Duct Size Calculator

Size a round or rectangular duct for a given airflow using the equal-friction method, check the air velocity against noise limits, and see what flexible duct costs you.

How to use this calculator

  1. 1Enter the airflow this particular run carries — one room’s requirement for a branch, or everything downstream for a trunk.
  2. 2Use 0.1 in.wc per 100 ft only as a starting point. If you know the blower’s available static pressure and the total effective length of the longest run, divide one by the other and use that instead.
  3. 3Set the material honestly. Flexible duct genuinely needs a larger size than metal, and compressed flexible duct needs a much larger one.
  4. 4Check the velocity against the limit. Duct noise complaints are almost always a velocity problem, not a fan problem.
  5. 5For rectangular, enter the height your joist bay or soffit allows and read off the width needed.

How the calculation works

Friction (in.wc per 100 ft) = 0.109136 x CFM^1.9 ÷ D^5.02 D (inches) = (0.109136 x CFM^1.9 ÷ friction rate)^(1 ÷ 5.02) Velocity (fpm) = CFM ÷ duct area in square feet Rectangular equivalent: De = 1.30 x (a x b)^0.625 ÷ (a + b)^0.25 Rough material: size at friction rate ÷ material factor
CFM
Airflow in cubic feet per minute through this particular run
Friction rate
Pressure lost to friction per 100 feet of duct, in inches of water column. The equal-friction method holds it constant across the system
D
Internal diameter in inches. The 5.02 exponent is why duct size is so unforgiving
De
Circular equivalent diameter — the round duct that has the same friction loss at the same airflow as a given rectangular one
Material factor
How much more resistance a duct has than smooth galvanised metal: about 1.3 for duct board, 1.5 for taut flex, and 3 or more for compressed flex

The exponent of 5.02 on diameter is the single most important thing on this page. Halving a duct’s diameter multiplies its pressure drop by about 32, and going down one nominal size typically doubles it. This is why "it was only one size smaller" is never a defence, and why crushing a flex duct in a joist bay can strangle an entire branch.

The equal-friction method sizes every run to the same pressure drop per foot, which is simple and gives a reasonable result when run lengths are similar. Where they differ a lot, the short runs get too much air and the long ones too little, and balancing dampers become mandatory rather than a nicety.

Circular equivalent diameter is not the same as equal cross-sectional area. A rectangular duct has more wetted perimeter per unit of area than a round one, so it needs more area to move the same air — and the penalty grows with aspect ratio, which is why 4:1 is the usual practical limit.

Worked example

400 cfm through smooth metal at the traditional 0.1 friction rate

  1. 1.Friction equation rearranged: D = (0.109136 x 400^1.9 ÷ 0.1)^(1 ÷ 5.02).
  2. 2.400^1.9 = 88,050, so 0.109136 x 88,050 = 9,609.
  3. 3.9,609 ÷ 0.1 = 96,094, and 96,094^(1/5.02) = 9.83 inches.
  4. 4.The nearest stocked size up is 10 inches.
  5. 5.A 10-inch duct has an area of 0.545 sq ft, so 400 cfm moves at 734 fpm — inside the 900 fpm branch limit.
  6. 6.Dropping to 9 inches would give 906 fpm and 0.156 in.wc per 100 ft — about 1.7 times the pressure drop, for one nominal size.

Result: 10 inch round duct

Why duct size matters more than equipment size

A great deal of attention goes into choosing the right furnace or heat pump, and comparatively little into the ducts that distribute what it produces. This is backwards. Undersized ductwork is one of the most common faults in American housing stock, and it degrades everything downstream of it: the equipment cannot deliver its rated capacity, the blower works harder and uses more electricity, rooms at the end of long runs never get comfortable, and a coil starved of airflow can freeze in cooling or overheat in heating.

The reason it goes unnoticed is that an undersized duct system does not fail outright. It just underperforms quietly, forever, and the occupants conclude the equipment is too small. A common and expensive sequence follows: the homeowner replaces a correctly sized furnace with a larger one, which needs even more airflow than the ducts could not supply in the first place, and the problem gets worse.

