Hydraulic Diameter of a Duct, Pipe or Tube

on . Posted in Fluid Dynamics

hydraulic diameter of a pipeThe hydraulic diameter, abbreviated as Dh, is used to calculate the Reynolds Number, friction factor or for calculating pressure drop across two points.  For most geometries, the hydraulic diameter, or characteristic length, is not equal to the diameter of the shape.  However, in a circular application such as a pipe, duct or tube, the hydraulic diameter is equal to the diameter.

 

Hydraulic Diameter of a Duct, Pipe or Tube Formula

\( d_h =  4 \; \pi \; r^2 \;/\; 2 \; \pi \; r \)     (Hydraulic Diameter of a Duct, Pipe or Tube)

\( r =  d_h \;/\; 2 \)

Solve for dh

radius, r

Solve for r

hydraulic diameter, dh

Symbol English Metric
\( d_h \) = hydraulic diameter \(in\) \(mm\)
\( r \) = pipe inside radius \(in\) \(mm\)

 

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Tags: Pipe Sizing Hydraulic Pressure Loss