Macroscopic Conductivities for Flow of Bingham Plastics in Porous Media
Publication: Journal of Hydraulic Engineering
Volume 119, Issue 1
Abstract
The purpose of this study is to derive macroscopic equations of motion in saturated porous media for non‐Newtonian Bingham fluids (i.e., fluids exhibiting a yield stress) based on conceptual microscopic models of the porous medium and on the fundamentals of fluid mechanics. The “capillary tubes” as well as the “resistance to flow” models, developed for the case of Newtonian fluids, are here modified to account for the effects of the yield stress. A generalized Darcy's law is derived and expressions are developed that can be used to predict the conductivity of a homogeneous porous medium. In addition, the minimum static head gradient required for the initiation of flow in the porous medium is predicted using these two models. The analytical results hereby obtained are consistent with the scarce experimental data available in the literature and provide the proper theoretical framework for their understanding.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 119 • Issue 1 • January 1993
Pages: 95 - 108
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Dec 2, 1991
Published online: Jan 1, 1993
Published in print: Jan 1993
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