Suppose we install a filtering system at the dam wall that removes pollution at a rate proportional to the concentration at the wall. Assume that the flux at the dam wall is the flux into the filtering system and that the remaining pollution leaves with the discharge from the dam. We may model the situation by assuming that the flux of pollutant at the dam wall is proportional to the amount of concentration there. In other words, the boundary condition takes the form, d/dx(L) = -γ(L). Using the diffusion equation (3.1.18) as before and the same boundary condition at the river entrance, determine the concentration profile and?
