Using current technology, it is now possible to probe material at atomic length scales, increasing our fundamental understanding of material behavior and properties. Metastable β titanium alloys are a subset of titanium alloys with huge potential for the aerospace sector. However, they exhibit atomic transformations which, even after 60 years of research, are still disputed. For example, these alloys are strengthened using the ω phase, but the mechanism by which this phase forms and its stability are still in question. The aim of this PhD project was to investigate the strengthening of metastable Ti-15wt.%Mo by understanding the stability and transformation pathways which make the metastable β titanium alloy class unique. Athermal ω shares the same composition as the β matrix and is formed by rapid cooling from the β phase field. The classical theory of athermal ω formation is based upon a diffusion-less mechanism in which consecutive pairs of {111}β planes collapse together. However, latest high-resolution electron microscope observations have suggested chemical alterations occur as well, which give reason to challenge this classical formation mechanism. Two novel methods were explored to determine the nature of the ω phase: 1) electron imaging of thin material at different collection angles and 2) total X-ray scattering analysis of large volumes of material. Complementary techniques are invaluable since thin foil artefacts were identified. In particular, a new B2 structured phase in the Ti-15wt.%Mo alloy was observed only in thin electron transparent material. Experimental data from the two new methods were compared to simulations. It was found that a frozen phonon description of the ω structure provided a best fit in both scenarios. The results are therefore consistent with the classical theory of ω formation but the collapse of the {111}β planes towards the ω phase is not considered complete.

The eastward winds that form each winter in the Arctic stratosphere are intermittently disrupted by planetary-scale waves propagating up from the surface in events known as stratospheric sudden warmings. It is shown here that following roughly half of these sudden warmings, the winds take as long as three months to recover, during which time the polar stratosphere evolves in a robust and predictable fashion. These extended recoveries, termed here Polar-night Jet Oscillation (PJO) events, are relevant to understanding the response of the extratropical troposphere to forcings such as solar variability and climate change. They also represent a possible source of improvement in our ability to predict weather regimes at seasonal timescales. Four projects are reported on here. In the first, the approximation of stratospheric radiative cooling by a linear relaxation is tested and found to hold well enough to diagnose effective damping rates. In the polar night, the rates found are weaker than those typically assumed by simplified modelling studies of the extratropical stratosphere and troposphere. In the second, PJO events are identified and characterized in observations, reanalyses, and a comprehensive chemistry-climate model. Their observed behaviour is reproduced well in the model. Their duration correlates with the depth in the stratosphere to which the disruption descends, and is associated with the strong suppression of further planetary wave propagation into the vortex. In the third, the response of the zonal mean winds and temperatures to the eddy-driven torques that occur during PJO events is studied. The collapse of planetary waves following the initial warming permits radiative processes to dominate. The weak radiative damping rates diagnosed in the first project are required to capture the redistribution of angular momentum responsible for the circulation anomalies. In the final project, these damping rates are imposed in a simplified model of the coupled stratosphere and troposphere. The weaker damping is found to change the warmings generated by the model to be more PJO-like in character. Planetary waves in this case collapse following the warmings, confirming the dual role of the suppression of wave driving and extended radiative timescales in determining the behaviour of PJO events.

The eastward winds that form each winter in the Arctic stratosphere are intermittently disrupted by planetary-scale waves propagating up from the surface in events known as stratospheric sudden warmings. It is shown here that following roughly half of these sudden warmings, the winds take as long as three months to recover, during which time the polar stratosphere evolves in a robust and predictable fashion. These extended recoveries, termed here Polar-night Jet Oscillation (PJO) events, are relevant to understanding the response of the extratropical troposphere to forcings such as solar variability and climate change. They also represent a possible source of improvement in our ability to predict weather regimes at seasonal timescales. Four projects are reported on here. In the first, the approximation of stratospheric radiative cooling by a linear relaxation is tested and found to hold well enough to diagnose effective damping rates. In the polar night, the rates found are weaker than those typically assumed by simplified modelling studies of the extratropical stratosphere and troposphere. In the second, PJO events are identified and characterized in observations, reanalyses, and a comprehensive chemistry-climate model. Their observed behaviour is reproduced well in the model. Their duration correlates with the depth in the stratosphere to which the disruption descends, and is associated with the strong suppression of further planetary wave propagation into the vortex. In the third, the response of the zonal mean winds and temperatures to the eddy-driven torques that occur during PJO events is studied. The collapse of planetary waves following the initial warming permits radiative processes to dominate. The weak radiative damping rates diagnosed in the first project are required to capture the redistribution of angular momentum responsible for the circulation anomalies. In the final project, these damping rates are imposed in a simplified model of the coupled stratosphere and troposphere. The weaker damping is found to change the warmings generated by the model to be more PJO-like in character. Planetary waves in this case collapse following the warmings, confirming the dual role of the suppression of wave driving and extended radiative timescales in determining the behaviour of PJO events.

