This thesis describes an experimental investigation of the response of lean turbulent swirling flames with different degrees of premixedness (i.e. different mixture patterns) to acoustic forcing using the same burner configuration and varying only the fuel injection strategy. Special emphasis was placed on the amplitude dependence of their response. Also, the behaviour of self-excited fully premixed flames was examined. kHz OH* chemiluminescence was used to study qualitatively the heat release response of the flames, while kHz OH Planar Laser Induced Fluorescence (PLIF) was employed to understand the response of the flame structure and the behaviour of the various parts of the flame. The Proper Orthogonal Decomposition (POD) method was used to extract the dominant structures of the flame and their periodicity. In the first part of the thesis, self-excited oscillations were induced by extending the length of the duct downstream of the bluff body. It was found that the longer the duct length and the higher the equivalence ratio, the stronger the self-excited oscillations were, with the effect of duct length being much stronger. The dominant frequencies of the system were found to increase with equivalence ratio and bulk velocity and decrease with duct length. For some conditions, three simultaneous periodic motions were observed, where the third motion oscillated at a frequency equal to the difference of the other two frequencies. A novel application of the POD method was proposed to estimate the convection velocity from the most dominant reaction zone structures detected by OH* chemiluminescence imaging. For a range of conditions, the convection velocity was found to be in the range of 1.4-1.7 bulk flow velocities at the inlet of the combustor. In the second part, the response of fully premixed, non-premixed with radial fuel injection (NPR) and axial fuel injection (NPA) flames was investigated and compared. All systems exhibited a nonlinear response to acoustic forcing. The highest response was observed by the NPR flame, followed by the fully premixed and the non-premixed with axial fuel injection flame. The proximity of forced flames to blow-off was found to be critical in their heat release response, as close to blow-off the flame response was significantly lower than that farther from blow-off. In the NPR and NPA systems, it was shown that the acoustic forcing reduced the stability of the flame and the stability decreased with the increase in forcing amplitude. In the fully premixed system, the flame area modulations constituted an important mechanism of the system, while in the NPR system both flame area and equivalence ratio modulations were important mechanisms of the heat release modulations. The quantification of the local response of the various parts of the flame at the forcing frequency showed that the ratio RL (OH fluctuation at 160 Hz to the total variance of OH) was greater in the inner shear layer region than in the other parts in the case of NPR and NPA flames. In fully premixed flames, greater RL values were observed in large regions on the downstream side of the flame than those in the ISL region close to the bluff body. The ratio of the convection velocity to the bulk velocity was estimated to be 0.54 for the NPR flame, while it was found to be unity for the respective fully premixed flame. In the last part of the thesis, the response of ethanol spray flames to acoustic oscillations was investigated. The nonlinear response was very low, which was reduced closer to blow-off. The ratio RL was the highest in the spray outer cone region, downstream of the annular air passage, while RL values were very low in the inner cone region, downstream of the bluff body. Unlike NPR and fully premixed flames, in case of spray and NPA systems, it was found that forcing did not affect greatly the flame structure. The understanding of the nonlinear response of flames with different degrees of premixedness in a configuration relevant to industrial systems contributes to the development of reliable flame response models and lean-burn devices, because the degree of premixedness affects greatly the flame response. Also, the understanding of the behaviour of forced spray flames is of great interest for industrial applications, contributing to the development of thermoacoustic models for liquid fuelled combustors. Finally, the estimation of the convection velocity is of importance in the modelling of self-excited flames and flame response models, since the convection velocity affects the flame response significantly.

