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Do not mix diameter definitions

Rectangular Duct Diameter Definitions

Compare the ASHRAE equal-friction round equivalent with hydraulic diameter and equal-area diameter. These quantities answer different questions and are generally not interchangeable.

Equal frictionHydraulic diameterEqual area

Geometric comparison

Equal-friction round equivalent De
Hydraulic diameter Dh
Equal-area diameter DA
Rectangular area
Aspect ratio

De = 1.30(ab)^0.625 / (a+b)^0.25

ASHRAE Handbook, Duct Design defines De as the circular equivalent of a rectangular duct for equal airflow, resistance and length. Its SI Table 3 gives 378 mm for 400 × 300 mm; the equation returns 377.7088 mm before rounding.

Dh = 4A/Pw = 2ab/(a+b)

Hydraulic diameter uses flow area and wetted perimeter. A NASA duct-flow derivation gives Dh=4A/Pw and, for a rectangle, Dh=2ab/(a+b). It is the characteristic length used in Reynolds/friction correlations when that model is applicable; it is not the ASHRAE equal-friction round size.

DA = √(4ab/π)

DA is only the round diameter with the same cross-sectional area. Equal area does not imply equal resistance. De alone also does not calculate pressure drop: the selected duct method still needs flow, length, roughness, fluid properties and applicable fitting losses.

Removed unsupported claims: universal aspect-ratio recommendations and an accuracy percentage without an applicability range/source. Presets and prefilled dimensions were removed so the page opens without a hidden design assumption.

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Rectangular straight-duct geometry only; fittings and system pressure loss require a complete duct model. Scientific review: July 2026.

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