The research field of graded ring theory is a rich area of mathematics with many connections to e.g. the field of operator algebras. In the last 15 years, algebraists and operator algebraists have defined algebraic analogues of important operator algebras. Some of those analogues are rings that come equipped with a group grading. We want to reach a better understanding of the graded structure of those analogue rings. Among group graded rings, the strongly graded rings stand out as being especially well-behaved. The development of the general theory of strongly graded rings was initiated by Dade in the 1980s and since then numerous structural results have been established for strongly graded rings.  In this thesis, we study the class of epsilon-strongly graded rings which was recently introduced by Nystedt, Öinert and Pinedo. This class is a natural generalization of the well-studied class of unital strongly graded rings. Our aim is to lay the foundation for a general theory of epsilon-strongly graded rings generalizing the theory of strongly graded rings. This thesis is based on three articles. The first two articles mainly concern structural properties of epsilon-strongly graded rings. In the first article, we investigate a functorial construction called the induced quotient group grading. In the second article, using results from the first article, we generalize the Hilbert Basis Theorem for strongly graded rings to epsilon-strongly graded rings and apply it to Leavitt path algebras.  In the third article, we study the graded structure of algebraic Cuntz-Pimsner rings. In particular, we obtain a partial classification of unital strongly, epsilon-strongly and nearly epsilon-strongly graded Cuntz-Pimsner rings up to graded isomorphism.

Este trabalho tem como finalidade obter condições de recuperar e purificar a pró-toxina épsilon e uma protease produzida pelo Clostridium perfringens através do uso da técnica de extração líquido-líquido em sistema de duas fases aquosas (SDFA) para utilização na produção de vacinas. A aplicação do sistema de duas fases aquosas é proposta como alternativa para a purificação, pois permite a separação e análise de partículas biológicas. Esta técnica é aconselhável para purificação em larga escala pela possibilidade de partição seletiva com altos rendimentos, além de apresentar uma boa relação custo-benefício. Foram construídas as curvas binodais que foram utilizadas para análise da composição dos sistemas de duas fases aquosas formados por polietileno glicol e citrato de sódio, como também a extração e recuperação da pró-toxina épsilon e da protease produzidas por Clostridium perfringens. As curvas binodais foram construídas utilizando PEG 400, 550, 1000, 1500, 3350 e 8000 em diferentes valores de pH (6,0; 6,5; 7,0; 7,5 e 8,0) e água para formação do sistema. Também foram construídas curvas na presença de caldo clarificado em substituição à água. Foi avaliada ainda a estabilidade da pró-toxina épsilon, antes da extração, e da protease antes e após a extração, frente às variações de pH e temperatura. Um planejamento experimental ('2pot.8-3') foi usado para avaliar a influência das variáveis concentração e massa molar do PEG, concentração de citrato, pH, concentração de NaCl, fator de diluição do extrato, temperatura e massa total do sistema na extração da pró-toxina épsilon. A partição de uma protease presente no meio fermentado de C. perfringens foi estudada através do uso de três planejamentos experimentais completos (dois do tipo '2pot.4' e um do tipo '2pot.3') que avaliaram a influência das variáveis concentração e massa molar do PEG, concentração de citrato e pH. Três variáveis-resposta foram obtidas (aumento de pureza, coeficiente de partição e recuperação da enzima). Os resultados atingidos foram: coeficiente de partição de 0,57, aumento de pureza de 4,2 com uma recuperação de 131% da atividade enzimática na fase superior do sistema. O sistema de extração que proporcionou as melhores condições de extração foi constituído por: PEG 10000 (g/mol) e concentração de 22% (m/m), concentração de citrato de 8% (m/m) e pH 8,5. A protease permaneceu estável (durante 48 h), mesmo após a extração, nas temperaturas de 5°C e 25°C e nos valores de pH de 6,0 a 9,0. / The purpose of this work is to obtain best conditions of recovery and purification of proteins (epsilon