128f. / Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-04-17T17:24:07Z No. of bitstreams: 2 Dissertacao Celio Araujo parte 2seg.pdf: 5276315 bytes, checksum: 3dae5c605950d67928021472bb7734e7 (MD5) Dissertacao Celio Araujo parte 1seg.pdf: 4824480 bytes, checksum: 46ce964739912e2a3d9fc13eb08e19b0 (MD5) / Approved for entry into archive by Rodrigo Meirelles(rodrigomei@ufba.br) on 2013-05-24T11:35:50Z (GMT) No. of bitstreams: 2 Dissertacao Celio Araujo parte 2seg.pdf: 5276315 bytes, checksum: 3dae5c605950d67928021472bb7734e7 (MD5) Dissertacao Celio Araujo parte 1seg.pdf: 4824480 bytes, checksum: 46ce964739912e2a3d9fc13eb08e19b0 (MD5) / Made available in DSpace on 2013-05-24T11:35:50Z (GMT). No. of bitstreams: 2 Dissertacao Celio Araujo parte 2seg.pdf: 5276315 bytes, checksum: 3dae5c605950d67928021472bb7734e7 (MD5) Dissertacao Celio Araujo parte 1seg.pdf: 4824480 bytes, checksum: 46ce964739912e2a3d9fc13eb08e19b0 (MD5) Previous issue date: 2008 / Este trabalho versa sobre a atuação política da Igreja Católica baiana durante a conjuntura do Golpe civil-militar de 1964. Tendo como balizas cronológicas os anos de 1962 e 1964, a pesquisa se propõe a investigar os discursos e as ações da Instituição, em volta de três fatos que mobilizaram a Bahia naquele período: as eleições gerais de 1962, a realização da Cruzada do Rosário em Família em Salvador, e a efetivação do Golpe de 1964. Procurando analisar a participação da Igreja nestes três eventos, objetivamos compreender o posicionamento e as relações da Instituição com o campo político baiano e com o Golpe de 1964, que ocorreram mediante a intensa produção de um imaginário anticomunista. / Salvador

Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-24T16:01:03Z No. of bitstreams: 1 GEIZANE LIMA DA SILVA - DISSERTAÇÃO PPGMAT 2010..pdf: 596736 bytes, checksum: d02e34d40e7147e46c734ba297c181bf (MD5) / Made available in DSpace on 2018-07-24T16:01:03Z (GMT). No. of bitstreams: 1 GEIZANE LIMA DA SILVA - DISSERTAÇÃO PPGMAT 2010..pdf: 596736 bytes, checksum: d02e34d40e7147e46c734ba297c181bf (MD5) Previous issue date: 2010-03 / Capes / Neste trabalho estudamos a existência de soluções positivas do tipo blow-up para uma classe de equações elípticas semilineares. Usamos argumentos desenvolvidos por Cîrstea & Radulescu [6], Lair & Wood [20] e as técnicas empregadas são o Método de Sub e Supersolução, Teoremas de Ponto Fixo e em alguns resultados exploramos a simetria radial e algumas estimativas para equações elípticas. / In this work we studied the existence of blow-up positive solutions for the class of semilinear elliptic equations. We used arguments developed by Cîrstea & Radulescu [6], and by Lair & Shaker [20] and the techniques used are the method of Sub and Supersolution, Fixed point theorems and some results explored radial symmetry and some estimates for elliptic equations.

Submitted by Alison Vanceto (alison-vanceto@hotmail.com) on 2017-06-02T14:05:02Z No. of bitstreams: 1 TeseDDSP.pdf: 5654501 bytes, checksum: 314e8dafc9e9b26a7437132de9501321 (MD5) / Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2017-06-05T17:01:18Z (GMT) No. of bitstreams: 1 TeseDDSP.pdf: 5654501 bytes, checksum: 314e8dafc9e9b26a7437132de9501321 (MD5) / Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2017-06-05T17:01:24Z (GMT) No. of bitstreams: 1 TeseDDSP.pdf: 5654501 bytes, checksum: 314e8dafc9e9b26a7437132de9501321 (MD5) / Made available in DSpace on 2017-06-05T17:07:15Z (GMT). No. of bitstreams: 1 TeseDDSP.pdf: 5654501 bytes, checksum: 314e8dafc9e9b26a7437132de9501321 (MD5) Previous issue date: 2016-07-15 / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Solution blow spinning is a technique to produce micro- and nano-scale fibers, forming films with high porosity and surface area. Chemical modifications or the incorporation of nanostructures in these fibers can improve the performance of these films for various applications, such as membranes, tissue engineering and sensors. Therefore, the aim of this work was to study poly(lactic acid) (PLA) films obtained by solution blow spinning reinforced with cellulose nanocrystals (CNC). First, different solvents were evaluated in order to determine the best processing conditions and the feasibility of using the solvent dimethyl carbonate (DMC) in the production of PLA films by solution blow spinning. Polymer concentration showed to be the most significant parameter