Two-phase flow, boiling, and condensation in microchannels have received considerable attention in the recent past due to the growing interest in the high heat fluxes made possible by these channels. This dissertation presents a study on the condensation of refrigerant R134a in small hydraulic diameter (100 < Dh < 160 mm) channels. A novel technique is used for the measurement of local condensation heat transfer coefficients in small quality increments, which has typically been found to be difficult due to the low heat transfer rates at the small flow rates in these microchannels. This method is used to accurately determine pressure drop and heat transfer coefficients for mass fluxes between 300 and 800 kg/m2-s and quality 0 < x < 1 at four different saturation temperatures between 30 and 60oC. The results obtained from this study capture the effect of variations in mass flux, quality, saturation temperature, hydraulic diameter, and channel aspect ratio on the observed pressure drop and heat transfer coefficients. Based on the available flow regime maps, it was assumed that either the intermittent or annular flow regimes prevail in these channels for the flow conditions under consideration. Internally consistent pressure drop and heat transfer models are proposed taking into account the effect of mass flux, quality, saturation temperature, hydraulic diameter, and channel aspect ratio. The proposed models predict 95% and 94% of the pressure drop and heat transfer data within ±25%, respectively. Both pressure drop and heat transfer coefficient increase with a decrease in hydraulic diameter, increase in channel aspect ratio and decrease in saturation temperature. A new non-dimensional parameter termed Annular Flow Factor is also introduced to quantify the predominance of intermittent or annular flow in the channels as the geometric parameters and operating conditions change. This study leads to a comprehensive understanding of condensation in microchannels for use in high-flux heat transfer applications.

The collocation Trefftz method (CTM) proposed in [36] is employed to annular shaped domains, and new error analysis is made to yield the optimal convergence rates. This popular method is then applied to the special case: the Dirichlet problems on circular domains with circular holes, and comparisons are made with the null field method (NFM) proposed , and new interior field method (IFM) proposed in [35], to find out that both errors and condition numbers are smaller. Recently, for circular domains with circular holes, the null fields method (NFM) is proposed by Chen and his groups. In NFM, the fundamental solutions (FS) with the source nodes Q outside of the solution domains are used in the Green formulas, and the FS are replaced by their series expansions. The Fourier expansions of the known or the unknown Dirichlet and Neumann boundary conditions on the circular boundaries are chosen, so that the explicit discrete equations can be easily obtained by means of orthogonality of Fourier functions. The NFM has been applied to elliptic equations and eigenvalue problems in circular domains with multiple holes, reported in many papers; here we cite those for Laplace¡¦s equation only (see [18, 19, 20]). For the boundary integral equation (BIE) of the first kind, the trigonometric functions are used in Arnold [4, 5], and error analysis is made for infinite smooth solutions, to derive the exponential convergence rates. In Cheng¡¦s Dissertation [21, 22], for BIE of the first kind, the source nodes are located outside of the solution domain, the linear combination of fundamental solutions are used, and error analysis is made only for circular domains. This fact implies that not only can the CTM be applied to arbitrary domains, but also a better numerical performance is provided. Since the algorithms of the CTM is simple and its programming is easy, the CTM is strongly recommended to replace the NFM for circular domains with circular holes in engineering problems.

