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SILVA, J.M. (2008). Numerical modeling of the flow in permeable tube applied to the crossflow filtration process. Ph.D. Thesis Escola de Engenharia de Sao Carlos, Universidade de Sao Paulo, Sao Carlos, 2008. 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 flows 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 flow of Newtonian and non-Newtonian fluids 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 iii 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/Sao Carlos. 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.

Modelagem numérica do escoamento num tubo permeável aplicada ao processo de filtração tangencial