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Duct Size Calculator

Size round and rectangular duct from airflow and friction rate, with velocity checks.

Airflow
CFM

Roughly 400 CFM per ton of cooling for the whole system, divided among the branches by room load.

In. w.c. per 100 ft of effective length. Manual D derives this from available static pressure divided by total effective length.

The duct
Material
Where it runs

The velocity ceiling is what keeps the duct from becoming audible.

Sizing a single duct is one step of a duct design. A full Manual D adds up the total effective length of every fitting on the worst run and compares it against the blower table before a friction rate is chosen at all.

Round duct size

10"round

Calculated requirement is 9.21" — rounded up to the next stocked size.
Velocity at this sizeSupply branch ceiling is 600 FPM
550 FPM
Actual friction at this sizeDesign rate was 0.08 in/100 ft
0.053 in/100 ft
Free area0.545 sq ft
78.5 sq in
Capacity at the design rate81% of this duct's capacity is used
372 CFM

Velocity is inside the quiet range for a supply branch

At 550 FPM this duct runs below the 600 FPM ceiling, so it should not be audible in a quiet room. Register and grille selection still matters — most duct noise complaints trace to an undersized register face, not the duct behind it.
Rectangular duct equivalent to 10" round
Rectangular sizeEquivalent roundFree areaVelocityAspect ratio
10" × 8"9.76"80 sq in540 FPM1.3:1
14" × 6"9.80"84 sq in514 FPM2.3:1
What each stocked round size carries at this friction rate
DiameterCapacityVelocity at capacityVelocity at your CFM
8"207 CFM592 FPM859 FPM
9"282 CFM638 FPM679 FPM
10" — selected372 CFM683 FPM550 FPM
12"603 CFM768 FPM382 FPM
14"906 CFM848 FPM281 FPM

Equivalent rectangular sizes come from the Huebscher relationship, De = 1.30 × (a × b)^0.625 ÷ (a + b)^0.25. Two ducts with the same equivalent round diameter move the same air at the same friction rate, but a flatter duct has more surface area, more heat loss and more sheet metal, so aspect ratios beyond about 4:1 are avoided where framing allows.

What this assumes

  • Based on the Darcy-Weisbach friction relationship for galvanized duct at standard air density.
  • Default friction rate is 0.08 in. w.c. per 100 feet, typical for residential systems.
  • Flexible duct carries significantly higher friction and should be sized one step larger than rigid.

Important

A full duct design requires ACCA Manual D, including total effective length, fitting equivalent lengths and available static pressure from the blower table.

Understanding the result

Velocity drives noise

Residential supply trunks are generally kept under 900 feet per minute and branch runouts under 600 FPM. Above those figures, the duct becomes audible. Commercial systems tolerate higher velocity because ambient noise is higher and duct is usually lined.

Return air is the usual failure point

Undersized returns are the most common duct defect in residential systems. Starved returns raise static pressure, cut airflow across the coil and can freeze an evaporator. Return duct should be sized at least as generously as supply.