The physics behind the sensitivity is the exponent. Friction loss scales with diameter to roughly the fifth power, so a six-inch duct carries not slightly less air than a seven-inch one at the same pressure but dramatically less. In a system already short of static pressure, one undersized branch is enough to leave a room permanently uncomfortable.

What the friction rate actually is, and where 0.1 came from

The equal-friction method sizes every duct in a system so that each loses the same amount of pressure per foot of length. That constant is the friction rate, expressed in inches of water column per 100 feet of duct.

The traditional residential default is 0.1, and it is worth understanding that this number is a convention rather than a physical constant. It comes from an era of belt-drive blowers with generous static pressure available and relatively short, simple duct systems. Modern equipment often has less available static pressure than people assume — much of the blower’s budget is consumed by the coil, the filter and the fittings before any duct is reached.

ACCA Manual D does this properly. It starts from the blower’s external static pressure, subtracts the pressure consumed by the coil, filter, grilles and registers, and divides what remains by the total effective length of the longest run — where every elbow, boot and takeoff is counted as an equivalent number of feet of straight duct. On real systems that calculation frequently produces a friction rate nearer 0.06 than 0.1, and therefore ducts a size or two larger than the traditional rule suggests.

The practical implication for anyone using this page: 0.1 is a reasonable starting point for a quick check, and if you are actually designing a system, derive the real number instead.

Velocity, noise and the limits worth respecting

Sizing on friction alone can produce a duct that works on paper and is unbearable to live with, because pressure drop is not the only consequence of small ducts. Air moving quickly makes noise, and the noise rises steeply with velocity.

  • Below about 700 fpmeffectively silent in a branch. This is where bedroom supply runs belong.
  • 700 to 900 fpmthe normal residential branch range. Audible if you listen for it, unobtrusive in practice.
  • 900 to 1,200 fpmacceptable in a main trunk in a basement or attic, where nobody is sitting. Too fast for a branch near a living space.
  • Above 1,200 fpmnoisy anywhere, and in a branch it produces the rushing sound people describe as a "windy" system. It also drives up pressure drop sharply, since friction rises with roughly the square of velocity.
  • At the registerthe grille itself has a velocity limit lower than the duct feeding it, typically 500 to 750 fpm for a supply in a living space. A correctly sized duct feeding an undersized register still whistles.

The flexible duct problem

Flexible duct is fast to install, cheap, and forgiving of an imperfect route, which is why so much of it exists. It also has substantially more resistance than smooth metal of the same diameter, because the interior is a corrugated liner supported on a wire helix rather than a smooth wall.

Fully stretched and properly supported, flex duct has roughly one and a half times the friction loss of metal — a real penalty, but one that can simply be designed around by going up a size. The serious problem is that flex duct is very often not fully stretched. Installers leave slack to absorb the run, it sags between supports, and it gets compressed where it passes through a tight space.

Compression is dramatically worse than the material penalty. Research on this has repeatedly found that compressing flexible duct even modestly multiplies its resistance several times over, because the corrugations deepen and the effective cross-section narrows. A branch that was sized correctly on paper and installed with 15% compression can deliver a fraction of its design airflow.

The right response is not to size around it. Pulling flex duct taut, supporting it at short intervals with wide straps that do not pinch, and using metal elbows for turns recovers most of the loss for a trivial cost. Where a system is underperforming and the ducts are flex, the first thing to do is go and look at them.

Round against rectangular

Round duct is more efficient than rectangular, for a reason that comes straight from geometry: a circle encloses the most area for a given perimeter. Since friction happens at the wall, and the wall length is the perimeter, a round duct presents the least friction per unit of air carried. Rectangular duct exists because it fits where round duct will not — inside a joist bay, above a soffit, in the depth of a wall.

Converting between the two uses circular equivalent diameter, and the important thing is that it is not equal area. A rectangular duct needs more cross-sectional area than a round one to move the same air against the same pressure drop, and the penalty grows as the shape gets flatter.

This is why aspect ratio matters. A 12 by 8 duct at 1.5:1 is close to as good as its equivalent round. A 30 by 4 duct at 7.5:1 has an enormous perimeter for its area, wastes sheet metal on wall that does nothing but create friction, and in practice performs worse than even the equivalent-diameter formula predicts. Four to one is the conventional limit, and staying under three to one is better where the space allows.

