Ductulator: size a duct from CFM

This ductulator gives you the round duct size, the matching rectangle sizes and the air speed for any airflow in CFM.

Your duct

Size it by

How a duct is sized

Air pushes against the walls of a duct. That drag is called friction. A small duct means high air speed and a lot of friction. That is loud and hard on the fan. A big duct costs more and takes room. Sizing finds the middle.

The equal friction method picks the duct so every foot of duct has the same friction. You give the airflow and the friction rate, and the formula gives the diameter.

Friction (in. wg per 100 ft) = 0.109136 x CFM^1.9 / D^5.02
Diameter D (in) = (0.109136 x CFM^1.9 / friction)^(1 / 5.02)
Air speed (ft/min) = CFM / area (ft2), area = 3.1416 x D x D / 4 / 144
Round size of a rectangle = 1.30 x (a x b)^0.625 / (a + b)^0.25

The formula assumes smooth metal. For rougher duct we divide the friction rate by a roughness factor: 1.08 for duct board and 1.4 for flex. That gives a bigger diameter.

Speed in the duct

Many designers keep branch ducts near 600 feet per minute and trunks at 700 to 900. Over 900 gets noisy in a home. Under 300 the duct may be bigger than it needs to be. The speed check in the result follows that.

Common round sizes at 0.08 friction

These sizes use smooth metal duct and a friction rate of 0.08. They were figured when the page was built.

CFMExact roundStandard roundAir speed
504.7 in5 in367 ft/min
755.5 in6 in382 ft/min
1006.1 in6 in509 ft/min
1507.1 in7 in561 ft/min
2007.9 in8 in573 ft/min
3009.2 in9 in679 ft/min
40010.3 in10 in733 ft/min
60012.0 in12 in764 ft/min
80013.4 in14 in748 ft/min
100014.5 in14 in935 ft/min
120015.6 in16 in859 ft/min
160017.4 in18 in905 ft/min
200018.9 in18 in1,132 ft/min

Standard round sizes are 3 to 10 inches in steps of 1, then 12 to 30 in steps of 2 (14, 16, 18 and so on), and 36. We pick the smallest stock size that is no more than 5 percent under the exact size. A 10.3 in answer becomes a 10 in duct. The friction in that size is a little over the target, and the result shows it.

Get the full version in the app

The web page gives a fast estimate. The iPhone app does the whole job.

  • Every window, wall and duct, not just six choices
  • Load split by room with CFM and duct sizes
  • A PDF report with your logo
  • Works with no signal. Your jobs stay on your phone.
Coming soon on the App StoreFree to download. iPhone only.

Questions people ask

What friction rate should I use for home ducts?

Many home designs use about 0.08 to 0.1 inches of water per 100 feet. Your fan and the total length of duct decide the real number. A longer run needs a lower rate.

How many CFM does each room need?

It depends on the room load. A common start is about 400 CFM for each ton of cooling, shared out by room. The app splits the load by room and gives CFM and a round duct size for each one.

Why does flex duct need a bigger size?

The inside of flex is rough, so air drags more. To keep the same friction, flex needs a larger diameter. Here, duct board counts as 8 percent rougher than metal and flex as 40 percent rougher.

What is the limit on rectangle shape?

Long, thin rectangles lose more energy than square ones. This page shows shapes up to 4 to 1. Squarer is better.

An estimate in the style of ACCA Manual J. It does not replace a certified room by room design. Manual J is a trademark of ACCA. HVAC Load is not affiliated with ACCA.