The thesis deals with the creation for a numerical model of a solar collector with a phase change material as a heat storage medium. The model was implemented in Python. Using the created model, design optimization of several problems was carried out with the use of selected methods of heuristic optimization. The results of the behaviour of the created model and of design optimization were then analysed and evaluated.

This paper reports a numerical approach for modelling the thermal behavior and heat accumulation/liberation of sustainable cementitious composites made with Recycled Brick Aggregates (RBAs) employed as carriers for Phase-Change Materials (PCMs). In the framework of the further development of the fixed grid modelling method, classically employed for solving the well-known Stefan problem, an enthalpy-based approach and an apparent calorific capacity method have been proposed and validated. More specifically, the results of an experimental program, following an advanced incorporation and immobilization technique, developed at the Institut für Werkstoffe im Bauwesen for investigating the thermal responses of various combinations of PCM-RBAs, have been considered as the benchmark to calibrate/validate the numerical results. Promising numerical results have been obtained, and temperature simulations showed good agreement with the experimental data of the analyzed mixtures.

Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-11-07T12:20:00Z No. of bitstreams: 1 gessicalacerdasiqueira.pdf: 2914379 bytes, checksum: 13b701ceac7f6562db4c0a3167e60c32 (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-11-09T14:37:17Z (GMT) No. of bitstreams: 1 gessicalacerdasiqueira.pdf: 2914379 bytes, checksum: 13b701ceac7f6562db4c0a3167e60c32 (MD5) / Made available in DSpace on 2017-11-09T14:37:17Z (GMT). No. of bitstreams: 1 gessicalacerdasiqueira.pdf: 2914379 bytes, checksum: 13b701ceac7f6562db4c0a3167e60c32 (MD5) Previous issue date: 2017-07-13 / Processos de transferência de calor com mudança de fase são de interesse em várias áreas da ciência, engenharia e aplicações industriais. Em processos de solidificação, por exemplo, a ocorrência de trincas e formações de vazios causados por uma redução na capacidade de resistir a esforços mecânicos geralmente são observados, e é de grande importância prever esses comportamentos para que possam ser evitados. Uma das formas de se estudar esses fenômenos e suas aplicações é através do uso de modelos matemáticos que possibilitam, através do uso de métodos de discretização temporal e espacial a realização de simulações computacionais. Dessa forma, este trabalho estudou e comparou diferentes formulações numéricas do método dos elementos finitos para problemas de transferência de calor com mudança de fase levando em consideração a condução como mecanismo de transferência de calor. Na metodologia usada, os processos de solidificação ou fusão foram tratados por meio de métodos baseados em malhas fixas. Diversos experimentos numéricos foram realizados para se analisar a adequabilidade dos métodos estudados e propostos neste trabalho e os resultados obtidos foram satisfatórios. / Heat transfer processes with phase change are of great interest in several areas of science, engineering and industrial applications. In some of these applications, such as in solidification processes, the occurrence of cracks and void formation caused by a reduction in the ability of the material to resist mechanical loadings are generally observed, and it is of great importance to predict these behaviors so that they can be circumvented. One of the ways to study these phenomena and their applications is through the use of mathematical models and executing of computer simulations. Thus, this work studied and compared different numerical formulations of the finite element method for the heat transfer problems with phase change considering only conduction as the main mechanism of heat transfer. In the methodology used, the solidification or melting processes were treated by means of numerical methods based on fixed meshs. Several numerical experiments were performed to analyze the suitability of the methods studied and proposed in this work and the results were satisfactory.

Cílem diplomové práce je vytvoření 2D numerického modelu pohybujícího se řezu s proměnnými okrajovými podmínkami skutečné geometrie plynulého odlévání a chlazení předlitku v prostředí MATLAB. Model se zabývá vysoce nelineárními termofyzikálními podmínkami oceli během tuhnutí a chlazení. V práci je simulovaná nejen nelinearita termofyzikálních podmínek, ale také nelinearita při fázové změně. Fázová změna je modelovaná pomocí metody entalpie, metody zdánlivé kapacity a metody teplotního zotavení. Všechny výsledky práce jsou porovnány z více hledisek, jako např. z hlediska přesnosti, rychlosti výpočtu, nebo vhodnosti časového diskretizačního kroku pro nelineární problémy, a paralelizace.