For this, the Laplace Equation is

Integrating twice, a general solution is obtained.

The values of constants can be determined from the specific boundary conditions.

As shown, at x = 0, h = H , and at x = L, h = 0

Substituting and solving,

c₂ = H ,

The specific solution for flow in the above permeameter is

which states that head is dissipated in a linearly uniform manner over the entire length of the permeameter.