About this calculator
This calculator sizes a round duct for a given airflow and target friction rate. Enter the CFM and the friction rate you are designing to (0.08–0.10 in. w.c. per 100 ft is a common target for low-pressure systems) and it returns the smallest whole-inch diameter that stays at or below that rate, along with the resulting air velocity and the actual friction rate at that size. Use it during duct layout to pick diameters by the equal-friction method, then check the velocity against the noise limits for the space. It uses the same friction relationship as the Static Pressure Calculator, so a duct sized here can be carried straight into a static pressure estimate.
Use when You need to size a round duct for a target friction rate.
Formula Diameter = (0.109136 × CFM1.9 ÷ Friction Rate)1/5.02, rounded up to the next whole inch
Variables
CFM Airflow in cubic feet per minuteFriction Rate Target friction rate in in. w.c. per 100 ft (default 0.1)
Airflow (CFM)
Volume of air flow in cubic feet per minute
Target Friction (in. w.c./100 ft)
Desired friction rate per 100 ft of duct

Diameter (in) —
Velocity (FPM) —
Actual Friction (in. w.c./100 ft) —

How is round duct size calculated?

Round duct is sized by the equal-friction method: choose a friction loss rate per 100 ft of duct, then find the diameter at which the design airflow produces that loss. Friction loss in galvanized round duct at standard air follows Δh = 0.109136 × CFM^1.9 ÷ D^5.02 (in. w.c. per 100 ft, with D in inches), so solving for diameter gives D = (0.109136 × CFM^1.9 ÷ Δh)^(1/5.02). Because duct is manufactured in whole-inch sizes, the result is rounded up to the next inch, which puts the actual friction slightly below the target. Velocity then follows from the chosen size as CFM ÷ duct area. Smaller ducts cost less but run at higher velocity, which raises friction loss (roughly with the square of velocity), fan energy, and noise; the equal-friction target is how designers balance those. Round ducts are preferred where space allows because they have the lowest surface-area-to-volume ratio of any duct shape and so the least friction for a given airflow. For rectangular duct, convert width and height to an equivalent round diameter first.