[pt] O presente trabalho analisa a transferência de calor e a perda de carga em escoamento turbulento através das regiões anulares lisas e aletadas. Os coeficientes de transferência de calor foram obtidos experimentalmente, utilizando-se a teoria de trocadores de calor. Também foram determinados os coeficientes de perda de carga associados a cada uma das geometrias analisadas. Os experimentos foram realizados em um trocador de calor bi-tubular concêntrico. Água (fluído quente) escoava através do tubo interno, enquanto ar (fluido frio) fluía através da região anular. Medindo-se as vazões e temperaturas na entrada e saída da seção de teste do trocador de calor, obtém-se a efetividade da mesma e, consequentemente, o coeficiente global de transferência de calor (médio). As condições de contorno adotadas foram de temperatura uniforme na superfície externa do tubo interno e de isolamento térmico na superfície externa do tubo interno e de isolamento térmico na superfície externa da região anular. Com o objetivo de obter-se condições de escoamento completamente desenvolvido, o trocador de calor possui um comprimento, a montante da seção de testes, de aproximadamente trinta diâmetros hidráulicos. Os coeficientes de transferência de calor e de perda de carga são apresentados de forma adimensional, como função do número de Reynolds do escoamento, os resultados obtidos para as regiões anulares lisas e aletadas são comparados entre si. O propósito de tal comparação foi o de estudar a influencia das aletas na perda de carga e na taxa de transferência de calor. No caso das regiões aletadas, verifica-se que a eficiência das aletas influencia a transferência de calor. Deste modo, realizou-se uma análise bi-dimensional de transferência de calor nas aletas para obter-se a eficiência das mesmas e, consequentemente, a eficiência das regiões aletadas. Também é mostrado que o desempenho térmico da região depende principalmente do número de Nusselt e da eficiência da mesma. Tais parâmetros são apresentados, em última análise, como funções do número de Reynolds e da geometria do problema. / [en] The present work is concerned with the turbulent heat transfer and pressure drop in smooth and finned annular ducts. Average heat transfer coeeficients have been obtained by means of the heat exchanger theory. In addition, friction factors have also been determined. The experiments were performed by utiling four double-pipe heat exchangers. The average heat transfer coefficients, for air flowing in the annular section, were fertmined by measuring the overall heat transfer coefficients of the heat exchangers. In order to aatain fully developed conditions, the heat exchangers had a starting length of 30 hydrualic diameters. The thermal boundary conditions consisted of uniform temperature on the inner surface, the outer surface being insulate. The heat transfer coefficients and friction factors are presented in dimensinless forms, as functions of the Reynolds number of the fow. The results for smooth and finned annular ducts were compared. The purpose of such comparison was to study the influence of the fins on the pressure drop and heat transfer rate. In the case of the finned annular ducts, it is shown that fin efficiency has some influence on the heat transfer rates. Then a two-dimensional heat transfer analysis was performed in order to obtain the fin efficiency and the annular region efficiency. It is also shown that the overall thermal performance of finned surfaces depends mainly of the Nusselt number and on the region efficiency. These parameters are presented as functiond of the Reynolds number of the flow and the geometry of the problem.

[pt] O projeto de dimensionamento dos revestimentos na indústria de óleo e gás deve garantir a integridade do poço ao longo de todo o seu ciclo de vida, que pode ser de várias décadas. Um carregamento importante a ser considerado surge em consequência da produção, que movimenta os fluidos desde o reservatório até a superfície, aquecendo as partes mais rasas do poço. Este processo de aquecimento expande os fluidos de perfuração e completação que foram confinados nos anulares durante o processo de construção do poço. Esta mudança de volume do fluido é contida pela rigidez dos elementos que o mantém confinado e essa resistência à livre expansão do fluido provoca um aumento de pressão. Em alguns casos, a pressão pode tornar-se tão grande que pode levar o revestimento a colapsar, levando ao abandono de poços e a grandes perdas. Este fenômeno de aumento da pressão é conhecido na indústria do petróleo como anular pressure build-up (APB). O presente trabalho apresenta um modelo térmico para determinar o perfil de temperatura e pressão do fluido monofásico escoando em regime permanente na coluna de produção e a distribuição de temperatura ao longo de todos os elementos do poço. Como os revestimentos não são perfeitamente rígidos, um aumento de temperatura e pressão no poço acarreta na variação do volume do anular, os quais são avaliados de forma acoplada, pois a variação de volume de um anular influencia no outro, assim como os deslocamentos dos revestimentos. O estudo compara os resultados obtidos com um aplicativo comercial, apresentando boa concordância. Além disso, uma análise de sensibilidade é realizada para fornecer uma melhor compreensão do fenômeno. / [en] Casing design projects must ensure well integrity throughout its life, which can be as long as several decades. An important load to be considered appears as a consequence of production. During production, the annuli became heated from the transfer of bottom hole temperature up the well by the produced fluids. With heat-up, the fluids trapped in the annulus began to thermally expand. The expansion induces a volume enlargement, which is restrained by the stiffness of the well structure. This resistance to fluid free expansion keep the fluid confined and can produce a substantial pressure increase. In some cases, pressure may become so great that it can collapse casing, leading to well abandonment and large losses. This pressure increase phenomenon is well-known in the oil industry as annular pressure build-up (APB). In the present study, a monophasic state-state thermal model was developed to determine the oil temperature profile in the tubing and the temperature profile in all structures of the well. As casings are not perfectly rigid, temperature and pressure increase in the well results in annular volume change. Because the well consists of a sequence of casing strings that define the well annuli, the modeling of casing strains should be based on a systematic approach that considers the interaction among the various strings. The study compares results to those obtained with a commercial computer application, presenting good agreement. Further, a sensitivity analysis is performed to provide a better understanding of the phenomenon.

