivity test consists of injecting a phase, usually water, into an oil reservoir in order to collect information about it. Knowing these reservoir s parameters can be valuable in order to improve oil production. Many studies have been presented regarding the behavior of pressure in multilayered reservoirs under single phase fluid flow and, also, during injectivity tests. However, an analytical solution for pressure behavior in multilayered reservoirs during injectivity tests is well known only when the formation crossflow is not considered. Therefore, the present work attempts to develop an analytical model in the Laplace space for multilayered radially composite reservoirs with formation crossflow under single phase fluid flow, and then, for multilayered reservoirs with formation crossflow under two phase fluid flow. The accuracy of the proposed solution was verified by comparison with a finite difference flow simulator. The results provided by the analytical model and by the numerical data were consistently similar. Furthermore, the data obtained by the analytical solution was used to estimate the reservoir s equivalent permeability. Calculated values presented a satisfactory accuracy for all cases.

The flow field of a twin jet impinging on ground plane with and without free-stream and at low jet-height-to-diameter ratios was investigated using the Particle Image Velocimetry (PIV) technique. Detailed, time-averaged flow field data are obtained via the high-resolution and the high-sampling rate instantaneous velocity field that is made available via the PIV technique. A model of twin jet issuing from 0.245m circular plate, with 0.019m jet exit diameter, and with jet span to diameter ratio of 3.0 is placed in a water tunnel with the jets in tandem arrangement with respect to the free-stream. The recently upgraded PIV system, in the ESM department fluid mechanics laboratory at VA-Tech, allowed us to capture instantaneous velocity field images of about 0.076m x 0.076m, at 512(H)x512(V) frame resolution. Sampling rates of 1000 and 1200 fps were employed. Understanding the flow field at lower heights is of crucial significance to the VSTOL aircraft application. Huge jet thrust is required to initiate the take-off operation due to the high lift loss encountered while the airframe is in proximity to the ground. Therefore, jet-height-to-diameter ratios of 2 and 4 were employed in this study. Jet-to-free-stream velocity ratios of 0.12, 0.18 and 0.22 were employed in addition to the no-free-stream case. In the current study, only time-averaged flow field properties were considered. These properties were extracted from the available instantaneous velocity field data. In order to provide some details in the time-averaged velocity field, the data were obtained along several planes of interrogation underneath the test model in the vicinity of the twin jet impinging flow. Images were captured in a single plane normal to the free-stream and five planes parallel to the free-stream. A vortex-like flow appears between the main jet and the fountain upwash. This flow is found to experience spiral motion. The direction of such flow spirals is found to be dependent on the jet exit height above the ground, and on the jet-to-free stream, velocity ratios. The flow spirals out towards the vortex flow periphery and upon increasing the free-stream it reverses its direction to be inward spiraling towards the core of the vortex. The flow reversal at certain height of the jet above the ground depends on the free-stream velocity. In our discussion, more emphasis is given to the case of jet-height-to-diameter ratio of two. We also found that the largest turbulent kinetic energy production rate is found to be at the fountain upwash formation zone. / Master of Science

[pt] Diante dos cenários de produção cada vez mais desafiadores, a indústria de petróleo tem sido forçada a expandir os limites operacionais para vazões, temperaturas e pressões mais elevadas. Como consequência, cenários mais rigorosos são encontrados, levando à redução da vida útil dos equipamentos atuais, como por exemplo, a falha prematura por fadiga de linhas de controle de poços com completação inteligente. Estas linhas encontram-se expostas ao escoamento turbulento na região anular da coluna de produção, causando vibrações e tensões suficientemente altas, podendo levar a uma falha prematura das linhas por fadiga. Para prevenir estes problemas e desenvolver projetos mais eficientes, é necessário investigar os fenômenos associados a interação da vibração da linha com os desprendimentos de vórtices do escoamento. Estes foram modelados utilizando-se a metodologia DDES (Delayed Detached Eddy Simulation), o que requer alto custo computacional, devido à necessidade de utilização de pequenos passos de tempo e de espaçamento de malha. Buscando reduzir o custo computacional para a modelagem do problema, propõe-se, neste trabalho, tratar de forma desacoplada a análise estrutural e de fluidodinâmica. As forças atuantes nas linhas de controle no espaço anular do poço de completação são obtidas desprezando-se a flexibilidade das linhas. Paralelamente, o fator de amortecimento crítico, necessário para a análise estrutural da vibração da linha, é obtido através de uma simulação Fluido- Estrutura de um escoamento cruzado a um cilindro elástico. Os resultados obtidos mostram que a presente metodologia é promissora, pois permite uma representação dos fenômenos envolvidos melhor do que a encontrada nos procedimentos atualmente disponíveis na literatura. / [en] In face of increasingly challenging production scenarios, the oil industry has been forced to expand operational limits to higher flow rates, temperatures, and pressures. Therefore, challenging production scenarios are found, from integrity standpoint, leading to reduction in current equipment life expectancy. Premature failure of control lines due to fatigue in wells with intelligent completion is one of the problems that arises from those extreme conditions. These lines are exposed to turbulent flow in the annular region of the production string, causing sufficiently high vibrations and stresses. These dynamic stresses can lead to premature failure of the lines due to fatigue. To prevent these problems, and to develop more efficient designs, it is necessary to investigate the phenomena associated with the interaction of the line vibration with the vortex shedding of the flow. We modeled the phenomena using the DES (Delayed Detached Eddy Simulation) methodology, which has high computational cost due to the need of using small time steps and high mesh refinement. In order to reduce these computational costs, this work proposes to deal with structural and fluid dynamics analysis in a decoupled way. The forces acting on the control lines in the annular space of the completion well are obtained neglecting the flexibility of the lines. In parallel, the critical damping factor, necessary for the structural vibration analysis of control lines, is obtained through a Fluid-Structure Interaction (FSI) simulation of an elastic cylinder subjected to cross flow. The results obtained show that the present methodology is promising, allowing a better representation of the involved phenomena, compared to procedures currently available in the literature.

