Circulation control involves tangentially blowing air around a rounded trailing edge in order to augment the lift of a wing. The advantages of this technique over conventional mechanical controls are reduced maintenance and lower observability. Despite the technology first being proposed in the 1960s and well-studied since, circulation control is not in widespread use today. This is largely due to the high mass flow requirements. Increasing the jet velocity increases both the efficiency (in terms of mass flow) and effectiveness. However, as the jet velocity exceeds the speed of sound, shock structures form which cause the jet to separate. Recent developments in the field of fluidic thrust vectoring (FTV) have shown that an asymmetrical convergent-divergent nozzle capable of producing an irrotational vortex (IV) has the potential to prevent separation through eliminating stream-wise pressure gradients. In this study, the feasibility of preventing separation at arbitrarily high jet velocities through the use of asymmetrical nozzle geometries designed to maintain irrotational (and stream-wise pressure gradient free) flow is explored. Furthermore, the usefulness of an adaptive nozzle geometry for the purpose of extending circulation control device efficiency and effectiveness is defined. Through a series of experiments, the flow physics of supersonic curved wall jets is characterised across a range of nozzle geometries. IV and equivalent area ratio symmetrical convergent-divergent nozzles are compared across three slot height to radius ratios (H/R): H/R = 0.1, H/R = 0.15, H/R = 0.2. The conclusion of this study is that at low H/R (0.1 and 0.15), there is no significant difference in behaviour between IV and symmetrical nozzles, whilst at high H/R (0.2), the IV nozzles begin separating whilst correctly expanded due to the propagation of pressure upstream from the edge of the reaction surface via the boundary layer. Consequently, it is shown that symmetrical nozzles of equivalent mass flow at high H/R have a higher separation NPR compared to IV nozzles. Specifically, the elimination of favourable, in addition to adverse stream-wise pressure gradients contradicts the expected behaviour of IV nozzles. The separation NPR for nozzles tested in this study, in addition to past studies is subsequently plotted against the throat height to radius ratios (A*/R). This shows that in fact, no previous experiments have shown a higher separation NPR for IV nozzles compared to symmetrical nozzles of equivalent mass flow. The overall outcome is that neither fixed geometry IV, nor adaptive nozzles are justified to maintain attachment, or to improve efficiency. This is because fixed nozzle geometries designed for higher separation NPR do not show any performance deficit when operating at lower NPRs. However, the throat height could be varied to maximise effectiveness (at the expense of mass flow). The contributions to new knowledge made by this study are as follows: the development of a new method of combining shadowgraph and schlieren images to simplify and enhance visualisation of supersonic flows; the use of pressure sensitive paint (PSP) to study the structure of the supersonic curved wall jet before and after separation; the identification of a clear mechanism for the separation of supersonic curved wall jets, valid over a broad range of nozzle geometries (including a clarification of previously unexplained behaviour witnessed in prior studies); the explanation that reattachment hysteresis occurs due to the upstream movement of the point of local separation at full separation (specifically, this explains why certain geometries such as backward-facing steps prevent reattachment hysteresis).