prototoxin and a protease) produced by Clostridium perfringens through the use of the liquid-liquid extraction by aqueous two-phases systems (ATPS). The application of these systems is proposed as alternative for protein purification, because it allows the separation and analysis of biological particles. This technique is advisable process purification applied to large scale since it provides a selective partition with high yields, and good cost-benefit ratio. The binodal curves were constructed and used to determine the system composition based on polyethylene glicol and citrate concentrations. The binodal curves were built by using PEG 400, 550, 1000, 1500, 3350 and 8000 g/mol at different pH values (6.0; 6.5; 7.0; 7.5 and 8.0). The curves were, initially, built in the presence of water and, later, with clarified fermented broth. The differences in the curve profiles (water versus broth) helped to explain the phase separation behaviour. The stability, as a function of pH and temperature, of the epsilon prototoxin was evaluated before the extraction, while the stability of the protease was evaluated before and after the extraction. An experimental design ('2pot.8-3') was used to evaluate the influence of the following variables on epsilon prototoxin extraction: concentration and molar mass of PEG, citrate concentration and NaCl concentrations, pH, dilution factor of the extract, temperature and total mass of the system. However, the partition of the protease was studied through the use of the three full different experimental designs (two of the type '2pot.4', and one of the type '2pot.3') that evaluated the influence of the following variables: concentration and molar mass of PEG, citrate concentration and pH. Three parameter responses were obtained: purification factor; coefficient partition; and recovery yield of the enzyme. The results were satisfactory: partition coefficient = 0.57, purification factor = 4.2; yield = 131%. The extraction conditions which provided the best results were: molar mass of PEG 10000 (g/mol); concentration of PEG of 22% (w/w); concentration of citrate of 8% (w/w); and pH 8.5. The protease was stable (during 48h), even after the extraction, in the temperatures of 5°C and 25°C, and at pH values of from 6.0 to 9.0.

As bombas ejetoras são dispositivos apropriados para aspirar e bombear um fluido que pode ser líquido, gás ou vapor ou uma mistura bifásica. Tais dispositivos são caracterizados pela troca da energia cinética de uma corrente de fluido primária com a uma corrente de fluido secundária em uma câmara de mistura. Devido à simplicidade na estrutura, na ausência de partes móveis e na conveniência da manutenção, bombas ejetoras têm sido usadas extensivamente em muitos campos da Engenharia para várias finalidades. Bombas ejetoras são usadas principalmente em atividades como: bombeamento ou sucção de fluidos, dragas, bombeamento de produtos químicos, transporte de partículas sólidas grandes ou até mesmos produtos alimentícios. Uma bomba ejetora é geometricamente simples consistindo de 4 componentes principais: um bocal, câmara de sucção, garganta misturadora e difusor. Nesta dissertação, a ferramenta de Dinâmica dos Fluidos Computacional (DFC) foi utilizada para calcular o escoamento tridimensional no interior de uma bomba ejetora com dados geométricos e de desempenho disponíveis na literatura com o objetivo principal de avaliar a qualidade dos resultados obtidos. Para tanto as equações de conservação da massa, 2 Lei de Newton, conservação de energia e para o modelo de turbulência k- foram resolvidas utilizando o método de volumes finitos com um algoritmo segregado para o acoplamento dos campos de velocidade e pressão. Para obtenção da solução foi utilizado o código comercial Fluent versão 6.3.17. Os resultados numéricos obtidos para eficiência da bomba ejetora foram comparados com resultados experimentais e com os de uma formulação unidimensional onde os coeficientes de perda por atrito foram medidos experimentalmente nas seções da bomba ejetora ensaiada experimentalmente e simulada numericamente. Os resultados apresentaram boa concordância em toda a faixa disponível de resultados experimentais. A ferramenta de CFD também permitiu analisar os campos de velocidade e a distribuição de pressão nos componentes da bomba ejetora (bocal, garganta misturadora e difusor).