affecting fiber diameter and DMC presented advantages over 1,1,1,3,3,3-hexafluoro-2-propanol (HFP) and chloroform due its less toxicity, and therefore, is an alternative solvent with an affordable price, using a more environmentally-friendly process. Subsequently, the CNCs were extracted from bleached eucalyptus kraft pulp by sulfuric acid hydrolysis, which were chemically modified with maleic anhydride (CNCMA). Then, composite films of PLA/CNC and PLA/CNCMA were obtained by solution blow spinning and the results indicated that the addition of nanocrystals did not significantly affected fiber diameters, although the fiber diameters tended to decrease with the increase of the nanocrystals concentration. The results also indicated that the nanocrystals may have increased the degree of PLA polymer chains orientation and that the composite films presented a more hydrophilic behavior when compared to the pure PLA film. It suggests that some of the nanocrystals may be on the surface of the fibers, indicating that these composite films are promising for filter and adsorbents membranes application. / A técnica de fiação por sopro em solução produz fibras em escala micro e nanométrica, formando filmes com elevada porosidade e área superficial. Modificações químicas ou a incorporação de nanoestruturas nestas fibras podem melhorar o desempenho destes filmes para diversas aplicações, como por exemplo, membranas, engenharia de tecidos e sensores. Portanto, o objetivo deste trabalho foi estudar filmes de poli(ácido lático) (PLA) obtidos por fiação por sopro em solução reforçados com nanocristais de celulose (CNC). Primeiramente, avaliou-se diferentes solventes a fim de determinar as melhores condições de processamento e a viabilidade de uso do solvente dimetilcarbonato (DMC) na obtenção de filmes de PLA por fiação por sopro em solução. A concentração de polímero mostrou ser o parâmetro mais significativo que afeta o diâmetro das fibras e que o DMC possui vantagens sobre o 1,1,1,3,3,3-hexafluoro-2-propanol (HFIP) e o clorofórmio por ser menos tóxico, sendo, portanto, um solvente alternativo com preço acessível, utilizando um processo ambientalmente mais correto. Em seguida, foram extraídos os CNC a partir da polpa branqueada de eucalipto via hidrólise com ácido sulfúrico, os quais foram modificados quimicamente com anidrido maleico (CNCMA). Então, foram obtidos filmes compósitos de PLA/CNC e PLA/CNCMA por fiação por sopro em solução e os resultados indicaram que a adição dos nanocristais não alterou significativamente o diâmetro das fibras, embora observou-se uma tendência de redução nos diâmetros com o aumento da concentração dos nanocristais. Os resultados também indicaram que os nanocristais podem ter aumentado o grau de orientação das cadeias poliméricas do PLA e que os filmes compósitos apresentaram caráter mais hidrofílico quando comparados ao filme de PLA puro. Isto sugere que parte dos nanocristais possam estar na superfície das fibras, indicando que estes filmes compósitos são promissores para aplicação em membranas filtrantes e adsorventes. / CNPQ: 202445/2014-3

A ventosa de trÃplice funÃÃo atua na admissÃo e/ou expulsÃo de ar contido na tubulaÃÃo, protegendo tubulaÃÃo e equipamentos contra os efeitos decorrentes do acÃmulo de ar e golpe de arÃete. AtravÃs do orifÃcio cinÃtico, ela admite grande quantidade de ar quando a pressÃo no interior da tubulaÃÃo torna-se inferior à atmosfÃrica, e expulsa ar apÃs a separaÃÃo da coluna a uma pressÃo superior à atmosfÃrica. Na regiÃo de admissÃo de ar, a ventosa com orifÃcio âNon Slamâ admite grande volume de ar atravÃs do orifÃcio cinÃtico, e inicia a expulsÃo de ar, atravÃs do mesmo orifÃcio. A partir de um determinado valor de pressÃo positiva, o orifÃcio cinÃtico à fechado e abre-se um orifÃcio de menor diÃmetro, chamado de orifÃcio de "Non Slam", amortecendo, assim, o choque das colunas lÃquidas que estavam separadas. Neste trabalho, propÃe-se uma metodologia para o cÃlculo dos coeficientes de admissÃo e expulsÃo de ar no regime transiente a partir das curvas disponibilizadas pelos fabricantes. O trabalho visa minimizar a falta de informaÃÃes experimentais sobre as ventosas com base nas curvas dos fabricantes para a determinaÃÃo dos coeficientes de admissÃo e expulsÃo de ar. Nesse estudo nÃs comparamos o efeito de se usar um Ãnico coeficiente de descarga de ar para entrada e outro Ãnico para a saÃda de