abstract: The focus of this investigation is on the renewed assessment of nonlinear reduced order models (ROM) for the accurate prediction of the geometrically nonlinear response of a curved beam. In light of difficulties encountered in an earlier modeling effort, the various steps involved in the construction of the reduced order model are carefully reassessed. The selection of the basis functions is first addressed by comparison with the results of proper orthogonal decomposition (POD) analysis. The normal basis functions suggested earlier, i.e. the transverse linear modes of the corresponding flat beam, are shown in fact to be very close to the POD eigenvectors of the normal displacements and thus retained in the present effort. A strong connection is similarly established between the POD eigenvectors of the tangential displacements and the dual modes which are accordingly selected to complement the normal basis functions. The identification of the parameters of the reduced order model is revisited next and it is observed that the standard approach for their identification does not capture well the occurrence of snap-throughs. On this basis, a revised approach is proposed which is assessed first on the static, symmetric response of the beam to a uniform load. A very good to excellent matching between full finite element and ROM predicted responses validates the new identification procedure and motivates its application to the dynamic response of the beam which exhibits both symmetric and antisymmetric motions. While not quite as accurate as in the static case, the reduced order model predictions match well their full Nastran counterparts and support the reduced order model development strategy. / Dissertation/Thesis / M.S. Mechanical Engineering 2011

BATISTA JÚNIOR, Francisco Florêncio. Propriedades termodinâmicas, eletrônicas e de transporte de sistemas curvos semicondutores. 2014. 104 f. Tese (Doutorado em Física) - Programa de Pós-Graduação em Física, Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2014. / Submitted by Edvander Pires (edvanderpires@gmail.com) on 2014-09-12T20:11:36Z No. of bitstreams: 1 2014_tese_ffbatistajunior.pdf: 17233595 bytes, checksum: 9f4c5f7e5b2bbf9bf2975c26ed164fb9 (MD5) / Approved for entry into archive by Edvander Pires(edvanderpires@gmail.com) on 2014-09-12T20:23:03Z (GMT) No. of bitstreams: 1 2014_tese_ffbatistajunior.pdf: 17233595 bytes, checksum: 9f4c5f7e5b2bbf9bf2975c26ed164fb9 (MD5) / Made available in DSpace on 2014-09-12T20:23:03Z (GMT). No. of bitstreams: 1 2014_tese_ffbatistajunior.pdf: 17233595 bytes, checksum: 9f4c5f7e5b2bbf9bf2975c26ed164fb9 (MD5) Previous issue date: 2014 / We study thermodynamic properties of an electron gas confined in a two-dimensional cylindrical surface under the action of a magnetic field perpendicular to the cylinder axis. We observed that the applied magnetic field has a similar effect to that produced by a non-homogeneous magnetic field on a flat system. We calculate the energy spectrum of the system for different values of curvature and symmetry of the magnetic field to the surface. We show that the physical properties of these systems are strongly connected to the symmetry imposed by the magnetic field by calculating the density of states, specific heat and chemical potential. We investigate how the curvature of a semiconductor film affects its electronic and transport properties. We study how the geometry-induced potential resulting exclusively from periodic ripples in the film modifies its band structure by inducing electronic confinement. For fixed curvature parameters, this confinement can be easily tuned by an external electric field, so that features of the band structure such as the energy gaps and band curvature can be controlled by an external parameter. We also show that, for some values of curvature and electric field, it is possible to obtain massless Dirac bands for a smooth structure. Moreover, we use a wave packet propagation method to demonstrate that the ripples are responsible for a significant inter-sub-band transition, specially for moderate values of the ripple height. / Neste trabalho estudamos propriedades termodinâmicas de um gás de elétrons confinado em uma superfície bidimensional cilíndrica sob a ação de um campo magnético perpendicular ao eixo do cilindro. Observamos que o campo magnético aplicado desta forma produz efeito similar ao produzido por um campo magnético não-homogêneo em um sistema plano. Calculamos o espectro de energia nesse sistema para diferentes valores de curvatura e simetria do campo com a superfície. Mostramos que as propriedades físicas desses sistemas estão fortemente ligadas a essa simetria do campo magnético através do cálculo da densidade de estados, potencial químico e calor específico do sistema. Investigamos como a curvatura de um filme semicondutor afeta suas propriedades eletrônicas e de transporte. Estudamos como o potencial efetivo induzido pelas deformações de curvatura periódicas no filme modificam sua estrutura de bandas induzindo o confinamento eletrônico. Para parâmetros fixos de curvatura, tal confinamento pode ser ajustado através de um campo elétrico externo, de modo que certas características da estrutura de bandas tais como emph{gaps} de energia e curvaturas das bandas podem ser controladas por um parâmetro externo. Também mostramos que, para alguns valores de curvatura e campo elétrico, é possível obter bandas de Dirac para filmes semicondutores com curvatura Gaussiana. Além disso, usamos um método de propagação de pacotes de onda para demonstrar que as curvaturas são responsáveis por significantes transições entre sub-bandas, especialmente para valores moderados de curvatura.

