HVAC constant-friction round duct size calculator

Calculate round duct diameter for supplied friction factor and resulting mean velocity with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use round duct diameter for supplied friction factor and resulting mean velocity to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Airflow (m³/s)
0.8
Air density (kg/m³)
1.2
User-supplied Darcy friction factor
0.02
Target pressure loss per length (Pa/m)
1
Round duct diameter for supplied friction factor (m)
0.415945
Resulting mean velocity (m/s)
5.887454

Try another scenario

Airflow (m³/s)
1.8
Air density (kg/m³)
1.2
User-supplied Darcy friction factor
0.02
Target pressure loss per length (Pa/m)
1
Round duct diameter for supplied friction factor (m)
0.57532
Resulting mean velocity (m/s)
6.924111
Calculation method

Calculation method

Round duct diameter for supplied friction factor (m)

Solve Darcy-Weisbach pressure gradient fρv²/(2D), v=4Q/(πD²), assuming constant supplied f.

Resulting mean velocity (m/s)

Solve Darcy-Weisbach pressure gradient fρv²/(2D), v=4Q/(πD²), assuming constant supplied f.

Symbols and units
a
Airflow (m³/s)
b
Air density (kg/m³)
c
User-supplied Darcy friction factor
d
Target pressure loss per length (Pa/m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Solve Darcy-Weisbach pressure gradient fρv²/(2D), v=4Q/(πD²), assuming constant supplied f. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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