Question: Answer correctly if you know otherwise skip for others! 2-2 Flow in Porous Media: Darcy's Law A relationship often used to model fluid flow in

Answer correctly if you know otherwise skip for others!

 Answer correctly if you know otherwise skip for others! 2-2 Flow

2-2 Flow in Porous Media: Darcy's Law A relationship often used to model fluid flow in porous media is Darcy's law, v=--(OP-pg)= -9, where K is the Darcy permeability, g is the gravitational acceleration vector, The Darcy permeability has units of mand 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. (b) Show that for an incompressible fluid, the differential equation from part (a) reduces to V P=0

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