Darcy's law is a generalized relationship to describe the flow...

Darcy's law is a generalized relationship to describe the flow of a fluid through a porous medium. It shows the flow rate of a fluid through a container as a function of the cross sectional area, elevation and fluid pressure. The configuration that we will consider in this problem is what is called a one-dimensional flow problem. Consider the flow column as shown in Figure 3.R.5. As indicated by the arrows, the fluid flow is from left to right through a container with a circular cross section. The container is filled with a porous material (for example, pebbles, sand, or cotton) that allows for the fluid to flow. At the entrance and the exit of the container are piezometers that measure the hydraulic head, that is, the water pressure per unit weight, by reporting the height of the water column. The difference in the water heights in the pizeometers is denoted ?h. For this configuration Darcy experimentally calculated that