Dean Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

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

 

Dean number calculator

   

 

Dean Number formula

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

Where:

 Units English Metric
\(\large{ De }\) = Dean number \(\large{dimensionless}\)
\(\large{ \rho }\)  (Greek symbol rho) = density of fluid \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ d }\) = diameter \(\large{in}\) \(\large{mm}\)
\(\large{ \mu }\)  (Greek symbol mu) = dynamic viscosity \(\large{\frac{lbf-sec}{ft^2}}\) \(\large{ Pa-s }\)
\(\large{ r }\) = radius of curviture of the path of channel \(\large{in}\) \(\large{mm}\)
\(\large{ Re }\) = Reynolds number \(\large{dimensionless}\)
\(\large{ v }\) = axial velocity scale \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)

 

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Tags: Flow Equations Fluid Equations Calculators