What this page deliberately does not do

Sizing a single duct run is one step of a design, and it is worth being explicit about the rest, because the gap between this calculation and a real design is where uncomfortable houses come from.

A complete design starts with ACCA Manual J, a room-by-room heat loss and gain calculation that establishes how much air each room actually needs — not an estimate from floor area, but a computation from the room’s walls, windows, orientation, infiltration and internal gains. Manual S then selects equipment that matches that load. Only then does Manual D size the distribution, working from the blower’s real available static pressure and the total effective length of each run, with every fitting counted.

Equivalent length is the part most casual calculations skip and the part that most often explains a shortfall. A 90-degree elbow can be worth 15 to 30 feet of straight duct. A takeoff, a boot, a balancing damper and a register between them can add more equivalent length than the physical run. A branch measuring 20 feet on the tape can easily have a total effective length over 100 feet, and sizing it as 20 feet of duct will starve it.

What this assumes, and where it stops

Assumptions

  • Friction follows the standard chart relationship for galvanised duct at sea-level air density: 0.109136 x CFM^1.9 ÷ D^5.02 inches of water per 100 feet.
  • Rougher materials are handled by dividing the design friction rate by a material factor — 1.3 for duct board, 1.5 for taut flex, 3 for compressed flex.
  • The result sizes straight duct only. No allowance is made for the equivalent length of elbows, takeoffs, boots or dampers.
  • Rectangular equivalents use the ASHRAE circular-equivalent formula, which assumes a reasonable aspect ratio.
  • Velocity limits of 900 fpm for branches and 1,200 fpm for trunks are conventional residential practice, not code requirements.

Limitations

  • This is not ACCA Manual D. It sizes one run at a friction rate you supply, rather than deriving that rate from the blower’s available static pressure and the total effective length of the system.
  • Fitting losses are excluded, and they are frequently larger than the straight-duct losses. A single elbow can be worth 15 to 30 feet of duct.
  • Airflow per room should come from a Manual J load calculation. Deriving it from tonnage, as the alternative input here does, distributes air by equipment capacity rather than by what each room needs.
  • Air density is assumed at sea level. At high altitude the same duct carries less mass of air, and both equipment and ducts need adjusting.
  • Nothing here covers duct sealing or insulation, and leakage in an unconditioned attic or crawlspace can waste more energy than any sizing decision recovers.

Common questions

What size duct do I need for 400 CFM?

About 10 inches round in smooth metal at the traditional 0.1 in.wc per 100 ft friction rate, giving 734 feet per minute — comfortably quiet. In flexible duct pulled taut you would want 11 to 12 inches for the same performance, and if the friction rate from a proper Manual D calculation is lower than 0.1, larger again.

What friction rate should I design to?

The traditional residential default is 0.1 inches of water per 100 feet, but it is a convention rather than a physical constant. A proper calculation divides the blower’s available static pressure — after the coil, filter and grilles have taken their share — by the total effective length of the longest run, and on modern systems that often lands nearer 0.06, which produces larger ducts.

Why does flexible duct need to be bigger than metal?

Because the interior is a corrugated liner on a wire helix rather than a smooth wall, so it has roughly one and a half times the friction loss of metal at the same diameter when pulled fully taut. When it sags or is compressed the penalty multiplies several times over, which is why compressed flex is a leading cause of systems that were sized correctly and still cannot deliver air.

How fast should air move through a duct?

Below about 900 feet per minute in a branch serving a living space, and below about 1,200 in a main trunk running through a basement or attic. Above those figures the air becomes audible, and above 1,200 in a branch you get the rushing noise people call a windy system. Registers have their own, lower limit of roughly 500 to 750 fpm.

Is round duct better than rectangular?

Yes, on performance. A circle encloses the most area for a given perimeter, and friction happens at the wall, so round duct has the least resistance per unit of air. Rectangular exists to fit spaces round duct cannot. Keep the aspect ratio under about 4:1 — a very flat duct has a large perimeter for its area and performs worse than the equivalent-diameter formula predicts.

Sources

Formula and content last reviewed on .

Results are estimates for information only, not professional advice.

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