Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2015-01-14T13:36:25Z No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Dissertação - Marília Gomes Negri - 2014.pdf: 4966490 bytes, checksum: 2bf5278c0fe3b2a2ede7195a75c3584e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-01-14T14:12:43Z (GMT) No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Dissertação - Marília Gomes Negri - 2014.pdf: 4966490 bytes, checksum: 2bf5278c0fe3b2a2ede7195a75c3584e (MD5) / Made available in DSpace on 2015-01-14T14:12:43Z (GMT). No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Dissertação - Marília Gomes Negri - 2014.pdf: 4966490 bytes, checksum: 2bf5278c0fe3b2a2ede7195a75c3584e (MD5) Previous issue date: 2014-08-01 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This work was developed with the aim of studying fractals with their characteristics - self - similarity, in nite complexity and fractional dimension . In this sense , we study some geometric fractals whose approaches can be built on paper , and other fractals which the complexity of formation can only be represented and generated by means of computational resource. Thus, for the realization fo this work was done a literature research of this subject complemented with the calculation data only indicated in his references . We also cited some examples of applications of fractal geometry giving up deepening the theme would require the scope of scienti c research , but on the other hand have the merit of fractal geometry as a tool to analyse the world in which we live. We can see in this work the importance of fractal geometry , that is a geometry of complex structures with unique properties and linked to forms of nature that di ers in several aspects from traditional geometry. / Este trabalho foi desenvolvido com o objetivo de estudar os fractais com suas caracter ísticas - auto-semelhança, complexidade in nita e dimensão fracionada. Nesse sentido, estudamos alguns fractais geométricos cujas aproximações podem ser construídas em papel, e outros fractais nos quais sua complexidade de formação só pode ser representada e gerada por meio de recurso computacionais. Dessa forma, para realização deste trabalho foi feito um levantamento bibliográ co deste assunto complementado com o cálculo de dados apenas indicados em suas referências. Procuramos também, citar alguns exemplos de aplicações da geometria fractal abrindo mão do aprofundamento que o tema exigiria no escopo de uma pesquisa cientí ca, mas que por outro lado apresentam o mérito de colocar a geometria fractal como uma ferramenta para analisar o mundo onde vivemos. Podemos constatar no decorrer deste trabalho a importância da Geometria Fractal, ou seja, uma geometria de estruturas complexas, com propriedades exclusivas e ligada às formas da natureza e que diferencia em vários aspectos da geometria tradicional.

Practical combustion devices such as gas turbines and diesel engines operate at high pressures to increase their efficiency. Pressure significantly increases the overall soot yield. Morphology of these ultra-fine particles determines their airborne lifetime and their interaction with the human respiratory system. Therefore, investigating soot morphology at high pressure is of practical relevance. In this work, a novel experimental setup has been designed and built to study the soot morphology at elevated pressures. The experimental setup consists of a pressure vessel, which can provide optical access from 10° to 165° for multi-angle light scattering, and a counterflow burner which produces laminar flames at elevated pressures. In the first part of the study, N2-diluted ethylene/air and ethane air counterflow flames are stabilized from 2 to 5 atm. Two-angle light scattering and extinction technique have been used to study the effects of pressure on soot parameters. Path averaged soot volume fraction is found to be very sensitive to pressure and increased significantly from 2 to 5 atm. Primary particle size and aggregate size also increased with pressure. Multi-angle light scattering is also performed and flames are investigated from 3 to 5 atm. Scattering to absorption ratio is calculated from multi-angle light scattering and extinction data. Scattering to absorption ratio increased with pressure whereas the number of primary particles in an aggregate decreased with increasing pressure. In the next part of the study, Thermophoretic Sampling of soot is performed, in counterflow flames from 3 to 10 atm, followed by transmission electron microscopy. Mean primary particle size increased with pressure and these trends are consistent withour light scattering measurements. Fractal properties of soot aggregates are found to be insensitive to pressure. 2D diffused light line of sight attenuation (LOSA) and Laser Induced Incandescence (LII) are used to measure local soot volume fraction from 2 to 10 atm. Local soot volume fraction increased with pressure and soot concentration profiles showed good agreements when measured by both techniques. Experimental data obtained in this work is very helpful for the modelers for validating their codes and predicting the soot formation in pressurized flames.

