A cavitação e a dinâmica de bolhas são tópicos bastante recorrentes na literatura, devido sobretudo a seus efeitos em diversos tipos de fenômenos, como transferência de calor e escoamento em tubos. Considerando fases líquidas, sabe-se que estas estruturas de cavidade estão normalmente associadas ao equilíbrio metaestável, alcançado devido a quedas locais de pressão ou ao superaquecimento de uma substância pura (ou quase). Nestes casos é necessária a inicialização da mudança de fase através de algum mecanismo adequado, o qual gera uma sequência rápida de fenômenos. Apesar de comumente associado a danos, recentemente vários estudos vêm mostrando aplicações práticas deste tema, além de um campo ainda pouco explorado, que é o das macro cavidades. Essas cavidades podem ser geradas através do aquecimento de água a baixa pressão, sob condições específicas, criando sequências explosivas e formando movimentos como pistão para a água no interior de um invólucro convenientemente dimensionado. Este fenômeno mostra-se semelhante em diversos aspectos às micro cavidades, mais especificamente às cavidades próximas a superfícies livres, embora, sem dúvida, em escala muito maior. Os aspectos mencionados foram filmados com câmeras de alta velocidade e as características observadas foram comparadas com aquelas observadas em micro escala. Vários testes foram desenvolvidos de forma a melhor entender a dinâmica da formação e colapso dessas estruturas, sobretudo levando em conta um comportamento mais unidimensional para a evolução da bolha. Através de várias aproximações e análise de diferentes hipóteses para a variação de pressão e para a força de resistência, soluções analíticas e numéricas foram obtidas para a força exercida no fundo do contêiner e para a expansão e colapso das bolhas ao longo do tempo. As soluções propostas, em comparação com os dados experimentais, mostraram boa concordância entre si, sugerindo que os aspectos fundamentais da dinâmica da cavidade foram devidamente considerados e quantificados. / Cavitation and bubble dynamics are fairly recurring topics in literature, mostly due to their effects in various types of phenomena such as heat transfer and flow in pipes. Considering liquid phases, it is known that these cavity structures are normally associated with the metastable equilibrium, reached due to local pressure drop or overheating of a pure substance (or nearly so). In these cases, the phase change require a startup via some appropriate mechanism, which generates a fast sequence of phenomena. Although commonly associated with damage, recently several studies shown practical applications of these topics, and a still little explored field emerged, which is the field of macro cavities. These cavities can be generated by heating water at a low pressure, under specific conditions, creating an explosive sequences and forming piston like movements for the water inside a properly scaled casing. This phenomenon appears to be similar in many aspects to micro cavities, more specifically for cavities near free surfaces, although, without doubt, on a much larger scale. The mentioned aspects were filmed with high-speed cameras and the main features were compared with those observed in micro scale. Several tests have been developed to better understand the dynamics of the formation and collapse of these structures, especially taking into account a more one-dimensional behavior to the evolution of the bubble. Through various approximations, and analysis of different assumptions for the variation of pressure and the resistance force, analytical and numerical solutions were obtained for the force exerted on the bottom of the container and the expansion and collapse of bubbles over time. The proposed solutions in comparison with experimental data showed good agreement between each other suggesting that the fundamental aspects of the dynamics of the cavity were properly considered and quantified.

Made available in DSpace on 2016-03-15T19:37:56Z (GMT). No. of bitstreams: 1 CARLOS EDUARDO PROFETA DE CARVALHO.pdf: 1714302 bytes, checksum: 9f543bb164424f04ade23ddc5bedeb07 (MD5) Previous issue date: 2015-03-04 / Cellular automata are discrete complex systems and also fully distributed computational systems, with arbitrarily simple local processing. One of computations that can be made with cellular automata is sorting of numerical sequences. Sorting is a quite relevant topic and widely used in computing, as one of its fundamental processes. This research aimed at the development of sorting algorithms based on one-dimensional cellular automata. Two new versions with range 1 and 3 have been proposed, inspired by the characteristics of existing studies in the literature. In the analysis carried out, the proposed cellular automata have advantages over the approaches that originated them. / Autômatos celulares são sistemas complexos discretos e também sistemas computacionais totalmente distribuídos, com processamento local arbitrariamente simples. Uma das computações que se pode realizar com autômatos celulares é a ordenação de sequências numéricas. A ordenação é um tema bastante relevante e utilizado amplamente na computação, como um de seus processos fundamentais. A presente pesquisa visou o desenvolvimento de algoritmos de ordenação baseados em autômatos celulares unidimensionais. Foram propostas duas novas versões, de raios 1 e 3, inspirados por características de trabalhos existentes na literatura. Em análise realizada, os autômatos celulares propostos apresentam vantagens com relação às abordagens que lhes deram origem.