Le besoin en haute performance en termes de qualité image, résolution et champ de vue accroît la complexité et le budget masse/volume des instruments optiques. Ces contraintes impactent toutes les applications: l’astronomie, la défense, les missions spatiales, la médecine, les objectifs d’appareil photos et caméras, les smartphones, les drones. Afin de résoudre cette problématique dans les instruments d’observation astronomique, je considère deux technologies : les optiques freeform et les détecteurs courbes, qui offrent une nouvelle ère pour le design de systèmes optiques.L’augmentation de la taille des télescopes en orbite basse est nécessaire pour atteindre une observation planétaire à haute résolution spatiale, ce qui implique des systèmes d’imagerie complexes et de grand plans focaux. L’utilisation de systèmes d’imagerie homothétiques aux satellites à défilement Spot et Pleiades mènerait à des dimensions de plans focaux prohibitifs, tout particulièrement pour des missions en infrarouge nécessitant un cryostat. Deux télescopes optiques sont présentés, ils utilisent un module de segmentation composé de miroirs freeform qui permet de réduire considérablement la dimension du plan focal. Les capteurs courbes permettent réduire de manière considérable la complexité des imageurs et des spectromètres en corrigeant directement l'aberration de courbure de champ en plan focal. Je présente des études comparatives sur des systèmes optiques grand champ depuis des champs de vue astronomiques jusqu’à celui du Fishseye, ainsi que les résultats obtenus avec nos deux prototypes d’objectif grand champ utilisant les premiers capteurs courbes CMOS visibles full-frame. / The need of high performance in terms of image quality, high resolution and wide field of view increases the complexity and the volume/mass budget of telescopes and their instruments. Such constraints concern also a wide range of applications: astronomy, defense and surveillance, space missions, biomedical imaging, camera objectives, smartphones, drones. To overcome these issues in astronomical instruments, I consider two technologies: freeform optics and curved sensors, offering a new era for the design of optical systems.Increasing the size of low-orbiting space telescopes is necessary to reach high resolution observation of planets, which implies more complex imaging systems and large focal planes. The use of homothetic imaging systems as Spot and Pleiades pushbroom satellites would lead to prohibitive large linear focal plane dimensions, especially for infrared missions requiring a cryostat. Two optical telescopes are presented, they use an image segmentation made of freeform mirrors which allows to reduce significantly the size of the focal plane. Curved sensors enable to reduce drastically the complexity of imagers and spectrometers by correcting the field curvature aberration directly in the focal plane. I present comparative studies on wide field optical designs from astronomical to Fisheye instruments and the results obtained with our two wide field imaging prototypes using the first visible full-frame CMOS curved sensors.

O presente trabalho faz uma comparação entre resultados obtidos por um método prático e simplificado e o Método dos Elementos Finitos na determinação de esforços solicitantes em pontes celulares curvas em planta, submetidas à protensão. Na primeira parte, teórica, apresenta-se os conceitos fundamentais das vigas celulares curvas, mostrando-se principalmente as diferenças de seu comportamento em relação ao das vigas retas. Em seguida discute-se a protensão de peças de concreto com ênfase no seu efeito em vigas curvas. Finalmente, são apresentados os métodos a serem utilizados no cálculo, percorrendo as diversas situações de carregamento, mas sempre enfatizando o carregamento de protensão. Na segunda parte, prática, é elaborado um estudo comparativo, tomando-se como exemplo duas pontes rodoviárias em viga unicelular, sendo uma biapoiada e outra contínua, submetidas a protensão. Após a construção de modelos, tais vigas são processadas através de um programa comercial de elementos finitos. Alguns resultados são então comparados com aqueles obtidos através do método simplificado, elaborando-se assim observações práticas e que possam ser utilizadas nos projetos corriqueiros de engenharia. / This work compares the results from a practical and simplified method and the Finite Element Method to determinate section efforts in prestressed box-girder curved bridges. The first part, theoretical, introduces the basic principles of the cellular curved beams, showing the differences of its behavior comparing with straight beams. Next, prestressing of concrete members is discussed, emphasizing its effects in curved beams. Finally, calculation methods are presented, covering many loading situations, but always emphasizing the prestressing load. In the second part, practical, a comparative study is elaborated, taking two road unicellular bridges, one simply supported and another continuum, submitted to prestressing load. After models construction, such beams are calculated using a commercial software of Finite Element Method. Then, some results are compared with those calculated by simplified method, thus elaborating practical comments that can be used in the current designs of engineering.

