Open AccessFlows of Bingham Materials Through Ideal Porous Media: an Experimental and Theoretical Study
Author(s) -
Paulo R. Souza Mendes,
Mônica F. Naccache,
Carlos Valois Maciel Braga,
Angela O. Nieckele,
Flávio S. Ribeiro
Publication year - 2002
Publication title -
revista brasileira de ciências mecânicas
Language(s) - English
Resource type - Journals
ISSN - 0100-7386
DOI - 10.1590/s0100-73862002000100006
Subject(s) - bingham plastic , porous medium , pressure drop , mechanics , rheometer , materials science , rheology , constitutive equation , viscosity , newtonian fluid , non newtonian fluid , porosity , thermodynamics , finite element method , composite material , physics
The flow of Bingham liquids through porous media has been studied. Experiments have been performed to determine the flow rate / pressure drop relationship for the flow of a grease of Binghamian rheological behavior through an array of rods of circular cross section. The yield stress and plastic viscosity of the grease have been determined with the aid of a controlled stress rotational rheometer. To investigate a wider range of the flow parameters, the mass and momentum conservation equations have been solved numerically, in conjunction with the generalized Newtonian constitutive law and the bi-viscosity model. The finite volume method has been employed to obtain the numerical solution. These numerical results also yielded a flow rate / pressure drop relationship, which is in very good agreement with the experimental results. A capillaric theory has been developed to determine an analytical relationship between the flow rate and pressure drop for flows of Bingham liquids through porous media. It is shown that the predictions of this theory are in good agreement with the experimental and numerical results