The estimates, one by one
Units: airflow in m³/h and CFM (1 CFM = 1.699 m³/h); pressure in pascals (1 inH₂O = 249.09 Pa); velocity in m/s (1 ft/min = 0.00508 m/s).
CADR: clean-air delivery rate
CADR is the volume of fully clean air delivered per unit time: the airflow through the box multiplied by how much of the targeted particulate it removes on a single pass. It is the standard portable-air-cleaner metric defined by ANSI/AHAM AC-1.
For PC-fan builds the operating-point airflow comes from the fan/filter intersection (see
Total airflow); it is then reduced by a build-efficiency factor of
0.85 for leakage, fan guards, and fan-to-fan interaction, and multiplied by the MERV-13
single-pass efficiency (see Filter efficiency). For the box-fan
"filter cube" build, airflow comes from an empirical power-law fit through reference four-filter cubes
(capped at the unit's no-filter shroud airflow) and the single-pass capture is a conservative whole-cube
figure (0.50 for media ≥30 mm deep, otherwise 0.43). The cube model's depth and shroud gains match
the EPA's DIY chamber study.
You can also measure your finished box's CADR with a phone barometer, working backward from the pressure drop across the filters instead of predicting it from the fan.
Sources: AHAM AC-1 (CADR) · box-fan airflow from NIOSH bench tests (Derk et al. 2023); cube single-pass capture calibrated to UC Davis (Dal Porto et al. 2022) and HouseFresh in-room reviews.
Infection-risk reduction
A purifier delivers its CADR as equivalent clean air. In a well-mixed room the steady-state
airborne-pathogen concentration is inversely proportional to the total clean-air supply rate, so adding
the unit changes that rate from the room's baseline ventilation B to B + CADR.
The relative reduction in long-range airborne dose (and, for a fixed exposure, infection risk) is:
Working in air changes per hour cancels the room volume, so the only extra input is the room's own
ventilation, which you set with the Room ventilation field in Advanced (default 1 ACH;
roughly 0.3 for a sealed room, 1 for a typical home, 3+ if well ventilated). This is the
Wells-Riley result:
raising the clean-air supply Q lowers risk in proportion to 1/Q.
Sources: Rudnick & Milton, 2003 (rebreathed-fraction / Wells-Riley) · dilution-based Wells-Riley expansion (well-mixed limits).
Total airflow: the operating point
A fan and a filter meet at one operating point: the pressure where the fan can still push as much air as
the filter will pass. Each fan model carries a normalised pressure/flow (PQ) curve scaled to its rated
free-air flow Q₀ and maximum static pressure P₀. The filter's resistance is a
quadratic in face velocity V (FPM), the standard media-resistance form:
The tool solves by bisection for the ΔP where N · fan(Q) = filter(Q), then converts that
airflow to CFM/m³h. Effective pleated-media area is derived from the filter's outer dimensions and grows
with depth (up to 1.8× for deep media). When the honeycomb grill is enabled, its restriction is added in
series with each fan as an Idel'chik thin-perforated-plate loss (a deliberately conservative model, so it
never over-states airflow). Reported airflow is after the 0.85 build-efficiency factor.
Sources: the MERV-13 resistance coefficients, the effective-area formula, and the 120/140 mm fan
curve shapes are reverse-engineered from Nukit and community data built on 3M Filtrete
lab data and Arctic P12/P14 PQ curves; the solver reproduces that sheet's worked example to ~0.1%.
Each fan's free-air flow Q₀ and static pressure P₀ come from independent
Cybenetics LW-9266 bench measurements where available, rather than manufacturer marketing specs.
The fan-curve / system-resistance intersection is standard fan engineering; the grill loss uses
I. E. Idel'chik, Handbook of Hydraulic Resistance (thin-perforated-plate coefficient).
Face velocity
The air speed through the filter media: airflow divided by the effective media area, taken from the resistance curve at the operating ΔP and converted from ft/min to m/s (× 0.00508).
It matters because a filter's rated efficiency is measured at a reference face velocity (around 2.5 m/s in ASHRAE 52.2 testing). The large media area of a multi-filter box runs far below that, which tends to improve capture and keep pressure drop (and noise) low.
System pressure drop
The static pressure the fans work against at the operating point, where fan output equals the filter (plus grill) resistance, converted from inH₂O to pascals (× 249.09). Higher pressure drop means a clogged or undersized filter relative to the fans; it pushes the operating point to lower airflow.
Filter efficiency
The single-pass fraction of particles the media captures. ANSI/ASHRAE 52.2
reports MERV efficiency in three particle-size bands: E1 (0.3–1 µm), E2 (1–3 µm), and E3
(3–10 µm). This tool uses the published per-band values for a MERV-13 furnace filter
(62% / 87% / 95%) and averages them to about 81% as the single headline figure; the per-band
numbers are shown in the breakdown. The box-fan cube pushes air through the media much faster, so it
uses a conservative whole-system single-pass figure instead (0.43 for 1" media, 0.50 for ≥2"),
consistent with the 41–58% effective efficiency measured at UC Davis and calibrated so the cube's
CADR matches independent room reviews.
A packaged particle filter (such as the IKEA STARKVIND, an EPA12 unit rated at about 99.5% of PM2.5) is not a furnace pleat, so it is modeled with its own rated single-pass efficiency and a plain frontal-area resistance, both calibrated so a measured reference box reproduces its published CADR. The Performance panel shows that filter's own grade (for example EPA12) on the efficiency tile.
Sources: ANSI/ASHRAE 52.2 (MERV / E1–E3 bands); per-band values from the filter manufacturer's published MERV-13 data; cube efficiency from Dal Porto et al. 2022 (UC Davis).
