Duct Size Calculator

Enter airflow and your design friction rate to get the round duct diameter, the next nominal size up, and the resulting air velocity — with the ASHRAE equation documented.

AirHandlerDuct: round galvanizedCFM airflowOutletFriction lossper 100 ftDiameter?
Technical diagram for this calculator
Duct Size Calculator inputs

Residential systems typically 0.06–0.10. Lower = quieter, larger ducts.

Last updated: 2026-09-15

How the calculation works

  • The tool solves the ASHRAE equal-friction chart equation for diameter by iteration — the same equation behind the classic ductulator.
  • It reports the exact diameter and snaps it up to the next standard nominal size (4, 5, 6, 7, 8... inches).
  • Air velocity is checked because noise and pressure drop rise sharply above ~1000 fpm in residential systems.

Formula

Q = 0.455 · A · D^0.61 · ΔP^0.5
solved for D (galvanized round duct, standard air)
Formula variables
SymbolMeaningUnit
QAirflowCFM
ADuct cross-section areaft²
DDuct diameterin
ΔPFriction ratein. w.c. per 100 ft

Worked example

A 400 CFM branch at 0.08 in. w.c./100 ft: exact diameter ≈ 8.0 in, so an 8 in round duct. Velocity comes out around 720 fpm — comfortable. The same 400 CFM in a 6 in duct would run over 1,200 fpm, noisy and lossy.

Interpreting the result

The nominal size is what you install. If velocity exceeds about 900–1000 fpm in occupied spaces, go one size up — noise complaints are common above that. Trunk ducts are usually designed at the same friction rate so the whole system balances; each branch takes its CFM share.

Assumptions

  • Round galvanized steel duct, standard air density, clean interior.
  • Equal-friction design method with a constant friction rate.

Limitations

  • Flexible duct has 2–4× the resistance of smooth metal — upsize significantly or avoid long flex runs.
  • Rectangular ducts need equivalent-diameter conversion; this tool sizes round only.
  • Fittings (elbows, takeoffs) dominate real system pressure loss and are not counted here.

Frequently asked questions

What friction rate should I use?

0.08 in. w.c./100 ft is the common residential default. Use 0.06 for quiet systems or long runs, and higher only for short industrial runs where noise doesn't matter.

Does this work for flex duct?

Not directly. Fully stretched smooth flex is close, but typical compressed flex can double the friction. Size flex one or two nominal sizes larger than the metal equivalent.

Related tools

Technical references