Simulações são realizadas utilizando a dinâmica de fluidos computacional (DFC) para prever o desempenho e características de escoamento em uma bomba ejetora anular. A simulação numérica do escoamento no interior da bomba ejetora anular é realizada utilizando o código FLUENT 6.3.26. No presente estudo, o método de volumes finitos é utilizado para resolver um escoamento tridimensional, em regime permanente e incompressível modelado pelas seguintes equações matemáticas: continuidade, momentum e modelo de turbulência . Uma boa concordância foi obtida na comparação entre os resultados numéricos e experimentais disponíveis. Então, os resultados numéricos são utilizados para analisar as seguintes dependências: razão de altura manométrica versus razão de vazão volumétrica e a eficiência global versus razão de vazão volumétrica. Os perfis de velocidade e pressão estática também são usados para estudar o processo de mistura entre as duas correntes na câmara de mistura da bomba ejetora. A boa concordância com os resultados experimentais e a compreensão do escoamento de água obtidos nesta análise numérica mostram que uma abordagem adequada do DFC pode ser utilizada para melhorar o desempenho da bomba ejetora.

O Clostridium perfringens é um microrganismo anaeróbio que está presente no solo e no trato intestinal dos mamíferos. Provoca intoxicação alimentar nos seres humanos, doenças enterotoxêmicas nos animais domésticos e gangrena gasosa em ambos os grupos. O C. perfringens é classificado em cinco tipos (A, B, C, D e E) mediante a produção de quatro toxinas principais (alfa, beta, épsilon e iota). Neste trabalho foi possível padronizar a técnica de PCR para detectar a presença dos genes cpa, cpb e etx a partir de culturas de C. perfringens. A sensibilidade analítica da técnica de PCR a partir de culturas de C. perfringens foi de 2,27 ng/µL para o gene cpa, 22,7 pg/µL para o gene cpb e 22,7 pg/µL para o gene etx. A pesquisa dos genes cpa, cpb e etx partir de 35 amostras de C. perfringens isoladas de bovinos revelou que 16 (45,7%) eram do tipo A; 18 (51,4%) eram do tipo C e 1 (2,9%) era do tipo B. Não foi observada nenhuma amostra do tipo D. A metodologia de PCR revelou-se útil na tipificação de amostras de C. perfringens isoladas de bovinos, contribuindo para o diagnóstico dessa bacteriose neste país, eliminando as dificuldades de tipificação oriundas do alto custo e da indisponibilidade de anti-soros para a tipificação pela reação de soroneutralização e evitando a utilização de animais de laboratório. / Clostridium perfringens is an anaerobic micro-organism that is present in the soil and gastrointestinal tract of mammals. It causes food poisoning in humans, enterotoxemic diseases in domestic animals and gas gangrene in both. C. perfringens is classified into five types (A, B, C, D and E) according to the production of four major toxins (alpha, beta, epsilon and iota). In this trial was possible to standardize the PCR?s technique to detect cpa, cpb and etx genes from cultures of C. perfringens. PCR?s analythical sensibility was 2.27 ng/µL for cpa gene, 22.7 pg/µL for cpb gene and 22.7 pg/µL for etx gene. The research of cpa, cpb and etx genes from 35 samples of C. perfringens isolated from cattle reveals that 16 (45.7%) were classified as type A, 18 (51.4%) as type C and 1 (2.9%) as type B. No sample of type D was observed. PCR?s technique reveals to be usefull to typify samples of C. perfringens isolated from cattle, contributing to diagnose of this bacterial disease in this country and solving typifing problems represented by the high costs of the process and by the lack of antiserum that is required to typify the micro-organism by seroneutralization. PCR?s technique avoid the use of laboratory animals, too.

