Mémoire de Maîtrise
DOI
10.11606/D.18.2016.tde-01022016-153053
Document
Auteur
Nom complet
Marcelo Evaristo Ferreira
Unité de l'USP
Domain de Connaissance
Date de Soutenance
Editeur
São Carlos, 2003
Directeur
Jury
Fontes, Sérgio Rodrigues (Président)
Seleghim Junior, Paulo
Viotto, Luiz Antonio
Titre en portugais
Modelagem matemática do escoamento laminar em tubo permeável aplicada a microfiltração de suspensões
Mots-clés en portugais
Escoamento laminar
Formulação integral
Microfiltração
Modelagem matemática
Sherwood
Tubos porosos
Resumé en portugais
Titre en anglais
not available
Mots-clés en anglais
Laminar flow
Mathematical modeling
Micro-filtration
Permeable tube
Sherwood
Similarity method
Resumé en anglais
This dissertation presents a mathematical modeling of the larninar flow in permeable tubes applied to the micro-filtration of suspensions. The modeling uses of integral formulation of the conservation equations and of functions pre-established for to represent the fields of velocity and concentration along the permeable tube. The integral equations of the momentum and of conservation of the chemical species its supplied two differential ordinary equations if first order for the variables functional "n(z)" and "m(z)" presents in the pre-established functions. For the solution of these equations was opted for the method of Runge-Kutta of fourth order due to its simplicity and well-known versatility of the literature. However the equation for the conservation of the momentum presented great instability to be submitted to the numeric solution, outlined starting from the imposition forms different from evolution for the field of velocity, through the functional "n(z)" with lineal, exponential and polynomial dependence. However, the solution of the equation for conservation of the species was convergent numerical. Through of the pre-established functions and adjusted starting from the equation of the conservation of the species in the integral form, it was obtained in this work the corresponding values for the dimensionless of Sherwood, quantifying the process of mass transfer. With the values of Sherwood, the results of this modeling were compared with the one of the literature, Grober et al. (Apud Zeman & Zydney, 1996) and other, and they came of agreement for particular cases in the interval of Peclet of 104 the 106.

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Date de Publication
2016-02-02

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