ar versus considerar a variaÃÃo desses coeficientes de descarga à medida que as pressÃes variam. O programa computacional UFC7, escrito em Java, implementa o transiente hidrÃulico com suas condiÃÃes de contorno. / sucker triple function acts on admission and / or expulsion of air in the pipe, protecting piping and equipment against the effects of air and accumulation water hammer. Through kinetic hole, she admits lot of air when the pressure inside the pipe becomes lower than atmospheric, and expels air after separation column at a superatmospheric pressure. The inlet region air, the suction orifice "Non slam" admits large volume of air through the orifice Kinetic and starts expelling air through the same hole. From a certain Positive pressure value, the kinetic orifice is closed and opens a lower orifice diameter hole called "Non slam", cushioning, thus, the shock of columns they were separated liquid. In this paper, we propose a methodology for calculating the admission rates and expulsion of air in transient from the curves provided by the manufacturers. The work aims to minimize the lack of information Experimental suction cups on the basis of the curves for the determination of makers the admission rates and expulsion of air. In this study we compared the effect of using a single air discharge coefficient for input and another for output only Air versus consider the variation of these coefficients discharge pressures as range. The UFC7 computer program written in Java, implements the transient Hydraulic with its boundary conditions

Cette thèse est consacrée à l'analyse des singularités apparaissant dans des équations différentielles partielles elliptiques non linéaires découlant de la physique mathématique, de la biologie mathématique, et de la géométrie conforme. Les thèmes abordés sont le modèle de supraconductivité de Ginzburg-Landau, le problème de Lin-Ni-Takagi, le modèle de Keller-Segel de la chimiotaxie, et le problème de courbure scalaire prescrite. Le modèle de Ginzburg-Landau est une description phénoménologique de la supraconductivité. Une caractéristique essentielle des supraconducteurs de type II est la présence de vortex, qui apparaissent au-dessus d'une certaine valeur de la force du champ magnétique appliqué, appelée premier champ critique. Nous nous intéressons au régime de epsilon petit, où epsilon est l'inverse du paramètre de Ginzburg-Landau (une constante du matériau). Dans ce régime, les vortex sont au premier ordre des singularités topologiques de co-dimension 2. Nous fournissons une construction quantitative par approximation de vortex en dimension trois pour l'énergie de Ginzburg-Landau, ce qui donne une approximation des lignes de vortex ainsi qu'une borne inférieure pour l'énergie, qui est optimale au premier ordre et vérifiée au niveau epsilon. En utilisant ces outils, nous analysons ensuite le comportement des minimiseurs globaux en dessous et proche du premier champ critique. Nous montrons que, en dessous de cette valeur critique, les minimiseurs de l'énergie de Ginzburg-Landau sont des configurations sans vortex et que les minimiseurs, proche de cette valeur, ont une vorticité bornée. Le problème de Lin-Ni-Takagi apparait comme l'ombre (dans la littérature anglaise ``shadow'') du système de Gierer-Meinhardt d'équations de réaction-diffusion qui modélise la formation de motifs biologiques. Ce problème est celui de trouver des solutions positives d'une équation critique dans un domaine régulier et borné de dimension trois, avec une condition de Neumann homogène au bord. Dans cette thèse, nous construisons des solutions à ce problème présentant un comportement explosif en un point du domaine, lorsqu'un certain paramètre converge vers une valeur critique. La chimiotaxie est l'influence de substances chimiques dans un environnement sur le mouvement des organismes. Le modèle de Keller-Segel pour la chimiotaxie est un système de diffusion-advection composé de deux équations paraboliques couplées. Ici, nous nous intéressons aux états stationnaires radiaux de ce système. Nous sommes alors amenés à étudier une équation critique dans la boule unité de dimension 2, avec une condition de Neumann homogène au bord. Dans cette thèse, nous construisons plusieurs familles de solutions radiales qui explosent à l'origine de la boule, et se concentrent sur le bord et/ou sur une sphère intérieure, lorsqu' un certain paramètre