Hydraulic Diameter Rectangular Ducts

Overview

Engineering reference data for Hydraulic Diameter Rectangular Ducts in fluid mechanics.

Key Formulas

Reynolds Number

$Re = \frac{\rho v D}{\mu}$

Ratio of inertial to viscous forces — determines flow regime.

Bernoulli's Equation

$P + \frac{1}{2}\rho v^2 + \rho g h = \text{const}$

Conservation of energy for steady, inviscid, incompressible flow.

Continuity Equation

$A_1 v_1 = A_2 v_2$

Conservation of mass for incompressible flow.

Darcy-Weisbach

$\Delta P = f \frac{L}{D} \frac{\rho v^2}{2}$

Pressure drop due to friction in a pipe.

Variables

Hydraulic Diameter Data Table

The following table provides hydraulic diameters for common rectangular duct dimensions. Values are calculated using the formula $d_h = \frac{2ab}{a + b}$.

Interactive Charts

References

• Original Source