The processes leading to the retention of small quantities of austenite following the bainite and martensite phase transformations have been examined, together with the influence of retained austenite on the properties of low alloy steels. It was found that the upper and lower bainite transformations are separate reactions, although both involve a displacive transformation mode, Growth seems to occur by the repeated nucleation of martensitic sub-units, and this leads to an apparently slow growth rate, The partitioning of carbon from bainitic ferrite into residual austenite was thermodynamically proven to occur subsequent to transformation, and was shown to be directly responsible for the 'incomplete reaction phenomenon'. The nature of sympathetic nucleation and of the limited size of bainitic sub-units was rationalised in terms of the relatively low driving force available for bainite transformations. It was shown that the retention, stability and morphology of austenite could be directly derived from the basic transformation mechanism. Under certain circumstances, the bainitic retained austenite conferred exceptional strength/toughness properties to silicon steels; these were· shown to be superior to the properties associated with tempered martensite microstructures, Using thermodynamics, a model was established which could predict the toughness behaviour of silicon steel bainites simply from a knowledge of the composition. The tempered martensite embrittlement phenomenon was not found to be directly linked to the decomposition of retained austenite films, but to the coarsening of inter- or intra-lath carbides. In dislocated martensites, it was found that the distribution and quantity of retained austenite could be rationalised in terms of the degree of accommodation between adjacent martensite variants. The incipient twins generally observed in lath martensites were shown to be accommodation defects such that the extent of twinning was the greatest when adjacent martensite units had twin-related lattices. The thermodynamics of dislocated martensites have been briefly examined, The inhomogeneous deformation behaviour of dual-phase steels has been analysed in terms of available models.

Die vorliegende Arbeit beschäftigt sich mit dem Problem der zufälligen Wärmeausbreitung in beschränkten Gebieten. Dieses Phänomen wird dabei durch eine lineare parabolische Randanfangswertaufabe beschrieben, wobei die Anfangsbedingung und die Neumannrandbedingung als zufällige Felder mit gegebener Wahrscheinlichkeitsverteilung angenommen werden. Des Weiteren werden die zufälligen Felder als homogen und epsilon-korreliert mit einer kleinen Korrelationslänge epsilon > 0 vorausgesetzt und sollen glatte Realisierungen besitzen. Zur Lösung der Randanfangswertaufgabe werden sowohl die klassische Formulierung als auch die Variationsformulierung herangezogen und in diesem Zusammenhang die Fourier Methode sowie die Finite-Elemente Methode betrachtet. Die Finite-Elemente Methode und die Fourier-Methode führen auf einen expliziten funktionalen Zusammenhang zwischen der zufälligen Lösung der betrachteten Randanfangswertaufgabe und den Einflussgrößen, so dass Momentenfunktionen davon abgeleitet werden können. Das Hauptinteresse dieser Arbeit liegt auf der Berechnung dieser Momentenfunktionen, welche durch die gewählten Eigenschaften der stochastischen Einflußgrößen bestimmt werden. Basierend auf dem Finite-Elemente Ansatz bzw. dem Fourier Ansatz werden verschiedene Approximationsmöglichkeiten insbesondere für die Korrelationsfunktion erörtert. Des Weiteren wird die Möglichkeit der Simulation des zufälligen Randanfangswertproblems betrachtet. Hierzu wird zur Simulation der zufälligen Einflussgrößen auf die Theorie von Moving Average Feldern zurückgegriffen. Der letzte Teil der Arbeit widmet sich dem Vergleich der erhaltenen analytischen Resultate anhand konkreter numerischer Beispiele.

