A fan does not know there is a damper in front of it. It makes the pressure its curve says it will make, and anything the duct does not need is burnt across the damper as heat and noise — you pay for every kilowatt of it. This works out how efficient your fan really is, how much of its power the damper is throwing away, and what a speed drive would give you back in a year. Press YOUR FAN on the board to type your numbers in.
Fan power, false air and unreliable gas measurements quietly increase fuel and electricity cost while weakening every heat and mass balance in the plant.
See whether the fan is operating where it should and quantify pressure, shaft power and energy lost across the damper before changing the fan or drive.
Keep the gas-side audit together: save readings by fan, duct or machine, revisit the same equipment later and produce a report with findings, cost signals and priorities.
Connected to current industry priorities around energy efficiency, emissions measurement, waste heat and combustion optimisation reported in World Cement, CemNet and Global Cement.See process-tool plansρN = MW / 22.414, then
ρ = ρN × 273.15/(273.15+T) × Pabs/101325,
where the absolute pressure is the barometric pressure plus the static pressure at the fan —
which is negative when the fan sucks. Checked: your sheet gives 0.834656 kg/m³ at 150 °C
and 0.616217 at 300 °C, and this reproduces both to six figures.Q₂/Q₁ = N₂/N₁,
ΔH₂/ΔH₁ = (N₂/N₁)² × (ρ₂/ρ₁),
P₂/P₁ = (N₂/N₁)³ × (ρ₂/ρ₁). Your sheet
lists those ratios in its own rows and this matches every point of its curve — 2962.2 Pa at
6.944 m³/s becomes 2125.11 Pa at 5.882 m³/s for a speed ratio of 0.847, and 0.847²
is exactly 0.717409.η = Q [m³/s] × ΔH [Pa] ÷ shaft power [W]. A cement plant fan
in good order runs 70–85 %. Below about 60 % something is wrong — a worn or
coated impeller, the wrong wheel, or a fan running far off its best point.k × Q². Everything else is burnt across the damper. Measure the pressure
either side of the damper and this becomes exact: kduct = (ΔHfan
− Δpdamper) / Q².Q ÷ Qfree, where
Qfree is where the fan curve crosses the duct resistance. Power then falls with the cube
of speed. The cube law assumes the efficiency does not change with speed, which is not quite true,
so the saving is an estimate — a good one, and it is always conservative in practice because a
drive also removes the throttling turbulence.