Power & current
PC fans run on 12 V: total current is the per-fan rated current × the number of fans, and power is
P = 12 V × I. The box fan runs on mains: the figure is its rated wattage at the selected
speed, and current is I = P / 120 V. Per-fan specs come from each model's datasheet, or
from the values you enter for a Custom fan.
Cost to run (24/7)
Energy use at the build's maximum-power draw, run continuously, priced at your electricity rate:
It assumes the fans run flat-out around the clock, an upper bound. Running slower, or only when needed, costs proportionally less. The rate shown by default is the approximate US residential average; set your own from a recent bill in Advanced.
Air changes per hour (ACH)
How many times per hour the build can process a volume of clean air equal to the whole room:
Room volume comes from the width, length, and ceiling height you enter. Public-health guidance for infection control targets at least 5 ACH of clean air in occupied spaces (US CDC), and ASHRAE Standard 241 frames the same idea as an "equivalent clean airflow" rate. A purifier's CADR counts toward that target alongside any fresh-air ventilation.
Sources: US CDC, ventilation (5+ ACH) · ASHRAE Standard 241.
Noise
For PC-fan builds, each fan's spec dBA is first mapped to a realistic in-enclosure level: Arctic fans use
a measured linear fit (0.461 × spec + 26.4) and other brands use spec + a 3.4 dB enclosure
offset. The fans are then summed as independent sources (+10·log₁₀(N)) and corrected from the
3 ft spec distance to 1 m (≈ −0.78 dB). The box-fan build uses the whole unit's measured
dBA at the chosen speed, distance-corrected. These offsets are calibrated against
HouseFresh in-room measurements, so the
"real-world" figure is usually higher than the bare spec.
Sources: incoherent-source addition (standard acoustics, L = 10·log₁₀ Σ 10^(Lᵢ/10));
calibration against HouseFresh measurements.
Calibration & limits
The fan PQ-curve shapes, the MERV-13 resistance and efficiency coefficients, the box-fan power law, and the noise offsets are all fit to published data and independent measurements, but your build will differ. Treat every figure as a ballpark for comparing designs, not a certified rating. In particular:
- CADR drops as filters load with dust or smoke, so change them during heavy-use events.
- Leakage, fan guards, and a missing shroud all cost airflow; the model already discounts for typical losses but can't see your exact assembly.
- The filter media removes particles, not gases: it does not lower CO₂, and odor/VOC removal would need activated carbon, which these designs don't include.
- The infection-risk figure is a relative, long-range, well-mixed estimate (see that section's caveat).
Help improve these estimates
These numbers get more accurate every time a real build is measured. If you have measured the CADR, airflow, noise, or power of a build that resembles one of these designs, we would be genuinely grateful for the data, and happy to credit you. Even a single careful measurement helps anchor the model and tightens the estimates for everyone who uses the builder after you.
The most useful submissions include, where you have them:
- The build: filter size and MERV/MPR (or the box-fan model), fan model and count, and fan speed.
- The measurement: CADR or airflow (with units), and how it was measured (instrument or method, test volume or chamber).
- Optional but valued: measured noise (with distance), power draw, and any photos of the build.
You can send measurements or corrections through the contact page. Independent reviewers whose published data already anchors this model are credited in the references below; we would like to keep adding to that list.
References
Standards & definitions
- AHAM: Air filtration standards (ANSI/AHAM AC-1, CADR)
- ANSI/ASHRAE 52.2: Method of testing general ventilation air-cleaning devices (MERV; E1–E3 size bands)
- US CDC: Ventilation in buildings (5+ air changes per hour)
- ASHRAE Standard 241: Control of Infectious Aerosols (equivalent clean airflow)
Airborne-infection model
- Rudnick & Milton (2003), Indoor Air: airborne infection risk from CO₂ (rebreathed-fraction form of the Wells-Riley model)
- Dilution-based expansion of the Wells-Riley model: states the well-mixed / long-range limitation
Box-fan ("filter cube") airflow, efficiency & calibration
- Dal Porto, Kunz, Pistochini, Corsi & Cappa (2022), Aerosol Science & Technology 56(6) 564–572: DIY box-fan filter performance; 41–58% effective efficiency (UC Davis)
- Derk et al. (2023), Building and Environment 229, 109920: NIOSH head-to-head airflow for seven box-fan models
- US EPA: Research on DIY air cleaners to reduce wildfire smoke indoors (shroud / filter-depth / four-filter gains)
- HouseFresh: DIY filter-cube review (CADR, noise, power)
- Jeff Kaufman: evaluating a DIY filter cube (Lasko + 4× MERV-13; ~246 cfm)
Independent build measurements (noise / CADR anchors)
- HouseFresh: CleanAirKits Luggable XL-7 review (7× SickleFlow 120; 38.8 dBA @ 3 ft)
- HouseFresh: Nukit Tempest review (6× Arctic P14; 41.8 dBA @ 3 ft, ~247 cfm)
Source dataset & specs
- Community filter/fan data: 3M Filtrete MERV/MPR resistance curves and Arctic P12/P14 PQ curves (PC-mode coefficients, effective-area formula, and fan-curve shapes reverse-engineered from it).
- Fan airflow (Q₀) and static pressure (P₀): independent Cybenetics LW-9266 open-loop bench measurements, used in place of manufacturer marketing figures where available.
- Manufacturer specs: Arctic P12/P14, Noctua NF-A12x25/NF-A14x25, be quiet! Silent Wings 4, Cooler Master SickleFlow/MasterFan/Mobius, NZXT F140P, Corsair RS140 MAX (noise and rated current); Air King 9723 spec sheet; Lasko B20200/3723 and Hurricane HGC736501.
- IKEA STARKVIND particle filter: EPA12, rated about 99.5% of PM2.5 (its grade and frontal dimensions drive its calibrated efficiency and resistance).