Where in an air supply duct (after the fan) an air damper (or any other resistance to flow) will have less Δ P : closer to the fan, or closer to the outlet ?
For any given flow rate and restriction in a flow stream, the irreversible drop in pressure across that restriction will be lowest where density is highest.
One little qwestion more please. For the known volume (for the known dP) to find the mass flow, what pressure (and RH) do we take : one of before the restriction, after, or a mean ?