Esse trabalho visa a estudar os efeitos dinâmicos provocados por um veículo classe 3C em uma ponte de concreto de seção unicelular, com curvatura em planta, por meio da modelagem do veículo, do pavimento, das forças de interação veículo-pavimento e da estrutura. Partiu-se do modelo do veículo com nove graus de liberdade, considerando o desacoplamento dos esforços longitudinais de interação dos esforços transversais (força de inércia centrífuga). Foram calculados os carregamentos provenientes do veículo modelado, primeiramente sobre tabuleiro rígido indeslocável, considerando as irregularidades geométricas apresentadas no pavimento, com perfis iguais ou distintos sobre cada linha de pneus. Estes carregamentos foram condensados estaticamente e aplicados em um modelo estrutural simplificado (\'unifilar\') de uma ponte em seção unicelular. Utilizou-se um método iterativo para a obtenção dos esforços de interação, até se alcançar a convergência. Ainda foram confrontados resultados para duas situações de tráfego, sendo a primeira para veículo isolado trafegando sobre a estrutura e a segunda para um comboio de veículos. Por fim, as respostas dinâmicas obtidas da interação veículo-estrutura do modelo foram comparadas com uma resposta quase-estática, para a obtenção dos coeficientes de amplificação dinâmica. / This dissertation aims at studying the dynamic effects produced by a 3C class vehicle on a curved concrete bridge with box girder section, by modelling the vehicle, the roughness profile, the bridge-vehicle interaction forces and the structure. It started from a model with nine degrees-of-freedom, considering the uncoupling of the longitudinal interaction forces of the transversal forces (centrifugal force of inertia). The loads are evaluated for the vehicle model travelling, firstly on a rigid uneven pavement, considering equal and different roughness profiles under the tires. These loads are statically condensed at the centre of gravity of the car and applied to a simplified (\'unifilar\') structural model of a concrete bridge with box girder section. An iterative method has been used to obtain the interaction forces until the convergence could be achieved. Furthermore, the results for two traffic situations were compared, the first being when a single vehicle is traveling along the structure, whereas the second refers to a train of vehicles. Finally, the dynamic response obtained from the bridge-vehicle interaction was compared with a quasi-static response, allowing for the evaluation of the dynamic amplification coefficients.

