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...

Solve only when you know absolutely!

Extracted 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.