Applied Field Engineering · Capture and compliance
Efficiency, penetration, and the run that counts
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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: η=CinCoutCin\eta = \dfrac{C_{in} - C_{out}}{C_{in}}eta equals C-in minus C-out, over C-in. CinC_{in} is the dust loading entering the device and CoutC_{out} the loading leaving, both in mg/m³ and both on the same basis; η\eta is a bare fraction, and the percent sign supplies the ×100. Its complement, Cout/CinC_{out}/C_{in}, 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: Qn=vsAnQ_n = v_s A_nQ-n equals v-s A-n. vsv_s is the local stack velocity at the sampling point in m/s, AnA_n the nozzle tip area, and QnQ_n 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.