We extend the concept of central configurations to the N-body problem in spaces of nonzero constant curvature. Based on the work of Florin Diacu on relative equilib- ria of the curved N-body problem and the work of Smale on general relative equilibria, we find a natural way to define the concept of central configurations with the effective potentials. We characterize the ordinary central configurations as constrained critical points of the cotangent potential, which helps us to establish the existence of ordi- nary central configurations for any given masses. After these fundamental results, we study central configurations on H2, ordinary central configurations in S3, and special central configurations in S3 in three separate chapters. For central configurations on H2, we generalize the theorem of Moulton on geodesic central configurations, the theorem of Shub on the compactness of central configurations, the theorem of Conley on the index of geodesic central configurations, and the theorem of Palmore on the lower bound for the number of central configurations. We show that all three-body central configurations that form equilateral triangles must have three equal masses. For ordinary central configurations in S3, we construct a class of S3 ordinary central configurations. We study the geodesic central configurations of two and three bodies. Three-body non-geodesic ordinary central configurations that form equilateral trian- gles must have three equal masses. We also put into the evidence some other classes of central configurations. For special central configurations, we show that for any N ≥ 3, there are masses that admit at least one special central configuration. We then consider the Dziobek special central configurations and obtain the central con- figuration equation in terms of mutual distances and volumes formed by the position vectors. We end the thesis with results concerning the stability of relative equilibria associated with 3-body special central configurations. We find that these relative equilibria are Lyapunov stable when confined to S1, and that they are linearly stable on S2 if and only if the angular momentum is bigger than a certain value determined by the configuration. / Graduate

Titanium dioxide (TiO2) is an important semiconducting metal oxide and is expected to play an important role in future applications related to photonic crystals, energy storage, and photocatalysis. Two aspects regarding the combustion synthesis have been investigated; scale-up in laboratory synthesis and advanced nanoparticle synthesis. Concerning the scale-up issue, a novel curved wall-jet (CWJ) burner was designed for flame synthesis. This was achieved by injecting precursors of TiO2 through a central port into different flames zones that were stabilized by supplying fuel/air mixtures as an annular-inward jet over the curved wall. This provides a rapid mixing of precursors in the reaction zone with hot products. In order to increase the contact surface between the precursor and reactants as well as its residence time within the hot products, we proposed two different modifications. The CWJ burner was modified by adding a poppet valve on top of the central port to deliver the precursor tangentially into the recirculating flow upstream within the recirculation zone. Another modification was made by adopting double-slit curved wall-jet (DS-CWJ) configuration, one for the reacting mixture and the other for the precursor instead of the central port. Particle growth of titanium dioxide (TiO2) nanoparticles and their phases were investigated. Ethylene (C2H4), propane (C3H8), and methane (CH4) were used with varying equivalence ratio and Reynolds number and titanium tetraisopropoxide (TTIP) was the precursor. Flow field and flame structure were quantified using particle image velocimetry (PIV) and OH planar laser-induced fluorescence (PLIF) techniques, respectively. TiO2 nanoparticles were characterized using high-resolution transmission electron microscopy (HRTEM), X-ray diffraction (XRD), Raman Spectroscopy, and BET nitrogen adsorption for surface area analysis. The flow field quantified by PIV consisted of a wall-jet region leading to a recirculation zone, an interaction jet region, followed by a merged-jet region. The modified CWJ burner revealed appreciable mixing characteristics between the precursor and combustion gases within these regions, with a slight increase in the axial velocity due to the precursor injection. This led to more uniformity in particle size distribution of the synthesized nanoparticles with the poppet valve (first modification). The double-slit modification improved the uniformity of generated nanoparticles at a very wide range of stable experimental conditions. Images of OH fluorescence showed that flames are tightly attached to the burner tip and TTIP has no influence on these flames structures. The particle size was slightly affected by the operating conditions. The phase of TiO2 nanoparticles was mainly dependent on the equivalence ratio and fuel type, which impact flame height, heat release rate and high temperature residence time of the precursor vapor. For ethylene and methane flames, the anatase content is proportional to the equivalence ratio, whereas it is inversely proportional in the case of propane flames. The anatase content reduced by 8% as we changed Re between 8,000 and 19,000, implying that the Re has a slight effect on the anatase content. The synthesized TiO2 nanoparticles exhibited high crystallinity and the anatase phase was dominant at high equivalence ratios (φ >1.6) for C2H4, and at low equivalence ratios (φ <1.3) for the C3H8 flame. Concerning advanced nanoparticle synthesis, a multiple diffusion burner and flame spray pyrolysis (FSP) were adopted in this study to investigate the effect of doping/coating on TiO2 nanoparticles. The nanoparticles were characterized by the previously mentioned techniques in addition to thermogravimetric analysis (TGA) for carbon content, X-ray photoelectron spectroscopy (XPS) for surface chemistry, ultraviolet-visible spectroscopy (UV-vis) for light absorbance, inductively coupled plasma (ICP) for metal traces, and superconducting quantum interference device (SQUID) for magnetic properties. Results from multi diffusion burner show that doping TiO2 with vanadium changes the phase from anatase to rutile while doping and coating with carbon or SiO2 does not affect the phase. Doping with iron reduces the band gab of TiO2 particles by reducing the conduction band. FSP results show that iron doping changes the valance band of the nanoparticles and enhances their paramagnetic behavior as well as better light absorption than pure titania, which make these particles good candidates for photocatalytic applications.

