HVAC · Duct sizing
Duct size calculator: friction and velocity, both checked
Enter the airflow and this returns the round or rectangular duct that carries it — sized on an equal-friction rate the ACCA Manual D way or on a target velocity, with the other limit evaluated at the same time and a sentence naming which one governed. Rectangular sizes match a round duct's friction by the Huebscher relation rather than its area, which is where undersized trunks come from, and the whole stocked-size table at your CFM prints on one sheet. It is free, needs no signup, and the equation behind every figure is printed under it.
- 100% free
- No signup
- 21 stocked round sizes
- Both limits checked
- Huebscher equivalent diameter
The airflow, and what has to hold
Size on a friction rate and the velocity is checked against the application. Size on a velocity and the friction rate is checked against the Manual D band. Either way the sentence under the answer names the limit that decided.
What this section carries, not what the blower makes. A trunk splitting into two branches is sized three times, at three airflows.
700 ft/min recommended, 900 maximum. Nothing breaks at the maximum; the duct gets loud.
Equal friction sizes every section at the same pressure drop per 100 ft. It is not self-balancing: short runs still take more air than long ones, and dampers make up the difference.
Round for the same airflow is less metal, less friction and less noise. Rectangular exists because of the space it has to fit into.
in. w.c. per 100 ft. Default 0.1 — The customary residential design friction rate — the figure a duct calculator's wheel is set to by default and the one most sizing tables are drawn at.
Round duct
16 in round
Metric
406 mm
- Required diameter, before stock
- 15.64 in / 397 mm
- Velocity at the size chosen
- 859 ft/min / 4.37 m/s
- Friction at the size chosen
- 0.07 in. w.c./100 ft / 0.57 Pa/m
- Velocity pressure there
- 0.046 in. w.c. / 11.5 Pa
- Friction rate would allow
- 14.89 in
- Max velocity would allow
- 15.64 in
Velocity is the binding constraint, not friction. 0.1 in. w.c. per 100 ft would allow 14.89 in, but holding 900 ft/min — the maximum for a supply trunk / main in a residence — needs 15.64 in, so the larger figure governs. Relax the velocity limit and this duct gets smaller and louder.
Every stocked size at 1200 CFM
The wheel on a ductulator shows you one size at a time. This is the same equation printed across the neighborhood, so the cost of dropping one size — and the noise you buy with it — is visible at once. Velocity and friction rate are both at the airflow entered above.
| Diameter | Area | Velocity | Friction / 100 ft |
|---|---|---|---|
| 10 in | 0.545 ft² | 2200 ft/min | 0.739 |
| 12 in | 0.785 ft² | 1528 ft/min | 0.296 |
| 14 in | 1.069 ft² | 1123 ft/min | 0.136 |
| 16 inchosen | 1.396 ft² | 859 ft/min | 0.07 |
| 18 in | 1.767 ft² | 679 ft/min | 0.039 |
| 20 in | 2.182 ft² | 550 ft/min | 0.023 |
| 22 in | 2.64 ft² | 455 ft/min | 0.014 |
| 24 in | 3.142 ft² | 382 ft/min | 0.009 |
ASHRAE Handbook—Fundamentals, duct design chapter: Δp per 100 ft = 0.109136 × Q^1.9 ÷ D^5.02, for galvanized steel round duct at an absolute roughness of 0.0003 ft and standard air. Flexible duct pulled tight is roughly twice this, and flex left compressed can be several times it — the single most common reason a system that was sized correctly does not move the air.
Duct velocities the trade designs to
A residence's figures are half a school's and a third of a factory's, and the reason is not strength — it is what the occupant will tolerate hearing. The bedroom branch is the strictest row on the sheet.
| Application | Role | Recommended | Maximum |
|---|---|---|---|
| Residence | Supply trunk / main | 700 ft/min | 900 ft/min |
| Residence | Supply branch | 600 ft/min | 700 ft/min |
| Residence | Return main | 600 ft/min | 700 ft/min |
| Residence | Return branch | 500 ft/min | 600 ft/min |
| School, office, public building | Supply trunk / main | 1000 ft/min | 1300 ft/min |
| School, office, public building | Supply branch | 700 ft/min | 1000 ft/min |
| School, office, public building | Return main | 800 ft/min | 1100 ft/min |
| Industrial building | Supply trunk / main | 1500 ft/min | 1800 ft/min |
| Industrial building | Supply branch | 1000 ft/min | 1300 ft/min |
| Any | Supply register face | 500 ft/min | 750 ft/min |
| Any | Return grille face | 400 ft/min | 500 ft/min |
| Any | Filter face | 350 ft/min | 500 ft/min |
A condensation of the low-velocity duct velocity table of the ASHRAE Handbook—Fundamentals duct design chapter, whose columns are residences, schools/theatres/public buildings and industrial buildings, with a recommended and a maximum for main and branch ducts. Filter and grille face velocities are from the same source's component face-velocity guidance.
