Efficiency, penetration, and the run that counts
Two numbers close this chapter out: how much a control device removes, and whether the measurement proving it is admissible at all.
Collection efficiency: — eta equals C-in minus C-out, over C-in. is the dust loading entering the device and the loading leaving, both in mg/m³ and both on the same basis; is a bare fraction, and the percent sign supplies the ×100. Its complement, , is penetration — and penetration is the honest way to compare good devices. Going from 99 % to 99.9 % sounds like a tenth of a percent and is a tenfold cut in what leaves the stack. Rules of thumb: a single cyclone rarely beats 90 % on total mass, a fabric filter reaches 99.9 %, and both do considerably worse on the fine fraction that PM2.5 is measured in.
Isokinetic sampling: — Q-n equals v-s A-n. is the local stack velocity at the sampling point in m/s, the nozzle tip area, and the flow the pump must draw so that gas enters the nozzle at exactly the speed it was already travelling. The unit bridge is worth memorising outright: 1 m/s through 1 cm² is 6 L/min.
Why it matters is pure inertia. Draw too slowly and gas spills around the nozzle while the heavy particles carry straight in — the sample is enriched and the loading is over-stated. Draw too fast and fine gas is pulled in from the sides without its share of the coarse particles — the sample is diluted and the loading is under-stated. EPA Method 5 accepts 90 to 110 % of isokinetic and rejects the run outside that band, whatever the scaffold cost to erect. Gases are unaffected: the bias is entirely a particle effect, so a run can be perfectly good for NOx and worthless for particulate at the same time.
The bias has a fixed sign for a given error direction, which is why it does not average out over a traverse — and why 'close enough' is not a verdict anyone is allowed to reach.