Live load distribution factors are used to determine the live-load moment for bridge girder design when a two dimensional analysis is conducted. A simple, analysis of bridge superstructures are considered to determine live-load factors that can be used to analyze different types of bridges. The distribution of the live load factors distributes the effect of loads transversely across the width of the bridge superstructure by proportioning the design lanes to individual girders through the distribution factors. This research study consists of the determination of live load distribution factors (LLDFs) in both interior and exterior girders for horizontally curved concrete box girder bridges that have central angles, with one span exceeding 34 degrees. This study has been done based on real geometry of bridges designed by a company for different locations. The goal of using real geometry is to achieve more realistic, accurate, and practical results. Also, in this study, 3-D modeling analyses for different span lengths (80, 90, 100, 115, 120, and 140 ft) have been first conducted for straight bridges, and then the results compared with AASHTO LRFD, 2012 equations. The point of starting with straight bridges analyses is to get an indication and conception about the LLDF obtained from AASHTO LRFD formulas, 2012 to those obtained from finite element analyses for this type of bridge (Concrete Box Girder). After that, the analyses have been done for curved bridges having central angles with one span exceeding 34 degrees. Theses analyses conducted for various span lengths that had already been used for straight bridges (80, 90, 100, 115, 120, and 140 ft) with different central angles (5º, 38º, 45º, 50º, 55º, and 60º). The results of modeling and analyses for straight bridges indicate that the current AASHTO LRFD formulas for box-girder bridges provide a conservative estimate of the design bending moment. For curved bridges, it was observed from a refined analysis that the distribution factor increases as the central angle increases and the current AASHTO LRFD formula is applicable until a central angle of 38º which is a little out of the LRFD`s limits.

Reinforced concrete frame corners (that is, knee joints) subjected to closing moments plays an important role of transmitting stress between the two adjoining members. Being categorized as geometric discontinuity regions (D-regions), knee joints cannot be correctly analyzed and designed using traditional sectional analysis procedures. Instead, the strut-and-tie method is particularly suitable for such joints. Although strut-and-tie models provide the means to represent the distribution of stresses within a closing knee joint, questions arise when a curved-bar node is used to model the bar bend of the longitudinal reinforcement at the outer corner. The code-specified design expressions for curved-bar nodes have not been experimentally verified; therefore, the accuracy and conservativeness of the expressions remain unknown. This research project is aimed to provide insights to the proper application of the strut-and-tie method, through the concept of curved-bar nodes, to knee joints under closing moments.<br><br>An experimental program consisting of 24 specimens was conducted to investigate the effect of curved-bar nodes on knee joints under closing moments. An evaluation of the code-specified design expressions was included. The results demonstrate that the minimum code-specified bend radius is appropriate. The current requirements related to bond along the bar bend and clear side cover are shown to be conservative. Based on the test results, a procedure for constructing proper strut-and-tie models for closing knee joints is proposed and verified using an evaluation database consisting of 116 knee joint tests from the literature. Compared to other strength predictive methods and the code-specified strut-and-tie method, the proposed strut-and-tie method mitigates unconservativeness and delivers improved accuracy.<br>In addition to the experimental program and the proposed procedure, non-linear finite element analysis (FEA) using the software ATENA-3D was employed to conduct a parametric analysis as a supplement to the experimental data. Seventy-two numerical models were analyzed to further evaluate the code-specified expressions and the proposed strut-and-tie method. The FEA results are in a good agreement with the experimental observations and corroborate the conclusions from the experimental program regarding current code requirements. Moreover, the parametric analysis further supports the application of the proposed strut-and-tie methodology to knee joints under closing moments.