A relationship often used to model fluid flow in porous media is Darcy's law, -- vP-PR)=-v9, where k is the Darcy permeability, g is the gravitational acceleration vector, and 9 is the dynamic pressure .The Darcy permeability has units of m² and is a constant for a given mate- rial. The velocity and pressure in Darcy's law are averaged over a length scale large compared to the size of individual pores, but small compared to the dimensions of the object. That is, micro- structural details are not considered. Pore structure enters only through its effect on the value of K, which is usually determined by experiment. (a) For a material of average porosity & (volume fraction of pores), use Darcy's law to obtain expressions for conservation of mass in the fluid, first in integral (control volume) form and then in differential form.
A relationship often used to model fluid flow in porous media is Darcy's law, -- vP-PR)=-v9, where k is the Darcy permeability, g is the gravitational acceleration vector, and 9 is the dynamic pressure .The Darcy permeability has units of m² and is a constant for a given mate- rial. The velocity and pressure in Darcy's law are averaged over a length scale large compared to the size of individual pores, but small compared to the dimensions of the object. That is, micro- structural details are not considered. Pore structure enters only through its effect on the value of K, which is usually determined by experiment. (a) For a material of average porosity & (volume fraction of pores), use Darcy's law to obtain expressions for conservation of mass in the fluid, first in integral (control volume) form and then in differential form.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Transcribed Image Text:A relationship often used to model fluid flow in porous media is Darcy's law,
v= -VP-pg) = -"v9,
where x is the Darcy permeability, g is the gravitational acceleration vector, and 9 is the dynamic
.The Darcy permeability has units of m2 and is a constant for a given mate-
pressure
rial. The velocity and pressure in Darcy's law are averaged over a length scale large compared to
the size of individual pores, but small compared to the dimensions of the object. That is, micro-
structural details are not considered. Pore structure enters only through its effect on the value of
K, which is usually determined by experiment.
(a) For a material of average porosity & (volume fraction of pores), use Darcy's law to
obtain expressions for conservation of mass in the fluid, first in integral (control volume)
form and then in differential form.
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