Nesta tese é abordado o problema da mochila compartimentada e o problema de corte de estoque unidimensional acoplado ao problema dimensionamento de lotes. Para o problema da mochila compartimentada é apresentada a versão unidimensional e proposta a versão bidimensional, denominados como problema da mochila compartimentada unidimensional e problema da mochila compartimentada bidimensional, respectivamente. Para o problema de corte de estoque acoplado ao dimensionamento de lotes são apresentadas três variações: uma máquina para produzir um tipo de objeto; uma máquina para produzir vários tipos de objetos; múltiplas máquinas para produzir vários tipos de objetos. Algumas formulações matemáticas de programação inteira e inteira-mista, decomposições dos problemas em problema mestre e subproblemas e heurísticas baseadas no método geração de colunas são propostas para os problemas da mochila compartimenta e o problema acoplado. Em específico, para o problema acoplado são aplicadas decomposições Dantzig-Wolfe, que podem ser por período, por máquina ou por período e máquina. Além disso, uma heurística baseada em grafo E/OU é proposta para o problema da mochila compartimentada bidimensional / In this thesis we present the constrained compartmentalized knapsack problem and the one dimensional cutting stock problem integrated with the capacitated lot sizing problem. For the constrained compartmentalized knapsack problem, the one dimensional version is presented and the two dimensional version is proposed, called one-dimensional compartmentalized knapsack problem and two-dimensional compartmentalized knapsack problem, respectively. For the cutting stock problem integrated with the capacitated lot sizing problem three variations are considered: one machine to produce one type of object; one machine to produce multiple types of objects; multiple machines to produce multiple types of objects. Some integer and mixed programming formulations, decompositions of the problems in master problem and subproblems and heuristics based on column generation method are proposed for the compartmentalized knapsack problem and the cutting stock problem integrated with the capacitated lot sizing problem. In particular, the period, the machine, and the period and machine Dantzig- Wolfe decompositions are applied for the integrated problem. Moreover, a heuristic based on the graph AND/OR is proposed for the two-dimensional compartmentalized knapsack problem. Computational results show that these mathematical formulations and methods provide good solutions

The paper deals with tau-extrapolation - a modification of the multigrid method, which leads to solutions with an improved con- vergence order. The number of numerical operations depends linearly on the problem size and is not much higher than for a multigrid method without this modification. The paper starts with a short mathematical foundation of the tau-extrapolation. Then follows a careful tuning of some multigrid components necessary for a successful application of tau-extrapolation. The next part of the paper presents numerical illustrations to the theoretical investigations for one- dimensional test problems. Finally some experience with the use of tau-extrapolation for the Navier-Stokes equations is given.