converge vers zéro. Enfin, nous étudions le problème de la courbure scalaire prescrite. Étant donnée une variété Riemannienne compacte de dimension n, nous voulons trouver des métriques conformes dont la courbure scalaire soit une fonction prescrite, qui dépend d'un petit paramètre. Nous supposons que cette fonction a un point critique qui satisfait une hypothèse de platitude appropriée. Nous construisons plusieurs métriques, qui explosent lorsque le paramètre converge vers zéro, avec courbure scalaire prescrite. / This thesis is devoted to the analysis of singularities in nonlinear elliptic partial differential equations arising in mathematical physics, mathematical biology, and conformal geometry. The topics treated are the Ginzburg-Landau model of superconductivity, the Lin-Ni-Takagi problem, the Keller-Segel model of chemotaxis, and the prescribed scalar curvature problem. The Ginzburg-Landau model is a phenomenological description of superconductivity. An essential feature of type-II superconductors is the presence of vortices, which appear above a certain value of the strength of the applied magnetic field called the first critical field. We are interested in the regime of small epsilon, where epsilon is the inverse of the Ginzburg-Landau parameter (a material constant). In this regime, the vortices are at main order co-dimension 2 topological singularities. We provide a quantitative three-dimensional vortex approximation construction for the Ginzburg-Landau energy, which gives an approximation of vortex lines coupled to a lower bound for the energy, which is optimal to leading order and valid at the epsilon-level. By using these tools we then analyze the behavior of global minimizers below and near the first critical field. We show that below this critical value, minimizers of the Ginzburg-Landau energy are vortex-free configurations and that near this value, minimizers have bounded vorticity. The Lin-Ni-Takagi problem arises as the shadow of the Gierer-Meinhardt system of reaction-diffusion equations that models biological pattern formation. This problem is that of finding positive solutions of a critical equation in a bounded smooth three-dimensional domain, under zero Neumann boundary conditions. In this thesis, we construct solutions to this problem exhibiting single bubbling behavior at one point of the domain, as a certain parameter converges to a critical value. Chemotaxis is the influence of chemical substances in an environment on the movement of organisms. The Keller-Segel model for chemotaxis is an advection-diffusion system consisting of two coupled parabolic equations. Here, we are interested in radial steady states of this system. We are then led to study a critical equation in the two-dimensional unit ball, under zero Neumann boundary conditions. In this thesis, we construct several families of radial solutions which blow up at the origin of the ball and concentrate on the boundary and/or an interior sphere, as a certain parameter converges to zero. Finally, we study the prescribed scalar curvature problem. Given an n-dimensional compact Riemannian manifold, we are interested in finding bubbling metrics whose scalar curvature is a prescribed function, depending on a small parameter. We assume that this function has a critical point which satisfies a suitable flatness assumption. We construct several metrics, which blow-up as the parameter goes to zero, with prescribed scalar curvature.

The main goal of this thesis is to prove the global (in time) existence of small data Sobolev solutions to semi-linear damped σ-evolution equations from suitable function spaces basing on L^q spaces by mixing additional L^m regularity for the data on the basis of L^q-L^q estimates for solutions, with q∈(1,∞) and m∈[1,q), to the corresponding linear models. To establish desired results, we would like to apply the theory of modified Bessel functions, Faà di Bruno's formula and Mikhlin-Hörmander multiplier theorem in the treatment of linear problems. In addition, some of modern tools from Harmonic Analysis play a fundamental role to investigate results for the global existence of small data Sobolev solutions to semi-linear problems. Finally, the application of a modified test function method is to devote to the proof of blow-up results for semi-linear damped σ-evolution models, where σ≥1 and δ∈[0,σ) are assumed to be any fractional numbers.

