Free Hydraulic Diameter Calculator

Compute the hydraulic diameter of a rectangular duct or non-circular conduit for fluid flow analysis.

mm
mm

Hydraulic Diameter

342.9 mm

Cross-Sectional Area120,000 mm^2
Wetted Perimeter1,400 mm

Hydraulic Diameter vs Duct Width (a)

Hydraulic Diameter

The hydraulic diameter allows non-circular conduits to be analysed using the same formulas developed for circular pipes.

Formula

D_h = 4 A / P

where A is the cross-sectional flow area and P is the wetted perimeter. For a rectangular duct with sides a and b: D_h = 4ab / (2(a+b)) = 2ab / (a+b). For a circle, D_h equals the actual diameter.

Example Calculation

A rectangular HVAC duct 400 mm wide and 300 mm tall.

  1. 01Area = 400 x 300 = 120,000 mm^2
  2. 02Perimeter = 2 x (400 + 300) = 1,400 mm
  3. 03D_h = 4 x 120,000 / 1,400 = 342.9 mm

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