Dean Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Dean number, abbreviated as De, is a dimensionless number used in momentum transfer for the flow in curved pipes and channels. The equation and calculation is shown below.

 

\(\large{ De = \sqrt { \frac {d}{2 \; r}  } \; \frac {\rho \; v \; d}{ \mu }  = \sqrt { \frac  { d }  { 2 \; r }  } \;  Re  }\)

Where:

\(\large{ De }\) = Dean number

\(\large{ \rho }\)  (Greek symbol rho) = density of the fluid

\(\large{ d }\) = diameter

\(\large{ \mu }\)  (Greek symbol mu) = dynamic viscosity

\(\large{ r }\) = radius of curviture of the path of channel

\(\large{ Re }\) = Reynolds number

\(\large{ v }\) = axial velocity scale

Tags: Equations for Flow Equations for Fluid