Every figure varies — these are guidance, not limits, and the real constraint is what the occupant will tolerate hearing. A duct at the maximum is audible; a bedroom branch at 700 fpm will be complained about even though the table permits it. Sheet metal is quieter than flex at the same velocity, a lined duct quieter again, and a duct with a bad fitting at its inlet is loud at any velocity. Residential design in ACCA Manual D sizes from a friction rate and then checks velocity against a table like this, not the other way round.
How to size a duct for a given CFM
Airflow first, then the basis, then the constraint that decided. The size you buy is the larger of the two limits, and the page says which.
Enter the airflow this section carries
Not what the blower makes — what goes past this point. A trunk that splits into two branches is three separate sizing problems at three airflows, and sizing the whole run at the equipment's rated CFM is how a supply trunk ends up two sizes too big at its far end. The field takes CFM, L/s or m³/h and a unit you type beats the one in the select.
Choose the basis, and say what the duct serves
Equal friction is the Manual D method: pick a rate in inches of water column per 100 ft, or compute it from the blower's available static pressure divided by the system's total effective length. Target velocity works the other way and starts from the noise limit. Either way the application select — residence, school, industrial, and the role within it — supplies the velocity ceiling that gets checked against the answer.
Read which limit governed before you order metal
The sentence under the answer names the constraint: the friction rate wanted one diameter, the velocity ceiling wanted another, and the larger of the two is what you buy. Rectangular sizing then solves the free side against the fixed one, rounds it up to a whole inch and reports the aspect ratio, the fabricated equivalent diameter and the velocity that results. The size table for your airflow prints on one sheet.
Technical specifications
| Friction equation | Pressure drop per 100 ft = 0.109136 × Q^1.9 ÷ D^5.02 — the ASHRAE Handbook—Fundamentals fit to the friction chart for galvanized round duct at 0.0003 ft absolute roughness. 400 CFM in 10 in round returns 0.092 in. w.c. at 733 ft/min, which is where the printed chart reads. |
|---|---|
| Equivalent diameter | Huebscher: De = 1.30 × (a·b)^0.625 ÷ (a + b)^0.25. A 20 × 8 duct has the free area of a 14.27 in round and the friction of a 13.48 in one — 5.5% smaller, and that gap is what matching areas throws away. |
| Round sizes offered | 21 stocked diameters from 3 to 36 in — every inch to 10, then even inches — with the area generated from the diameter rather than tabulated. Past 36 in the page says the table stops instead of extrapolating a size nobody snaplocks. |
| Friction rate default | 0.100 in. w.c. per 100 ft, which is 0.82 Pa/m and the setting a duct wheel ships at. Editable, and computable from the system: available static pressure × 100 ÷ total effective length, the ACCA Manual D calculation, against the 0.06–0.18 band Manual D treats as workable. |
| Velocity limits carried | 12 rows. A residential supply trunk is 700 ft/min recommended and 900 maximum; a residential return branch is 500 and 600; a filter face is 350 and 500; an industrial trunk is 1,500 and 1,800. Nothing fails at the maximum — the duct gets loud. |
| Velocity pressure reported | At 900 ft/min it is 0.0505 in. w.c. (12.6 Pa) and at 700 ft/min 0.0305 in. w.c. (7.6 Pa), from a pitot constant of 4,005 generated at standard air rather than quoted. This is the figure a manometer on a pitot tube should show in the duct you just sized. |
| Rectangular handling | One side fixed, the other solved numerically against the required equivalent diameter and rounded up to a whole inch, with the aspect ratio checked against an editable 4:1 default. Where no width from 1 to 200 in reaches the required diameter, the page says the fixed side is too shallow rather than returning a number. |
| Flexible duct | Roughly twice the friction of galvanized at the same diameter when pulled drum-tight, and several times it when left compressed in a joist bay — the single commonest reason a system sized correctly on paper does not move the air. Size flex on this page and then treat the result as the tight-pulled case. |
Frequently asked questions
Should I size on the friction rate or on the velocity?
Size on the friction rate and use velocity as the check, which is the order ACCA Manual D uses. The friction rate is the property that makes a system balance — every section sized at the same pressure drop per 100 ft means the drop along any path is proportional to its length — whereas velocity is a comfort limit that says nothing about whether the far bedroom gets its air. The exception is a section where noise is the whole problem, such as a short branch straight into a bedroom register, and that is what the velocity basis is for.
Why is the equivalent diameter smaller than the round duct of the same area?
Because a rectangle has more wall touching the air than a circle enclosing the same area, and it is wall that makes friction. The Huebscher relation gives the round duct with the same pressure drop at the same airflow, and for a 20 × 8 it comes out at 13.48 in against the 14.27 in circle of equal area — flatten the duct further and the two diverge further still. A rectangular trunk laid out by matching the area of the round duct the calculator returned is undersized on the day it is installed, and it is the most repeated mistake in residential sheet metal.
Where does 0.1 in. w.c. per 100 ft come from and when is it wrong?
