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Duct Calculator

Size a duct from airflow and target velocity, check an existing round or rectangular duct, and calculate pressure loss from entered coefficients.

Created by:
Jamie C.
Jamie C.

Across her work, Jamie focuses on bridging operational precision with practical technology adoption. She develops industry-specific calculators, software guides, and technical content tailored to the construction, residential living, HVAC, and artificial intelligence sectors. By pairing hands-on systems design with advanced AI and automation workflows, her resources empower trade specialists, contractors, and growing teams to eliminate bottlenecks, forecast project requirements accurately, and run more efficient operations. Fluent in five languages, Jamie approaches every tool and article with an emphasis on clarity, actionable utility, and real-world results.

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Area = airflow ÷ velocity; round diameter = √(4 × area / π); pressure loss = (f × length / hydraulic diameter + K) × density × velocity² / 2

What does this duct calculator calculate?

Size a duct from airflow and target velocity, check an existing round or rectangular duct, and calculate pressure loss from entered coefficients.

Which measurements do you need?

Choose sizing to derive cross-sectional area from airflow and target velocity. Choose checking to calculate velocity in an existing inside diameter or rectangular opening.

Inputs and measurement roles
Input Use
Airflow in selected flow unit Measured or specified project value
Target velocity Measured or specified project value
Rectangular width / height ratio Measured or specified project value
Inside round diameter Measured or specified project value
Inside rectangular width Measured or specified project value
Inside rectangular height Measured or specified project value
Straight duct length Measured or specified project value
Darcy friction factor (optional) Optional supplied value
Air density (kg/m³, optional) Optional supplied value
Total fitting loss coefficient K (optional) Optional supplied value

Which formula produces the result?

Area = airflow ÷ velocity; round diameter = √(4 × area / π); pressure loss = (f × length / hydraulic diameter + K) × density × velocity² / 2

Round and rectangular duct cross-sectional area diagram

How does a worked example look?

At 400 CFM and 600 ft/min, required area is 0.667 sq ft and a velocity-equivalent round diameter is about 11.06 in.

How should you enter units?

Select metric or imperial before entering dimensions. Switching units converts entered measurement fields; prices and dimensionless percentages keep their values.

Which assumptions affect this estimate?

The sizing result reports both a circular diameter and a rectangular width and height at your chosen aspect ratio. Neither result automatically rounds to an available manufactured size.

How should you interpret rounding?

Pressure loss uses Darcy friction factor, straight length, air density and the total fitting loss coefficient K you supply. A Fanning friction factor must be multiplied by four before it is used as Darcy f.

Which project details need another check?

In sizing mode, pressure is calculated along the round equivalent path. For a rectangular pressure estimate, use checking mode with rectangular dimensions; hydraulic diameter is 2ab/(a+b).

How can you compare scenarios?

Calculate a baseline, add it to compare, then change one input and calculate again. The comparison keeps input and result snapshots so you can identify what changed.

Which tools can help with the next step?

Use the HVAC & Climate Control tool directory for related calculations. Keep the scope and units consistent when moving between tools.

Project worksheet

What are your duct inputs?

Velocity sizing is not a complete duct design. Pressure calculation uses your Darcy factor and fitting coefficients; it omits fan selection, leakage, balancing and system interactions.

Units

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Frequently asked questions

What questions come up about this calculation?

Which assumptions affect this estimate?

The sizing result reports both a circular diameter and a rectangular width and height at your chosen aspect ratio. Neither result automatically rounds to an available manufactured size.

Which project details need another check?

In sizing mode, pressure is calculated along the round equivalent path. For a rectangular pressure estimate, use checking mode with rectangular dimensions; hydraulic diameter is 2ab/(a+b).

Can you compare alternative project inputs?

Calculate a baseline and choose Add to compare. Change the inputs and calculate again to preserve a separate input and result snapshot.

Sources

Which sources support this calculation?

  1. NIST: SI units
  2. US Department of Energy: duct pressure-loss methods
Created by

Who created this duct calculator?

Jamie C.

Across her work, Jamie focuses on bridging operational precision with practical technology adoption. She develops industry-specific calculators, software guides, and technical content tailored to the construction, residential living, HVAC, and artificial intelligence sectors. By pairing hands-on systems design with advanced AI and automation workflows, her resources empower trade specialists, contractors, and growing teams to eliminate bottlenecks, forecast project requirements accurately, and run more efficient operations. Fluent in five languages, Jamie approaches every tool and article with an emphasis on clarity, actionable utility, and real-world results.

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