Des ligands diketimines porteurs de substituants N-benzyl, N-9-anthrylmethyl et N-mesitylmethyl (nacnacBnH, nacnacAnH, and nacnacMesH) ont été synthétisés par condensation d’une amine et d’acétyl acétone ou son monoacétal d’éthylène glycol. La chlorination de la position 3 a été effectuée à l’aide de N-chlorosuccinimide conduisant à la formation des ligands ClnacnacBnH et ClnacnacAnH. Cette même position 3 a également été substituée par un groupement succinimide par lithiation du nacnacBnH, suivi de la réaction avec le N-chlorosuccinimide (3-succinimido-nacnacBnH). Les ligands N-aryl nacnacippH et nacnacNaphH (ipp = 2-isopropylphenyl, Naph = 1-naphthyl) ont été préparés selon les procédures reportées dans la littérature. La réaction de ces ligands avec Zn(TMSA)2 (TMSA = N(SiMe3)2) conduit à la formation des complexes nacnacAnZn(TMSA) et ClnacnacBnZn(TMSA). La protonation avec l’isopropanol permet l’obtention des complexes nacnacAnZnOiPr et ClnacnacBnZnOiPr. La réaction avec Mg(TMSA)2 permet quant à elle la formation des complexes nacnacAnMg(TMSA), nacnacMesMg(TMSA), ClnacnacBnMg(TMSA) et ClnacnacAnMg(TMSA). La protonation subséquente à l’aide du tert-butanol permet l’obtention du nacnacMesMgOtBu et du ClnacnacBnMgOtBu, alors que l’on observe uniquement une décomposition avec les ligands possédant des substituants N-anthrylmethyl. La réaction de ces diketimines avec Cu(OiPr)2 conduit aux dimères hétéroleptiques [nacnacBnCu(μ-OiPr)]2 et [3-Cl-nacnacBnCu(μ-OiPr)]2 lors de l’usage des ligands stériquement peu encombrés. Lors de l’utilisation de ligands plus encombrés, la stabilisation du complexe hétéroleptique par dimérisation n’est plus possible, conduisant, par un échange de ligand, à la formation des complexes homoleptiques Cu(nacnacipp)2 et Cu(nacnacNaph)2. Les complexes homoleptiques Cu(nacnacBn)2 et Cu(3-succinimido-nacnacBn)2 ont été obtenus à partir des ligands N-benzyl. Les ligands encore plus encombrés tels que nacnacAnH, nacnacMesH ou ceux comportant des substituants N-methylbenzyl ne présentent alors plus de réactivité avec le Cu(OiPr)2. La plupart des complexes ont été caractérisés par Diffraction des Rayons X. Les complexes homoleptiques ainsi que ceux de TMSA sont monomériques, alors que ceux formés à partir d’alkoxides se présentent sous forme de dimères à l’état solide. Tous les complexes d’alkoxides ainsi que les nacnacAnMg(TMSA)/BnOH et ClnacnacAnMg(TMSA)/BnOH présentent une réactivité modérée à haute en matière de polymérisation du rac-lactide (90% de conversion en 30 secondes à 3 heures). Le nacnacAnZnOiPr permet la synthèse d’un polymère hautement hétérotactique (Pr = 0.90) quand le ClnacnacBnMgOtBu/BnOH génère un polymère isotactique à -30°C (Pr = 0.43). Tous les autres catalyseurs produisent des polymères atactiques avec une légère tendance hétérotactique (Pr = 0.48 – 0.55). Les complexes hétéroleptiques [nacnacBnCu(μ-OiPr)]2 et [3-Cl-nacnacBnCu(μ-OiPr)]2 se révèlent être de très bons catalyseurs pour la polymérisation du rac-lactide présentant une conversion complète du monomère à température ambiante, en solution, en 0,5 à 5 minutes. Le [nacnacBnCu(μ-OiPr)]2 est actif en présence ou absence d’isopropanol, agissant comme agent de transfert de chaine à haute activité (k2 = 32 M–1•s–1) dans le dichlorométhane. Dans l’acétonitrile, le THF, le dichloromethane et le toluène, [nacnacBnCu(μ-OiPr)]2 conduit à une étroite polydispersité, possédant respectivement des kobs = 2.4(1), 5.3(5), 3.6-4.4 and 10(1) min–1. Aucune réaction parasite, telle qu’une trans-esterification, une épimerisation ou une décomposition du catalyseur, n’a été observée. Les complexes homoleptiques en présence d’alcool libre semblent présenter un équilibre avec une petite quantité de leurs équivalents hétéroleptiques, permettant une polymérisation complète, en moins de 60 min, à température ambiante. Tous les catalyseurs de cuivre présentent un haut contrôle de la polymérisation avec une polydispersité égale ou inférieure à 1.1. Les polymères obtenus sont essentiellement atactiques, avec une légère tendance à l’hétérotacticité à température ambiante et -17°C. Le [nacnacBnCu(μ-OiPr)]2 polymérise également la -butyrolactone (BL), l’-caprolactone (CL) et la -valerolactone (VL) avec des constantes respectivement égales à kobs = 3.0(1)•10–2, 1.2–2.7•10–2, et 0.11(1) min–1. Les homopolymères présentent une étroite polydispersité d’approximativement 1.1. Les polymérisations par addition séquentielle ont mis en évidence une trans-estérification (non observée dans les homopolymérisations) si BL ou CL sont introduits après un bloc lactide. / Diketimine ligands bearing N-benzyl, N-9-anthrylmethyl and N-mesitylmethyl substituents (nacnacBnH, nacnacAnH, and nacnacMesH) were prepared from condensation of amine with either acetyl acetone or its ethylene glycol monoketal. Chlorination of the 3-position was achieved using N-chlorosuccinimide, yielding ClnacnacBnH and ClnacnacAnH. The 3-position was also substituted by succinimido by lithiation of nacnacBnH followed by reaction with N-chlorosuccinimide (3-succinimido-nacnacBnH). N-aryl ligands nacnacippH and nacnacNaphH (ipp = 2-isopropylphenyl, Naph = 1-naphthyl) were prepared from literature. The ligands were reacted with Zn(TMSA)2 (TMSA = N(SiMe3)2) to yield nacnacAnZn(TMSA) and ClnacnacBnZn(TMSA). Protonation with isopropanol gave nacnacAnZnOiPr and ClnacnacBnZnOiPr. Reaction of the diketimines with Mg(TMSA)2 afforded nacnacAnMg(TMSA), nacnacMesMg(TMSA), ClnacnacBnMg(TMSA) and ClnacnacAnMg(TMSA). Subsequent protonation with tert-butanol produced nacnacMesMgOtBu and ClnacnacBnMgOtBu, but only decomposition was observed with N-anthrylmethyl substituents. Reaction of the diketimines with Cu(OiPr)2 yielded the heteroleptic [nacnacBnCu(μ-OiPr)]2 and [3-Cl-nacnacBnCu(μ-OiPr)]2 when using sterically undemanding ligands. When sterically more demanding diketimines were used, stabilization of the heteroleptic complex by dimerization was not possible, resulting in the formation of the homoleptic complexes Cu(nacnacipp)2 and Cu(nacnacNaph)2 by ligand exchange. Homoleptic complexes were also prepared with N-benzyl ligands, i. e. Cu(nacnacBn)2 and Cu(3-succinimido-nacnacBn)2. Even bulkier ligands such as nacnacAnH, nacnacMesH or N-methylbenzyl substituents failed to react with Cu(OiPr)2. Most complexes were characterized by single crystal X-ray diffraction. TMSA complexes and homoleptic complexes were monomeric, alkoxide complexes were dimeric in the solid state. All alkoxide complexes, as well as nacnacAnMg(TMSA)/BnOH and ClnacnacAnMg(TMSA)/BnOH were moderately to highly active in rac-lactide polymerization (90% conversion in 30 sec to 3 h). nacnacAnZnOiPr produced highly heterotactic polymer (Pr = 0.90), ClnacnacBnMgOtBu/BnOH produced slightly isotactic polymer at –30 °C (Pr = 0.43), all other catalysts produced atactic polymers with a slight heterotactic bias (Pr = 0.48 – 0.55). Heteroleptic complexes [nacnacBnCu(μ-OiPr)]2 and [3-Cl-nacnacBnCu(μ-OiPr)]2 are very highly active rac-lactide polymerization catalysts, with complete monomer conversion at ambient temperature in solution in 0.5 – 5 min. [nacnacBnCu(μ-OiPr)]2 specifically polymerized in the presence or absence of isopropanol as a chain-transfer reagent with very high activity (k2 = 32 M–1•s–1), in methylene chloride. While in acetonitrile, THF, dichloromethane and toluene has a kobs = 2.4(1), 5.3(5), 3.6-4.4 and 10(1) min–1, respectively. [nacnacBnCu(μ-OiPr)]2 yields narrow polydispersities and no evidence of side reactions such as transesterification, epimerization or catalyst decomposition. The homoleptic complexes in the presence of free alcohol, seem to be in equilibrium with small amounts of the respective heteroleptic complex, which are sufficient to complete polymerization in less than 60 min at room temperature. All Cu catalysts show high control of polymerization with polydispersities of 1.1 and below. The obtained polymers were essentially atactic, with a slight heterotactic bias at ambient temperature and at –17 °C. [nacnacBnCu(μ-OiPr)]2 polymerizes -butyrolactone (BL), -caprolactone (CL) and -valerolactone (VL) with rate constants of kobs = 3.0(1)•10–2, 1.2–2.7•10–2, and 0.11(1) min–1, respectively. Homopolymers showed narrow polydispersities of appr. 1.1. Sequential addition polymerizations showed evidence for transesterification (not seen in homopolymerizations) if BL or CL are introduced after a lactide block.

