Estudos aplicados ao processo de filtração tangencial têm sido o objetivo de muitos trabalhos devido a sua ampla capacidade de adequação aos mais diversos processos industriais. Os mecanismos de transferência associados a esse processo envolvem basicamente o escoamento em tubos permeáveis (ou membranas) com fenômenos de transferência de massa presentes junto à superfície. Esta tese de doutorado apresenta uma modelagem numérica capaz de representar o escoamento de fluidos newtonianos e não-newtonianos em tubos permeáveis aplicada ao processo de filtração tangencial, para os regimes de escoamento laminar e turbulento. No regime turbulento, utilizou-se o modelo de comprimento de mistura de Prandtl. O modelo numérico envolveu as equações de conservação da massa, da quantidade de movimento e das espécies químicas, acopladas a adequadas condições de fronteira. Em particular, por se tratar de um modelo numérico, analisou-se a discretização dos termos convectivos por meio da implementação de três esquemas: WACEB, CUBISTA e QUICKEST adaptativo. Os resultados produzidos pela implementação dos esquemas convectivos foram analisados por meio de comparações com resultados analíticos e experimentais da literatura, para regimes de escoamento laminar e turbulento. De acordo com as comparações realizadas, o esquema QUICKEST adaptativo apresentou melhor desempenho na modelagem desse escoamento. Diversas simulações numéricas geraram resultados, os quais foram comparados com expressões analíticas e dados experimentais da literatura e com dados produzidos pelo laboratório do Núcleo de Engenharia Térmica e Fluidos (NETeF) da USP São Carlos. Verificou-se, assim, que o modelo matemático produziu resultados compatíveis com o fenômeno estudado, tendo-se, portanto, uma ferramenta para descrição do problema convectivo mássico do escoamento em tubos permeáveis. / Studies applied to the crossflow filtration process have been the goal of several researches due to its large capacity for adaptation to the various industrial processes. The mechanism of transfer associated with this process basically involves fiows in permeable tubes (or membranes) with the phenomenon of mass transfer on the surface. This doctoral thesis presents a numerical modeling able to represent the fiow of Newtonian and non-Newtonian fiuids in permeable tubes applied to the process of crossflow filtration, in laminar and turbulent flow regimes. In the turbulent regime the Prandtl mixing length model was used. The numerical model involved the mass conservation, momentum conservation and mass transport equations coupled to the appropriate boundary conditions. In particular, as it is a numerical model, the discretization of convective terms was analyzed through the implementation of three schemes: WACEB, CUBISTA and adaptative QUICKEST. The results produced by the implementation of the convective schemes were analyzed through comparisons with experimental and analytical results from the literature, for laminar and turbulent flow regImes. According to the comparisons made, adaptative QUICKEST scheme showed the best performance in the modeling in this flow. Several numerical simulations generated results, which were compared with experimental data and analytical expressions of the literature and with data produced by the laboratory of the Center of Thermal Thermal and Fluids Engineering (NETeF) of the EESC- USP/São Cados. It was possible to verify, that the mathematical model produced results consistent with the phenomenon studied, and can be considered a tool for the description of the mass convective problem flow in permeavel tubes.

Estudos aplicados ao processo de filtração tangencial têm sido o objetivo de muitos trabalhos devido a sua ampla capacidade de adequação aos mais diversos processos industriais. Os mecanismos de transferência associados a esse processo envolvem basicamente o escoamento em tubos permeáveis (ou membranas) com fenômenos de transferência de massa presentes junto à superfície. Esta tese de doutorado apresenta uma modelagem numérica capaz de representar o escoamento de fluidos newtonianos e não-newtonianos em tubos permeáveis aplicada ao processo de filtração tangencial, para os regimes de escoamento laminar e turbulento. No regime turbulento, utilizou-se o modelo de comprimento de mistura de Prandtl. O modelo numérico envolveu as equações de conservação da massa, da quantidade de movimento e das espécies químicas, acopladas a adequadas condições de fronteira. Em particular, por se tratar de um modelo numérico, analisou-se a discretização dos termos convectivos por meio da implementação de três esquemas: WACEB, CUBISTA e QUICKEST adaptativo. Os resultados produzidos pela implementação dos esquemas convectivos foram analisados por meio de comparações com resultados analíticos e experimentais da literatura, para regimes de escoamento laminar e turbulento. De acordo com as comparações realizadas, o esquema QUICKEST adaptativo apresentou melhor desempenho na modelagem desse escoamento. Diversas simulações numéricas geraram resultados, os quais foram comparados com expressões analíticas e dados experimentais da literatura e com dados produzidos pelo laboratório do Núcleo de Engenharia Térmica e Fluidos (NETeF) da USP São Carlos. Verificou-se, assim, que o modelo matemático produziu resultados compatíveis com o fenômeno estudado, tendo-se, portanto, uma ferramenta para descrição do problema convectivo mássico do escoamento em tubos permeáveis. / Studies applied to the crossflow filtration process have been the goal of several researches due to its large capacity for adaptation to the various industrial processes. The mechanism of transfer associated with this process basically involves fiows in permeable tubes (or membranes) with the phenomenon of mass transfer on the surface. This doctoral thesis presents a numerical modeling able to represent the fiow of Newtonian and non-Newtonian fiuids in permeable tubes applied to the process of crossflow filtration, in laminar and turbulent flow regimes. In the turbulent regime the Prandtl mixing length model was used. The numerical model involved the mass conservation, momentum conservation and mass transport equations coupled to the appropriate boundary conditions. In particular, as it is a numerical model, the discretization of convective terms was analyzed through the implementation of three schemes: WACEB, CUBISTA and adaptative QUICKEST. The results produced by the implementation of the convective schemes were analyzed through comparisons with experimental and analytical results from the literature, for laminar and turbulent flow regImes. According to the comparisons made, adaptative QUICKEST scheme showed the best performance in the modeling in this flow. Several numerical simulations generated results, which were compared with experimental data and analytical expressions of the literature and with data produced by the laboratory of the Center of Thermal Thermal and Fluids Engineering (NETeF) of the EESC- USP/São Cados. It was possible to verify, that the mathematical model produced results consistent with the phenomenon studied, and can be considered a tool for the description of the mass convective problem flow in permeavel tubes.