The PhD thesis deals with global in time existence results and blow-up result for a semilinear wave model with scale-invariant damping and mass. Since the time-dependent coefficients for the considered model make somehow the damping and the mass a threshold term between effective and non-effective terms, it turns out that a fundamental role in the description of qualitative properties of solutions to this semilinear model and to the corresponding linear homogeneous Cauchy problem is played by the multiplicative constants appearing in those coefficients. For coefficients that make the damping term dominant, we can use the standard approach for the classical damped wave model with L^2 − L^2 estimates and the so-called test function method. On the other hand, when the interaction among those coefficients is balanced, then, it is possible to observe how typical tools for hyperbolic models, as for example Kato’s lemma, provide sharp global in time existence results and sharp blow-up results for super- and sub-Strauss type exponents, respectively.

Inspired by studies on the regularity of solutions to the fractional Navier-Stokes system and the impact of noise on singularity formation in hydrodynamic models, we investigated these issues within the framework of the fractional 1D Burgers equation. Initially, our research concentrated on the deterministic scenario, where we conducted precise numerical computations to understand the dynamics in both subcritical and supercritical regimes. We utilized a pseudo-spectral approach with automated resolution refinement for discretization in space combined with a hybrid Crank-Nicolson/ Runge-Kutta method for time discretization.We estimated the blow-up time by analyzing the evolution of enstrophy (H1 seminorm) and the width of the analyticity strip. Our findings in the deterministic case highlighted the interplay between dissipative and nonlinear components, leading to distinct dynamics and the formation of shocks and finite-time singularities. In the second part of our study, we explored the fractional Burgers equation under the influence of linear multiplicative noise. To tackle this problem, we employed the Milstein Monte Carlo approach to approximate stochastic effects. Our statistical analysis of stochastic solutions for various noise magnitudes showed that as noise amplitude increases, the distribution of blow-up times becomes more non-Gaussian. Specifically, higher noise levels result in extended mean blow-up time and increase its variability, indicating a regularizing effect of multiplicative noise on the solution. This highlights the crucial role of stochastic perturbations in influencing the behavior of singularities in such systems. Although the trends are rather weak, they nevertheless are consistent with the predictions of the theorem of [41]. However, there is no evidence for a complete elimination of blow-up, which is probably due to the fact that the noise amplitudes considered were not sufficiently large. This highlights the crucial role of stochastic perturbations in influencing the behavior of singularities in such systems. / Thesis / Master of Science (MSc)

John Blow (1649-1708) was among the first group of boys pressed into the service of King Charles II, following the decade of Puritan rule. Blow would make compositional efforts as early as 1664 and, at the age of nineteen, began to assume professional positions within the London musical establishment, ultimately becoming, along with his pupil and colleague, Henry Purcell, London's foremost musician. Restoration sacred music is generally thought of in connection with the stile nuovo which, for the first time, came to be a fully accepted practice among English musicians for the church. But the English sacred polyphonic art, little threatened by England's largely political Reformation, embodied sufficient flexibility as to allow it to absorb new ideas, thereby remaining vital well into the seventeenth century. Preserved from decisive Italian influences by the Interregnum, the English sacred polyphonic tradition awoke at the Restoration full of potential for continuing creative activity. In addition to studying Blow's polyphonic compositions, including the transcription of several not available in modern edition, this paper seeks to address the unique nature of the English polyphonic tradition which allowed it to retain its vitality throughout the seventeenth century, while other polyphonic traditions were succumbing to the ossifying influences of the stile antico concept. Identification of the Continental stile antico through pertinent treatises and scores revealed a marked distinction between its application and the English polyphonic art as seen in the work of John Blow. In the end, the peculiar nature of Restoration polyphony is seen to be derived from a number of factors, among them, the continuation of liturgical ceremonial within the independent English church, the flexibility of the English polyphonic medium with regard to new musical developments, and the interruption of England's cathedral music tradition just as Italian influence was beginning to be felt in liturgical music. The sacred polyphony of John Blow represents the last great flowering of the English polyphonic tradition, with all of its idiosyncracies, in a lively, as yet unfettered style.