HVAC & Airflow

Equivalent Round Duct Diameter Calculator

Convert rectangular duct to equivalent round.

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Results
Equivalent round diameter
12.19 in
Rectangular area
0.889 sq ft
Round area at De
0.81 sq ft

Quick answer

The ASHRAE equal-friction equivalent round diameter is found from the rectangular duct's two side lengths.

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

How to use the Equivalent Round Duct Diameter Calculator

  1. 1Measure the two inside dimensions of the rectangular duct.
  2. 2Apply the ASHRAE equal-friction formula to get the equivalent round diameter.
  3. 3Use that diameter when comparing to round duct friction charts.

Worked example

Using the values the calculator loads with:

Inputs

  • Rectangular side A16 in
  • Rectangular side B8 in

Results

  • Equivalent round diameter12.19 in
  • Rectangular area0.889 sq ft
  • Round area at De0.81 sq ft

Frequently asked questions

Why not just match cross-sectional area?

Equal-area conversion does not preserve friction; the ASHRAE formula matches friction rate, which is what design actually needs.

Does aspect ratio matter?

Yes — very flat rectangular ducts need a larger equivalent diameter for the same airflow than square ones.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.