Made available in DSpace on 2014-12-17T14:55:57Z (GMT). No. of bitstreams: 1 CristhianneFLV.pdf: 1410067 bytes, checksum: 1d2f3291a32b0598969cd4235af0c991 (MD5) Previous issue date: 2006-02-16 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / This work presents an analysis of the annular ring microstrip antennas printed on uniaxial anisotropic substrates and with superstrate.The analysis uses the full-wave formulation by means of the Hertz vector potentials method, in the Hankel transform domain. The definition of the Hertz vector potentials and the application of the appropriate boundary conditions to the structure allow determining the dyadic Green functions, relating the current densities in the conducting patch to the transforms of the tangential electric field components. Galerkin s method is then used to obtain the matrix equation whose nontrivial solution gives the complex resonant frequency of the antenna. From the modeling, it is possible to obtain results for the resonant frequency, bandwidth and quality factor, as a function of several parameters of the antenna, for different configurations. We have considered annular ring microstrip antennas on a single dielectric layer, antennas with two anisotropic dielectric layers, and annular ring microstrip antennas on suspended substrates. Numerical results for the resonant frequency of the these structures printed on isotropic substrates are also presented and compared with those published by other authors, showing a good agreement / Este trabalho apresenta uma an?lise de antenas de microfita com patch em anel sobre substratos diel?tricos anisotr?picos uniaxiais e com sobrecamada. A an?lise utiliza o formalismo de onda completa atrav?s da aplica??o do m?todo dos potenciais vetoriais de Hertz, no dom?nio da transformada de Hankel. A defini??o dos potenciais vetoriais de Hertz e a imposi??o das condi??es de contorno adequadas ? estrutura permitem determinar as fun??es di?dicas de Green, relacionando as componentes da densidade de corrente no patch com as componentes tangenciais do campo el?trico. O M?todo de Galerkin ? ent?o usado para obter a equa??o matricial, cuja solu??o n?o trivial fornece a freq??ncia de resson?ncia da antena. A partir da modelagem, ? poss?vel obter resultados para a freq??ncia de resson?ncia em fun??o de v?rios par?metros da antena de microfita com patch em anel, para diferentes configura??es, al?m do fator de qualidade e da largura de banda. S?o consideradas estruturas de antenas de microfita com patch em anel sobre uma camada diel?trica, antenas com duas camadas diel?tricas anisotr?picas e antenas de microfita com patch em anel sobre substratos suspensos. Resultados num?ricos para a freq??ncia de resson?ncia dessas estruturas impressas sobre substratos diel?tricos isotr?picos s?o tamb?m apresentados e comparados com resultados de outros autores, mostrando uma boa concord?ncia

The increasing activity of oil and gas extraction in deep water has stimulated several studies to solve problems encountered in drilling wells. During the drilling operation, a fluid (drilling mud) is pumped through the column to the bottom, carrying to the surface the drill cuttings generated, through the annular space formed between the column and the borehole wall. In this type of flow may appear a kind of hydrodynamic instability characterized by the appearance of toroidal vortices. This type of instability (Taylor-Couette) may profoundly alter the pressure drop of the flow, the shear stress at the borehole wall and the ability of carrying the solids. Moreover, during the process of drilling a well it is necessary promotes the well cementing and coating to provide a mechanical support, as well as, to isolate it from different rock formations traversed. For this step to be successful, the drilling mud must be completely removed from the annular space, and this removal may be impaired in wells which have varying eccentricity along the tube. Due to high costs of correction transactions and loss of drilling time, it is crucial to predict the mud flow around the annular. The effects of this variation of the eccentricity have not been much discussed in the literature, and they may have great influence on the displacement of the mud in the annular space. As an initial phase of work, numerical