No description available.

A non-reactive model system comprising a highly concentrated and unstable oil-in-water emulsion was used to investigate the retention of oil by the membrane in producing biodiesel with a membrane reactor. Critical flux was identified using the relationship between the permeate flux and transmembrane pressure along with the separation efficiency of the membrane. It was shown that separation efficiencies above 99.5% could be obtained at all operating conditions up to the critical flux. It was observed that the concentration of oil in all collected permeate samples using the oil-water system was below 0.2 wt% when operating at a flux below the critical flux. Studies to date have been limited to the characterization of low concentrated emulsions below 15 vol.%. The average oil droplet size in highly concentrated emulsions was measured as 3200 nm employing direct light scattering (DLS) measurement methods. It was observed that the estimated cake layer thickness of 20 to 80 mm was larger than external diameter of the membrane tube i.e. 6 mm based on a large particle size. Settling of the concentrated emulsion permitted the detection of a smaller particle size distribution (30-100 nm) within the larger particles averaging 3200 nm. It was identified that DLS methods could not efficiently give the droplet size distribution of the oil in the emulsion since large particles interfered with the detection of smaller particles. The content of the smaller particles represented 1% of the total weight of oil at 30°C and 5% at 70°C. This was too low to be detected using DLS measurements but was sufficient to affect ultrafiltration. In order to study the critical flux in the presence of transesterification reaction and the effect of cross flow velocity on separation, various oils were transesterified in another membrane reactor providing higher cross flow velocity. higher cross flow velocity provides better separation by reducing materials deposition on the surface of the membrane due to higher shearing. The oils tested were canola, corn, sunflower and unrefined soy oils (Free Fatty Acids (FFA< 1%)), and waste cooking oil (FFA= 9%). The quality of all biodiesel samples was studied in terms of glycerine, mono-glyceride, di-glyceride and tri-glyceride concentrations. The composition of all biodiesel samples were in the range required by ASTM D6751 and EN 14214 standards. A critical flux based on operating pressure in the reactor was reached for waste cooking and pre-treated corn oils. It was identified that the reaction residence time in the reactor was an extremely important design parameter affecting the operating pressure in the reactor. / Natural Sciences and Engineering Research Council of Canada (NSERC)

A non-reactive model system comprising a highly concentrated and unstable oil-in-water emulsion was used to investigate the retention of oil by the membrane in producing biodiesel with a membrane reactor. Critical flux was identified using the relationship between the permeate flux and transmembrane pressure along with the separation efficiency of the membrane. It was shown that separation efficiencies above 99.5% could be obtained at all operating conditions up to the critical flux. It was observed that the concentration of oil in all collected permeate samples using the oil-water system was below 0.2 wt% when operating at a flux below the critical flux. Studies to date have been limited to the characterization of low concentrated emulsions below 15 vol.%. The average oil droplet size in highly concentrated emulsions was measured as 3200 nm employing direct light scattering (DLS) measurement methods. It was observed that the estimated cake layer thickness of 20 to 80 mm was larger than external diameter of the membrane tube i.e. 6 mm based on a large particle size. Settling of the concentrated emulsion permitted the detection of a smaller particle size distribution (30-100 nm) within the larger particles averaging 3200 nm. It was identified that DLS methods could not efficiently give the droplet size distribution of the oil in the emulsion since large particles interfered with the detection of smaller particles. The content of the smaller particles represented 1% of the total weight of oil at 30°C and 5% at 70°C. This was too low to be detected using DLS measurements but was sufficient to affect ultrafiltration. In order to study the critical flux in the presence of transesterification reaction and the effect of cross flow velocity on separation, various oils were transesterified in another membrane reactor providing higher cross flow velocity. higher cross flow velocity provides better separation by reducing materials deposition on the surface of the membrane due to higher shearing. The oils tested were canola, corn, sunflower and unrefined soy oils (Free Fatty Acids (FFA< 1%)), and waste cooking oil (FFA= 9%). The quality of all biodiesel samples was studied in terms of glycerine, mono-glyceride, di-glyceride and tri-glyceride concentrations. The composition of all biodiesel samples were in the range required by ASTM D6751 and EN 14214 standards. A critical flux based on operating pressure in the reactor was reached for waste cooking and pre-treated corn oils. It was identified that the reaction residence time in the reactor was an extremely important design parameter affecting the operating pressure in the reactor. / Natural Sciences and Engineering Research Council of Canada (NSERC)