Att barn spenderar sina dagar på förskolan medan föräldrarna lönearbetar tillhör vanligheten. Barns vistelsetid på förskolan står generellt i proportion till förälderns arbetstid. Förskolan är en plats för fostran och socialisation, och lönearbetet en möjlighet till självrealisation. Arbetets position, syfte, den tid det tar i anspråk och de normer som omger det skapar en komplex och många gånger motstridig tillvaro där lojalitetskonflikter och etiska dilemman lätt kan uppstå. Vår uppsats utgår från en semistrukturerad kvalitativ intervju med en fenomenologisk ansats. Vi undersöker hur åtta föräldrar med barn på förskola upplever sin situation utifrån de krav som ställs från sysselsättning, förskola och viljan att göra det bästa för sitt barn. De tre perspektiven förskola, barn och arbetsnorm lyser som en röd tråd genom uppsatsen och analyseras med en tematisk analysmetod. Syftet är att bättre förstå arbete, och dess position utifrån föräldrarnas upplevelser; hur arbetet och förskola påverkar föräldrarna. Roland Paulsens begrepp arbetssamhället används som kritisk utgångspunkt för att belysa och synliggöra arbetets problemfyllda och ologiska uppenbarelse som arbetet kan medföra. Arbetssamhället som begrepp syftar lite förenklat på det samhälle där lönearbete blir ett självändamål, det samhälle där det är viktigare att du arbetar än vad du arbetar med, eller ens om arbetet fyller någon som helst funktion. Arbetssamhället kompletteras med Herbert Marcuses endimensionella paradigm som synliggörs en idémässig begränsning hos människor, en svårighet att kritiskt ifrågasätta tillvaron på strukturell nivå. Resultatanalysen visar att upplevelsen av tidsbrist och ömsesidig flexibilitet mellan förskolan, familjen och arbetet skapar problem i vardagen. Vilket ofta ger upphov till en känsla av stress, oro och olust. Många av föräldrarna gav också uttryck för överliggande känsla av otillräcklighet trots att de försökte följa normerna och omgivningens krav. Även om föräldrarna gjorde allt rätt infann sig många gånger en känsla av fel / It is common for children to spend their days in preschool while their parents are at work. Children's time spent in preschool is generally in proportion to the parent's working hours. Preschool is a place for education and socialization, and labour an opportunity for self-realization. The labour´s position, purpose, the time it takes and the norms that surrounds it create a complex and often contradictory existence where conflicts of loyalty and ethical dilemmas easily can arise. The thesis is based on a semi-structured qualitative interview with a phenomenological approach and examines how parents with children in preschool experience their situation based on the demands placed on them from their occupation, the preschool, and the desire to do what is best for their child. The three perspectives; preschool, children, and norm of labour runs through the essay and are evaluated at the end, under the results analysis and discussion. The purpose is to better understand labour, and its position based on the parents' experiences; how labour and preschool affects the parents. Roland Paulsen's concept of the “labour-society” is used as a critical starting point to illuminate and make the problems related to labour visible and the illogical revelation that the labour can entail. The labour-society simplified a bit, refers to the society where labour becomes an end in itself. A society where it is more important that you work than what you work with, or even if the work itself fulfils any function or purpose. Labour-society is supplemented with Herbert Marcuse´s one-dimensional paradigm, which reveals an ideational limitation in humans, a difficulty to critically questioning one’s existence at the structural level. The results analysis shows that a feeling of lack of time and mutual flexibility between preschool, family and work creates problem in everyday life. Which often gives rise to a feeling of stress, anxiety and discomfort. Many of the parents also expressed an overriding feeling of inadequacy despite trying to follow the norms and requirements of the surroundings. Even if the parents did everything right, there was often a sense of guilt.

Diese Arbeit beschäftigt sich mit der Entwicklung und Implementierung eines Algorithmus zur Berechnung des diffusiven elektronischen Transportes durch Kohlenstoffnanoröhrchen-Feldeffekttransistoren (CNTFETs) unter Verwendung des Drift-Diffusions-Modells. Als Grundlage dient ein bekannter, eindimensionaler Algorithmus für klassische Halbleiter, durch welchen das elektrostatische Potential im stationären Zustand berechnet werden kann. Dieser Algorithmus wird erweitert, um die geometrischen und physikalischen Besonderheiten von CNTFETs, insbesondere die Quasi-Eindimensionalität, zu berücksichtigen. Wichtige Kenngrößen des CNTFETs werden berechnet und deren Abhängigkeit von den Bauteilparametern wird untersucht.:1. Einleitung 2. Theoretische Betrachtungen 2.1. Kohlenstoffnanoröhrchen 2.1.1. Graphen als Baustein für CNTs 2.1.2. Eigenschaften von CNTs 2.2. Drift-Diffusions-Modell 2.2.1. Drift-Diffusions-Gleichungen 2.2.2. Kontinuitätsgleichungen 2.2.3. Poisson-Gleichung 3. Implementierung 3.1. Modell für klassische Halbleiter 3.1.1. Herleitung der dimensionslosen Bewegungsgleichungen 3.1.2. Umformung der Drift-Diffusions-Gleichungen 3.1.3. Iterative Lösung des Gleichungssystems 3.2. Anwendung des Modells auf Kohlenstoffnanoröhrchen 3.2.1. Betrachtetes Modell 3.2.2. Separationsansatz und Poisson-Gleichung 3.2.3. Anpassung der Drift-Diffusions-Gleichungen 3.2.4. Gate-Spannung 3.2.5. Intrinsische Ladungsträgerdichte und Ladungsträgerrandbedingungen 3.2.6. Dielektrizität 3.3. Numerik 3.3.1. Berechnung der Ladungsträgerdichten 3.3.2. Lösung der Poisson-Gleichung 3.3.3. Iterative Veränderung von Parameterwerten 3.3.4. Überprüfung der Konvergenz des Gitters 4. Auswertung 4.1. Literaturmodelle 4.2. Ergebnisse 4.2.1. Potentialverlauf 4.2.2. Potentialplateau 4.2.3. Abschirmlänge 4.2.4. Stromfluss 4.2.5. Rechenzeit 5. Zusammenfassung Anhang A. Herleitung der Drift-Diffusions-Gleichungen aus der Boltzmann-Transportgleichung B. Herleitung der eindimensionalen Poisson-Gleichung aus dem Separationsansatz

In this thesis we used ESR to investigate magnetic properties of low D vandium and copper oxides in which small quantum spins are arranged in 1D chains and 2D layers. The thesis covers five different low dimensional spin systems. They turned out to be experimental reliazation of some of the most intersiting theoritical models in the field of quantum magnetism.

