TY - GEN
T1 - Fundamental relationships for flows of Bingham fluids in porous media
AU - Vradis, George C.
AU - Protopapas, Angelos L.
PY - 1992
Y1 - 1992
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:0026972838
SN - 0791811212
T3 - American Society of Mechanical Engineers, Applied Mechanics Division, AMD
SP - 57
EP - 65
BT - Recent Advances in Non-Newtonian Flows
PB - Publ by ASME
T2 - Winter Annual Meeting of the American Society of Mechanical Engineers
Y2 - 8 November 1992 through 13 November 1992
ER -