Fundamental relationships for flows of Bingham fluids in porous media

George C. Vradis, Angelos L. Protopapas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 which 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.

Original languageEnglish (US)
Title of host publicationRecent Advances in Non-Newtonian Flows
PublisherPubl by ASME
Pages57-65
Number of pages9
ISBN (Print)0791811212
StatePublished - Dec 1 1992
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume153
ISSN (Print)0160-8835

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAnaheim, CA, USA
Period11/8/9211/13/92

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ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Vradis, G. C., & Protopapas, A. L. (1992). Fundamental relationships for flows of Bingham fluids in porous media. In Recent Advances in Non-Newtonian Flows (pp. 57-65). (American Society of Mechanical Engineers, Applied Mechanics Division, AMD; Vol. 153). Publ by ASME.