Fundamental conservation laws predict a dissipationless transport behavior in one-dimensional S=1/2 spin chains. This truly ballistic heat transport suggests anomalously large life times and mean free paths of the elementary excitations of the spin chain, spinons. Despite this rigorous prediction, in any real system, the transport is dissipative, due to the interaction of spinons with defects and phonons. Nevertheless, a promising large magnetic thermal conductivity \\kappa_{mag} has been observed in a few copper-oxide systems. Characteristic for these cuprate systems is a large exchange interaction J along the spin chain. However, due to the limited number and knowledge of the systems showing a large \\kappa_{mag}, it has been difficult, to identify overarching trends. The goal of this thesis therefore is twofold. First, to test new compounds for the appearance of magnetic heat transport and second, to broaden the understanding of the known compounds by studying the influence of various kinds of impurities. In particular, three families of materials are studied. First, the thermal conductivity \\kappa(T) of the compounds TiOBr and TiOCl is investigated. Below room temperature the compounds undergo two phase transitions T_{c2} and T_{c1}. Above T_{c2} the compounds contain S=1/2 spin chains with J_{Cl}=676 K and J_{Br}=375 K respectively, formed by direct orbital overlap of the Ti-atoms. Below T_{c1} the chains dimerize to form a non-magnetic ground state. The thermal conductivity exhibits pronounced anomalies at T_{c2} and T_{c1} confirming the transitions being of second and first order respectively. Surprisingly, \\kappa(T) appears to be dominated by phonon heat conduction, since no indications of a significant magnetic contribution is found. This is in contrast to the expectation of a spin chain system. In this context possible scenarios to understand the unusual behavior of the thermal conductivity are discussed. Second, two related materials, the single chain Sr_{2}CuO_{3} and the double chain SrCuO_{2} are investigated. In high purity samples huge magnetic heat conductivities and concomitantly, extremely large spinon mean free paths of >0.5 µm for Sr_{2}CuO_{3} and >1 µm for SrCuO_{2} are observed. This demonstrates that \\kappa_{mag} is only limited by extrinsic scattering processes, which is a clear signature of ballistic transport in the underlying spin model. Additionally, various subtle modifications of the spin chain are studied. Due to the large mean free path a pristine picture of the intrinsic incidents is expected. In particular, a chemical pressure is applied to the spin chain by doping SrCuO_{2} with Ca. This has a surprisingly strong effect on \\kappa_{mag}. Furthermore, the influence of magnetic Ni and non-magnetic Mg doping is studied for SrCuO_{2}. While Ni-doping has a large impact on the magnetic thermal conductivity, Mg-doping shows no influence. In order to clarify this surprising behavior, \\kappa_{mag} is compared to measurements of the single chain compound Sr_{2}CuO_{3}. Third, the magnetic thermal conductivity of the spin chain material CaCu_{2}O_{3} doped with non-magnetic Zn impurities is studied. \\kappa_{mag} of the pure compound is linear up to room temperature, which is indicative of a T-independent scattering rate of the magnetic excitations. Both, magnitude and T-dependence of \\kappa_{mag} exhibit a very unusual doping dependence. At moderate Zn-doping the linear temperature dependence of \\kappa_{mag} is preserved and the absolute value of \\kappa_{mag} increases. A slight suppression of \\kappa_{mag} occurs only at high Zn doping, where, surprisingly, the T-dependence of \\kappa_{mag} changes from linearity to one with a higher power of T . In order to clarify this surprising behavior, the results are compared to a detailed study of the g-tensor of the impurities in the material by means of ESR experiments, which reveal a change of the impurity type with increasing Zn-content.