Un des enjeux majeurs des procédés membranaires concerne le développement de nouveaux matériaux de filtration stables dont les propriétés texturales et structurales permettent d'orienter la sélectivité des membranes de nanofiltration. En particulier, l'utilisation de matériaux zéoliihiques comme couche filtrante a montré qu'après un traitement chimique adéquat, ces matériaux pouvaient acquérir des propriétés de sélectivité très particulières. Ce travail de thèse propose la synthèse, la caractérisation et l'optimisation de membranes de nanofiltration tubulaires en utilisant une zéolithe de type MFI. Plus particulièrement, des films mono et bicouches de zéolithes de type MFI ont été préparés sur un support tubulaire macroporeux asymétrique en alumine. La diffraction de rayons X et la microscopie électronique à balayage ont permis de déterminer la cristallinité, l'homogénéité et l'épaisseur des filins déposés (7 à 15 i_trn). La manométrie d'adsorption d'azote a été utilisée pour vérifier si la porosité après mise en forme restait accessible, ainsi qu'à déterminer la niasse de zéolithe déposée sur le support tubulaire en alumine. La perméabilité hydraulique, qui caractérise l'hydrodynamique d'une membrane, a été déterminée par filtration d'eau déminéralisée. Cette étape dite « de conditionnement » est nécessaire pour parvenir à un état de performance stable de la membrane (état d'équilibre), La perméabilité hydraulique de la membrane mono et bicouche MFI diminue rapidement au début de la phase de conditionnement, et finit par se stabiliser au bout de 15 heures de filtration pour atteindre une valeur minimale de 1,08 x tem-2 et 1,02 x 10-15 m3.ni-2 respectivement. La sélectivité et les performances de filtration de ces membranes vis-à-vis de différents types de solutés (ioniques, molécules organiques, mélanges) ont été analysées à l'issue de la phase de conditionnement. Les résultats obtenus sont très encourageants, ils ont fait l'objet de plusieurs articles de recherche. / Zeolites are very well-known materials especially for their controlled porosity, their crystalline structures, but also for the different applications where they can be used (catalysis, air treatment,...) . During the past ten years, a lot of developments have been done on the preparation of zeolite membranes for pervaporation applications. The present work explores new developments in the preparation zeolite membranes dedicated to the filtration of salty water. More particularly, we prepared MFI films on specific macroporous alumina tubular supports used for nanofiltration applications. There are different key steps which influence the formation of the MFI films: the cleaning procedure of the substrats, the hydrothermal synthesis conditions, the use of a secondary growth method for when preparing a bi-layered membrane. A complete characterization of the mono and the bi-layered membranes was carried out using various techniques, such as X-ray diffraction, scanning electron microscopy, X-ray fluorescence, energy dispersive X-ray spectroscopy, mercury porosimetry and nitrogen sorption measurements. Results show that a dense, continuous and highly crystallized thin film of MFI bas been obtained on the u-alumina support after the secondary growth experiment. The weight of zeolite deposited on the support was also estimated by nitrogen sorption measurement using the method of mass assessment. The MFI membrane was stabilized by pure water filtration tests until the hydraulic permeability reached a plateau. This conditioning step was necessary to reach an equilibrium state of the hydraulic membrane performances. Particularly, hydration of the MFI layer was a crucial step of the conditioning process, which leads to the modification of the MFI surface properties. The hydraulic permeability of the mono and bi-layer MFI membrane decreased rapidly at the beginning of the conditioning process, and stabilized alter 15 hours to reach 1.08 x 10.141113.m.2 and 1.02 x 10-15 m3.m-2 respectively. Filtration tests were then carried out with a neutral molecule (VB 12) in order to evaluate the mean pore radius of the mono and the bi-layered membranes. A rejection rate of 5% was obtained with the monolayer MFI membrane, while it reaches a value of 50% with the bi-layered one. These results lead to mean pore radius corresponding to 6.4 and 1.7 mn respectively. It menus that even alter the synthesis of the second MFI layer, the membrane porosity remains higher than the porous diameter of the zeolite. Filtration may occur at the interface of the MFI crystals.