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Journal of Porous Media
Fator do impacto: 1.752 FI de cinco anos: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v4.i4.30
12 pages

An Extended Capillary Model for Flows in Porous Media

Giulio Massarani
In memoriam-Federal University of Rio de Janeiro, Cidade Universitária−Ilha do Fundão Brasil
Affonso Silva Telles
Curso de Pos-Graduagao em Tecnologia de Processos Quimicos e Bioquimicos (TPQB), Departamento de Engenharia Quimica, Escola de Quimica, Centre de Tecnologia, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

RESUMO

This article presents results on a general capillary model employed to determine the constitutive equations that govern the motion of fluids in porous media. Results for the resistive force are based on the material functions of non-Newtonian fluids in viscometric flows inside capillary tubing. A general equation valid for all types of simple fluids is presented, first as applicable to isotropic media, and then generalized to the case of symmetric anisotropy. The normal stresses appear in the expression for the resistive force in a term involving the Deborah numbers. Constitutive equations, in terms of the same viscometric functions, are also obtained for the extra stress present in the general equations of motion.


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