This work has been aimed at developing a mechanistic, transient, 3-D numerical model to predict the behavior of an evaporating thin liquid film on a non-uniformly heated cylindrical rod with simultaneous parallel and cross flow of vapor. Interest in this problem has been motivated by the fact that the liquid film on a full-length boiling water reactor fuel rod may experience significant axial and azimuthal heat flux gradients and cross flow due to variations in the thermal-hydraulic conditions in surrounding subchannels caused by proximity to inserted control blade tip and/or the top of part-length fuel rods. Such heat flux gradients coupled with localized cross flow may cause the liquid film on the fuel rod surface to rupture, thereby forming a dry hot spot. These localized dryout phenomena can not be accurately predicted by traditional subchannel analysis methods in conjunction with empirical dryout correlations. To this end, a numerical model based on the Level Contour Reconstruction Method was developed. The Standard k- turbulence model is included. A cylindrical coordinate system has been used to enhance the resolution of the Level Contour Reconstruction Model. Satisfactory agreement has been achieved between the model predictions and experimental data. A model of this type is necessary to supplement current state-of-the-art BWR core thermal-hydraulic design methods based on subchannel analysis techniques coupled with empirical dry out correlations. In essence, such a model would provide the core designer with a "magnifying glass" by which the behavior of the liquid film at specific locations within the core (specific axial node on specific location within a specific bundle in the subchannel analysis model) can be closely examined. A tool of this type would allow the designer to examine the effectiveness of possible design changes and/or modified control strategies to prevent conditions leading to localized film instability and possible fuel failure.

Nanokristalle werden beispielsweise für eine Anwendung in Solarzellen, Lichtemittern und nichtflüchtigen Datenspeichern diskutiert. Damit diese Anwendungen funktionieren können, ist eine genaue Kontrolle der Kristallitgröße sowie der Flächendichte und Lage der Kristallite in der Matrix wichtig. Zudem sollte die Matrix amorph sein, da amorphe Matrixmaterialien die Nanokristall-Oberfläche besser passivieren und beständiger gegen Leckströme sind. In dieser Arbeit werden Ge-Nanokristalle in die Hoch-Epsilon-Dielektrika ZrO2 und TaZrOx eingebettet. Im System Ge/ZrO2 kristallisieren die Ge-Cluster und die ZrO2-Matrix bei der gleichen Temperatur. Aufgrund der kristallinen Matrix weicht die Form der Ge-Nanokristalle von einer Kugel ab, worunter unter anderem die Größenkontrolle leidet. Die Beimischung von Ta2O5 stabilisiert die amorphe Phase des ZrO2 und verhindert dadurch die gemeinsame Kristallisation. Dadurch wird es im System Ge/TaZrOx möglich, kugelförmige Ge-Nanokristalle im Größenbereich von 3 nm bis 6 nm positionskontrolliert in eine amorphe Matrix einzubetten. Für die Untersuchung einer möglichen Anwendung des Materialsystems wurden Speicherzellen eines nichtflüchtigen Datenspeichers auf Basis von Ge-Nanokristallen hergestellt. Dabei zeigte sich, dass das System Ge/TaZrOx überdurchschnittlich viele Ladungen speichert und daher für diese Anwendung vielversprechend ist. Zudem stabilisiert die Beimischung von Ta2O5 eine extrem seltene orthorhombische Modifikation des ZrO2. Für ferroelektrische Datenspeicher könnte diese Phase eine aussichtsreiche Alternative zum HfO2 sein.