It is a default, not a design — the setting a cardboard duct wheel is printed at and the rate most sizing tables are drawn for. The real figure is the blower's available static pressure, meaning its rating less the coil, the filter, the registers, the grilles and the balancing dampers, multiplied by 100 and divided by the system's total effective length. A short compact system computes well above 0.1 and a sprawling one well below it, and Manual D treats a result outside roughly 0.06 to 0.18 as a sign that something in the system needs to change rather than a number to size at.
Does flexible duct size the same as sheet metal?
No, and the gap is a factor of two at best. The friction equation here is for galvanized steel at an absolute roughness of 0.0003 ft; flex pulled drum-tight between supports runs at roughly twice that drop for the same diameter, and flex left with slack in a joist bay runs at several times it. A nominal 6 in flex is also nominal to its inner liner rather than to anything you can measure from outside, and a compressed one is not a 6 in duct in any sense this equation recognizes. Size on this page, then either upsize the flex or pull it properly.
How flat can a rectangular duct get before it stops being worth it?
4:1 is the usual line, and the penalty either side of it is continuous rather than a cliff. As the duct flattens it needs more sheet metal, more insulation and more hangers for the same airflow, and its friction rises, so the only thing it buys is the ceiling space it fits into. A lot of residential work runs to 5:1 and some commercial risers further; the limit on this page is editable for that reason. What ends the argument is arithmetic rather than taste: below a certain depth no width reaches the required equivalent diameter at all, and the page says so instead of returning a very wide number.
The calculator says 14.89 in. What do I actually buy?
The next size up that exists, which the page picks for you — 16 in, since round duct is stocked every inch to 10 and in even inches after that. Rounding down to 14 in would put the same air through 23% less area, and the printed size table shows exactly what that costs: at 1,200 CFM a 14 in carries 1,123 ft/min at 0.136 in. w.c. per 100 ft against 859 ft/min at 0.070 in a 16 in. The whole neighborhood is printed rather than one answer because the choice between two adjacent sizes is usually about the joist bay, and it should be made with both consequences visible.
Does this size the whole duct system or one piece of it?
One section at a time, at the airflow that section carries. A duct layout is a series of these calculations — the trunk at full airflow, each takeoff at its room's airflow, the return at whatever it collects — plus a fitting-by-fitting effective-length count that decides the friction rate they all share. This page will not lay out a system, will not check that the branches balance, and is not a Manual D: it is the sizing arithmetic those methods rest on, with the table it read printed beside the answer for whoever signs it off.
About equal friction, and the two limits that decide a duct
The plastic wheel in every sheet-metal van is a picture of one equation: pressure drop per 100 ft equals 0.109136 × Q^1.9 ÷ D^5.02, ASHRAE's fit to the friction chart for galvanized round duct. Turn the wheel and you are solving it for the diameter; the little window on the back that converts round to rectangular is a second equation, the Huebscher relation. Both are arithmetic, so a calculator can print them next to the answer instead of asking you to trust a scale printed on cardboard in 1962 — and it can evaluate the two limits a wheel makes you check separately.
Those two limits are the whole design. The friction rate sets the size that keeps every section of the system dropping pressure at the same rate per foot, which is the property that lets a layout balance at all. The velocity limit sets the size the occupant will tolerate hearing, and it is not one number: a residential supply trunk is held at 900 ft/min maximum, a school's at 1,300 and a factory's at 1,800, because what differs is the background noise the duct is competing with, not the strength of the metal. When those two limits disagree the larger duct wins, and knowing which one forced it is what tells you where to go next — a duct that friction sized is a duct with noise in hand, and a duct that velocity sized will only get smaller if somebody accepts more sound. That is the sentence this page prints and the competition does not.
Two things this page deliberately refuses. It will not extrapolate past 36 in, because the stocked size table stops there and a diameter nobody snaplocks is not an answer; and it will not give a rectangular width where no width reaches the required equivalent diameter, because flattening a duct stops buying capacity long before it stops costing metal. Once the size is settled, the airflow that goes into it comes from the CFM calculator, and where the requirement is a ventilation rate rather than a load the air changes per hour calculator works it against what the standards ask. A small exhaust duct behaves differently again — short, fast and dominated by its fittings — which is the bathroom fan CFM calculator. The same pressure-drop question in a liquid is the pipe pressure loss calculator, and if you want to know whether the flow in either is laminar or turbulent before you pick a friction method, that is the Reynolds number calculator. None of this is a stamped design: it is the sizing arithmetic, and the layout, the balance and the equipment selection belong to a load calculation and the engineer who signs it.
Where the sizes you type are worked out
Every number on this page is worked out by JavaScript running in the tab you are reading it in. Nothing you type — loads, lengths, nameplate ratings, the rates your utility charges you — is uploaded, logged or kept, which is also why the calculators carry on working in a mechanical room with no signal.
The airflows and dimensions of the job you are sizing exist only in the open tab, so the printable size table can be produced on a phone in an attic with no signal and no account, and nothing about the building is left on the machine afterwards.