This experimental work focusses on the magnetic thermal conductivity, κ_mag, of the one-dimensional two-leg spin ladder system Sr_14Cu_24O_41 and the spin chain system SrCuO_2. These two S = 1/2 antiferromagnetic Heisenberg compounds possess enormous magnetic contributions to the heat transport which in some cases exceed the phonon contributions by more than one order of magnitude. Despite of intense ongoing experimental and theoretical investigations, the underlying mechanism of the magnetic heat transport remains unclear. The study of κ_mag aims a better understanding of the basic physics which determine mobility, scattering and dissipation of the dispersing magnetic excitations. The most important tool used in this study is to selectively influence the structure and the electronic and magnetic properties of the compounds through doping. For this purpose single crystalline samples were produced using the Traveling Solvent Floating Zone technique, a crucible-free technology, which allows the growth of centimeter sized single crystals of high quality. In particular, the successful growth of large quantities of the hole-free ladders La_4Sr_10Cu_24O_41 allowed the realization of inelastic neutron scattering and, for the first time, the acquisition of the complete magnetic excitation spectrum of the spin ladder, composed not only by the triplon band, but also by the two-triplon continuum, permitting an accurate determination of the coupling constants in this system. The importance of the cyclic-exchange, previously unclear, was asserted. In order to study the scattering mechanisms of the magnetic excitations (triplons) off static defects in the two-leg ladder Sr_14Cu_24O_41, this compound was doped with tiny amounts of Zn. Occupying the Cu site in the ladders, the Zn plays the role of a non-magnetic defect, imposing an upper limit to the mean free path of the triplons. The thermal conductivity of Sr_14Cu_(14−z)Zn_zO_41, with z = 0, 0.125, 0.25, 0.5 and 0.75, shows a strong decrease of both the phononic and magnetic contributions with increasing z value. In particular, the decrease of the magnetic part indicates an increased scattering of the triplons off Zn defects. The analysis of κ_mag, using a kinetic model, allows the extraction of the triplon mean free path l_mag. This quantity was successfully correlated to the mean Zn-Zn distance along the ladders, confirming the validity of the employed kinetic model and corroborating results of previous works. In SrCuO_2, the magnetic contribution to the thermal conductivity appears as a hump-like anomaly on the high-T back of the low-T phonon peak. In order to better separate the magnetic contribution from the phononic background, small amounts of Sr were substituted by the smaller and lighter Ca, leading, on the one hand, to an increased scattering of the phonons and consequently to a suppression of the phononic thermal conductivity. On the other hand, since Ca is isovalent to Sr, no significant changes of the magnetic properties of the system are expected: a magnetic peak belonging to κ_mag should appear. Measurements of the thermal conductivity of Sr_(1−x)Ca_xCuO_2 for x = 0, 0.0125, 0.025, 0.05 and 0.1 show indeed a systematic decrease of the phonon thermal conductivity with increasing x. However, against initial expectations, no magnetic peak appears. Instead, the magnetic thermal conductivity decreases at intermediate and low temperatures with increasing doping level, indicating a strong influence of the Ca dopant on the magnetic system. Surprisingly, no changes of κ_mag occur at higher temperatures, where κ_mag remains constant for all doping levels. To explain this intriguing temperature and doping dependence of κ_mag, three scenarios are proposed. One of the scenarios is based on the phenomenon of mutual spinon and phonon heat transport, the so called spin-phonon-drag mechanism. Another scenario assumes an effective scattering of spinons off Ca defects. In a third scenario, the appearance of a gap in the doped compounds is considered. The obvious effect of the Ca dopant on the magnetic thermal conductivity motivated a more detailed investigation of the doping dependence of electronic and magnetic properties in Sr_(1−x)Ca_xCuO_2. NMR data reveal the presence of a magnetic gap for the x = 0.1 compound. The doping dependent evolution of the specific heat at low-T is consistent with this result. Furthermore, susceptibility data may be explained within a segmentation of the spin chains, which in turn can be also related to the opening of a gap. These results strongly support that the reduction of κ_mag in the Ca doped compounds is related to a smaller number of magnetic excitations participating in the heat transport due to the presence of the gap. A possible reduction of the chain length, as suggested by the susceptibility data, is also consistent with the scenario of a reduced κ_mag due to an increased scattering of magnetic excitations. In spite of these partially consistent results, there are still no clear-cut explanations for the evolution of κ_mag upon doping. In particular, it cannot be completely ruled out that a fraction of the Ca dopant goes into the chains, a point which has to be urgently clarified in order to allow a correct interpretation of the data.

The Kano method1 was used in order to determine the benchmark requirements of an educational web portal. A comprehensive list of possible specifications for an educational portal was constructed by examining the characteristics of educational portals globally. This information was used to develop a questionnaire in accordance with the Kano method. A number of hand-picked expert users were asked to answer the questionnaire. The results obtained from these questionnaires were used to categorize the importance of each component of a web portal as a “one-dimensional”2 , “must-be”3 or “attractive”4 requirement. The components categorized as “must-be” requirements were used to generate the benchmark of the minimum specifications of an educational web portal. Copyright / Dissertation (MEd)--University of Pretoria, 2008. / Curriculum Studies / MEd / Unrestricted