simulations were performed to study the flow and the emergence of Taylor- Couette instabilities in a concentric annular section, in order to compare them with literature data. Numerical simulations were developed in annular periodic sections, concentric and eccentric (E = 0.5) in order to obtain average profiles of axial and tangential velocities using different turbulence models, aiming at a comparison of simulated results with experimental data from literature. Later, it was made an experimental study and simulation to assess the effect of internal axis rotation on the pressure drop in the flow of non-Newtonian fluids (aqueous solutions of xanthan gum and carboxymethyl cellulose with 0.2% by weight) in a section annular concentric and the other with fixed eccentricity (E = 0.75). Finally, it was elaborated an experimental design (3k) with four variables, such as, xanthan gum concentration (0.05%, 0.10% and 0.15% by weight), eccentricity (0.0, 0.23 and 0.46), fluid flow rate (5, 7 and 9 m3/h) and internal rotation axis (0, 100 and 200 rpm). Following this planning, experimental data of pressure drop were collected, as well as, numerical simulations (CFD) in periodic annular sections to get results of axial velocity, in order to evaluate the effect of variable eccentric rotation on the fluid dynamics of non-Newtonian flows in annular spaces. / A crescente atividade de extração de petróleo e gás em águas cada vez mais profundas tem impulsionando diversos estudos para solucionar problemas encontrados na perfuração de poços. Durante a operação de perfuração, um fluido (lama de perfuração) é bombeado através da coluna até o fundo do poço, retornando à superfície carreando os cascalhos gerados pela broca, passando pelo espaço anular formado entre a coluna e a parede do poço. Neste tipo de escoamento pode ocorrer um tipo de instabilidade hidrodinâmica caracterizada pelo aparecimento de vórtices toroidais. Este tipo de instabilidade (Taylor-Couette), pode alterar profundamente a perda de carga do escoamento, a tensão cisalhante na parede do poço e a capacidade de carreamento de cascalho. Além disto, durante o processo de perfuração de um poço é necessário promover o revestimento e a cimentação do poço para fornecer a sua sustentação mecânica, bem como, para isolá-lo das diferentes formações rochosas atravessadas. Para esta etapa ser bem sucedida, a lama de perfuração deve ser completamente removida do anular, sendo que, esta remoção pode ser prejudicada em poços que apresentem excentricidade variando ao longo do tubo. Devido aos altos custos das operações de correção e a perda de tempo de perfuração, é fundamental prever este deslocamento da lama ao redor do anular. Os efeitos desta variação da excentricidade ainda não foram muito abordados na literatura e podem apresentar grande influência no deslocamento da lama no espaço anular. Como etapa inicial do trabalho, foram realizadas simulações numéricas para estudar o escoamento com surgimento de instabilidades do tipo Taylor-Couette em uma seção anular concêntrica, com intuito de compará-las com trabalhos da literatura. Depois foram desenvolvidas simulações numéricas em seções anulares periódicas, concêntrica e excêntrica (E = 0,5), a fim de obter perfis médios de velocidades axial e tangencial usando diferentes modelos de turbulência, visando uma comparação dos resultados simulados com os dados experimentais da literatura. Posteriormente, foi feito um estudo experimental e de simulação para avaliar o efeito da rotação do eixo interno sobre a queda de pressão no escoamento de fluidos não-Newtonianos (soluções aquosas de Goma Xantana e de Carboximetilcelulose a 0,2% em peso) numa seção anular concêntrica e outra com excentricidade fixa (E = 0,75). Finalmente, elaborou-se um planejamento fatorial de experimentos do tipo 3k com quatro variáveis, tais como, concentração de Goma Xantana (0,05%, 0,10% e 0,15%), excentricidade (0,0; 0,23 e 0,46), vazão volumétrica (5, 7 e 9 m3/h) e rotação do eixo interno (0, 100 e 200 rpm). Seguindo este planejamento foram levantados dados experimentais de queda de pressão, bem como, simulações numéricas (CFD) em seções periódicas para obtenção de resultados de velocidade axial, com intuito de avaliar efeito do movimento de rotação excêntrica variável sobre a dinâmica do escoamento de fluidos não-Newtonianos em espaços anulares. / Doutor em Engenharia Química