Les grands incendies de forêts sont responsables de la quasi-totalité de la surface brulée et contribuent, par les émissions de particules et de gaz à effet de serre qu’ils génèrent, au réchauffement climatique. Des observations satellitaires ont mis en évidence un comportement fractal que l’on attribue aux hétérogénéités locales (topographie, végétation, conditions météorologiques) rencontrées par ces feux lors de leur propagation. Le présent travail a été consacré au développement et à la validation d’un modèle hybride de propagation d’incendie, capable de reproduire ce comportement. Ce modèle est une extension du modèle original de réseau de « petit monde » où les phénomènes qui se produisent à l’échelle macroscopique, comme le rayonnement du front de flammes et l’inflammation pilotée de la strate végétale sont traités de façon déterministe. Pour décrire le rayonnement, nous avons utilisé un modèle de flamme solide couplé à une méthode de Monte Carlo. La validation a porté sur des configurations simples, mais aussi plus complexes, comme le rayonnement d’un front hétérogène de flammes ou celui d’une flamme d’éthanol. Un modèle d’inflammation a ensuite été élaboré et appliqué à des litières d’aiguilles de pin. Les paramètres du modèle ont été optimisés par un algorithme génétique, conduisant au meilleur accord avec les résultats expérimentaux, en termes de temps d‘inflammation et de perte de masses. Il a été montré que l’oxydation du résidu charbonneux joue un rôle prépondérant sur l’inflammation à bas flux. Le modèle de propagation de petit monde a été validé sur un brûlage dirigé et sur un feu historique, montrant un bon accord en termes de surface brûlée, de vitesse de propagation, de contours de feu, et de propriétés fractales. On a montré qu’il pouvait être utilisé pour le dimensionnement d’ouvrages de défense, comme les coupures de combustible, ou pour expliquer le comportement atypique du feu dans certaines situations (talweg, ruptures de pente, etc.). Son application a également permis d’optimiser le nombre et l’emplacement d’un réseau de capteurs déployés dans la végétation dans le but de localiser précisément et détecter précocement le départ d’un feu. / Most of the area burned by forest fires is attributable to the few fires that escape initial attack to become large. As a consequence large-scale fires produce a large amount of green-house gases and particles which contribute to the global warming. Heterogeneous conditions of weather, fuel, and topography are generally encountered during the propagation of large fires. This shapes irregular contours and fractal post-fire patterns, as revealed by satellite maps. Among existing wildfire spread models, stochastic models seem to be good candidates for studying the erratic behavior of large fires, due to the above-mentioned heterogeneous conditions. The model we developed is a variant of the so-called small-world network model. Flame radiation and fuel piloted ignition are taken into account in a deterministic way at the macroscopic scale. The radiative interaction domain of a burning cell is determined from Monte Carlo simulation using the solid flame model. Some cases are studied, ranging from relatively simple to more complex geometries like an irregular flame fronts or an ethanol pool fire. Then, a numerical model is developed to investigate the piloted ignition of litters composed of maritime pine needles. A genetic algorithm is used to locate a set of model parameters that provide optimal agreement between the model predictions and the experimental data in terms of ignition time and mass loss. The model results had shown the importance of char surface oxidation for heat fluxes close to the critical flux for ignition. Finally, the small-world network model was used to simulate fire patterns in heterogeneous landscapes. Model validation was achieved to an acceptable degree in terms of contours, burned area and fractal properties, through comparison of results with data from a small controlled bushfire experiment and a historical Mediterranean fire. Therefore, it has been proven to be a powerful tool in the sizing of fortifications as fuel break areas at the wildland urban interface or in the understanding of atypical behavior in particular configurations (talweg, slope breaking, etc.). It has also been used for the optimization of an in-situ sensor network whose purpose is to detect precociously and to locate precisely small fires, preventing them from spreading and burning out of control. Our objective was to determine the minimum number and placement of sensors deployed in the forest.