Fluid Flow Through a Class of Highly-Deformable Porous Media. Part II: Experiments With Water

1981 ◽  
Vol 103 (3) ◽  
pp. 440-444 ◽  
Author(s):  
G. S. Beavers ◽  
K. Wittenberg ◽  
E. M. Sparrow

Experiments were performed to explore the relationships between liquid-saturated and gas-saturated deformable porous media. Water and air served as the participating fluids. From quasi-static compression experiments (no fluid flow), it was found that the force required to compress a given deformable porous material is substantially less when the material is water-saturated than when it is in air. Water flow measurements yielded flow rate-pressure drop results which are compared with analytical predictions. The predictions were based on input values of certain material flow parameters which had been determined in previous air flow experiments. The observed level of agreement between the predictions and the water flow measurements lends support to the notion that the flow parameters are independent of the participating fluid. In the course of establishing the effects of the participating fluid, the stress relaxation and aging phenomena were quantified. The former is a relaxation of the internal stress in a deformable material which occurs after a compression is imposed and maintained. The latter is a process whereby the deformation characteristics change when the material is subjected to a succession of compressions.

1981 ◽  
Vol 103 (3) ◽  
pp. 432-438 ◽  
Author(s):  
G. S. Beavers ◽  
A. Hajji ◽  
E. M. Sparrow

This paper, together with a companion paper which follows, describes a many-faceted experimental investigation aimed at determining basic characteristics of fluid flow through deformable porous media. A major focus of the work is to establish the validity and the range of applicability of a simple analytical model for the fluid flow. The present paper describes experiments with a gas (air) as the working fluid, while the companion paper (Part II) deals with liquid-flow (i.e., water-flow) experiments. The experiments encompassed three distinct phases. In the first phase, the stress-deformation characteristics were measured (without fluid flow). In the second, flow-related material properties that are relevant to the analytical model (e.g., permeability, Forchheimer coefficient) were determined. The third phase consisted of measurements of mass flow rate as a function of applied pressure differential. The results of the first two phases were used as input to the analytical model, which yielded predictions of mass flow versus applied pressure. These predictions were shown to be in very good agreement with the experimental results, for those conditions where the model is applicable. Two unusual features of the participating deformable materials (polyurethane foams) were encountered, namely, a decrease of cross-sectional area with increasing compression and a slow relaxation of the internal stresses at a fixed compression.


1994 ◽  
Vol 28 (6) ◽  
pp. 808-813
Author(s):  
V. V. Kadet ◽  
R. M. Musin ◽  
V. I. Selyakov

1999 ◽  
Vol 266 (1-4) ◽  
pp. 420-424 ◽  
Author(s):  
U.M.S. Costa ◽  
J.S.Andrade Jr. ◽  
H.A. Makse ◽  
H.E. Stanley

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