Escoamentos gás-líquido assim como escoamento líquido-líquido-gás em duto de geometria anular estão presentes em muitas aplicações industriais, por exemplo, em poços de petróleo direcionais. No entanto, até mesmo características globais de escoamento gás-líquido nessa geometria, como os padrões de escoamento ou gradiente de pressão, não são ainda totalmente compreendidas. E ainda, informações são escassas quando se refere a escoamento trifásico nessa geometria, cuja aplicação está relacionada ao fenômeno de inversão de fase, que é de extrema importância não apenas para ao setor petrolífero, como para a indústria alimentícia. O presente estudo experimental tem como objetivo avaliar o escoamento líquido-gás, apresentar dados inéditos de escoamento gás-líquido para três viscosidades de óleo, além de avaliar o fenômeno de inversão de fase em escoamento ascendente vertical em duto anular de grande diâmetro. Um aparato experimental inclinável com 10,5 m de comprimento foi projetado e construído para este trabalho. As dimensões radiais do duto anular estão em escala real, conforme se verifica em poços de petróleo e gás. A investigação em escoamento gás-líquido foi conduzida utilizando água, óleo e ar comprimido como fluidos de trabalho em escoamento ascendente vertical em duas geometrias: (i) um tubo com diâmetro de 95 mm e (ii) um duto de configuração anular e concêntrico, com diâmetro hidráulico de valor igual ao diâmetro do tubo. A avaliação do fenômeno de inversão de fase em escoamento trifásico foi conduzida em condições equivalentes em três geometrias: (i) tubo vertical menor com diâmetro de 50 mm, (ii) tubo com diâmetro de 95 mm e (iii) um duto anular concêntrico. Padrões de escoamento, queda de pressão e fração volumétrica de fase foram obtidos para ambos os escoamentos gás-líquido e líquido-líquido-gás. Os dados coletados nesse trabalho são de grande importância para o desenvolvimento de novas correlações de fechamento, que são essenciais para o projeto otimizado de poços de petróleo. Dados inéditos de escoamento bifásico óleo-gás são apresentados, bem como um estudo pioneiro em inversão de fase em escoamento trifásico com velocidade superficial de gás e viscosidade do óleo elevadas. / Two-phase flows as well as three-phase flow in annular geometry are present in many industrial applications, for example in oil directional wells. However, even global characteristics of gas-liquid flow in this geometry, such as flow patterns and pressure gradient are not fully understood. Moreover, information is scarce when it refers to three-phase flow in this geometry, which application is related to the phase inversion phenomenon, which is of extreme importance and not only for the oil industry. This experimental study aims to evaluate the liquid-gas flow, present new data from gas-liquid flow for three oil viscosities and evaluate the phase inversion phenomenon in vertical upward flow in large diameter annular duct. An experimental apparatus with 10.5 m length was designed and built for this work. The radial dimensions of the annular duct are similar to full scale, as observed in oil and gas wells. The investigation into gas-liquid flow was conducted using water, oil and compressed air as working fluids in an ascending vertical flow in two geometries: (i) a tube with 95 mm diameter and (ii) a concentric annular duct with hydraulic diameter equivalent to the tube internal diameter. The evaluation of the phase inversion phenomenon in three-phase flow was conducted under equivalent conditions for three geometries: (i) smaller vertical tube with 50 mm of internal diameter, (ii) tube with 95 mm of internal diameter and (iii) concentric annular duct with hydraulic diameter of 95 mm. Flow patterns, pressure drop and volumetric phase fraction were obtained for both gas-liquid and gas-liquid-liquid flows. The data collected in this study are of great importance for the development of new closing correlations, which are essential for the optimized design of oil wells. New two-phase flow data for three oil viscosities, not found in the literature, are presented as well as a pioneer study in three-phase-flow phase inversion with high oil viscosity and high superficial gas velocity.